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Pre-Algebra Practice Questions

ACT · ACT Math · 128 free MCQs with instant results and detailed explanations.

128
Total
36
Easy
71
Medium
21
Hard

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Sample Questions from Pre-Algebra

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Q1
Easy
A rectangle has a length of 10 units and a width of 5 units. What is its perimeter?
A. 15 units
B. 30 units
C. 50 units
D. 25 units
Show Answer & Explanation
Correct Answer: B
The perimeter of a rectangle is calculated by the formula P = 2(length + width). Here, P = 2(10 + 5) = 30 units.
Q2
Easy
If 7y = 42, what is the value of y?
A. 6
B. 7
C. 8
D. 5
Show Answer & Explanation
Correct Answer: A
To find y, divide both sides of the equation by 7. This gives y = 42 / 7, resulting in y = 6.
Q3
Easy
Which of the following numbers is a prime number? 4, 9, 11, 15
A. 4
B. 9
C. 11
D. 15
Show Answer & Explanation
Correct Answer: C
A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. 11 has no divisors other than 1 and itself, making it prime.
Q4
Medium
A rectangle's length is 3 times its width. If the perimeter is 48 cm, what is the width?
A. 6 cm
B. 8 cm
C. 10 cm
D. 12 cm
Show Answer & Explanation
Correct Answer: B
Let the width be w; then the length is 3w. The perimeter formula is 2(length + width) = 48, leading to w = 8 cm.
Q5
Medium
Which of the following expressions is equivalent to 7(2x + 3) - 4(x - 5)?
A. 10x + 17
B. 10x + 11
C. 10x - 1
D. 10x + 1
Show Answer & Explanation
Correct Answer: C
Distributing gives 14x + 21 - 4x + 20, which simplifies to 10x + 41.
Q6
Medium
If a car travels 180 miles in 3 hours, what is its average speed in miles per hour?
A. 50 mph
B. 60 mph
C. 70 mph
D. 80 mph
Show Answer & Explanation
Correct Answer: B
Average speed is calculated by total distance divided by total time: 180 miles / 3 hours = 60 mph.
Q7
Medium
Which of the following expressions represents the perimeter of a rectangle with length (l) and width (w)?
A. 2l + 2w
B. lw
C. l + w
D. 2lw
Show Answer & Explanation
Correct Answer: A
The perimeter (P) of a rectangle is given by the formula P = 2(length + width), which can be rearranged to 2l + 2w.
Q8
Hard
If 3x + 5 = 2x + 12, what is the value of x?
A. 7
B. 5
C. 12
D. 17
Show Answer & Explanation
Correct Answer: A
To solve for x, first rearrange the equation. Subtract 2x from both sides to get x + 5 = 12. Then, subtract 5 from both sides to find x = 7.
Q9
Hard
A rectangle has a length that is 4 times its width. If the perimeter of the rectangle is 100 units, what is the width?
A. 5 units
B. 10 units
C. 15 units
D. 20 units
Show Answer & Explanation
Correct Answer: B
Let the width be w. Then the length is 4w. The perimeter P is given by P = 2(length + width) = 2(4w + w) = 10w. Setting this equal to 100 gives 10w = 100, thus w = 10.
Q10
Hard
A rectangle has a length that is twice its width. If the perimeter of the rectangle is 48 cm, what is the width of the rectangle?
A. 8 cm
B. 12 cm
C. 10 cm
D. 6 cm
Show Answer & Explanation
Correct Answer: A
Let the width be w cm. Then, the length is 2w cm. The perimeter formula is P = 2(length + width). Therefore, 48 = 2(2w + w) simplifies to 48 = 6w, giving w = 8 cm. Thus, the correct answer is A.

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Pre-Algebra — ACT ACT Math Practice Questions Online

This page contains 128 practice MCQs for the chapter Pre-Algebra in ACT ACT Math. The questions are organized by difficulty — 36 easy, 71 medium, 21 hard — so you can choose the right level for your preparation.

Every question includes a detailed explanation to help you understand the concept, not just memorize answers. Take a timed quiz to simulate exam conditions, or practice at your own pace with no time limit.