Expressions and Equations
Geometry
Number System
Ratios and Proportions
Statistics & Probability
100
Which of the following is the correctly expanded form of the expression: 3(x + 4) - 2(x - 5)?
A) x + 22
B) x + 2
C) x - 2
D) 5x + 2
A) x + 22
100
A scale drawing of a playground has a scale of 1 inch = 5 feet. If the distance between two swings is 3 inches on the drawing, what is the actual distance between the swings?
A) 8 feet
B) 10 feet
C) 15 feet
D) 18 feet
C) 15 feet
100
Which decimal is equal to the fraction 7/8?
a) 0.87
b) 0.875
c) 0.7
d) 0.78
b) 0.875
100
A recipe uses 3/4 cup of sugar for every 1/2 cup of flour. What is the unit rate of sugar to flour, in cups of sugar per cup of flour?
A) 1/4
B) 2/3
C) 1.5
D) 1.25
C) 1.5
100
What is the probability of rolling a 3 or a 4 on a standard six-sided die?
A) 1/6
B) 1/3
C) 2/6
D) 1/2
B) 1/3 or C) 2/6
200
Jessica bought 3 shirts for $18.75 each and a jacket for $45.50. What is the total amount she spent?
A) $56.25
B) $64.25
C) $101.75
D) $102.75
C) $101.75
200
You are given three side lengths: 4 cm, 6 cm, and 11 cm. Can you construct a triangle with these side lengths?
A) Yes, exactly one triangle
B) Yes, more than one triangle
C) No, not possible
D) Yes, but only if one angle is a right angle
C) No, not possible
200
Which of the following numbers, when written as a decimal, will terminate (end)?
A. 2/3
B. 5/8
C. 4/9
D. 7/11
B) 5/8
200
A jacket is originally $60. It is on sale for 20% off. What is the sale price?
A) $12
B) $48
C) $50
D) $52
B) $48
200
When flipping two coins, what is the probability of getting exactly one head?
A) 1/4
B) 1/2
C) 1/3
D) 3/4
B) 1/2
300
The perimeter of a rectangle is 42 cm. Its length is 8 cm. What is its width? (Use the formula: Perimeter = 2 × Length + 2 × Width)
A) 13 cm
B) 11 cm
C) 10 cm
D) 8 cm
A) 13 cm
300
When you slice a right rectangular prism (a box) parallel to its base, what shape is the cross-section?
A) Triangle
B) Rectangle
C) Circle
D) Trapezoid
B) Rectangle
300
Sandy had $15.50 in her account. She spent $8.75 on lunch and then deposited $4.25. How much money does she have now?
A) $10.00
B) $11.00
C) $12.00
D) $15.00
B) $11.00
300
The table below shows the relationship between the number of notebooks (n) and the total cost (t) in dollars.
What is the constant of proportionality (unit rate)?
A) 2
B) 4
C) 6
D) 8
A) 2
300
If a sample is not randomly selected from a population, which of the following is most likely to occur?
A) The sample will be representative
B) The results will be unbiased
C) The results may be biased
D) The sample size does not matter
C) The results may be biased
400
A babysitter charges $20 per night plus $5 per hour. If the babysitter wants to earn at least $50 in one night, which inequality represents the number of hours (h) the babysitter must work?
A) 5h + 20 > 50
B) 5h + 20 ≥ 50
C) 20h + 5 ≥ 50
D) 5h + 20 ≤ 50
B) 5h + 20 ≥ 50
400
What is the area of a circle with a diameter of 10 cm? (Use π ≈ 3.14)
A) 31.4 cm²
B) 78.5 cm²
C) 50 cm²
D) 62.8 cm²
B) 78.5 cm²
400
Which equation correctly shows subtraction as adding the additive inverse?
A. 5 - 2 = 5 + (-2)
B. 5 - 2 = 5 + 2
C. 5 - 2 = -5 + 2
D. 5 - 2 = -5 - 2
A. 5 - 2 = 5 + (-2)
400
On a graph of a proportional relationship, what does the point (1, r) represent?
A) The starting value
B) The unit rate
C) The total cost
D) The origin
B) The Unit Rate
400
You collect data from a random sample of students on their favorite lunch. What should you do to predict the favorite lunch of the whole school?
A) Use only the first student's answer.
B) Use the sample data to make a prediction, and consider variability.
C) Survey every student in the school.
D) Survey only teachers.
B) Use the sample data to make a prediction, and consider variability.
500
Which equation shows that increasing a number, n, by 12% is the same as multiplying it by a single number?
A) n + 0.12 = 1.12n
B) n + 0.12n = 1.12n
C) n × 0.12 = n + 1.12
D) n - 0.12n = 0.88n
B) n + 0.12n = 1.12n
500
In a figure, two angles are supplementary. If one angle measures 3x degrees and the other measures 2x + 10 degrees, what is the value of x?
a) 22
b) 34
c) 34.5
d) 28
b) 34
500
A store has a loss of $45 one day and a gain of $27 the next day. What is the total change in the store’s earnings over the two days?
A) $18 loss
B) $72 gain
C) $18 gain
D) $45 loss
A) $18 loss
500
The point (1, 2.5) lies on the graph of a proportional relationship between hours worked and money earned. What does this point mean in the context of the situation?
A) In 2.5 hours, 1 dollar is earned
B) In 1 hour, 2.5 dollars are earned
C) In 1 hour, 2 dollars are earned
D) In 2.5 hours, 1.5 dollars are earned
B) In 1 hour, 2.5 dollars are earned
500
In a random sample of 30 students, 18 prefer pizza over burgers. What is the predicted number of pizza-preferring students in a school of 300?
A) 60
B) 90
C) 120
D) 180
D) 180