GED Math: Algebra Fundamentals Practice Quiz

Test your understanding of fundamental algebra concepts - essential skills for the GED Math test

Welcome to our free GED Math practice quiz on algebra fundamentals. This 15-question quiz helps you prepare for the GED Math test by focusing on essential algebraic concepts.

This quiz covers solving basic equations, understanding how to manipulate equations, and working with variables - all critical skills for success on the GED Math test.

GED Math Test Info: Algebra makes up approximately 25-30% of the GED Math section (115 minutes, ~45 questions).

1 True or False: To solve for \(x\) in the equation \(x + 5 = 10\), you subtract 5 from both sides of the equation.
A
True
B
False
2 True or False: To isolate \(x\) in the equation \(2x = 8\), you divide both sides of the equation by 2.
A
True
B
False
3 What happens if you move a number from the right side of the equation to the left side?
A
You add it if it was being subtracted on the right side
B
You subtract it if it was being added on the right side
C
You multiply it if it was being divided on the right side
D
You divide it if it was being multiplied on the right side
4 True or False: In the equation \(3x - 2 = 10\), to solve for \(x\), you first add 2 to both sides.
A
True
B
False
5 True or False: To solve for \(x\) in the equation \(5x + 3 = 18\), you subtract 3 from both sides first.
A
True
B
False
6 How do you solve for \(x\) in the equation \(x - 4 = 6\)?
A
Add 4 to both sides
B
Subtract 4 from both sides
C
Multiply both sides by 4
D
Divide both sides by 4
7 If the equation is \(4x + 7 = 19\), what is the first step to solve for \(x\)?
A
Subtract 7 from both sides
B
Divide both sides by 7
C
Add 7 to both sides
D
Multiply both sides by 4
8 True or False: If you move a term with a positive sign to the other side of the equation, you change its sign to negative.
A
True
B
False
9 What happens when you divide both sides of the equation \(2x = 12\) by 2?
A
The equation becomes \(x = 6\)
B
The equation becomes \(x = 24\)
C
The equation becomes \(x = 2\)
D
The equation becomes \(x = 14\)
10 How do you work backward to solve for \(x\) in the equation \(3x + 4 = 13\)?
A
Subtract 4 from both sides, then divide by 3
B
Add 4 to both sides, then divide by 3
C
Divide both sides by 3, then add 4
D
Multiply both sides by 3, then subtract 4
11 True or False: To solve for \(x\) in the equation \(x/5 = 3\), you multiply both sides by 5.
A
True
B
False
12 How do you solve for \(x\) in the equation \(x + 6 = 12\)?
A
Subtract 6 from both sides
B
Add 6 to both sides
C
Multiply both sides by 6
D
Divide both sides by 6
13 True or False: When you move a term from one side of the equation to the other, you reverse the operation (add becomes subtract, multiply becomes divide).
A
True
B
False
14 What is the first step to solve the equation \(x/2 = 8\)?
A
Multiply both sides by 2
B
Divide both sides by 2
C
Add 2 to both sides
D
Subtract 2 from both sides
15 True or False: In the equation \(2x - 3 = 7\), you first add 3 to both sides to begin solving for \(x\).
A
True
B
False