Number System
Equations & Inequalities
Expressions
Probability
Ratios & Percents
100
Point P is shown on the number line below. The distance between point Q and point P is 6 1/2 units. Which number could represent point Q?
2 1/2
100
Mr. Santino needs a total of 406 forks for his restaurant. He currently has 278 forks. If each set has 12 forks, what is the minimum number of sets of forks he should buy?
11 sets
100
The measure of one side of a square is (s+3) inches long. Write two equivalent expressions that represent the perimeter of the square.
4(s+3)
(s+3)+(s+3)+(s+3)+(s+3)
4s+12
100
Leanne collects data throughout the basketball season and uses these data to determine the probabilities of different teams playing in the league championship game. The probabilities for her four favorite teams playing in the championship game are shown below.
Which of these teams is least likely to play in the championship game?
Bulldogs
100
If there are 6 boys and 3 girls, what is the ratio of girls to boys in lowest form?
1:2
200
Which expression has the same value as 59.2 - 84.7?
a. 84.7 - 59.2
B. -84.7 + (-59.2)
C. 59.2 - (-84.7)
D. 59.2 + (-84.7)
D. 59.2 + (-84.7)
200
If the expression -3x has a positive value, which inequality represents all the possible values of x?
A. x<0
B. x>0
C. x less than/equal to 0
D. x greater than/equal to 0
A. x<0
200
Which expression makes the equation true for all values of x
16x - 16 = 4(_______)
A. 4x-4
B. 4x-16
C. 2x-2
D. 12x - 12
A. 4x-4
200
A researcher surveyed five randomly selected employees from each of four different companies about their daily commutes to work. The table shows the commute times for the surveyed employees.
Based on the data, which company most likely has the longest average commute time per employee?
Company 1
200
Which representation shows a proportional relationship? What is the constant of proportionality?
D. COP = 1.5
300
What is the decimal equivalent to 43/12?
3.583333...
300
Ms. Gartland bought x number of shirts for the new members of chorus. The cost for x number of shirts, including $3.99 shipping, was $77.49. Each shirt cost $12.25. There was no sales tax on this purchase. Create and solve an equation to represent this situation.
12.25x + 3.99 = 77.49
300
Which expression is equivalent to
?
A.
-23/2 h + 3/2
300
A passenger train has tickets available for 12 window seats and 8 aisle seats. The next person to buy a ticket will be randomly assigned to one of those seats. What is the probability that the next person will be assigned to an aisle seat?
2/5 or 40%
300
Every five years in March, the population of a certain town is recorded. In 1995, the town had a population of 4,500 people. From 1995 to 2000, the population increased by 15%. From 2000 to 2005, the population decreased by 4%. What was the towns population in 2005?
4,968 people
400
Which statement describes the decimal equivalent of 7/8?
A. It is a decimal with a repeating digit of 5.
B. It is a decimal with repeating digits of 75
C. It is a decimal that terminates after 2 decimal places.
D. It is a decimal that terminates after 3 decimal places.
D. It is a decimal that terminates after 3 decimal places.
400
Winston needs at least 80 signatures from students in his school before he can run for class president. He has 23 signatures already. He and two of his friends plan to get the remaining signatures during lunch. If each person gets the same number of signatures, which inequality can Winston use to determine the minimum number of signatures each person should get? Solve the inequality!
A. 3x + 80 greater than/equal to 23
B. 3x + 80 less than/equal to 23
C. 3x + 23 greater than/equal to 80
D. 3x + 23 less than/equal to 80
C. 3x + 23 greater than/equal to 80
400
A triangle has side lengths of (5.5x + 6.2y) centimeters, (4.3x + 8.3z) centimeters, and (1.6z - 5.1y) centimeters. Create an expression that represents the perimeter, in centimeters, of the triangle.
9.8x + 1.1y + 9.9z
400
A board game has a spinner divided into sections of equal size. Each section is labeled with a number between 1 and 5.
Which number is a reasonable estimate of the number of times the spinner will land on a section labeled 5 over the course of 150 spins?
A. 15
B. 25
C. 40
D. 60
C. 40
400
In the morning, a farm worker packed 3 pints of strawberries every 4 minutes. In the afternoon, she packed 2 pints of strawberries every 3 minutes. What was the difference between her morning and afternoon picking rates, in pints per hour?
5
500
Which expression is equivalent to the expression shown below?
D.
-5 1/4 x - 1/2
500
Yolanda participated in a walkathon in which each kilometer walked raised $10 for charity. Her goal was to raise more than $300 on Saturday and Sunday. She raised $50 on Saturday. Which graph shows all the distances, in kilometers, that Yolanda could have walked on Sunday to reach her goal?
B.
500
An item with an original price of p dollars is on sale at 25% discount. Which expression is not equivalent to the price of the item with the discount?
A. (1.0p-0.25p)
B. (1.0 - 0.25)p
C. 0.75p
D. 0.25p
D. 0.25p
500
At a store, customers are randomly selected to participate in a survey. On Friday, there were 500 customers at the store. Of those, 90 were selected to participate in the survey. On Saturday, the store manager expects 700 customers in the store. If the probability of being selected to participate in the survey on Saturday is the same as it was on Friday, how many customers will be selected to participate i the survey on Saturday?
126 customers
500
Jensen stopped at rest area A along the side of the highway. His map, shown below, has a scale of 1 inch to 35 miles.
Jensen planned to stop at rest area B next. What is the actual distance, in miles, between the two rest areas?
87.5 miles.