Algebraic Operations and Equations Quiz

Test your algebra skills with 14 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
#2

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

-6
6
-1/6
1/6
#3

Factorize the expression: x^2 - 4

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

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

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

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
#10

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

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

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

x = -3, x = 4
x = -3, x = -4
x = 3, x = 4
x = 3, x = -4
#12

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

4
3
2
1
#13

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

x = 5
x = -5
x = 3
x = -3
#14

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

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