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Basic Algebra Fundamentals

Basic Algebra

Test your knowledge on essential basic algebra concepts, terms, and simple equations.

algebra mathematics equations variables

12 Questions Medium Ages 9+ Oct 4, 2026

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About this Study Set

This study set covers Basic Algebra through 12 practice questions. Test your knowledge on essential basic algebra concepts, terms, 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 12 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 term is used to describe the letter x?

A Coefficient
B Variable
C Constant
D Operator

2 What is the simplified form of the algebraic expression 4a + 3b + 2a - b?

A 6a + 2b
B 6a + 4b
C 8a + 2b
D 5a + 2b

3 What value of y makes the equation y + 14 = 31 true?

A 15
B 16
C 17
D 45

4 Which mathematical operation is the inverse (opposite) of multiplication when solving an equation?

A Addition
B Subtraction
C Division
D Exponentiation

5 What is the value of the expression 3m - 4 when m = 5?

A 11
B 15
C 7
D 19

6 In the algebraic term 7k, what is the number 7 called?

A Variable
B Exponent
C Coefficient
D Constant

7 According to the distributive property, which expression is equivalent to 4(x + 5)?

A 4x + 5
B 4x + 20
C x + 20
D 20x

8 What is the solution to the equation 2x + 5 = 15?

A x = 5
B x = 10
C x = 7.5
D x = 20

9 In the algebraic expression 2p + 9, which value is a constant?

A 2
B p
C 9
D 2p

10 Which algebraic expression correctly represents the phrase '8 less than a number n'?

A 8 - n
B n - 8
C 8 / n
D n + 8

11 What is the value of k if k / 6 = 7?

A 13
B 42
C 1.16
D 36

12 On a standard Cartesian coordinate plane, what are the coordinates of the origin?

A (1, 1)
B (0, 1)
C (1, 0)
D (0, 0)

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