Transcript ppsx
Slide 1
Wednesday:
The width (w) of a swimming pool must be 10 feet,
but the length (l ) can change. What happens to
the perimeter of the pool as the length changes?
A. As l increases by 1 ft, P increases by 1 ft.
B. As l decreases by 1 ft, P increases by 1 ft.
C. As l increases by 1 ft, P increases by 2 ft.
D. As l decreases by 1 ft, P increases by 2 ft.
Daily Word Problems
October 14 - 18
2. Using Rates in Equations
During the summer, Howard makes
$8.50 per hour working for his
uncle’s construction business. Write
an equation that could be used to find
the number of hours, x, that Howard
must work to earn $510.
ON TARGET
Review
SOLVING LINEAR INEQUALITIES
GUIDED PRACTICE
Graph the inequality.
1. x > – 5
The solutions are all real numbers greater than 5.
An open dot is used in the graph to indicate – 5 is
not a solution.
GUIDED PRACTICE
Graph the inequality.
2. x ≤ 3
The solutions are all real numbers less than or
equal to 3.
A closed dot is used in the graph to indicate 2 is a
solution.
EXAMPLE
2
Solve an inequality with a variable on both sides
GUIDED PRACTICE
3. Solve 5x + 2 > 7x – 4. Then graph the solution.
5x + 2 > 7x – 4
– 2x + 2 > – 4
– 2x > – 6
x<3
Write original inequality.
Subtract 7x from each side.
Subtract 2 from each side.
Divide each side by – 2 and reverse the
inequality.
ANSWER
The solutions are all real numbers less than 3. The
graph is shown below.
Extra Examples
Solve the inequality. Then graph the solution.
4. 5x – 7 ≤ 6x
5x – 7 ≤ 6x
x>–7
Write original inequality.
Subtract 5x from each side.
5. 3 – x > x – 9
3–x>x–9
3 – 2x > – 9
– 2x > – 12
x<6
Write original inequality.
Subtract x from each side.
Subtract 3 from each side.
Divide each side by –2 and reverse.
Inequalities
Overview of Handout
Highlighter Recommendations
Page 138 – Negative Number Rule
Page 140 –Variable on the Right
Page 142 – Open circle vs. Closed
Circle
Example 3 page 143
Which solutions of the
following inequalities are
represented by the graph?
Must solve each inequality to
answer question.
For an accuracy grade
Page 144 Practice 1 #1-2
Page 144 Practice 2 #1-5
Show all work.
Slide 2
Wednesday:
The width (w) of a swimming pool must be 10 feet,
but the length (l ) can change. What happens to
the perimeter of the pool as the length changes?
A. As l increases by 1 ft, P increases by 1 ft.
B. As l decreases by 1 ft, P increases by 1 ft.
C. As l increases by 1 ft, P increases by 2 ft.
D. As l decreases by 1 ft, P increases by 2 ft.
Daily Word Problems
October 14 - 18
2. Using Rates in Equations
During the summer, Howard makes
$8.50 per hour working for his
uncle’s construction business. Write
an equation that could be used to find
the number of hours, x, that Howard
must work to earn $510.
ON TARGET
Review
SOLVING LINEAR INEQUALITIES
GUIDED PRACTICE
Graph the inequality.
1. x > – 5
The solutions are all real numbers greater than 5.
An open dot is used in the graph to indicate – 5 is
not a solution.
GUIDED PRACTICE
Graph the inequality.
2. x ≤ 3
The solutions are all real numbers less than or
equal to 3.
A closed dot is used in the graph to indicate 2 is a
solution.
EXAMPLE
2
Solve an inequality with a variable on both sides
GUIDED PRACTICE
3. Solve 5x + 2 > 7x – 4. Then graph the solution.
5x + 2 > 7x – 4
– 2x + 2 > – 4
– 2x > – 6
x<3
Write original inequality.
Subtract 7x from each side.
Subtract 2 from each side.
Divide each side by – 2 and reverse the
inequality.
ANSWER
The solutions are all real numbers less than 3. The
graph is shown below.
Extra Examples
Solve the inequality. Then graph the solution.
4. 5x – 7 ≤ 6x
5x – 7 ≤ 6x
x>–7
Write original inequality.
Subtract 5x from each side.
5. 3 – x > x – 9
3–x>x–9
3 – 2x > – 9
– 2x > – 12
x<6
Write original inequality.
Subtract x from each side.
Subtract 3 from each side.
Divide each side by –2 and reverse.
Inequalities
Overview of Handout
Highlighter Recommendations
Page 138 – Negative Number Rule
Page 140 –Variable on the Right
Page 142 – Open circle vs. Closed
Circle
Example 3 page 143
Which solutions of the
following inequalities are
represented by the graph?
Must solve each inequality to
answer question.
For an accuracy grade
Page 144 Practice 1 #1-2
Page 144 Practice 2 #1-5
Show all work.
Slide 3
Wednesday:
The width (w) of a swimming pool must be 10 feet,
but the length (l ) can change. What happens to
the perimeter of the pool as the length changes?
A. As l increases by 1 ft, P increases by 1 ft.
B. As l decreases by 1 ft, P increases by 1 ft.
C. As l increases by 1 ft, P increases by 2 ft.
D. As l decreases by 1 ft, P increases by 2 ft.
Daily Word Problems
October 14 - 18
2. Using Rates in Equations
During the summer, Howard makes
$8.50 per hour working for his
uncle’s construction business. Write
an equation that could be used to find
the number of hours, x, that Howard
must work to earn $510.
ON TARGET
Review
SOLVING LINEAR INEQUALITIES
GUIDED PRACTICE
Graph the inequality.
1. x > – 5
The solutions are all real numbers greater than 5.
An open dot is used in the graph to indicate – 5 is
not a solution.
GUIDED PRACTICE
Graph the inequality.
2. x ≤ 3
The solutions are all real numbers less than or
equal to 3.
A closed dot is used in the graph to indicate 2 is a
solution.
EXAMPLE
2
Solve an inequality with a variable on both sides
GUIDED PRACTICE
3. Solve 5x + 2 > 7x – 4. Then graph the solution.
5x + 2 > 7x – 4
– 2x + 2 > – 4
– 2x > – 6
x<3
Write original inequality.
Subtract 7x from each side.
Subtract 2 from each side.
Divide each side by – 2 and reverse the
inequality.
ANSWER
The solutions are all real numbers less than 3. The
graph is shown below.
Extra Examples
Solve the inequality. Then graph the solution.
4. 5x – 7 ≤ 6x
5x – 7 ≤ 6x
x>–7
Write original inequality.
Subtract 5x from each side.
5. 3 – x > x – 9
3–x>x–9
3 – 2x > – 9
– 2x > – 12
x<6
Write original inequality.
Subtract x from each side.
Subtract 3 from each side.
Divide each side by –2 and reverse.
Inequalities
Overview of Handout
Highlighter Recommendations
Page 138 – Negative Number Rule
Page 140 –Variable on the Right
Page 142 – Open circle vs. Closed
Circle
Example 3 page 143
Which solutions of the
following inequalities are
represented by the graph?
Must solve each inequality to
answer question.
For an accuracy grade
Page 144 Practice 1 #1-2
Page 144 Practice 2 #1-5
Show all work.
