Algebraic Expressions and Problem Solving Quiz

Test your algebra skills with questions on simplifying expressions, solving equations, factorizing quadratics, and more.

#1

Simplify the expression: 3x + 2y - 5x + 4y

-2x + 6y
-2x - 6y
8x - 2y
2x + 2y
#2

If 2x + 5 = 13, what is the value of x?

3
4
5
6
#3

Factorize the expression: x^2 - 9

(x - 3)(x + 3)
(x - 4)(x + 4)
(x - 2)(x + 2)
(x - 5)(x + 5)
#4

Solve the equation: 2(x - 3) = 4

x = 2
x = 3
x = 4
x = 5
#5

If 3x - 7 = 11, what is the value of x?

3
6
6.33
7
#6

Simplify the expression: 2(x + 4) - 3(2x - 5)

-4x - 13
-8x + 13
-2x + 13
-6x - 13
#7

Solve the inequality: 2x + 7 < 15

x < 4
x > 4
x < 5
x > 5
#8

If 5(x - 2) = 3(2x + 1), what is the value of x?

3
4
5
6
#9

Expand and simplify: (3a - 2b)^2

9a^2 - 12ab + 4b^2
9a^2 - 4b^2
9a^2 - 6ab + 4b^2
9a^2 - 4ab + 4b^2
#10

Factorize the quadratic expression: 4x^2 - 16

2(x - 4)(x + 4)
(2x - 4)(2x + 4)
4(x - 2)(x + 2)
(x - 4)(x + 4)
#11

Find the value of a if 2(a - 1) = 3a + 5

-6
-5
4
6
#12

Simplify the expression: (2x^2 - 3xy + 4) + (5x^2 + 2xy - 1)

7x^2 - xy + 3
7x^2 - xy + 3x
7x^2 - xy + 3y
7x^2 - xy + 5
#13

Factorize the quadratic expression: 9x^2 - 16y^2

(3x - 4y)(3x + 4y)
(3x - 2y)(3x + 2y)
(3x - 4y)(3x - 4y)
(3x + 4y)(3x + 4y)
#14

Solve the system of equations:
2x + 3y = 7
4x - 2y = 6

x = 2, y = 1
x = 1, y = 2
x = -1, y = 2
x = 2, y = -1

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