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Ratios
Exponents
Geometry/
Probability
10
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Properties
Solve
QUESTION 1 - 10
A graph of a line has coordinates (0,0) and (5,25). Write an
equation of the line using the constant of proportionality.
ANSWER 1 – 10
y=5x
QUESTION 1 - 20
A bucket is a third full. It contains 4 quarts of water. There are 4
cups in a quart. How many cups of water would it take to
completely fill the bucket?
ANSWER 1 – 20
48 cups
QUESTION 1 - 30
• A skirt costs $140 and is on sale for 20% off. What is the sale’s
price of the skirt?
ANSWER 1 – 30
$112
QUESTION 1 - 40
At Lids, an originally priced $25 hat is on sale for 30% off. At
Kohl’s, the same hat originally costs $30 and is on sale for 35%
off.
Which store will the hat be the better deal?
How much less would you pay?
ANSWER 1 – 40
Lids would have the better deal by $2.
QUESTION 1 - 50
Given the graph below, write an equation for the line using the
constant of proportionality.
ANSWER 1 – 50
y=3x
QUESTION 2 - 10
• The expression: 7-3 can be written in which of the following:
a.)
1
343
b.)
-343
c.)
1
73
ANSWER 2 – 10
a and c
QUESTION 2 - 20
• The expression: (33)(3-5) is simplified to: _____
ANSWER 2 – 20
1
9
QUESTION 2 - 30
• If Julie lives 3.2 ∙ 106 meters away from her friend and she takes
a break every 8 ∙ 102 meters. How many breaks does Julie end
up taking? Write your answer in scientific notation.
ANSWER 2 – 30
4 ∙ 103 breaks
QUESTION 2 - 40
• Simplify:
6.4∙109
1∙10−6
ANSWER 2 – 40
6.4 ∙ 1015
QUESTION 2 - 50
•
5−6
Simplify: −4
5
ANSWER 2 – 50
1
25
QUESTION 3 - 10
• Find the area of the square and four semi-circles below. Leave your
answer in terms of pi.
9 cm
ANSWER 3 – 10
81
𝜋
4
+ 81 or 20.25𝜋 + 81
QUESTION 3 - 20
• The height of the door to Connor’s house is 6.75 feet. The
height of the door in a drawing he drew is 2.5 inches. If the
width of the door in the drawing is 3.375 feet. What is the width
of the door in Connor’s drawing?
ANSWER 3 – 20
1.25 inches
QUESTION 3 - 30
Given three angles on a line. If one measures 3x, the second
measures 3x-15, and the third measures 4x+45. What is the angle
measure of the largest angle?
ANSWER 3 – 30
105 degrees
QUESTION 3 - 40
What is the volume of the following three-dimensional figure?
ANSWER 3 – 40
672 square meters
QUESTION 3 - 50
A set contains the numbers: 3, 4, 7, 8. Two different numbers are
selected randomly from the set (without replacement). What is
the probability that the sum is odd?
ANSWER 3 – 50
2
3
QUESTION 4 - 10
• Simplify: -3(2x-7)
ANSWER 4 – 10
-6x+21
QUESTION 4 - 20
Simplify: 7 𝑥 − 3 − 2(2𝑥 + 7)
ANSWER 4 – 20
3x-35
QUESTION 4 - 30
What is m in the following expression in order for the simplified
expression to be
3
𝑥
4
− 3?
3
(𝑥
4
+ m)
ANSWER 4 – 30
-4
QUESTION 4 - 40
5
6
Simplify: (12x-42)
ANSWER 4 – 40
10x-35
QUESTION 4 - 50
• Michael simplifies an expression and gets 6x+18 as his answer.
Which of the following could be the expression he had
initially?
a.)
3(2x+18)
b.)
-2(-3x+9)
c.)
6(x+18)
d.)
−1
(−12𝑥
2
−36)
ANSWER 4 – 50
a and d
QUESTION 5 - 10
Solve: −3𝑧 − 14 = 31
ANSWER 5 – 10
z=-15
QUESTION 5 - 20
2
3
• Solve: 𝑥 − 42 = −54
ANSWER 5 – 20
x=-18
QUESTION 5 - 30
• Solve and make a number line to show the solution:
-2x-3<9
ANSWER 5 – 30
x>-6
QUESTION 5 - 40
Write and solve an equation.
Heather has $15 and earns $2.25 each week. How many weeks
will it take her to have $35.25?
ANSWER 5 – 40
It will take Heather 9 weeks to have $35.25.
QUESTION 5 - 50
Write and solve an inequality. Make a number line.
Three less than twice a number is at least nine.
ANSWER 5 – 50
x>6