Slide 4
Wednesday:
The width (w) of a swimming pool must be 10 feet,
but the length (l ) can change. What happens to
the perimeter of the pool as the length changes?
A. As l increases by 1 ft, P increases by 1 ft.
B. As l decreases by 1 ft, P increases by 1 ft.
C. As l increases by 1 ft, P increases by 2 ft.
D. As l decreases by 1 ft, P increases by 2 ft.
Daily Word Problems
October 14 - 18
2. Using Rates in Equations
During the summer, Howard makes
$8.50 per hour working for his
uncle’s construction business. Write
an equation that could be used to find
the number of hours, x, that Howard
must work to earn $510.
ON TARGET
Review
SOLVING LINEAR INEQUALITIES
GUIDED PRACTICE
Graph the inequality.
1. x > – 5
The solutions are all real numbers greater than 5.
An open dot is used in the graph to indicate – 5 is
not a solution.
GUIDED PRACTICE
Graph the inequality.
2. x ≤ 3
The solutions are all real numbers less than or
equal to 3.
A closed dot is used in the graph to indicate 2 is a
solution.
EXAMPLE
2
Solve an inequality with a variable on both sides
GUIDED PRACTICE
3. Solve 5x + 2 > 7x – 4. Then graph the solution.
5x + 2 > 7x – 4
– 2x + 2 > – 4
– 2x > – 6
x<3
Write original inequality.
Subtract 7x from each side.
Subtract 2 from each side.
Divide each side by – 2 and reverse the
inequality.
ANSWER
The solutions are all real numbers less than 3. The
graph is shown below.
Extra Examples
Solve the inequality. Then graph the solution.
4. 5x – 7 ≤ 6x
5x – 7 ≤ 6x
x>–7
Write original inequality.
Subtract 5x from each side.
5. 3 – x > x – 9
3–x>x–9
3 – 2x > – 9
– 2x > – 12
x<6
Write original inequality.
Subtract x from each side.
Subtract 3 from each side.
Divide each side by –2 and reverse.
Inequalities
Overview of Handout
Highlighter Recommendations
Page 138 – Negative Number Rule
Page 140 –Variable on the Right
Page 142 – Open circle vs. Closed
Circle
Example 3 page 143
Which solutions of the
following inequalities are
represented by the graph?
Must solve each inequality to
answer question.
For an accuracy grade
Page 144 Practice 1 #1-2
Page 144 Practice 2 #1-5
Show all work.
Slide 5
Wednesday:
The width (w) of a swimming pool must be 10 feet,
but the length (l ) can change. What happens to
the perimeter of the pool as the length changes?
A. As l increases by 1 ft, P increases by 1 ft.
B. As l decreases by 1 ft, P increases by 1 ft.
C. As l increases by 1 ft, P increases by 2 ft.
D. As l decreases by 1 ft, P increases by 2 ft.
Daily Word Problems
October 14 - 18
2. Using Rates in Equations
During the summer, Howard makes
$8.50 per hour working for his
uncle’s construction business. Write
an equation that could be used to find
the number of hours, x, that Howard
must work to earn $510.
ON TARGET
Review
SOLVING LINEAR INEQUALITIES
GUIDED PRACTICE
Graph the inequality.
1. x > – 5
The solutions are all real numbers greater than 5.
An open dot is used in the graph to indicate – 5 is
not a solution.
GUIDED PRACTICE
Graph the inequality.
2. x ≤ 3
The solutions are all real numbers less than or
equal to 3.
A closed dot is used in the graph to indicate 2 is a
solution.
EXAMPLE
2
Solve an inequality with a variable on both sides
GUIDED PRACTICE
3. Solve 5x + 2 > 7x – 4. Then graph the solution.
5x + 2 > 7x – 4
– 2x + 2 > – 4
– 2x > – 6
x<3
Write original inequality.
Subtract 7x from each side.
Subtract 2 from each side.
Divide each side by – 2 and reverse the
inequality.
ANSWER
The solutions are all real numbers less than 3. The
graph is shown below.
Extra Examples
Solve the inequality. Then graph the solution.
4. 5x – 7 ≤ 6x
5x – 7 ≤ 6x
x>–7
Write original inequality.
Subtract 5x from each side.
5. 3 – x > x – 9
3–x>x–9
3 – 2x > – 9
– 2x > – 12
x<6
Write original inequality.
Subtract x from each side.
Subtract 3 from each side.
Divide each side by –2 and reverse.
Inequalities
Overview of Handout
Highlighter Recommendations
Page 138 – Negative Number Rule
Page 140 –Variable on the Right
Page 142 – Open circle vs. Closed
Circle
Example 3 page 143
Which solutions of the
following inequalities are
represented by the graph?
Must solve each inequality to
answer question.
For an accuracy grade
Page 144 Practice 1 #1-2
Page 144 Practice 2 #1-5
Show all work.
Slide 6
Wednesday:
The width (w) of a swimming pool must be 10 feet,
but the length (l ) can change. What happens to
the perimeter of the pool as the length changes?
A. As l increases by 1 ft, P increases by 1 ft.
B. As l decreases by 1 ft, P increases by 1 ft.
C. As l increases by 1 ft, P increases by 2 ft.
D. As l decreases by 1 ft, P increases by 2 ft.
Daily Word Problems
October 14 - 18
2. Using Rates in Equations
During the summer, Howard makes
$8.50 per hour working for his
uncle’s construction business. Write
an equation that could be used to find
the number of hours, x, that Howard
must work to earn $510.
ON TARGET
Review
SOLVING LINEAR INEQUALITIES
GUIDED PRACTICE
Graph the inequality.
1. x > – 5
The solutions are all real numbers greater than 5.
An open dot is used in the graph to indicate – 5 is
not a solution.
GUIDED PRACTICE
Graph the inequality.
2. x ≤ 3
The solutions are all real numbers less than or
equal to 3.
A closed dot is used in the graph to indicate 2 is a
solution.
EXAMPLE
2
Solve an inequality with a variable on both sides
GUIDED PRACTICE
3. Solve 5x + 2 > 7x – 4. Then graph the solution.
5x + 2 > 7x – 4
– 2x + 2 > – 4
– 2x > – 6
x<3
Write original inequality.
Subtract 7x from each side.
Subtract 2 from each side.
Divide each side by – 2 and reverse the
inequality.
ANSWER
The solutions are all real numbers less than 3. The
graph is shown below.
Extra Examples
Solve the inequality. Then graph the solution.
4. 5x – 7 ≤ 6x
5x – 7 ≤ 6x
x>–7
Write original inequality.
Subtract 5x from each side.
5. 3 – x > x – 9
3–x>x–9
3 – 2x > – 9
– 2x > – 12
x<6
Write original inequality.
Subtract x from each side.
Subtract 3 from each side.
Divide each side by –2 and reverse.
Inequalities
Overview of Handout
Highlighter Recommendations
Page 138 – Negative Number Rule
Page 140 –Variable on the Right
Page 142 – Open circle vs. Closed
Circle
Example 3 page 143
Which solutions of the
following inequalities are
represented by the graph?
Must solve each inequality to
answer question.
For an accuracy grade
Page 144 Practice 1 #1-2
Page 144 Practice 2 #1-5
Show all work.
