Pre-Algebra Practice Test Questions

Pre-Algebra Practice Test Questions

Preparing for the Pre-Algebra Math test? Try these free Pre-Algebra Math Practice questions. Reviewing practice questions is the best way to brush up your Math skills. Here, we walk you through solving 10 common Pre-Algebra Math practice problems covering the most important math concepts on the Pre-Algebra Math test.

These Pre-Algebra Math practice questions are designed to be similar to those found on the real Pre-Algebra Math test. They will assess your level of preparation and will give you a better idea of what to study on your exam.

The Absolute Best Book to Ace the Pre-Algebra Math Test

10 Sample Pre-Algebra Math 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 sport shoes cost $120 each. Which of the following inequalities represent the number of new shoes the team can purchase.

☐A. 120\(x\)+14,000 \(\leq \) 20,000

☐B. 20\(x\)+14,000 \(\geq \) 20,000

☐C. 14,000\(x\)+120 \(\leq \) 20,000

☐D. 14,000\(x\)+12,0 \(\geq \) 20,000

Best Pre-Algebra Math Prep Resource for 2020

Answers:

1- 60
Jason needs a score 75 average to pass for five exams. Therefore, the sum of 5 exams must be at lease 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 square root of the area.
\(\sqrt{595.36}=24.4\)
Four times the side 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 \(2 (width + length) = 2(2x+x)=60 {\Rightarrow} 6x=60 {\Rightarrow} x=10 \)
Length of the rectangle is 10 meters.

5- D
average \(= \frac{sum \space of \space terms}{number \space of \space terms} {\Rightarrow} (average \space of \space 6 \space numbers) \space 12 = \frac{sum \space of \space terms}{6} ⇒sum \space of \space 6 \space numbers\space is \)
\(12 {\times} 6 = 72\)
\((average \space of \space 4 \space numbers) \space 10 = \frac{sum \space of \space terms}{4}{\Rightarrow} sum \space of \space 4 \space numbers \space is \space 10 {\times} 4 = 40\)
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 \(x\).
\(40\% \space of \space x=4{\Rightarrow} 0.40 \space x=4 {\Rightarrow} x=4 {\div}0.40=10\)

7- C
First, find the sum of five numbers.
\(average =\frac{ sum \space of \space terms }{ number \space of \space terms } ⇒ 24 = \frac{ sum \space of \space 5 \space numbers }{5}\)
\( ⇒ sum \space of \space 5 \space numbers = 24 × 5 = 120\)
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 Math test?

The Best Books to Ace the Pre-Algebra Math Test

Related to "Pre-Algebra Practice Test Questions"

FREE Pre-Algebra Math Practice Test
FREE Pre-Algebra Math Practice Test
10 Most Common Pre-Algebra Math Questions
10 Most Common Pre-Algebra Math Questions
Top 10 Pre-Algebra Practice Questions
Top 10 Pre-Algebra Practice Questions
Pre-Algebra FREE Sample Practice Questions
Pre-Algebra FREE Sample Practice Questions
How to prepare for Pre-Algebra test – step by step guide
How to prepare for Pre-Algebra test – step by step guide
Pre-Algebra Worksheets
Pre-Algebra Worksheets
The Ultimate Pre-Algebra Course
The Ultimate Pre-Algebra Course
Pre-Algebra Formulas
Pre-Algebra Formulas

Leave a Reply

Your email address will not be published. Required fields are marked *

27% OFF

Download Instantly

X

How Does It Work?

Find Books

1. Find eBooks

Locate the eBook you wish to purchase by searching for the test or title.

add to cart

2. Add to Cart

Add the eBook to your cart.

checkout

3. Checkout

Complete the quick and easy checkout process.

download

4. Download

Immediately receive the download link and get the eBook in PDF format.

Why Buy eBook From Effortlessmath?

Save money

Save up to 70% compared to print

Instantly download

Instantly download and access your eBook

help environment

Help save the environment

Access

Lifetime access to your eBook

Test titles

Over 2,000 Test Prep titles available

Customers

Over 80,000 happy customers

Star

Over 10,000 reviews with an average rating of 4.5 out of 5

Support

24/7 support

Anywhere

Anytime, Anywhere Access

Find Your Test

Schools, tutoring centers, instructors, and parents can purchase Effortless Math eBooks individually or in bulk with a credit card or PayPal. Find out more…