Transcript No Slide Title

This &
That
Exponents
& Roots
What’s the
Answer?
Solve This
$100 $100 $100 $100
$200
$200 $200 $200
$300 $300 $300
Percents
A Little Bit of
Everything
$100 $100
$200
$200
$300
$300 $300
$400 $400 $400 $400
$400 $400
$500 $500 $500 $500
$500 $500
$100 Question This & That
Explain why | 4 | = | -4 | .
Then show how to solve | -5 + 10 |.
$100 Answer This & That
They are both 4 units away from zero.
-5 + 10 = 5 The absolute value of 5 is 5
$200 Question This & That
Simplify the following expressions:
$200 Answer This & That
A.) 4
B.) -6
$300 Question This & That
Is (-3, 16) is a solution to y = 3x + 25?
Explain or show how you know.
$300 Answer This & That
(-3, 16)
16= 3(-3) + 25
16= -9 + 25
16= 16
Yes, (-3, 16) a solution
$400 Question This & That
Explain what the difference is between
rational and irrational numbers.
Give 3 examples of each type
(Give at least one as a square root).
$400 Answer This & That
A rational number can always be written as
a fraction. The decimals end or repeat.
Examples: any fraction, whole #, integer,
Square roots that have a perfect square
Irrational numbers go on and on without
repeating Example: Pi or square roots that don’t
have a perfect square
$500 Question This & That
Evaluate the expression below.
Show your steps
$500 Answer This & That
$100 Question Exponents & Roots
Write the following problems into
scientific notation:
a.) 3080
b.) 0.000708
$100 Answer Exponents & Roots
A.) 3.08
3
×10
B.) 7.08
-4
×10
$200 Question Exponents & Roots
Multiply.
Leave your answer in scientific notation.
(4.5 x 102) x (3 x 10-4)
$200 Answer Exponents & Roots
To keep the numbers in scientific notation, group
the factors together and the powers of 10 together:
(4.5 x 3) x (102 x 10-4)
Then use the laws of exponents (add the exponents
when bases are the same):
13.5 x 10-2.
This is not in scientific notation, so 1.35 x 10-1
$300 Question Exponents & Roots
Show how to multiply exponents with the same base
x 9 • x8
Show how to divide exponents with the same base
(-9)18
(-9)9
Show how to raise a power to a power?
(32)-4
$300 Answer Exponents & Roots
Multiplying exponents with the same base
x9 • x8 add the exponents
x17
Dividing exponents with the same base
(-9)18 subtract the exponents (-9)9
(-9)9
Raising a power to a power?
(32)-4 multiply the exponents 3-8
$400 Question Exponents & Roots
?
15cm
9 cm
Find the missing side.
$400 Answer Exponents & Roots
Use the Pythagorean Theorem
c = 12 cm
$500 Question Exponents & Roots
For safety reasons, the base of a 24 foot
ladder must be at least 8 feet from the base
of the wall. To the nearest, tenth of a foot,
how high can the 24 foot ladder reach?
$500 Answer Exponents & Roots
24 ft.
? ft
8 ft.
Use the Pythagorean Theorem.
The ladder can safely reach
about 22.6 ft.
$100 Question What’s the
Answer?
Solve:
$100 Answer What’s the
Answer?
$200 Question What’s the
Answer?
Solve:
(-7)(-3.9) =
$200 Answer What’s the
Answer?
27.3
$300 Question What’s the
Answer?
$300 Answer What’s the
Answer?
$400 Question What’s the
Answer?
Solve:
2.1 ÷ 0.07 =
$400 Answer What’s the
Answer?
30
$500 Question What’s the
Answer?
$500 Answer What’s the
Answer?
$100 Question Solve This
Solve for x: 9 = x – (-5)
$100 Solve This
First add the opposite
to simplify the right side:
9 = x + (+5)
Then use the
-5
-5
Subtraction
------------------------
Property of Equality:
4=x
$200 Question Solve This
Solve the equation:
20 – 4x = 40
$200 Answer Solve This
20 – 4x = 40
-20
-20
-4x = 20
-4
-4
x = -5
$300 Question Solve This
Solve and graph the inequality:
-5 + x < 25
$300 Answer Solve This
X < 30
Graph: open to the left
$400 Question Solve This
$400 Answer Solve This
$500 Question Solve This
Jerry borrowed $16,000 to buy a new car.
At the end of 5 years, he had repaid a
total of $22,200. At what simple interest
rate did he borrow the money?
$500 Answer Solve This
22,200 – 16,000 = 6,200 (Int. paid)
I = Prt
6,200 = 16,000 (r) 5
6,200 = 80,000(r)
0.0775 = r, so 7.75%
$100 Question Percents
115 is what percent of 40?
$100 Answer Percents
287.5%
$200 Question Percents
What number is 0.6% of 200?
$200 Answer Percents
1.2
$300 Question Percents
In her shop, Stephanie earns 16% on
all the clothes she sells. This month
she earned $3920. What were her total
sales of clothes?
$300 Answer Percents
16
100
=
3920
total sales
Stephanie’s total sales
were $24,500.
$400 Question Percents
The price of gas in Minnesota on
December 4th, 2014 was $2.66. The
price of gas in Minnesota on
December 4th, 2000 was $1.46.
What is the percent increase in the
price of gasoline?
$400 Answer Percents
1.46 to 2.66
1.2
1.46
About 82.2% increase
$500 Question Percents
The class is holding a dance. The
class made a profit of $382.50,
which was 85% of its revenue.
How much revenue does the class
have?
$500 Answer Percents
The class has $450 of revenue.
$100 Question A Little Bit of Everything
Explain how you know if a table represents a
function or not.
Provide an example of a table that is a function
Provide an example of a table that is not a
function
$100 Answer A Little Bit of Everything
A table is a function if each input
has one output.
Function
Not a Function
x
Y
X
Y
-1
1
1
0
0
0
0
1
1
1
1
2
2
4
2
3
$200 Question A Little Bit of Everything
Explain the difference between continuous
data and discrete data.
Provide an example of each type of data.
$200 Answer A Little Bit of Everything
Continuous data—connected points on graph
Example: Distance over time
Discrete data—don’t connect points
Example: Money made selling pumpkins
$300 Question A Little Bit of Everything
Estimate the square root to the nearest tenth.
No Calculator—Show your work
$300 Answer A Little Bit of Everything
It’s between 7 and 8 because 52 is between
49 and 64. That means it’s 7.___
Distance from
Distance from
to
to
3 ÷ 15 = .2 so
= 3 Make fraction
15 into a decimal
≈ 7.2
$400 Question A Little Bit of Everything
Find the distance between (-2, 3) and (6, -4)
Use the distance formula
Round to the nearest tenth
$400 Answer A Little Bit or Everything
$500 Question A Little Bit of Everything
Write an equation and make a graph for this table:
$500 Answer A Little Bit of Everything
Change in y
Change in x
When x is zero, y is 5, so
y = 2x + 5
Graph: line-crossing (0,5)
Originally:_______
New Price: $3.80
15% decrease
original – orig.(percent decrease = new price
100%x – 15%x = 3.80
115%x = 3.80
1.15x = 3.80
1.15 1.15
x ≈ 4.47