Slide 7
Wednesday:
The width (w) of a swimming pool must be 10 feet,
but the length (l ) can change. What happens to
the perimeter of the pool as the length changes?
A. As l increases by 1 ft, P increases by 1 ft.
B. As l decreases by 1 ft, P increases by 1 ft.
C. As l increases by 1 ft, P increases by 2 ft.
D. As l decreases by 1 ft, P increases by 2 ft.
Daily Word Problems
October 14 - 18
2. Using Rates in Equations
During the summer, Howard makes
$8.50 per hour working for his
uncle’s construction business. Write
an equation that could be used to find
the number of hours, x, that Howard
must work to earn $510.
ON TARGET
Review
SOLVING LINEAR INEQUALITIES
GUIDED PRACTICE
Graph the inequality.
1. x > – 5
The solutions are all real numbers greater than 5.
An open dot is used in the graph to indicate – 5 is
not a solution.
GUIDED PRACTICE
Graph the inequality.
2. x ≤ 3
The solutions are all real numbers less than or
equal to 3.
A closed dot is used in the graph to indicate 2 is a
solution.
EXAMPLE
2
Solve an inequality with a variable on both sides
GUIDED PRACTICE
3. Solve 5x + 2 > 7x – 4. Then graph the solution.
5x + 2 > 7x – 4
– 2x + 2 > – 4
– 2x > – 6
x<3
Write original inequality.
Subtract 7x from each side.
Subtract 2 from each side.
Divide each side by – 2 and reverse the
inequality.
ANSWER
The solutions are all real numbers less than 3. The
graph is shown below.
Extra Examples
Solve the inequality. Then graph the solution.
4. 5x – 7 ≤ 6x
5x – 7 ≤ 6x
x>–7
Write original inequality.
Subtract 5x from each side.
5. 3 – x > x – 9
3–x>x–9
3 – 2x > – 9
– 2x > – 12
x<6
Write original inequality.
Subtract x from each side.
Subtract 3 from each side.
Divide each side by –2 and reverse.
Inequalities
Overview of Handout
Highlighter Recommendations
Page 138 – Negative Number Rule
Page 140 –Variable on the Right
Page 142 – Open circle vs. Closed
Circle
Example 3 page 143
Which solutions of the
following inequalities are
represented by the graph?
Must solve each inequality to
answer question.
For an accuracy grade
Page 144 Practice 1 #1-2
Page 144 Practice 2 #1-5
Show all work.
Slide 8
Wednesday:
The width (w) of a swimming pool must be 10 feet,
but the length (l ) can change. What happens to
the perimeter of the pool as the length changes?
A. As l increases by 1 ft, P increases by 1 ft.
B. As l decreases by 1 ft, P increases by 1 ft.
C. As l increases by 1 ft, P increases by 2 ft.
D. As l decreases by 1 ft, P increases by 2 ft.
Daily Word Problems
October 14 - 18
2. Using Rates in Equations
During the summer, Howard makes
$8.50 per hour working for his
uncle’s construction business. Write
an equation that could be used to find
the number of hours, x, that Howard
must work to earn $510.
ON TARGET
Review
SOLVING LINEAR INEQUALITIES
GUIDED PRACTICE
Graph the inequality.
1. x > – 5
The solutions are all real numbers greater than 5.
An open dot is used in the graph to indicate – 5 is
not a solution.
GUIDED PRACTICE
Graph the inequality.
2. x ≤ 3
The solutions are all real numbers less than or
equal to 3.
A closed dot is used in the graph to indicate 2 is a
solution.
EXAMPLE
2
Solve an inequality with a variable on both sides
GUIDED PRACTICE
3. Solve 5x + 2 > 7x – 4. Then graph the solution.
5x + 2 > 7x – 4
– 2x + 2 > – 4
– 2x > – 6
x<3
Write original inequality.
Subtract 7x from each side.
Subtract 2 from each side.
Divide each side by – 2 and reverse the
inequality.
ANSWER
The solutions are all real numbers less than 3. The
graph is shown below.
Extra Examples
Solve the inequality. Then graph the solution.
4. 5x – 7 ≤ 6x
5x – 7 ≤ 6x
x>–7
Write original inequality.
Subtract 5x from each side.
5. 3 – x > x – 9
3–x>x–9
3 – 2x > – 9
– 2x > – 12
x<6
Write original inequality.
Subtract x from each side.
Subtract 3 from each side.
Divide each side by –2 and reverse.
Inequalities
Overview of Handout
Highlighter Recommendations
Page 138 – Negative Number Rule
Page 140 –Variable on the Right
Page 142 – Open circle vs. Closed
Circle
Example 3 page 143
Which solutions of the
following inequalities are
represented by the graph?
Must solve each inequality to
answer question.
For an accuracy grade
Page 144 Practice 1 #1-2
Page 144 Practice 2 #1-5
Show all work.
Slide 9
Wednesday:
The width (w) of a swimming pool must be 10 feet,
but the length (l ) can change. What happens to
the perimeter of the pool as the length changes?
A. As l increases by 1 ft, P increases by 1 ft.
B. As l decreases by 1 ft, P increases by 1 ft.
C. As l increases by 1 ft, P increases by 2 ft.
D. As l decreases by 1 ft, P increases by 2 ft.
Daily Word Problems
October 14 - 18
2. Using Rates in Equations
During the summer, Howard makes
$8.50 per hour working for his
uncle’s construction business. Write
an equation that could be used to find
the number of hours, x, that Howard
must work to earn $510.
ON TARGET
Review
SOLVING LINEAR INEQUALITIES
GUIDED PRACTICE
Graph the inequality.
1. x > – 5
The solutions are all real numbers greater than 5.
An open dot is used in the graph to indicate – 5 is
not a solution.
GUIDED PRACTICE
Graph the inequality.
2. x ≤ 3
The solutions are all real numbers less than or
equal to 3.
A closed dot is used in the graph to indicate 2 is a
solution.
EXAMPLE
2
Solve an inequality with a variable on both sides
GUIDED PRACTICE
3. Solve 5x + 2 > 7x – 4. Then graph the solution.
5x + 2 > 7x – 4
– 2x + 2 > – 4
– 2x > – 6
x<3
Write original inequality.
Subtract 7x from each side.
Subtract 2 from each side.
Divide each side by – 2 and reverse the
inequality.
ANSWER
The solutions are all real numbers less than 3. The
graph is shown below.
Extra Examples
Solve the inequality. Then graph the solution.
4. 5x – 7 ≤ 6x
5x – 7 ≤ 6x
x>–7
Write original inequality.
Subtract 5x from each side.
5. 3 – x > x – 9
3–x>x–9
3 – 2x > – 9
– 2x > – 12
x<6
Write original inequality.
Subtract x from each side.
Subtract 3 from each side.
Divide each side by –2 and reverse.
Inequalities
Overview of Handout
Highlighter Recommendations
Page 138 – Negative Number Rule
Page 140 –Variable on the Right
Page 142 – Open circle vs. Closed
Circle
Example 3 page 143
Which solutions of the
following inequalities are
represented by the graph?
Must solve each inequality to
answer question.
For an accuracy grade
Page 144 Practice 1 #1-2
Page 144 Practice 2 #1-5
Show all work.
