Expressions
Equations/Inequalities
Ratios and Rates
Geometry/Statistics
Toss Up
100
Which expression uses exactly three terms and is equivalent to 6(2 + x + x + y)?
A. 8 + 8x + 7y
B. 12 + 12x + 6y
C. 8 + 6x + 6x + 6y
D. 12 + 6x + 6x + 6y
B. 12 + 12x + 6y
100
An algebraic expression is described below.
two less than the product of x and four
The expression is set equal to 10 to create an equation. What value could replace x in the expression and make the resulting equation true?
A. 3
B. 8
C. 38
D. 48
A. 3
100
Mike buys 4 packs of baseball cards for a total of $8. Each pack contains 10 baseball cards.
How much does Mike pay for each baseball card?
A. $0.05
B. $0.20
C. $3.20
D. $5.00
B. $0.20
100
The heights, rounded to the nearest foot, of the trees in a park are listed below.
23 13 8 52 26 42 48 52
What is the median of the tree heights?
A. 52 feet
B. 34 feet
C. 39 feet
D. 26 feet
B. 34 feet
100
There is a relationship between the number of hours a plumber works and the amount of money he earns. The plumber earns $60 for every 2 hours he works. Which statement about the relationship and the amount of money the plumber earns is true?
A. The number of hours the plumber works is the dependent variable in the relationship, and he earns $270 for 9 hours of work.
B. The number of hours the plumber works is the independent variable in the relationship, and he earns $270 for 9 hours of work.
C. The amount of money the plumber earns is the dependent variable in the relationship, and he earns $540 for 9 hours of work.
D. The amount of money the plumber earns is the independent variable in the relationship, and he earns $540 for 9 hours of work.
B. The number of hours the plumber works is the independent variable in the relationship, and he earns $270 for 9 hours of work.
200
A rock is thrown off a cliff and falls toward a river. The height, in feet, of the rock above the river after t seconds is given by the expression 60 + 32t – 16t2. How many feet above the river is the rock 3 seconds after it is thrown?
A. 12
B. 60
C. 132
D. 300
D. 300
200
Sergei knows the bicycle he wants to buy will cost more than $84.00. He has already saved $26.75 for the bicycle. His aunt has given him $20.00 to use to buy the bicycle. Which inequality describes all of the additional amounts of money (m), in dollars, that Sergei could save to be able to buy the bicycle?
A. m > 37.25
B. m > 46.75
C. m > 57.25
D. m > 84.00
A. m > 37.25
200
All of the coins in Mr. Mateo’s coin collection are either gold or silver. The ratio of the number of gold coins to the number of silver coins in his coin collection is 3:2. What percent of Mr. Mateo’s collection is silver coins?
A. 2%
B. 20%
C. 40%
D. 60%
C. 40%
200
A data set has a median of 25 and an interquartile range of 6. A box-and-whisker plot is created to represent the data set. Which box-and-whisker plot could represent the data set?
A.
B.
C.
D.
D.
200
Peter and Marcia set up chairs in a room for a meeting. Peter sets up 5 rows of chairs with 3 chairs in each row. Marcia sets up 8 rows of chairs with 3 chairs in each row. Which expression could be used to show the total number of chairs Peter and Marcia set up for the meeting?
A. 3(5 + 8)
B. 3(5 + 24)
C. 3(15 + 8)
D. 3(15 + 24)
A. 3(5 + 8)
300
The length of a rectangle is n units. The width, in units, of the rectangle is equal to 4 less than half of n. Which expression can be used to represent the width, in units, of the rectangle?
A.
B.
C.
D.
A.
300
Olivia earned $400 last week. She will spend, at most, 40% of the money she earned and will save the rest. Which inequality represents all the possible amount of money, in dollars, d, Olivia will save?
A. d ≤ 160
B. d ≥ 160
C. d ≤ 240
D. d ≥ 240
D. d ≥ 240
300
Alhan started in 60% of his team’s basketball games this season. He started a total of 12 games. How many games did Alhan’s team play this season?
A. 6
B. 7
C. 18
D. 20
D. 20
300
The line plot below shows the number of letters in each student’s name for the 24 students in a classroom.
Numbers of Letters in Students’ Names
Which statement best describes the data displayed in the line plot?
