About this Study Set
This study set covers Basic Algebra through
25 practice questions.
Challenging algebraic concepts including operations with variables, linear equations, and polynomial expressions aligned with curriculum standards. Every question includes the correct answer so you can learn as you go — pick any format above to get started.
Questions & Answers
Browse all 25 questions from the
Advanced Middle School Algebra Mastery study set below.
Each question shows the correct answer — select a study format above to practice interactively.
1
What is the result of simplifying the expression 3(2x - 5) - (4x + 7)?
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A
2x - 22
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B
2x - 8
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C
10x - 22
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D
10x - 8
2
If 5(y - 2) = 3y + 14, what is the value of y?
3
Which expression is equivalent to (x + 4)(x - 4) - (x^2 - 16)?
4
The formula for the volume of a cylinder is V = πr^2h. Solving for h gives:
-
A
h = V / (πr^2)
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B
h = V - πr^2
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C
h = πr^2 / V
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D
h = Vπ / r^2
5
What is the value of x in the equation 2/3x + 5 = 11?
6
Expand and simplify (2a + 3b)^2:
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A
4a^2 + 6ab + 9b^2
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B
4a^2 + 12ab + 9b^2
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C
2a^2 + 12ab + 3b^2
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D
4a^2 + 9b^2
7
Factorise the expression x^2 - 7x + 12:
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A
(x - 3)(x - 4)
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B
(x + 3)(x + 4)
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C
(x - 2)(x - 6)
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D
(x + 2)(x + 6)
8
If 3^x = 81, what is the value of x?
9
Simplify (x^5 * x^3) / x^2:
10
What is the gradient (slope) of the line represented by 2x + 4y = 8?
11
Solve for x: 4(x + 3) = 2(x + 10)
-
A
x = 2
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B
x = 4
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C
x = 6
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D
x = 8
12
What is the constant term in the expansion of (x + 5)(x - 2)?
13
Identify the y-intercept of the linear equation y = -3x + 7:
14
Simplify the expression: (12a^4b^2) / (3a^2b^5)
-
A
4a^2b^3
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B
4a^2/b^3
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C
4b^3/a^2
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D
9a^2/b^3
15
What is the value of x if 7x - 4 = 3x + 12?
16
Which of the following is the correct factorisation of 9x^2 - 25?
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A
(3x - 5)^2
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B
(3x + 5)^2
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C
(3x - 5)(3x + 5)
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D
(9x - 5)(9x + 5)
17
If x = -3, what is the value of 2x^2 - 4x + 5?
18
Which equation represents a line passing through (0, 5) with a gradient of 2?
-
A
y = 5x + 2
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B
y = 2x + 5
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C
y = 2x - 5
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D
y = 5x - 2
19
Solve for x: 0.5x + 1.2 = 3.2
20
Expand -2x(x - 4):
-
A
-2x^2 - 8x
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B
-2x^2 + 8x
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C
2x^2 + 8x
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D
-2x^2 - 4x
21
What is the coefficient of x in the expression 5 - 3x + 2x^2?
22
Simplify the following expression: (2x^3)^2
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A
2x^5
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B
4x^6
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C
2x^6
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D
4x^5
23
Given the formula A = 1/2bh, express b in terms of A and h:
-
A
b = 2A/h
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B
b = A/2h
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C
b = Ah/2
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D
b = 2h/A
24
Solve the inequality: 3x - 2 > 7
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A
x > 3
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B
x < 3
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C
x > 5/3
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D
x < 5/3
25
Find the value of x if 3(x + 1) = 2x + 7