Slide 10
Wednesday:
The width (w) of a swimming pool must be 10 feet,
but the length (l ) can change. What happens to
the perimeter of the pool as the length changes?
A. As l increases by 1 ft, P increases by 1 ft.
B. As l decreases by 1 ft, P increases by 1 ft.
C. As l increases by 1 ft, P increases by 2 ft.
D. As l decreases by 1 ft, P increases by 2 ft.
Daily Word Problems
October 14 - 18
2. Using Rates in Equations
During the summer, Howard makes
$8.50 per hour working for his
uncle’s construction business. Write
an equation that could be used to find
the number of hours, x, that Howard
must work to earn $510.
ON TARGET
Review
SOLVING LINEAR INEQUALITIES
GUIDED PRACTICE
Graph the inequality.
1. x > – 5
The solutions are all real numbers greater than 5.
An open dot is used in the graph to indicate – 5 is
not a solution.
GUIDED PRACTICE
Graph the inequality.
2. x ≤ 3
The solutions are all real numbers less than or
equal to 3.
A closed dot is used in the graph to indicate 2 is a
solution.
EXAMPLE
2
Solve an inequality with a variable on both sides
GUIDED PRACTICE
3. Solve 5x + 2 > 7x – 4. Then graph the solution.
5x + 2 > 7x – 4
– 2x + 2 > – 4
– 2x > – 6
x<3
Write original inequality.
Subtract 7x from each side.
Subtract 2 from each side.
Divide each side by – 2 and reverse the
inequality.
ANSWER
The solutions are all real numbers less than 3. The
graph is shown below.
Extra Examples
Solve the inequality. Then graph the solution.
4. 5x – 7 ≤ 6x
5x – 7 ≤ 6x
x>–7
Write original inequality.
Subtract 5x from each side.
5. 3 – x > x – 9
3–x>x–9
3 – 2x > – 9
– 2x > – 12
x<6
Write original inequality.
Subtract x from each side.
Subtract 3 from each side.
Divide each side by –2 and reverse.
Inequalities
Overview of Handout
Highlighter Recommendations
Page 138 – Negative Number Rule
Page 140 –Variable on the Right
Page 142 – Open circle vs. Closed
Circle
Example 3 page 143
Which solutions of the
following inequalities are
represented by the graph?
Must solve each inequality to
answer question.
For an accuracy grade
Page 144 Practice 1 #1-2
Page 144 Practice 2 #1-5
Show all work.
Slide 11
Wednesday:
The width (w) of a swimming pool must be 10 feet,
but the length (l ) can change. What happens to
the perimeter of the pool as the length changes?
A. As l increases by 1 ft, P increases by 1 ft.
B. As l decreases by 1 ft, P increases by 1 ft.
C. As l increases by 1 ft, P increases by 2 ft.
D. As l decreases by 1 ft, P increases by 2 ft.
Daily Word Problems
October 14 - 18
2. Using Rates in Equations
During the summer, Howard makes
$8.50 per hour working for his
uncle’s construction business. Write
an equation that could be used to find
the number of hours, x, that Howard
must work to earn $510.
ON TARGET
Review
SOLVING LINEAR INEQUALITIES
GUIDED PRACTICE
Graph the inequality.
1. x > – 5
The solutions are all real numbers greater than 5.
An open dot is used in the graph to indicate – 5 is
not a solution.
GUIDED PRACTICE
Graph the inequality.
2. x ≤ 3
The solutions are all real numbers less than or
equal to 3.
A closed dot is used in the graph to indicate 2 is a
solution.
EXAMPLE
2
Solve an inequality with a variable on both sides
GUIDED PRACTICE
3. Solve 5x + 2 > 7x – 4. Then graph the solution.
5x + 2 > 7x – 4
– 2x + 2 > – 4
– 2x > – 6
x<3
Write original inequality.
Subtract 7x from each side.
Subtract 2 from each side.
Divide each side by – 2 and reverse the
inequality.
ANSWER
The solutions are all real numbers less than 3. The
graph is shown below.
Extra Examples
Solve the inequality. Then graph the solution.
4. 5x – 7 ≤ 6x
5x – 7 ≤ 6x
x>–7
Write original inequality.
Subtract 5x from each side.
5. 3 – x > x – 9
3–x>x–9
3 – 2x > – 9
– 2x > – 12
x<6
Write original inequality.
Subtract x from each side.
Subtract 3 from each side.
Divide each side by –2 and reverse.
Inequalities
Overview of Handout
Highlighter Recommendations
Page 138 – Negative Number Rule
Page 140 –Variable on the Right
Page 142 – Open circle vs. Closed
Circle
Example 3 page 143
Which solutions of the
following inequalities are
represented by the graph?
Must solve each inequality to
answer question.
For an accuracy grade
Page 144 Practice 1 #1-2
Page 144 Practice 2 #1-5
Show all work.
Slide 12
Wednesday:
The width (w) of a swimming pool must be 10 feet,
but the length (l ) can change. What happens to
the perimeter of the pool as the length changes?
A. As l increases by 1 ft, P increases by 1 ft.
B. As l decreases by 1 ft, P increases by 1 ft.
C. As l increases by 1 ft, P increases by 2 ft.
D. As l decreases by 1 ft, P increases by 2 ft.
Daily Word Problems
October 14 - 18
2. Using Rates in Equations
During the summer, Howard makes
$8.50 per hour working for his
uncle’s construction business. Write
an equation that could be used to find
the number of hours, x, that Howard
must work to earn $510.
ON TARGET
Review
SOLVING LINEAR INEQUALITIES
GUIDED PRACTICE
Graph the inequality.
1. x > – 5
The solutions are all real numbers greater than 5.
An open dot is used in the graph to indicate – 5 is
not a solution.
GUIDED PRACTICE
Graph the inequality.
2. x ≤ 3
The solutions are all real numbers less than or
equal to 3.
A closed dot is used in the graph to indicate 2 is a
solution.
EXAMPLE
2
Solve an inequality with a variable on both sides
GUIDED PRACTICE
3. Solve 5x + 2 > 7x – 4. Then graph the solution.
5x + 2 > 7x – 4
– 2x + 2 > – 4
– 2x > – 6
x<3
Write original inequality.
Subtract 7x from each side.
Subtract 2 from each side.
Divide each side by – 2 and reverse the
inequality.
ANSWER
The solutions are all real numbers less than 3. The
graph is shown below.
Extra Examples
Solve the inequality. Then graph the solution.
4. 5x – 7 ≤ 6x
5x – 7 ≤ 6x
x>–7
Write original inequality.
Subtract 5x from each side.
5. 3 – x > x – 9
3–x>x–9
3 – 2x > – 9
– 2x > – 12
x<6
Write original inequality.
Subtract x from each side.
Subtract 3 from each side.
Divide each side by –2 and reverse.
Inequalities
Overview of Handout
Highlighter Recommendations
Page 138 – Negative Number Rule
Page 140 –Variable on the Right
Page 142 – Open circle vs. Closed
Circle
Example 3 page 143
Which solutions of the
following inequalities are
represented by the graph?
Must solve each inequality to
answer question.
For an accuracy grade
Page 144 Practice 1 #1-2
Page 144 Practice 2 #1-5
Show all work.
