Unit 1: Rational Number Operations
Unit 2: Proportional Relationships
Unit 3: Percents
Unit 4: Equivalent Expressions
Unit 5: Equations and Inequalities
Unit 6: Populations and Samples
Unit 7: Probability
Unit 8: Geometry
100
Toby needs 1 2/3 pounds of clay to make one pot. How many identical pots can he make from 15 pounds of clay?
9 pots
100
The graph below shows Tracy's earnings from babysitting. Does the graph show a proportional relationship? Explain. If so, what is the constant of proportionality?
Yes, the graph is a straight line through the origin.
The constant of proportionality is 7.
100
Antonio works as a salesperson in a store where he earns a 4% commission on his sales. The table below shows the amount of Antonio's sales for five days last week. What was the total amount of Antonio's commission for these five days?
$1,507.20
100
Marcus has x books. Anthony has 1 1/2 times as many books as Marcus. Carmen has 4 books. Write an expression to represent how many books they have altogether.
2.5x + 4
100
Neal wants to spend no more than $16 in the batting cages at the fitness center. The cost of admission is $3.25. Each round in the batting cages costs $1.50. Which inequality can Neal solve to find the number of rounds, n, that he can buy?
C.
3.25+1.50n<=16
100
Brian wants to predict how students will vote in the student council election. Which of the following methods will most likely result in a random sample that he can use to make his prediction?
A. Interview all students in one class
B. Pick every tenth student listed in the school register
C. Interview the first 15 students in the cafeteria line
D. Ask students to send him a message with their vote
B. Pick every tenth student listed in the school register
100
Which of the following represents the least likely event?
A. Spinning an odd number on a spinner with five equal sections labeled 1-5
B. Drawing a yellow marble from a bag containing 5 red, 5 blue, and 10 yellow marbles
C. Getting an even number when tossing a number cube with sides labeled 1, 3, 4, 5, 7, 8
D. Not drawing a blue marble from a bag with 3 blue, 5 yellow, and 7 green marbles
C. Getting an even number when tossing a number cube with sides labeled 1, 3, 4, 5, 7, 8
100
Jayne's garden has the dimensions shown. She draws a scale drawing of the garden using the scale 1 cm = 2ft.
What will be the length of the longest side of the scale drawing?
5.5 cm
200
Colleen's elevation is 6.5 meters at the beginning of a hiking trail. After walking a few minutes, she has descended 12.2 meters. What rational number represents her new elevation?
-5.7 meters
200
Which table represents a relationship that has a constant of proportionality equal to 2/3?
D.
200
John needs to measure his windows, so he can buy new curtains. He measured the height of his windows to be 4 3/4 feet. The actual height is 5 feet. Find the percent error in John's measurement.
5% error
200
Simplify:
3.2a-4.3b-(1.4a-3.9b+1.2)
1.8a-0.4b-1.2
200
Eduardo goes to the fair. He has $45 to spend on admission on rides. Admission is $9. Each ride ticket costs $2.25. What is the maximum number of ride tickets that Eduardo can purchase?
16 ride tickets
200
A quality control inspector at a clothing manufacturer is checking to make sure collars on shirts are sewn correctly. Twenty shirts are randomly chosen and 3 have defective collars. Shirts that are defective are discarded. Based on this sample, how many shirts do you predict are likely to be discarded in a week when 500 shirts are produced?
About 75 shirts will be discarded
200
Kenya tosses a quarter two times. What is the probability that she tosses heads the first time and tails the second time? (Hint: make a list)
1/4
200
Two sides of a triangle have measures of 7 meters and 15 meters. Which measure could be the length of the third side?
A. 6 meters
B. 8 meters
C. 12 meters
D. 22 meters
C. 12 meters
300
Josie is playing a computer game where she earns 5 points each time she answers a question correctly. She loses 0.5 point when she answers a question incorrectly. Josie had a score of 8 points before she answered 9 questions in a row incorrectly. What is Josie's score now?
3.5 points
300
The graph below represents the total cost, t, of buying n items at a market.
Which equation represents the relationship in the graph?
A. t = 15n
B. n = 15t
C. t = n + 15
D. n = t + 15
A. t = 15n
300
A group of friends is eating lunch at a restaurant. The total cost of their meal is $52.50. They have a coupon for $10 off the cost of their meal. A sales tax of 6% is added to the cost after the coupon is applied. What is the total amount that they owe, including tax?
