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Foundations of Algebra

Mathematics

Core concepts of algebraic expressions, variables, and basic equation solving for middle schoolers.

algebra math education

15 Questions Medium Ages 9+ Aug 6, 2026

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About this Study Set

This study set covers Mathematics through 15 practice questions. Core concepts of algebraic expressions, variables, and basic equation solving for middle schoolers. 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 Foundations of Algebra study set below. Each question shows the correct answer — select a study format above to practice interactively.

1 What is the mathematical term for a letter that represents an unknown number in an expression?

A Coefficient
B Variable
C Constant
D Exponent

2 In the expression 5x + 3, what is the number 5 called?

A Variable
B Constant
C Coefficient
D Operator

3 If 2y = 10, what is the value of y?

A 5
B 8
C 12
D 20

4 Which operation should be performed first when solving 4 + (x * 2)?

A Addition
B Subtraction
C Multiplication
D Division

5 What is the value of x in the equation x - 7 = 13?

A 6
B 10
C 20
D 91

6 An algebraic expression that has no variables is known as what?

A Equation
B Constant
C Term
D Inequality

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

A 12
B 14
C 18
D 24

8 What is the result of simplifying 2a + 3a?

A 5a²
B 6a
C 5a
D a⁵

9 Which symbol is typically used to represent the operation of multiplication in algebra?

A x
B ÷
C +
D -

10 In the expression x / 4 = 5, what is the value of x?

A 1
B 9
C 1.25
D 20

11 What do we call a mathematical statement that shows two expressions are equal?

A Expression
B Variable
C Equation
D Coefficient

12 If x + 5 = 15, which step isolates the variable x?

A Add 5 to both sides
B Subtract 5 from both sides
C Multiply by 5
D Divide by 5

13 What is the value of n if 3n = 27?

A 9
B 24
C 30
D 81

14 Which of these is an example of an algebraic expression?

A 5 + 2 = 7
B 10 > 5
C 3x + 1
D x = 10

15 If a = 2 and b = 3, what is the value of a + b?

A 23
B 6
C 5
D 1

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