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Middle School Algebra Fundamentals

Algebra

A collection of medium-difficulty, factually accurate multiple-choice questions covering core middle school algebra concepts, aligned with common curricula.

algebra middle school curriculum equations variables
15 Questions Medium Ages 10+ Jul 20, 2026

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About this Study Set

This study set covers Algebra through 15 practice questions. A collection of medium-difficulty, factually accurate multiple-choice questions covering core middle school algebra concepts, aligned with common 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 15 questions from the Middle School Algebra Fundamentals study set below. Each question shows the correct answer — select a study format above to practice interactively.

1 Which of the following is an expression that represents 'five less than a number, n'?
  • A n + 5
  • B 5n
  • C n - 5
  • D 5 - n
2 If x = 3, what is the value of 2x + 7?
  • A 10
  • B 13
  • C 6
  • D 21
3 What is the coefficient of the term 7y in the expression 3x + 7y - 2?
  • A 3
  • B x
  • C 7
  • D y
4 Which equation correctly represents the statement 'The sum of a number, p, and 9 is equal to 23'?
  • A p - 9 = 23
  • B 9p = 23
  • C p + 9 = 23
  • D 23p = 9
5 To solve the equation 4m = 20 for m, what operation should be performed on both sides of the equation?
  • A Add 4
  • B Subtract 4
  • C Multiply by 4
  • D Divide by 4
6 What is the value of y in the equation y - 6 = 15?
  • A 9
  • B 21
  • C 15
  • D 6
7 In the expression 5(a + 2), what does the number 5 represent?
  • A A variable
  • B A constant
  • C A coefficient
  • D An exponent
8 Which of the following is an example of a like term with 3x?
  • A 3y
  • B x
  • C 5x
  • D 3
9 If a = -2, what is the value of a²?
  • A -4
  • B 4
  • C -2
  • D 2
10 What is the solution to the inequality 2k > 10?
  • A k < 5
  • B k > 5
  • C k = 5
  • D k < 10
11 Which of these is a perfect square trinomial?
  • A x² + 4x + 5
  • B x² + 6x + 9
  • C x² + 2x + 1
  • D x² + 8x + 10
12 What is the least common multiple (LCM) of the denominators in the expression 1/x + 1/y?
  • A x
  • B y
  • C xy
  • D x + y
13 If a rectangle has a length of L units and a width of W units, what is its perimeter?
  • A LW
  • B L + W
  • C 2L + 2W
  • D 2(L + W)
14 What operation is being performed on 'n' in the expression n/3?
  • A Multiplication
  • B Addition
  • C Subtraction
  • D Division
15 Which of the following represents a set of integers?
  • A {1.5, 2.7, 3.1}
  • B {1/2, 3/4, 5/6}
  • C {-3, -2, -1, 0, 1, 2, 3}
  • D {10%, 25%, 50%}
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