Integer Operations
What is the value of the expression below?
−2 + (−5)
-7
What is the value of
10 − 8 ÷ 2 + 1?
C
What is the solution of the equation below?
𝑚 − 34.1 = 44.5
78.6
What is the area of a rectangle with length of 5. 82 inches and width of 3.5 inches?
20.37 square inches
What are the missing numbers in the data set? Assume the numbers are in order. ___ , 20, 23, ___ , 27
Mean = 22 Range = 11
16,24
Brad played a game with his sister. In the first round he scored 18 points. In the second round he scored −7 points. What was his overall score after two rounds?
11
What is the value of 8𝑥 + 4 when 𝑥 = −3?
-20
Sixteen less than w is negative three. What is the value of w?
13
What is the area of a triangle that has a height of 4 1/2 inches and base of 6 1/4 inches? Answer in fraction form.
14 1/6 square inches
Which measure of center and spread best represents the following data set? 2, 4, 5, 8, 10, 13, 25
spread -median
spread - IQR
The high temperature on a day was 28º F. The low temperature for the same day was −4º F. What was the difference between the high and the low temperature?
-32
Which of the following expressions can be factored using a GCF of 8? Circle all that apply.
A. −24 + 40 B. 48 + 16
C. 4 − 24𝑥𝑥 D. 56𝑥𝑥 − 8
E. 32 − 72
A,D,E
Which of the following inequalities include 2 in the solution set? Circle all that apply.
A. 4 < 5𝑥 − 1 B. −2𝑥 + 9 > 5
C. −2 ≥ − 3 4 𝑥 D. −𝑥 ≤ 2
E. 7 − 𝑥 > 10
A,D
A rectangular prism has a length of 3.4 inches, a height of 5 inches and a volume of 20.4 cubic inches. What is the width of this prism?
1.2 inches
Karla collected data about the number of hours students spend watching TV each week. She determined the five-number summary to be:
0.5 ~ 4 ~ 6 ~ 7.5 ~ 11
Which of the following statements are true? Circle all that apply.
A. 50% of the people watched between 4 and 7.5 hours of TV.
B. Nobody watched more than 11 hours.
C. 75% of the people watched at least 4 hours of TV. D. The range of the data is 3.5 hours.
E. Half of the people watched more than 6 hours.
F. The mean number of hours watched is 6.
A,B,C,E
Aaron had a pitcher of iced tea. Each time he poured a glass it would go down by 8 ounces. If he poured 6 glasses of iced tea, what integer represents the change in the level of liquid in the pitcher?
-48
Use the Distributive Property to simplify:
3(𝑥 −7)+5
3x-16
Luke bought a total of 6 large pretzels for himself and his friends. He spent a total of $13.50. Let p represent the price of one pretzel.
a. Write an equation using the all of the information given, including the variable.
b. How much does each pretzel cost?
A. 6p=13.50
B. $2.25
A rectangle has an area of 52 square centimeters. The width of the rectangle is 8 centimeters. What is the rectangle’s length?
6.5 cm
Write TRUE or FALSE for each statement based on the data set below.
8, 14, 18, 19, 19, 24 9
a. The mean is 18.5.
b. The range is 24.
c. The mean is 17.
d. The IQR is 5.
e. The median is 19.
A. False
B. False
C. True
D. True
E. False
Which of the following expressions have a value of 15? Circle all that apply.
A. 2 − 17 B. −6 + 21
C. 5 × (−3) D. 12 − (−3)
E. −10 + (−5) F. −45 ÷ (−3)
B,D, F
Which of the following expressions simplify to 5 + 2𝑥? Circle all that apply.
A. 15 + 2𝑥 − 5 B. 𝑥 + 6 + 𝑥 −1
C. 7 + 6𝑥 − 2 − 4 D. 5 + 4𝑥 − 𝑥
E. 3𝑥 + 2𝑥 − 3𝑥 + 5
B,E
Lucy purchased 5 equally-priced shirts for $60. Frank bought 4 shirts. Each of his shirts were $2 more than the price of a shirt Lucy purchased. How much did Frank spend on his entire purchase?
$56
a. Gavin filled a square cube with sand. The cube measured 2 1/2 inches on each side. If the cube was filled to the top, how many cubic inches of sand did Gavin use?
b. Gavin carefully dumped enough sand out of the cube to leave a height of exactly 1 1/4 inches of sand in the cube. What volume of sand was dumped from the cube?
A. 15 5/8 cubic inches
B. 7 13/16 cubic inches
Eva asked ten of her friends how many birthday cards they got for their most recent birthday. The responses were as follows: 3, 2, 1, 0, 3, 4, 2, 1, 0, 1
Find the mean, median and mode of the number of cards received.
Mean = _______
Median = _______
Mode = _______
Mean: 1.7
Median: 1.5
Mode: 1