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Basic Algebra Fundamentals

Mathematics

Core concepts of introductory algebra including variables, expressions, and simple equations.

algebra middle school equations
25 Questions Easy Ages 11+ Aug 11, 2026

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About this Study Set

This study set covers Mathematics through 25 practice questions. Core concepts of introductory algebra including variables, expressions, and simple equations. 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 Basic Algebra Fundamentals study set below. Each question shows the correct answer — select a study format above to practice interactively.

1 In the algebraic expression 5x + 3, what is the term '5' called?
  • A Variable
  • B Coefficient
  • C Constant
  • D Exponent
2 Which of the following represents 'a number x increased by 7'?
  • A x - 7
  • B 7x
  • C x + 7
  • D x / 7
3 What is the value of 'x' if x + 5 = 12?
  • A 7
  • B 17
  • C 60
  • D 2
4 Which algebraic expression represents 'the product of 4 and y'?
  • A 4 + y
  • B 4 - y
  • C y / 4
  • D 4y
5 In the expression 2a - 4, what is the value of the constant?
  • A 2
  • B a
  • C -4
  • D 4
6 If 3x = 15, what is the value of x?
  • A 5
  • B 12
  • C 45
  • D 3
7 What is the result when evaluating 2x + 5 if x = 3?
  • A 10
  • B 11
  • C 13
  • D 16
8 Which of the following is an example of an algebraic equation?
  • A 3x + 2
  • B 5y - 1 = 10
  • C 2a + 4b
  • D x + 7
9 What is the inverse operation needed to solve x - 8 = 10?
  • A Addition
  • B Subtraction
  • C Multiplication
  • D Division
10 If p = 4, what is the value of 3p + 2?
  • A 9
  • B 12
  • C 14
  • D 24
11 Which term describes a letter used to represent an unknown number?
  • A Constant
  • B Coefficient
  • C Variable
  • D Operator
12 What is the value of y in the equation y / 2 = 6?
  • A 3
  • B 4
  • C 8
  • D 12
13 Simplify the expression 2x + 3x.
  • A 5x
  • B 6x
  • C 5x^2
  • D x
14 What is the value of 'a' if 2a + 1 = 9?
  • A 3
  • B 4
  • C 5
  • D 8
15 In the expression 7b, what does the letter 'b' represent?
  • A Coefficient
  • B Constant
  • C Variable
  • D Exponent
16 Which expression represents 'half of a number x'?
  • A x + 2
  • B x - 2
  • C 2x
  • D x / 2
17 Evaluate 10 - x when x = 4.
  • A 14
  • B 6
  • C 40
  • D 2.5
18 What is the result of 5m if m = 0?
  • A 5
  • B 1
  • C 0
  • D 50
19 Solve for x: x + 15 = 20.
  • A 5
  • B 35
  • C 1.33
  • D 300
20 Which mathematical operation is implied in the term '8y'?
  • A Addition
  • B Subtraction
  • C Multiplication
  • D Division
21 If x = 2 and y = 3, what is the value of x + y?
  • A 5
  • B 6
  • C 23
  • D 1
22 Identify the coefficient in the expression 9k - 2.
  • A 9
  • B k
  • C -2
  • D 2
23 Solve 4x = 20.
  • A 80
  • B 16
  • C 5
  • D 24
24 Which expression means 'the difference between 10 and m'?
  • A 10 + m
  • B 10m
  • C 10 / m
  • D 10 - m
25 What is the value of 2x^2 when x = 3?
  • A 12
  • B 18
  • C 36
  • D 6
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