# 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.

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## 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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## Answers:

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:

\(120x+14,000 {\leq}20,000\)

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