$45.05
300
Which expression shows the following expression factored completely?
16ab-24a
C. 8a(2b - 3)
300
The table below shows the cost of downloading songs from an online music store.
Greg downloaded 5 songs at the regular price and s songs at the sale price. His total cost was $9.42. Write an equation that can be used to find the number of songs Greg downloaded at the sale price.
6.45 + 0.99s = 9.42
300
Which statement about the data sets shown below is most accurate?
D. The variability is about the same for both sets.
300
The diagram below shows the sample space for different ways a customer can buy ice cream at Olivia's Ice Cream Stand.
A customer randomly chooses a cone and randomly chooses a flavor of ice cream. What is the probability that the customer chooses vanilla ice cream in a sugar cone?
1/6
300
In the diagram of a fan below, CA = 9.5 inches. This is the greatest distance from the center to a point on the fan's blade.
What is the distance point A travels in one revolution of the fan's blade? Use 3.14 for pi.
59.66 inches
400
400
The bathroom shower in Celia's house uses 7 gallons of water per minute. If Celia installs a water-saving device, the shower will use only 2 1/2 gallons of water per minute. How many gallons of water will Celia save during a 12-minute shower after the water-saving device is installed?
54 gallons
400
Robert, Carl, and Wei get a restaurant bill for $61.20 and add a 15% tip. If they divide the total bill equally, how much will each person pay?
$23.46
400
Which expression is NOT equivalent to
-1.5(-6m+8n)
D.
-2(-4.5m+4n)
400
Which number line shows the solution set of
-3x-15> -6
B.
400
Some students in grade 7 and grade 8 collected cans for recycling one week. Below are line plots for each group.
Make an inference based off the means of the line plots.
Grade 7 students collected about 3.5 more cans, on average. (23 vs 20.5)
400
Students in Mrs. Enrique's class may earn "class bucks" for excellent work. Students spin the spinner below to determine their reward.
Which two theoretical probabilities are equal?
A. the probability of earning $5 in class bucks and the probability of earning $20 in class bucks
B. the probability of earning more than $5 in class bucks and the probability of earning less than $5 in class bucks
C. the probability of earning $10 in class bucks and the probability of earning $1 in class bucks
D. the probability of earning more than $10 in class bucks and the probability of earning $10 in class bucks
B. the probability of earning more than $5 in class bucks and the probability of earning less than $5 in class bucks
400
A company plans to wrap cheese in the shape of a triangular prism like the one shown below.
108 in^2
500
WITHOUT A CALCULATOR: Divide
1 5/6 divide 3/4
2 4/9
500
Anita says that two of the four points below represent points of the same proportional relationship.
(5, 9), (8, 12), (10, 15), (15, 24)
Which two points could represents the same proportional relationship?
(8, 12) and (10, 15)
Constant of proportionality of 1.5
500
Raj wants to buy a game. The following are different prices for the same game. Which price is the lowest?
A. $35 with 6% sales tax
B. $32.50 with no sales tax and $5.60 shipping
C. $42 with 20% off and 7% sales tax after the discount
D. $40.20 with a $5 off coupon and 5% sales tax after the discount
C. $42 with 20% off and 7% sales tax after the discount
500
The length of one side of a triangle measures x units. The other two sides measure 1.8x - 1.2 units each. Which expression represents the perimeters of the triangle?
A. 4.6x - 2.4
500
Barbara is solving the following inequality and each step of her solution is shown below.
4x+5<= -7
In which step does Barbara's first error occur? Explain.
Step 2: You are not supposed to flip the sign when subtracting on both side of the inequality.
500
Harry and Sharlene are doing a traffic survey. They record the speeds of cars passing through two different intersections. Which statement correctly compares the two groups of data?
C. The median speed is higher for Intersection 1, but the variability in speeds is about the same for both intersections.
500
Midori tosses a number cube with the numbers 7-12. She then spins a spinner with four equal sections colored red, yellow, green, and blue. What is the probability that she tosses an even number and spins red? (Hint: draw a tree diagram to represent the sample space)
3/24 = 1/8
500
In the figure below, lines m and n are parallel and are cut by transversals s and t. Lines s, t, and n intersect at the same point.
What is the measure of angle 1?
68 degrees