Wednesday:
The width (w) of a swimming pool must be 10 feet,
but the length (l ) can change. What happens to
the perimeter of the pool as the length changes?
A. As l increases by 1 ft, P increases by 1 ft.
B. As l decreases by 1 ft, P increases by 1 ft.
C. As l increases by 1 ft, P increases by 2 ft.
D. As l decreases by 1 ft, P increases by 2 ft.
Daily Word Problems
October 14 - 18
2. Using Rates in Equations
During the summer, Howard makes
$8.50 per hour working for his
uncle’s construction business. Write
an equation that could be used to find
the number of hours, x, that Howard
must work to earn $510.
ON TARGET
Review
SOLVING LINEAR INEQUALITIES
GUIDED PRACTICE
Graph the inequality.
1. x > – 5
The solutions are all real numbers greater than 5.
An open dot is used in the graph to indicate – 5 is
not a solution.
GUIDED PRACTICE
Graph the inequality.
2. x ≤ 3
The solutions are all real numbers less than or
equal to 3.
A closed dot is used in the graph to indicate 2 is a
solution.
EXAMPLE
2
Solve an inequality with a variable on both sides
GUIDED PRACTICE
3. Solve 5x + 2 > 7x – 4. Then graph the solution.
5x + 2 > 7x – 4
– 2x + 2 > – 4
– 2x > – 6
x<3
Write original inequality.
Subtract 7x from each side.
Subtract 2 from each side.
Divide each side by – 2 and reverse the
inequality.
ANSWER
The solutions are all real numbers less than 3. The
graph is shown below.
Extra Examples
Solve the inequality. Then graph the solution.
4. 5x – 7 ≤ 6x
5x – 7 ≤ 6x
x>–7
Write original inequality.
Subtract 5x from each side.
5. 3 – x > x – 9
3–x>x–9
3 – 2x > – 9
– 2x > – 12
x<6
Write original inequality.
Subtract x from each side.
Subtract 3 from each side.
Divide each side by –2 and reverse.
Inequalities
Overview of Handout
Highlighter Recommendations
Page 138 – Negative Number Rule
Page 140 –Variable on the Right
Page 142 – Open circle vs. Closed
Circle
Example 3 page 143
Which solutions of the
following inequalities are
represented by the graph?
Must solve each inequality to
answer question.
For an accuracy grade
Page 144 Practice 1 #1-2
Page 144 Practice 2 #1-5
Show all work.
Slide 2
Wednesday:
The width (w) of a swimming pool must be 10 feet,
but the length (l ) can change. What happens to
the perimeter of the pool as the length changes?
A. As l increases by 1 ft, P increases by 1 ft.
B. As l decreases by 1 ft, P increases by 1 ft.
C. As l increases by 1 ft, P increases by 2 ft.
D. As l decreases by 1 ft, P increases by 2 ft.
Daily Word Problems
October 14 - 18
2. Using Rates in Equations
During the summer, Howard makes
$8.50 per hour working for his
uncle’s construction business. Write
an equation that could be used to find
the number of hours, x, that Howard
must work to earn $510.
ON TARGET
Review
SOLVING LINEAR INEQUALITIES
GUIDED PRACTICE
Graph the inequality.
1. x > – 5
The solutions are all real numbers greater than 5.
An open dot is used in the graph to indicate – 5 is
not a solution.
GUIDED PRACTICE
Graph the inequality.
2. x ≤ 3
The solutions are all real numbers less than or
equal to 3.
A closed dot is used in the graph to indicate 2 is a
solution.
EXAMPLE
2
Solve an inequality with a variable on both sides
GUIDED PRACTICE
3. Solve 5x + 2 > 7x – 4. Then graph the solution.
5x + 2 > 7x – 4
– 2x + 2 > – 4
– 2x > – 6
x<3
Write original inequality.
Subtract 7x from each side.
Subtract 2 from each side.
Divide each side by – 2 and reverse the
inequality.
ANSWER
The solutions are all real numbers less than 3. The
graph is shown below.
Extra Examples
Solve the inequality. Then graph the solution.
4. 5x – 7 ≤ 6x
5x – 7 ≤ 6x
x>–7
Write original inequality.
Subtract 5x from each side.
5. 3 – x > x – 9
3–x>x–9
3 – 2x > – 9
– 2x > – 12
x<6
Write original inequality.
Subtract x from each side.
Subtract 3 from each side.
Divide each side by –2 and reverse.
Inequalities
Overview of Handout
Highlighter Recommendations
Page 138 – Negative Number Rule
Page 140 –Variable on the Right
Page 142 – Open circle vs. Closed
Circle
Example 3 page 143
Which solutions of the
following inequalities are
represented by the graph?
Must solve each inequality to
answer question.
For an accuracy grade
Page 144 Practice 1 #1-2
Page 144 Practice 2 #1-5
Show all work.
Slide 3
Wednesday:
The width (w) of a swimming pool must be 10 feet,
but the length (l ) can change. What happens to
the perimeter of the pool as the length changes?
A. As l increases by 1 ft, P increases by 1 ft.
B. As l decreases by 1 ft, P increases by 1 ft.
C. As l increases by 1 ft, P increases by 2 ft.
D. As l decreases by 1 ft, P increases by 2 ft.
Daily Word Problems
October 14 - 18
2. Using Rates in Equations
During the summer, Howard makes
$8.50 per hour working for his
uncle’s construction business. Write
an equation that could be used to find
the number of hours, x, that Howard
must work to earn $510.
ON TARGET
Review
SOLVING LINEAR INEQUALITIES
GUIDED PRACTICE
Graph the inequality.
1. x > – 5
The solutions are all real numbers greater than 5.
An open dot is used in the graph to indicate – 5 is
not a solution.
GUIDED PRACTICE
Graph the inequality.
2. x ≤ 3
The solutions are all real numbers less than or
equal to 3.
A closed dot is used in the graph to indicate 2 is a
solution.
EXAMPLE
2
Solve an inequality with a variable on both sides
GUIDED PRACTICE
3. Solve 5x + 2 > 7x – 4. Then graph the solution.
5x + 2 > 7x – 4
– 2x + 2 > – 4
– 2x > – 6
x<3
Write original inequality.
Subtract 7x from each side.
Subtract 2 from each side.
Divide each side by – 2 and reverse the
inequality.
ANSWER
The solutions are all real numbers less than 3. The
graph is shown below.
Extra Examples
Solve the inequality. Then graph the solution.
4. 5x – 7 ≤ 6x
5x – 7 ≤ 6x
x>–7
Write original inequality.
Subtract 5x from each side.
5. 3 – x > x – 9
3–x>x–9
3 – 2x > – 9
– 2x > – 12
x<6
Write original inequality.
Subtract x from each side.
Subtract 3 from each side.
Divide each side by –2 and reverse.
Inequalities
Overview of Handout
Highlighter Recommendations
Page 138 – Negative Number Rule
Page 140 –Variable on the Right
Page 142 – Open circle vs. Closed
Circle
Example 3 page 143
Which solutions of the
following inequalities are
represented by the graph?
Must solve each inequality to
answer question.
For an accuracy grade
Page 144 Practice 1 #1-2
Page 144 Practice 2 #1-5
Show all work.
