Algebraic Operations and Equations Quiz

Test your algebra skills with 25 questions. Solve equations, factorize expressions, and simplify algebraic operations. Are you up for the challenge?

#1

Solve for x: 3x + 5 = 17

x = 4
x = 6
x = 8
x = 10
3 answered
#2

Which of the following is the additive inverse of -6?

-6
6
-1/6
1/6
2 answered
#3

Factorize the expression: x^2 - 4

(x + 2)(x + 2)
(x - 2)(x - 2)
(x + 2)(x - 2)
(x - 2)(x + 4)
1 answered
#4

Solve the equation for x: 2(x - 3) = 5(x + 1)

x = -11
x = -9
x = -5
x = -1
1 answered
#5

Expand the expression: (2x - 3)(x + 4)

2x^2 + 8x - 3x - 12
2x^2 - 5x - 12
2x^2 + 5x - 12
2x^2 + 5x - 7
1 answered
#6

Simplify the expression: 3(2x + 5) - 2(3x - 1)

12x + 13
5x + 13
12x - 13
5x - 13
#7

Solve for x: 4x + 7 = 3(x - 2)

x = -5
x = -3
x = 5
x = 3
#8

Which of the following is equivalent to 3x - 2 + 5x?

8x - 2
15x
8x - 2 + 5
8x + 3
#9

Solve for x: 2(x + 1) = 3(2x - 1)

x = 1
x = -1
x = 2
x = -2
#10

Which of the following is equivalent to 2x - (3x + 1)?

-x - 1
-x + 1
-5x
-x + 2
#11

Solve for x: 5x - 3 = 2x + 7

x = 5
x = 2
x = -2
x = -5
#12

Which of the following is equivalent to -2(3x - 4)?

-6x + 8
6x - 8
-6x - 8
6x + 8
#13

Which of the following is a solution to the equation: 2x^2 - 5x - 3 = 0?

x = -1, x = 3/2
x = -3, x = 1/2
x = -1, x = 3
x = -3, x = -1/2
#14

Find the value of x: 2(3x - 1) = 3(2x + 5)

x = -11/5
x = -5/11
x = 11/5
x = 5/11
#15

Solve for x: (x + 3)(x - 4) = 0

x = -3, x = 4
x = -3, x = -4
x = 3, x = 4
x = 3, x = -4
#16

If 2x + 3y = 11 and x - 2y = -5, find the value of x + y.

4
3
2
1
#17

Find the value of x: 3(x + 2) = 4(2x - 1)

x = 5
x = -5
x = 3
x = -3
#18

Solve the equation for x: (x - 2)(x + 3) = 0

x = -3, x = 2
x = -3, x = -2
x = 3, x = 2
x = 3, x = -2
#19

If 2x + 5y = 17 and 3x - 4y = 8, find the value of x - y.

4
3
2
1
#20

Find the value of x: 4(x - 2) = 3(3x + 1)

x = 1
x = -1
x = 2
x = -2
#21

Solve the equation for x: (x + 4)(x - 2) = 0

x = -4, x = 2
x = -4, x = -2
x = 4, x = 2
x = 4, x = -2
#22

If 3x + 2y = 14 and 2x - 5y = -1, find the value of x + y.

7
8
9
10
#23

Find the value of x: 2(x + 3) = 3(2x - 1)

x = 2
x = -2
x = 1
x = -1
#24

Solve the equation for x: (x - 3)(x + 5) = 0

x = 3, x = -5
x = 3, x = 5
x = -3, x = -5
x = -3, x = 5
#25

If 4x + 3y = 15 and 2x - y = 7, find the value of 2x - 2y.

1
2
3
4

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