# Pre-Algebra FREE Sample Practice Questions

Preparing for the Pre-Algebra test? To do your best on the Pre-Algebra test, you need to review and practice real Pre-Algebra questions.  There’s nothing like working on Math sample questions to hone your math skills and put you more at ease when taking the Pre-Algebra test. The sample math questions you’ll find here are brief samples designed to give you the insights you need to be as prepared as possible for your Pre-Algebra test.

Check out our sample Pre-Algebra practice questions to find out what areas you need to practice more before taking the Pre-Algebra test!

Start preparing for the Pre-Algebra test with our free sample practice questions. Also, make sure to follow some of the related links at the bottom of this post to get a better idea of what kind of mathematics questions you need to practice.

$13.99 Satisfied 125 Students ## 10 Sample Pre-Algebra Practice Questions 1- Jason needs a score of 75 average in his writing class to pass. On his first 4 exams, he earned scores of 68, 72, 85, and 90. What is the minimum score Jason can earn on his fifth and final test to pass? __________ 2- Anita’s trick–or–treat bag contains 12 pieces of chocolate, 18 suckers, 18 pieces of gum, 24 pieces of licorice. If she randomly pulls a piece of candy from her bag, what is the probability of her pulling out a piece of sucker? A. $$\frac{1}{3}$$ B. $$\frac{1}{4}$$ C. $$\frac{1}{6}$$ D. $$\frac{1}{12}$$ 3- What is the perimeter of a square in centimeters that has an area of $$595.36 cm^2$$? A. 97.2 B. 97.6 C. 97.7 D. 97.9 4- The perimeter of a rectangular yard is 60 meters. What is its length if its width is twice its length? A. 10 meters B. 18 meters C. 20 meters D. 24 meters 5- The average of 6 numbers is 12. The average of 4 of those numbers is 10. What is the average of the other two numbers? A. 10 B. 12 C. 14 D. 16 6- If $$40\%$$ of a number is 4, what is the number? A. 4 B. 8 C. 10 D. 12 7- The average of five numbers is 24. If a sixth number 42 is added, then, which of the following is the new average? A. 25 B. 26 C. 27 D. 42 8- The ratio of boys and girls in a class is 4:7. If there are 44 students in the class, how many more boys should be enrolled to make the ratio 1:1? A. 8 B. 10 C. 12 D. 14 9- What is the slope of the line: $$4x-2y=6$$ __________ 10- A football team had$20,000 to spend on supplies. The team spent $14,000 on new balls. New sports shoes cost$120 each. Which of the following inequalities represent the number of new shoes the team can purchase.

A. $$120x+14,000 ≤ 20,000$$

B. $$20x+14,000 ≥ 20,000$$

C. $$14,000x+120 ≤ 20,000$$

D. $$14,000x+12,0 ≥ 20,000$$

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1- 60
Jason needs a score of 75 on average to pass five exams. Therefore, the sum of 5 exams must be at least $$5 \times 75 = 375$$
The sum of 4 exams is:
$$68 + 72 + 85 + 90 = 315$$.
The minimum score Jason can earn on his fifth and final test to pass is:
$$375 – 315 = 60$$

2- B
Probability $$= \frac{number \space of \space desired \space outcomes}{number \space of \space total \space outcomes} = \frac{18}{12+18+18+24} = \frac{18}{72} = \frac{1}{4}$$

3- B
The area of the square is 595.36. Therefore, the side of the square is the square root of the area.
$$\sqrt{595.36}=24.4$$
Four times the size of the square is the perimeter:$$4 \times 24.4 = 97.6$$

4- A
The width of the rectangle is twice its length. Let $$x$$ be the length. Then, width $$=2x$$
Perimeter of the rectangle is (2 (width + length) $$= 2(2x+x)=60 {\Rightarrow} 6x=60 {\Rightarrow} x=10$$
The length of the rectangle is 10 meters.

5- D
average $$= \frac{sum \space of \space terms}{number \space of \space terms} {\Rightarrow} (average \space of \space 6 \space numbers) \space 12 = \frac{sum \space of \space terms}{6} ⇒$$ sum of 6 numbers is
$$12 {\times} 6 = 72$$
(average of 4 numbers) 10 $$= \frac{sum \space of \space terms}{4}{\Rightarrow}$$ sum of 4 numbers is $$10 {\times} 4 = 40$$
sum of 6 numbers $$-$$ sum of 4 numbers = sum of 2 numbers
$$72 – 40 = 32$$
average of 2 numbers $$= \frac{32}{2} = 16$$

6- C
Let $$x$$ be the number. Write the equation and solve for $$x$$.
$$40\%$$ of $$x=4{\Rightarrow} 0.40 x=4 {\Rightarrow} x=4 {\div}0.40=10$$

7- C
First, find the sum of five numbers.
average $$=\frac{ sum \space of \space terms }{ number \space of \space terms } ⇒ 24 = \frac{ sum \space of \space 5 \space numbers }{5} ⇒$$ sum of 5 numbers $$= 24 × 5 = 120$$
The sum of 5 numbers is 120. If a sixth number that is 42 is added to these numbers, then the sum of 6 numbers is 162.
$$120 + 42 = 162$$
average $$=\frac{ sum \space of \space terms }{ number \space of \space terms } = \frac{162}{6}=27$$

8- C
The ratio of boy to girls is 4:7.
Therefore, there are 4 boys out of 11 students.
To find the answer, first, divide the total number of students by 11, then multiply the result by 4.
$$44 {\div} 11 = 4 {\Rightarrow} 4 {\times} 4 = 16$$
There are 16 boys and $$28 (44 – 16)$$ girls. So, 12 more boys should be enrolled to make the ratio 1:1

9- 2
Solve for $$y$$.
$$4x-2y=6 {\Rightarrow} -2y=6-4x {\Rightarrow} y=2x-3$$
The slope of the line is 2.

10- A
Let $$x$$ be the number of new shoes the team can purchase. Therefore, the team can purchase $$120 x$$.
The team had $20,000 and spent$14000. Now the team can spend on new shoes $6000 at most. Now, write the inequality: $$120x+14,000 {\leq}20,000$$ Looking for the best resource to help you succeed on the Pre-Algebra test? ## The Best Books to Ace the Pre-Algebra Test$13.99
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