Slide 4
Wednesday:
The width (w) of a swimming pool must be 10 feet,
but the length (l ) can change. What happens to
the perimeter of the pool as the length changes?
A. As l increases by 1 ft, P increases by 1 ft.
B. As l decreases by 1 ft, P increases by 1 ft.
C. As l increases by 1 ft, P increases by 2 ft.
D. As l decreases by 1 ft, P increases by 2 ft.
Daily Word Problems
October 14 - 18
2. Using Rates in Equations
During the summer, Howard makes
$8.50 per hour working for his
uncle’s construction business. Write
an equation that could be used to find
the number of hours, x, that Howard
must work to earn $510.
ON TARGET
Review
SOLVING LINEAR INEQUALITIES
GUIDED PRACTICE
Graph the inequality.
1. x > – 5
The solutions are all real numbers greater than 5.
An open dot is used in the graph to indicate – 5 is
not a solution.
GUIDED PRACTICE
Graph the inequality.
2. x ≤ 3
The solutions are all real numbers less than or
equal to 3.
A closed dot is used in the graph to indicate 2 is a
solution.
EXAMPLE
2
Solve an inequality with a variable on both sides
GUIDED PRACTICE
3. Solve 5x + 2 > 7x – 4. Then graph the solution.
5x + 2 > 7x – 4
– 2x + 2 > – 4
– 2x > – 6
x<3
Write original inequality.
Subtract 7x from each side.
Subtract 2 from each side.
Divide each side by – 2 and reverse the
inequality.
ANSWER
The solutions are all real numbers less than 3. The
graph is shown below.
Extra Examples
Solve the inequality. Then graph the solution.
4. 5x – 7 ≤ 6x
5x – 7 ≤ 6x
x>–7
Write original inequality.
Subtract 5x from each side.
5. 3 – x > x – 9
3–x>x–9
3 – 2x > – 9
– 2x > – 12
x<6
Write original inequality.
Subtract x from each side.
Subtract 3 from each side.
Divide each side by –2 and reverse.
Inequalities
Overview of Handout
Highlighter Recommendations
Page 138 – Negative Number Rule
Page 140 –Variable on the Right
Page 142 – Open circle vs. Closed
Circle
Example 3 page 143
Which solutions of the
following inequalities are
represented by the graph?
Must solve each inequality to
answer question.
For an accuracy grade
Page 144 Practice 1 #1-2
Page 144 Practice 2 #1-5
Show all work.
Slide 5
Wednesday:
The width (w) of a swimming pool must be 10 feet,
but the length (l ) can change. What happens to
the perimeter of the pool as the length changes?
A. As l increases by 1 ft, P increases by 1 ft.
B. As l decreases by 1 ft, P increases by 1 ft.
C. As l increases by 1 ft, P increases by 2 ft.
D. As l decreases by 1 ft, P increases by 2 ft.
Daily Word Problems
October 14 - 18
2. Using Rates in Equations
During the summer, Howard makes
$8.50 per hour working for his
uncle’s construction business. Write
an equation that could be used to find
the number of hours, x, that Howard
must work to earn $510.
ON TARGET
Review
SOLVING LINEAR INEQUALITIES
GUIDED PRACTICE
Graph the inequality.
1. x > – 5
The solutions are all real numbers greater than 5.
An open dot is used in the graph to indicate – 5 is
not a solution.
GUIDED PRACTICE
Graph the inequality.
2. x ≤ 3
The solutions are all real numbers less than or
equal to 3.
A closed dot is used in the graph to indicate 2 is a
solution.
EXAMPLE
2
Solve an inequality with a variable on both sides
GUIDED PRACTICE
3. Solve 5x + 2 > 7x – 4. Then graph the solution.
5x + 2 > 7x – 4
– 2x + 2 > – 4
– 2x > – 6
x<3
Write original inequality.
Subtract 7x from each side.
Subtract 2 from each side.
Divide each side by – 2 and reverse the
inequality.
ANSWER
The solutions are all real numbers less than 3. The
graph is shown below.
Extra Examples
Solve the inequality. Then graph the solution.
4. 5x – 7 ≤ 6x
5x – 7 ≤ 6x
x>–7
Write original inequality.
Subtract 5x from each side.
5. 3 – x > x – 9
3–x>x–9
3 – 2x > – 9
– 2x > – 12
x<6
Write original inequality.
Subtract x from each side.
Subtract 3 from each side.
Divide each side by –2 and reverse.
Inequalities
Overview of Handout
Highlighter Recommendations
Page 138 – Negative Number Rule
Page 140 –Variable on the Right
Page 142 – Open circle vs. Closed
Circle
Example 3 page 143
Which solutions of the
following inequalities are
represented by the graph?
Must solve each inequality to
answer question.
For an accuracy grade
Page 144 Practice 1 #1-2
Page 144 Practice 2 #1-5
Show all work.
Slide 6
Wednesday:
The width (w) of a swimming pool must be 10 feet,
but the length (l ) can change. What happens to
the perimeter of the pool as the length changes?
A. As l increases by 1 ft, P increases by 1 ft.
B. As l decreases by 1 ft, P increases by 1 ft.
C. As l increases by 1 ft, P increases by 2 ft.
D. As l decreases by 1 ft, P increases by 2 ft.
Daily Word Problems
October 14 - 18
2. Using Rates in Equations
During the summer, Howard makes
$8.50 per hour working for his
uncle’s construction business. Write
an equation that could be used to find
the number of hours, x, that Howard
must work to earn $510.
ON TARGET
Review
SOLVING LINEAR INEQUALITIES
GUIDED PRACTICE
Graph the inequality.
1. x > – 5
The solutions are all real numbers greater than 5.
An open dot is used in the graph to indicate – 5 is
not a solution.
GUIDED PRACTICE
Graph the inequality.
2. x ≤ 3
The solutions are all real numbers less than or
equal to 3.
A closed dot is used in the graph to indicate 2 is a
solution.
EXAMPLE
2
Solve an inequality with a variable on both sides
GUIDED PRACTICE
3. Solve 5x + 2 > 7x – 4. Then graph the solution.
5x + 2 > 7x – 4
– 2x + 2 > – 4
– 2x > – 6
x<3
Write original inequality.
Subtract 7x from each side.
Subtract 2 from each side.
Divide each side by – 2 and reverse the
inequality.
ANSWER
The solutions are all real numbers less than 3. The
graph is shown below.
Extra Examples
Solve the inequality. Then graph the solution.
4. 5x – 7 ≤ 6x
5x – 7 ≤ 6x
x>–7
Write original inequality.
Subtract 5x from each side.
5. 3 – x > x – 9
3–x>x–9
3 – 2x > – 9
– 2x > – 12
x<6
Write original inequality.
Subtract x from each side.
Subtract 3 from each side.
Divide each side by –2 and reverse.
Inequalities
Overview of Handout
Highlighter Recommendations
Page 138 – Negative Number Rule
Page 140 –Variable on the Right
Page 142 – Open circle vs. Closed
Circle
Example 3 page 143
Which solutions of the
following inequalities are
represented by the graph?
Must solve each inequality to
answer question.
For an accuracy grade
Page 144 Practice 1 #1-2
Page 144 Practice 2 #1-5
Show all work.
