Top 10 Pre-Algebra Practice Questions

Here are 10 pre-algebra practice questions with full step-by-step answers, covering integers, fractions, ratios, expressions, and equations. Work each one on paper first, then check the solution below to see exactly where a mistake happened.

Start your prep journey right now with these sample Pre-Algebra questions.

The Absolute Best Book to Ace the Pre-Algebra

Pre-Algebra for Beginners 2026 The Ultimate Step by Step Guide to Preparing for the Pre-Algebra Test

Download

$27.99 Original price was: $27.99.$17.99Current price is: $17.99.

Rated 4.30 out of 5 based on 105 customer ratings

Satisfied 92 Students

/p>

8- A swimming pool holds 2,000 cubic feet of water. The swimming pool is 25 feet long and 10 feet wide. How deep is the swimming pool?_______

9- The area of a circle is (64 π). Which of the following is the circumference of the circle?

A. 8(pi)

B. 12(pi)

C. 16(pi)

D. 64(pi)

10- What is the value of (3^6 ) ?______

Best Algebra Prep Resource

Answers:

2- D
The equation of a line in slope intercept form is: (y=mx+b)
Solve for (y).
(4x-2y=12 {Rightarrow} -2y=12-4x {Rightarrow} y=(12-4x){div}(-2) {Rightarrow} y=2x-6)
The slope of this line is 2.
The product of the slopes of two perpendicular lines is -1.
Therefore, the slope of a line that is perpendicular to this line is:
(m_{1} {times} m_{2} = -1 {Rightarrow} 2 {times} m_{2} = -1 {Rightarrow} m_{2} = frac{-1}{2})

3- D
Use FOIL method.
((2x+2y)(2x-y) = 4x^2-2xy+4xy-2y^2=4x^2+2xy-2y^2)

4- D
To solve absolute values equations, write two equations.
(x-10) could be positive 3, or negative 3. Therefore,
(x-10=3 Rightarrow x=13)
(x-10=-3 Rightarrow x=7)
Find the product of solutions: (7 times 13 = 91)

5- C
Use PEMDAS (order of operation):
([6 {times} (- 24) + 8], (- 4) + [4 × 5] {div} 2 )
( [- 144 + 8], (- 4) + [20] {div} 2 =
[- 144 + 8], (- 4) + 10 )
([- 136], (- 4) + 10 = [- 136] + 4 + 10 =, 122)

6- D
Solving Systems of Equations by Elimination
Multiply the first equation by (-2), then add it to the second equation.
({-2(2x+5y= 11) 4x-2y=-14} {Rightarrow} {-4x-10y= -22 4x-2y=-14} {Rightarrow} {-12y= -36} {Rightarrow} {y= 3})
Plug in the value of y into one of the equations and solve for x.
(2x+5(3)= 11 {Rightarrow} 2x+15= 11 {Rightarrow} 2x= -4 {Rightarrow} x= -2)

7- B
Write the numbers in order:
2, 19, 27, 28, 35, 44, 67
Median is the number in the middle. So, the median is 28

8- 8
Use formula of rectangle prism volume.
(V = (length) (width) (height) {Rightarrow} 2000 = (25) (10) (height) {Rightarrow} height = 2000 {div} 250 = 8)

9- C
The area of the circle is (16 π). Use the formula of areas of circles.
(Area = πr^2 ⇒ 64 π> πr^2⇒ 64 > r^2⇒ r < 8)
The radius of the circle is 8. Let’s put 8 for the radius. Now, use the circumference formula:
(Circumference =2πr=2π (8)=16π)

10- 729
((3^6 ) = 3 × 3 × 3 × 3 × 3 × 3 = 729)

Looking for the best resource to help you succeed on the Pre-Algebra Math test?

The Best Books to Ace Algebra

Algebra I for Beginners 2026 The Ultimate Step by Step Guide to Acing Algebra I

Download

$27.99 Original price was: $27.99.$17.99Current price is: $17.99.