Algebraic Operations and Number Properties Quiz

Test your algebra skills with these 16 questions covering simplification, factoring, solving equations, and inequalities.

#1

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

2x + 6y
4x - 2y
2x - 2y
4x + 6y
#2

If 2x + 3 = 5, what is the value of x?

1
2
3
4
#3

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

-5
4
3
1
#4

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

1
2
3
4
#5

Factorize the quadratic expression: x^2 - 5x + 6

(x - 2)(x - 3)
(x - 1)(x - 6)
(x + 2)(x - 3)
(x - 1)(x + 6)
#6

Solve the equation for x: 2(x - 4) = 3x + 5

-13
-12
11
12
#7

Expand and simplify the expression: (2x - 3)^2

4x^2 - 12x + 9
4x^2 - 6x + 9
4x^2 - 12x + 6
4x^2 - 6x + 6
#8

If 4x - 3 = 5x + 2, what is the value of x?

-5
-3
1
3
#9

Find the product: (2x - 5)(3x + 4)

6x^2 - 7x - 20
6x^2 + 7x - 20
6x^2 - 7x + 20
6x^2 + 7x + 20
#10

Solve the inequality: 3x + 5 > 2x - 1

x > -6
x < 6
x > 6
x < -6
#11

If a + 2b = 10 and 3a - b = 8, what is the value of a?

3
4
5
6
#12

Solve the system of equations:
2x + y = 8
x - 3y = -5

x = 2, y = 4
x = 3, y = 2
x = 1, y = 6
x = 4, y = 0
#13

If a - b = 7 and a^2 - b^2 = 33, what are the values of a and b?

a = 5, b = -2
a = 4, b = -3
a = 6, b = -1
a = 3, b = -4
#14

Simplify the expression: (4x^3 + 2x^2 - 6x) / 2x

2x^2 + x - 3
2x^2 - x + 3
2x^2 + x + 3
2x^2 - x - 3
#15

If 2^(x-1) = 8, what is the value of x?

1
2
3
4
#16

Simplify: (4a^2b^3)^2

8a^4b^6
16a^4b^6
8a^2b^6
16a^2b^6

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