Slide 7
Wednesday:
The width (w) of a swimming pool must be 10 feet,
but the length (l ) can change. What happens to
the perimeter of the pool as the length changes?
A. As l increases by 1 ft, P increases by 1 ft.
B. As l decreases by 1 ft, P increases by 1 ft.
C. As l increases by 1 ft, P increases by 2 ft.
D. As l decreases by 1 ft, P increases by 2 ft.
Daily Word Problems
October 14 - 18
2. Using Rates in Equations
During the summer, Howard makes
$8.50 per hour working for his
uncle’s construction business. Write
an equation that could be used to find
the number of hours, x, that Howard
must work to earn $510.
ON TARGET
Review
SOLVING LINEAR INEQUALITIES
GUIDED PRACTICE
Graph the inequality.
1. x > – 5
The solutions are all real numbers greater than 5.
An open dot is used in the graph to indicate – 5 is
not a solution.
GUIDED PRACTICE
Graph the inequality.
2. x ≤ 3
The solutions are all real numbers less than or
equal to 3.
A closed dot is used in the graph to indicate 2 is a
solution.
EXAMPLE
2
Solve an inequality with a variable on both sides
GUIDED PRACTICE
3. Solve 5x + 2 > 7x – 4. Then graph the solution.
5x + 2 > 7x – 4
– 2x + 2 > – 4
– 2x > – 6
x<3
Write original inequality.
Subtract 7x from each side.
Subtract 2 from each side.
Divide each side by – 2 and reverse the
inequality.
ANSWER
The solutions are all real numbers less than 3. The
graph is shown below.
Extra Examples
Solve the inequality. Then graph the solution.
4. 5x – 7 ≤ 6x
5x – 7 ≤ 6x
x>–7
Write original inequality.
Subtract 5x from each side.
5. 3 – x > x – 9
3–x>x–9
3 – 2x > – 9
– 2x > – 12
x<6
Write original inequality.
Subtract x from each side.
Subtract 3 from each side.
Divide each side by –2 and reverse.
Inequalities
Overview of Handout
Highlighter Recommendations
Page 138 – Negative Number Rule
Page 140 –Variable on the Right
Page 142 – Open circle vs. Closed
Circle
Example 3 page 143
Which solutions of the
following inequalities are
represented by the graph?
Must solve each inequality to
answer question.
For an accuracy grade
Page 144 Practice 1 #1-2
Page 144 Practice 2 #1-5
Show all work.
Slide 8
Wednesday:
The width (w) of a swimming pool must be 10 feet,
but the length (l ) can change. What happens to
the perimeter of the pool as the length changes?
A. As l increases by 1 ft, P increases by 1 ft.
B. As l decreases by 1 ft, P increases by 1 ft.
C. As l increases by 1 ft, P increases by 2 ft.
D. As l decreases by 1 ft, P increases by 2 ft.
Daily Word Problems
October 14 - 18
2. Using Rates in Equations
During the summer, Howard makes
$8.50 per hour working for his
uncle’s construction business. Write
an equation that could be used to find
the number of hours, x, that Howard
must work to earn $510.
ON TARGET
Review
SOLVING LINEAR INEQUALITIES
GUIDED PRACTICE
Graph the inequality.
1. x > – 5
The solutions are all real numbers greater than 5.
An open dot is used in the graph to indicate – 5 is
not a solution.
GUIDED PRACTICE
Graph the inequality.
2. x ≤ 3
The solutions are all real numbers less than or
equal to 3.
A closed dot is used in the graph to indicate 2 is a
solution.
EXAMPLE
2
Solve an inequality with a variable on both sides
GUIDED PRACTICE
3. Solve 5x + 2 > 7x – 4. Then graph the solution.
5x + 2 > 7x – 4
– 2x + 2 > – 4
– 2x > – 6
x<3
Write original inequality.
Subtract 7x from each side.
Subtract 2 from each side.
Divide each side by – 2 and reverse the
inequality.
ANSWER
The solutions are all real numbers less than 3. The
graph is shown below.
Extra Examples
Solve the inequality. Then graph the solution.
4. 5x – 7 ≤ 6x
5x – 7 ≤ 6x
x>–7
Write original inequality.
Subtract 5x from each side.
5. 3 – x > x – 9
3–x>x–9
3 – 2x > – 9
– 2x > – 12
x<6
Write original inequality.
Subtract x from each side.
Subtract 3 from each side.
Divide each side by –2 and reverse.
Inequalities
Overview of Handout
Highlighter Recommendations
Page 138 – Negative Number Rule
Page 140 –Variable on the Right
Page 142 – Open circle vs. Closed
Circle
Example 3 page 143
Which solutions of the
following inequalities are
represented by the graph?
Must solve each inequality to
answer question.
For an accuracy grade
Page 144 Practice 1 #1-2
Page 144 Practice 2 #1-5
Show all work.
Slide 9
Wednesday:
The width (w) of a swimming pool must be 10 feet,
but the length (l ) can change. What happens to
the perimeter of the pool as the length changes?
A. As l increases by 1 ft, P increases by 1 ft.
B. As l decreases by 1 ft, P increases by 1 ft.
C. As l increases by 1 ft, P increases by 2 ft.
D. As l decreases by 1 ft, P increases by 2 ft.
Daily Word Problems
October 14 - 18
2. Using Rates in Equations
During the summer, Howard makes
$8.50 per hour working for his
uncle’s construction business. Write
an equation that could be used to find
the number of hours, x, that Howard
must work to earn $510.
ON TARGET
Review
SOLVING LINEAR INEQUALITIES
GUIDED PRACTICE
Graph the inequality.
1. x > – 5
The solutions are all real numbers greater than 5.
An open dot is used in the graph to indicate – 5 is
not a solution.
GUIDED PRACTICE
Graph the inequality.
2. x ≤ 3
The solutions are all real numbers less than or
equal to 3.
A closed dot is used in the graph to indicate 2 is a
solution.
EXAMPLE
2
Solve an inequality with a variable on both sides
GUIDED PRACTICE
3. Solve 5x + 2 > 7x – 4. Then graph the solution.
5x + 2 > 7x – 4
– 2x + 2 > – 4
– 2x > – 6
x<3
Write original inequality.
Subtract 7x from each side.
Subtract 2 from each side.
Divide each side by – 2 and reverse the
inequality.
ANSWER
The solutions are all real numbers less than 3. The
graph is shown below.
Extra Examples
Solve the inequality. Then graph the solution.
4. 5x – 7 ≤ 6x
5x – 7 ≤ 6x
x>–7
Write original inequality.
Subtract 5x from each side.
5. 3 – x > x – 9
3–x>x–9
3 – 2x > – 9
– 2x > – 12
x<6
Write original inequality.
Subtract x from each side.
Subtract 3 from each side.
Divide each side by –2 and reverse.
Inequalities
Overview of Handout
Highlighter Recommendations
Page 138 – Negative Number Rule
Page 140 –Variable on the Right
Page 142 – Open circle vs. Closed
Circle
Example 3 page 143
Which solutions of the
following inequalities are
represented by the graph?
Must solve each inequality to
answer question.
For an accuracy grade
Page 144 Practice 1 #1-2
Page 144 Practice 2 #1-5
Show all work.
