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```Ratios
Exponents
Geometry/
Probability
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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.
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?
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?
\$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?
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.
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
a and c
QUESTION 2 - 20
• The expression: (33)(3-5) is simplified to: _____
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
4 ∙ 103 breaks
QUESTION 2 - 40
• Simplify:
6.4∙109
1∙10−6
6.4 ∙ 1015
QUESTION 2 - 50
•
5−6
Simplify: −4
5
1
25
QUESTION 3 - 10
• Find the area of the square and four semi-circles below. Leave your
9 cm
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?
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?
105 degrees
QUESTION 3 - 40
What is the volume of the following three-dimensional figure?
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?
2
3
QUESTION 4 - 10
• Simplify: -3(2x-7)
-6x+21
QUESTION 4 - 20
Simplify: 7 𝑥 − 3 − 2(2𝑥 + 7)
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)
-4
QUESTION 4 - 40
5
6
Simplify: (12x-42)
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)
a and d
QUESTION 5 - 10
Solve: −3𝑧 − 14 = 31
z=-15
QUESTION 5 - 20
2
3
• Solve: 𝑥 − 42 = −54
x=-18
QUESTION 5 - 30
• Solve and make a number line to show the solution:
-2x-3<9
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?