Transcript Tuesday Wednesday Must Do and Practice

Math 8C
U2D3
Learning Targets:
Solve Equations arising from a context.
Solve equations using algebraic manipulation.


Must do:
U2D3
Draw a model and solve: You and your friend
have $29 for movies and snacks this weekend.
You have $7 less than your friend. How much
money do you each have?
Solve: −3 3 − 2𝑥 =
17𝑥+4
3
CHALLENGE!
If eight years from now, Jim’s age will be
thrice the age he was 4 years ago. How
old is he now?
U2D3
Solving Equations
Follow these steps:
Step 1: Simplify both sides of the equation
This means getting rid of parentheses and combining like terms
Step 2: Get all variables to one side of equation
Step 3: Get your variable “alone” using the
reverse of PEMDAS
U2D3
Independent Practice
U2D3 – ICP
Math 8C
U2D4
Learning Targets:
Solve Equations arising from a context.
Solve equations using algebraic manipulation.


U2D4
Warm Up
Do these on your participation page:)
4. Solve 25 = 5 − 𝑑
5. Solve 18 =
72
−𝑦
U2D4
Solving Algebraic Equations (Difficult!)
Some things to remember:
Step 1: Simplify both sides of the equation
This means getting rid of parentheses and combining like terms
Step 2: Get all variables to one side of equation
Step 3: Get your variable “alone”
U2D4
•
Solve for w:
3. 3 𝑤 − 8 = −2(4 − 𝑤)
4. −16 = −2(−2𝑥 + 4)
U2D4
•
Solve for a:
5. 0.7𝑎 = 28
6. 8.7𝑎 = 3.9𝑎 + 16.8
U2D4
•
Solve for r.
7.
7
𝑟
2
−
𝑟
8.
8−𝑟
76
= −1
=1
U2D4
Must Do:
1.
1
𝑥
3
2.
1
𝑥
4
− 2 = −3
2
3
+ =6−
5
− 𝑥
6
1
𝑥
2
+
3
𝑥
4
CHALLENGE!
A father is three times as old as his son. After
15 years the father will be twice as old as his
son’s age at that time. What is the present age
of the father?
Must Do: (Leave answer as improper fraction!)
Solve
1. -4(4-r) = 3
2
3. 5 − 4 𝑏 − 2 =
3
2. 3𝑦 𝑦 − 6 = 3𝑦 − 18𝑦
4.
1
𝑥+2
9−𝑏
2
+3=7
Equations from a Context
(Word Problems)
WORDS THAT MEAN ADDITION
SUM
MORE THAN
PLUS
ADDED TO
INCREASED BY
IN ALL
TOTAL
WORDS THAT MEAN
SUBTRACTION
MINUS
LESS THAN
DECREASED BY
DIFFERENCE BETWEEN
HOW MANY FEWER
WORDS THAT MEAN MULTIPLICATION
TIMES
OF
TWICE
PRODUCT OF
IN EACH
FOR EVERY
WORDS THAT MEAN
DIVISION
QUOTIENT
RATIO OF
HOW MANY TIMES
INTO HOW MANY
HOW MUCH DID EACH
WORDS THAT MEAN
EQUAL
IS
THE SAME AS
EQUIVALENT
U2D4
Write an equation and solve. Draw a model if
necessary.
1. Two more than twice a number is 77. Find the
number.
2.Nine less than one-fourth of a number is 6.
Find the number.
U2D4
Write an equation and solve. Draw a model if
necessary.
The length of a rectangle is 50 meters. This is 6
meters more than twice the width. Find the
width of the rectangle.
JoGrandpa is 75 years old. This is nine years less
than seven times the age of Jo. How old is Jo?
U2D4
You Try!!
Write an equation and solve. Draw a model if
necessary.
JoGrandpa is 75 years old. This is nine years less
than seven times the age of Jo. How old is Jo?
U2D4
Independent Practice
U2D4 – ICP
Math 8C
U2D5
Learning Targets:
 Make sense of problems and persevere in solving
them (draw a picture, show your work).
 Model with mathematics (identifying important
details and quantities, map relationships using
diagrams, tables, graphs, flow charts or equations).
 Formulates a model by creating a representation
that accurately describes relationships between
variables.
 Solve Equations arising from a context (a situation).
 Solve equations using algebraaaahahahaa *cough
*cough using algebra.
U2D5
Quiz today!
It’s Summative
Let’s review a little first:)
U2D5
Draw a model and solve
Jane and John weigh 275 lbs combined.
If John weighs 15 pounds more than Jane,
how much do they each weigh?
U2D5
Draw a model and solve
The sum of five consecutive integers is
1120.
What are the five integers?
U2D5
Solve each equation. Show your steps.
1. 6𝑥 = −48
2. 3 −
2
𝑤
3
=9
3. −6 = −2(6 − 𝑝)
U2D5
Write an equation for the situation and
solve.
Rolex Smudgepot owns 17 ounces of gold.
This is one ounce more than two thirds of
the amount he owned last year. How much
gold did he own last year?
U2D5
Quiz Time!
Clear off your tables.
You may use a calculator, but no notes.