Slide 10
Wednesday:
The width (w) of a swimming pool must be 10 feet,
but the length (l ) can change. What happens to
the perimeter of the pool as the length changes?
A. As l increases by 1 ft, P increases by 1 ft.
B. As l decreases by 1 ft, P increases by 1 ft.
C. As l increases by 1 ft, P increases by 2 ft.
D. As l decreases by 1 ft, P increases by 2 ft.
Daily Word Problems
October 14 - 18
2. Using Rates in Equations
During the summer, Howard makes
$8.50 per hour working for his
uncle’s construction business. Write
an equation that could be used to find
the number of hours, x, that Howard
must work to earn $510.
ON TARGET
Review
SOLVING LINEAR INEQUALITIES
GUIDED PRACTICE
Graph the inequality.
1. x > – 5
The solutions are all real numbers greater than 5.
An open dot is used in the graph to indicate – 5 is
not a solution.
GUIDED PRACTICE
Graph the inequality.
2. x ≤ 3
The solutions are all real numbers less than or
equal to 3.
A closed dot is used in the graph to indicate 2 is a
solution.
EXAMPLE
2
Solve an inequality with a variable on both sides
GUIDED PRACTICE
3. Solve 5x + 2 > 7x – 4. Then graph the solution.
5x + 2 > 7x – 4
– 2x + 2 > – 4
– 2x > – 6
x<3
Write original inequality.
Subtract 7x from each side.
Subtract 2 from each side.
Divide each side by – 2 and reverse the
inequality.
ANSWER
The solutions are all real numbers less than 3. The
graph is shown below.
Extra Examples
Solve the inequality. Then graph the solution.
4. 5x – 7 ≤ 6x
5x – 7 ≤ 6x
x>–7
Write original inequality.
Subtract 5x from each side.
5. 3 – x > x – 9
3–x>x–9
3 – 2x > – 9
– 2x > – 12
x<6
Write original inequality.
Subtract x from each side.
Subtract 3 from each side.
Divide each side by –2 and reverse.
Inequalities
Overview of Handout
Highlighter Recommendations
Page 138 – Negative Number Rule
Page 140 –Variable on the Right
Page 142 – Open circle vs. Closed
Circle
Example 3 page 143
Which solutions of the
following inequalities are
represented by the graph?
Must solve each inequality to
answer question.
For an accuracy grade
Page 144 Practice 1 #1-2
Page 144 Practice 2 #1-5
Show all work.
Slide 11
Wednesday:
The width (w) of a swimming pool must be 10 feet,
but the length (l ) can change. What happens to
the perimeter of the pool as the length changes?
A. As l increases by 1 ft, P increases by 1 ft.
B. As l decreases by 1 ft, P increases by 1 ft.
C. As l increases by 1 ft, P increases by 2 ft.
D. As l decreases by 1 ft, P increases by 2 ft.
Daily Word Problems
October 14 - 18
2. Using Rates in Equations
During the summer, Howard makes
$8.50 per hour working for his
uncle’s construction business. Write
an equation that could be used to find
the number of hours, x, that Howard
must work to earn $510.
ON TARGET
Review
SOLVING LINEAR INEQUALITIES
GUIDED PRACTICE
Graph the inequality.
1. x > – 5
The solutions are all real numbers greater than 5.
An open dot is used in the graph to indicate – 5 is
not a solution.
GUIDED PRACTICE
Graph the inequality.
2. x ≤ 3
The solutions are all real numbers less than or
equal to 3.
A closed dot is used in the graph to indicate 2 is a
solution.
EXAMPLE
2
Solve an inequality with a variable on both sides
GUIDED PRACTICE
3. Solve 5x + 2 > 7x – 4. Then graph the solution.
5x + 2 > 7x – 4
– 2x + 2 > – 4
– 2x > – 6
x<3
Write original inequality.
Subtract 7x from each side.
Subtract 2 from each side.
Divide each side by – 2 and reverse the
inequality.
ANSWER
The solutions are all real numbers less than 3. The
graph is shown below.
Extra Examples
Solve the inequality. Then graph the solution.
4. 5x – 7 ≤ 6x
5x – 7 ≤ 6x
x>–7
Write original inequality.
Subtract 5x from each side.
5. 3 – x > x – 9
3–x>x–9
3 – 2x > – 9
– 2x > – 12
x<6
Write original inequality.
Subtract x from each side.
Subtract 3 from each side.
Divide each side by –2 and reverse.
Inequalities
Overview of Handout
Highlighter Recommendations
Page 138 – Negative Number Rule
Page 140 –Variable on the Right
Page 142 – Open circle vs. Closed
Circle
Example 3 page 143
Which solutions of the
following inequalities are
represented by the graph?
Must solve each inequality to
answer question.
For an accuracy grade
Page 144 Practice 1 #1-2
Page 144 Practice 2 #1-5
Show all work.
Slide 12
Wednesday:
The width (w) of a swimming pool must be 10 feet,
but the length (l ) can change. What happens to
the perimeter of the pool as the length changes?
A. As l increases by 1 ft, P increases by 1 ft.
B. As l decreases by 1 ft, P increases by 1 ft.
C. As l increases by 1 ft, P increases by 2 ft.
D. As l decreases by 1 ft, P increases by 2 ft.
Daily Word Problems
October 14 - 18
2. Using Rates in Equations
During the summer, Howard makes
$8.50 per hour working for his
uncle’s construction business. Write
an equation that could be used to find
the number of hours, x, that Howard
must work to earn $510.
ON TARGET
Review
SOLVING LINEAR INEQUALITIES
GUIDED PRACTICE
Graph the inequality.
1. x > – 5
The solutions are all real numbers greater than 5.
An open dot is used in the graph to indicate – 5 is
not a solution.
GUIDED PRACTICE
Graph the inequality.
2. x ≤ 3
The solutions are all real numbers less than or
equal to 3.
A closed dot is used in the graph to indicate 2 is a
solution.
EXAMPLE
2
Solve an inequality with a variable on both sides
GUIDED PRACTICE
3. Solve 5x + 2 > 7x – 4. Then graph the solution.
5x + 2 > 7x – 4
– 2x + 2 > – 4
– 2x > – 6
x<3
Write original inequality.
Subtract 7x from each side.
Subtract 2 from each side.
Divide each side by – 2 and reverse the
inequality.
ANSWER
The solutions are all real numbers less than 3. The
graph is shown below.
Extra Examples
Solve the inequality. Then graph the solution.
4. 5x – 7 ≤ 6x
5x – 7 ≤ 6x
x>–7
Write original inequality.
Subtract 5x from each side.
5. 3 – x > x – 9
3–x>x–9
3 – 2x > – 9
– 2x > – 12
x<6
Write original inequality.
Subtract x from each side.
Subtract 3 from each side.
Divide each side by –2 and reverse.
Inequalities
Overview of Handout
Highlighter Recommendations
Page 138 – Negative Number Rule
Page 140 –Variable on the Right
Page 142 – Open circle vs. Closed
Circle
Example 3 page 143
Which solutions of the
following inequalities are
represented by the graph?
Must solve each inequality to
answer question.
For an accuracy grade
Page 144 Practice 1 #1-2
Page 144 Practice 2 #1-5
Show all work.