A. The data are skewed to the left.
B. The data are symmetrical about 6 letters.
C. Most of the data are clustered around 3 to 6 letters.
D. Half of the students have 5 or fewer letters in their name.
C. Most of the data are clustered around 3 to 6 letters.
300
Duncan has 604 marbles and several bags. After putting an equal number of marbles into each bag, he has 16 marbles remaining. How many bags could Duncan have used for the marbles?
A. 21
B. 25
C. 31
D. 37
A. 21
400
Kim has a jar full of p pennies, n nickels, and d dimes. The total value of the coins can be
expressed as 0.01p + 0.05n + 0.1d. Which phrase describes the expression that represents
the total value of the coins?
A. the sum of three sums
B. the sum of three products
C. the product of three sums
D. the product of three products
B. the sum of three products
400
Kylie made 2 identical stacks of blocks. Each block is a rectangular prism, and each stack of blocks is in the shape of a rectangular prism. Each stack is x blocks long, x blocks wide, and 8 blocks high. Kylie used a total of 576 blocks to make the two stacks. The equation below can be used to find the length and width of each stack of blocks.
2(8x2) = 576
How many blocks long is one stack of blocks?
A. 3
B. 6
C. 12
D. 18
B. 6
400
Alex and Payton each have a favorite pancake recipe.
Alex’s recipe uses cups of flour for 5 batches.
Payton’s recipe uses cup of flour more per batch than Alex’s recipe uses per batch.
Which expression can be used to determine the number of cups of flour used to make x batches of Payton’s pancake recipe?
A.
B.
C.
D.
A.
400
The list below shows the number of text messages a teacher sent each day for 7 days.
14 16 18 22 23 23 24
Which expression shows how to determine the mean absolute deviation of the number of text messages the teacher sent?
A. (-8 + -6 + -4 + 0 + 1 + 1 + 2) ÷ 7
B. (-6 + -4 + -2 + 2 + 3 + 3 + 4) ÷ 7
C. (6 + 4 + 2 + 2 + 3 + 3 + 4) ÷ 7
D. (8 + 6 + 4 + 0 + 1 + 1 + 2) ÷ 7
C. (6 + 4 + 2 + 2 + 3 + 3 + 4) ÷ 7
400
The finish times, in seconds, of ten runners in a race are shown below.
12.8 12.6 13.5 13.8 13.7 12.8 13.3 15.8 12.8 14.9
Which statement about the finish times, in seconds, is true?
A. Most of the finish times are higher than the mean.
B. Most of the finish times are clustered around the mode.
C. Most of the finish times are between 12 and 13 seconds.
D. Most of the finish times are clustered around the median.
D. Most of the finish times are clustered around the median.
500
Ashley goes to the store to buy a jacket. The store is having a sale for 30% off the original price of the jackets. Ashley also has a $10-off coupon she will use to buy the jacket. The expression below can be used to find her final price for a jacket with an original price of p dollars.
0.7p – 10
The jacket Ashley decides to buy has an original price of p = $87.99. What is the final price of the jacket Ashley is buying?
A. $51.59
B. $54.59
C. $71.59
D. $84.99
A. $51.59
500
Colin made b baskets in his last basketball game. Each basket was worth 3 points. He
scored a total of 18 points. To represent this, he wrote 3b = 18. What does the solution to
Colin’s equation represent?
A. He made exactly 6 three-point baskets in his last basketball game.
B. He made at least 6 three-point baskets in his last basketball game.
C. He made exactly 15 three-point baskets in his last basketball game.
D. He made at least 15 three-point baskets in his last basketball game.
A. He made exactly 6 three-point baskets in his last basketball game.
500
Mike makes lemonade to sell at the fair. He can sell 64 glasses of lemonade from the 3 full jugs he makes. Each jug is the same size, and each glass contains the same amount of lemonade. Which fraction represents the number of glasses of lemonade Mike sells from each jug?
A.
B.
C.
D.
D.
500
The line plot below shows the daily high temperatures in a city for 20 days.
Which statement about a statistical measure of the daily high temperatures is true?
A. The median temperature is 77°F.
B. The range in temperatures is 15°F.
C. The mode of the temperatures is 84°F.
D. The interquartile range of the temperatures is 13°F.
A. The median temperature is 77°F.
500
Four points are graphed on the number line below.
Which inequality correctly compares numbers that can be represented by the points?
A.
B.
C.
D.
D.