The Number System
Which expression is equivalent to ππ β ππ?
A. 10 + (β16)
B. 10 β (β16)
C. β10 + 16
D. β10 β (β16)
A. 10 + ( -16)
Which scenario can be represented by a ratio of
π: π?
A. the ratio of coffee cups to total cups if there are 4 coffee cups and 5 juice cups
B. the ratio of fiction books to nonfiction books if there are 4 fiction books and 5 nonfiction books
C. the ratio of forks to total utensils if there are 4 forks and 5 spoons
D. the ratio of red jerseys to yellow jerseys if there are 4 yellow jerseys and 5 red jerseys
B. the ratio of fiction books to nonfiction books if there are 4 fiction books and 5 nonfiction books
Which expression is equivalent to 1/4 x 1/4?
A. (1/8)2
B. ( 1/4)2
C. 1/4 + 1/4
D. (1/4) x 2
B. (1/4)2
A student draws three vertices of a square on the coordinate plane. The three vertices are
X(βππ, βπ), Y(βππ, π), and Z(βπ, βπ).
Which coordinate pair could be the fourth vertex of the square?
A. (β10, β5)
B. (β4, 5)
C. (4, β5)
D. (10, 1)
B. (β4, 5)
Which question is a statistical question?
A. How many cats does the principal have?
B. How tall are the sixth graders at one school?
C. In what year was a school built?
D. What is the height of the school building?
B. How tall are the sixth graders at one school?
Which expression is equivalent to π + ππ?
A. 16(3 + 8)
B. 16(2 + 8)
C. 2(3 + 8)
D. 2(2 + 8)
C. 2(3 + 8)
A puppy weighs ππ pounds. How many ounces does the puppy weigh?
(Note: π pound = ππ ounces.)
A. 224 ounces
B. 156 ounces
C. 30 ounces
D. 16 ounces
A. 224 ounces
What is the value of the expression
(π + π)π Γ· (ππ β π)?
9
What is the area of rectangle PQRS with vertices at P(0, 2), Q(0, 10), R(4, 10), and S(4, 2)?
A. 12 square units
B. 24 square units
C. 32 square units
D. 40 square units
C. 32 square units
A data set is symmetrical and contains no extreme data points. Which statement about the data set is true?
A. The mean is the best statistical measure to represent the center of the data because the data is not skewed.
B. The mean is the best statistical measure to represent the center of the data because the data is skewed.
C. The median is the best statistical measure to represent the center of the data because the data is not skewed.
D. The median is the best statistical measure to represent the center of the data because the data is skewed.
A. The mean is the best statistical measure to represent the center of the data because the data is not skewed.
What is the sum of ππ.ππ + π.ππ?
A. 47.9
B. 43.18
C. 43.01
D. 42.99
D. 42.99
If the ratio of paint projects to pottery projects at a craft fair is ππ to π, which statement is true?
A. For every 6 paint projects at the craft fair, there are 11 pottery projects.
B. For every 6 paint projects at the craft fair, there are 17 pottery projects.
C. For every 11 paint projects at the craft fair, there are 6 pottery projects.
D. For every 11 paint projects at the craft fair, there are 17 pottery projects.
C. For every 11 paint projects at the craft fair, there are 6 pottery projects.
A packaging manufacturer uses the expression ππ to model the volume of a box, in cubic feet, that is a cube. If π = π, what is the value of the expression?
8
A right rectangular prism has a height of 2 1/2 inches, a width of 3 1/2 inches, and a length of 5 1/4 inches. What is the volume of the prism?
A. 60 1/4 inches3
B. 45 15/16 inches3
C.30 1/16 inches3
D.11 1/4 inches3
B. 45 15/16 inches3
A basketball team scored the following numbers of points in its first 6 games: 98, 98, 102, 96, 98, and 97. How many points will the team need to score in the seventh game in order to bring its average number of points per game to 100?
A. 100
B. 101
C. 102
D. 111
D. 111
What is the quotient of
π, πππ Γ· ππ?
56
A restaurant sells beverages in ππ-pint pitchers. If a customer orders a pitcher of lemonade, how many gallons of lemonade does the customer order? (Note: π gallon = π pints.)
A. 0.5 gallon
B. 1 gallon
C. 2 gallons
D. 2.5 gallons
C. 2 gallons
An athlete training for a marathon plans on running π miles per day during the first phase of training. If π represents the number of days, and π represents the total number of miles the athlete runs, which equation correctly represents the relationship?
A. π = π + 6
B. π = π Γ· 6
C. π = 6 Γ π
D. π = 6 Γ· π
C. π = 6 Γ π
Figure WXYZ is a square. Three of the vertices are at X(1, 3), Y(1, -2), and Z( -4, -2).
What is the location of W?
W(-4,3)
This table shows the number of minutes Carol and Anna walked each day for 5 days.
Carol Anna
Monday 60 45
Tuesday 30 35
Wednesday 20 60
Thursday 70 65
Friday 45 30
Which statement is true?
A. Carolβs mean for the number of minutes she walked is equal to her median.
B. Carolβs mean for the number of minutes she walked is greater than Annaβs mean.
C. Annaβs median for the number of minutes she walked is greater than her mean.
D. Annaβs mean for the number of minutes she walked is equal to Carolβs mean.
A. Carolβs mean for the number of minutes she walked is equal to her median.
What is the distance, in units, between the points
(ππ, ππ) and (ππ, ππ) on a coordinate plane?
13 units
A car travels πππ miles in π hours. If the car travels at a constant rate, how many miles does the car travel in π hour?
45 miles
Consider the number set.
ππ, ππ, ππ, ππ
Which value of π in the number set makes the equation π(π + π) β π = ππ true?
A. 10
B. 11
C. 12
D. 13
B. 11
Fred is making a wooden box in the shape of a right rectangular prism. The dimensions of the box are
12 inches by 4 1/4 inches by 4 1/4 inches.
What is the volume of the wooden box?
A. 20 1/2 cubic inches
B. 61 1/2 cubic inches
C. 216 3/4 cubic inches
D. 240 1/8 cubic inches
C. 216 3/4 cubic inches
The table below shows the number of televisions a store sold over a 7- day period.
Day 1 2 3 4 5 6 7
Televisions sold 7 8 10 10 12 14 17
For how many days were the number of televisions sold greater than the median for the 7-day period?
A. 3
B. 4
C. 5
D. 7
A. 3