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Middle School Basic Algebra Mastery

Basic Algebra

A collection of medium-difficulty, fact-based multiple-choice questions designed to assess understanding of core middle school algebra concepts, aligned with typical curricula.

algebra middle school equations variables expressions
20 Questions Medium Ages 11+ Apr 17, 2026

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About this Study Set

This study set covers Basic Algebra through 20 practice questions. A collection of medium-difficulty, fact-based multiple-choice questions designed to assess understanding of core middle school algebra concepts, aligned with typical curricula. Every question includes the correct answer so you can learn as you go — pick any format above to get started.

Questions & Answers

Browse all 20 questions from the Middle School Basic Algebra Mastery study set below. Each question shows the correct answer — select a study format above to practice interactively.

1 What is the value of the expression 3x + 5 when x = 4?
  • A 17
  • B 27
  • C 32
  • D 12
2 Which of the following is an example of a variable?
  • A 5
  • B x
  • C +
  • D 10
3 Solve for n in the equation n - 7 = 15.
  • A 8
  • B 22
  • C 105
  • D 5
4 If 2y = 18, what is the value of y?
  • A 9
  • B 16
  • C 20
  • D 36
5 What is the coefficient of the term 6m in the expression 6m - 3?
  • A m
  • B 6m
  • C -3
  • D 6
6 Simplify the expression 4a + 3a.
  • A 12a
  • B 7a²
  • C 7a
  • D a
7 In the equation 3 + p = 10, what is the constant term?
  • A p
  • B 3
  • C 10
  • D 7
8 What operation is represented by the exponent in x²?
  • A Addition
  • B Subtraction
  • C Multiplication
  • D Raising to a power
9 Solve for b in the equation b/5 = 4.
  • A 20
  • B 9
  • C 1
  • D 25
10 Which of the following is an inequality?
  • A x + 2 = 5
  • B 3y > 9
  • C 4a - 1
  • D 10 = 10
11 What is the inverse operation of addition?
  • A Multiplication
  • B Division
  • C Subtraction
  • D Squaring
12 Simplify the expression 5(x + 2).
  • A 5x + 2
  • B 7x
  • C 5x + 10
  • D x + 10
13 If a = 3 and c = 7, what is the value of a + c?
  • A 21
  • B 10
  • C 4
  • D 11
14 What does the 'equals' sign (=) represent in an equation?
  • A Greater than
  • B Less than
  • C Balance or equivalence
  • D Difference
15 Identify the constant term in the algebraic expression 2k - 9 + 4m.
  • A 2k
  • B 4m
  • C 2
  • D -9
16 Solve for z in the equation 12 - z = 5.
  • A 17
  • B 7
  • C 60
  • D 5
17 What is the result of combining like terms in 8y - 3y?
  • A 11y
  • B 5y
  • C 24y
  • D y
18 If a number is represented by 'n', how would you write 'five less than a number' algebraically?
  • A 5n
  • B n + 5
  • C n - 5
  • D 5 - n
19 What is the order of operations (PEMDAS/BODMAS) first step?
  • A Multiplication and Division
  • B Addition and Subtraction
  • C Parentheses/Brackets
  • D Exponents/Orders
20 Solve for x in the equation 3x = 21.
  • A 7
  • B 18
  • C 63
  • D 24
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