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Algebra Fundamentals for Pre-Teens

Algebra

Core concepts of algebraic expressions, variables, and equations tailored for students aged 9-12.

mathematics variables equations pre-algebra
25 Questions Medium Ages 9+ Aug 8, 2026

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About this Study Set

This study set covers Algebra through 25 practice questions. Core concepts of algebraic expressions, variables, and equations tailored for students aged 9-12. 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 Algebra Fundamentals for Pre-Teens study set below. Each question shows the correct answer — select a study format above to practice interactively.

1 In the algebraic expression 3x + 5, what is the term 'x' called?
  • A Coefficient
  • B Variable
  • C Constant
  • D Operator
2 Which mathematical operation is represented when a number is placed directly next to a variable, such as 4y?
  • A Addition
  • B Subtraction
  • C Multiplication
  • D Division
3 In the expression 7n - 2, what is the number 2 known as?
  • A Constant
  • B Variable
  • C Exponent
  • D Coefficient
4 If 2x = 10, what is the value of x?
  • A 2
  • B 4
  • C 5
  • D 20
5 What is the first step in solving for x in the equation x + 8 = 15?
  • A Add 8 to both sides
  • B Subtract 8 from both sides
  • C Multiply by 8
  • D Divide by 15
6 What does an equals sign (=) represent in an algebraic equation?
  • A The end of a problem
  • B A balanced relationship
  • C A suggestion to add
  • D A variable definition
7 In the expression 5a, what is the number 5 called?
  • A Sum
  • B Product
  • C Coefficient
  • D Base
8 If x - 4 = 10, what is the value of x?
  • A 6
  • B 14
  • C 40
  • D 2.5
9 Which of these represents 'three times a number y'?
  • A 3 + y
  • B y / 3
  • C 3y
  • D y^3
10 If y/3 = 4, what is the value of y?
  • A 1
  • B 7
  • C 12
  • D 64
11 What is the value of 2x + 3 when x = 4?
  • A 11
  • B 14
  • C 18
  • D 24
12 In algebra, what do we call a symbol (usually a letter) that stands for an unknown number?
  • A Constant
  • B Variable
  • C Factor
  • D Integer
13 Which expression represents 'five less than a number n'?
  • A 5 - n
  • B n - 5
  • C n / 5
  • D 5n
14 If 3x = 12, what is the value of x?
  • A 3
  • B 4
  • C 9
  • D 36
15 What is the value of 10 - x when x = 3?
  • A 13
  • B 7
  • C 30
  • D 2
16 How is 'the sum of x and 7' written algebraically?
  • A 7x
  • B x + 7
  • C x - 7
  • D 7 / x
17 If 2x + 1 = 9, what is the value of x?
  • A 3
  • B 4
  • C 5
  • D 8
18 What is the result of 4x when x = 5?
  • A 9
  • B 20
  • C 1
  • D 45
19 Which of the following is an example of an algebraic equation?
  • A 5 + 2
  • B x + 3 = 10
  • C 4y
  • D 8 > 2
20 If a = 2 and b = 3, what is the value of a + b?
  • A 5
  • B 6
  • C 23
  • D 1
21 What is the value of 3x - 2 when x = 5?
  • A 10
  • B 13
  • C 15
  • D 17
22 If x / 2 = 5, what is the value of x?
  • A 2.5
  • B 7
  • C 10
  • D 20
23 In the expression 4x + 9, what is the coefficient?
  • A 4
  • B x
  • C 9
  • D 13
24 If 6 = x - 2, what is the value of x?
  • A 3
  • B 4
  • C 8
  • D 12
25 What does the term 'evaluate' mean in algebra?
  • A To simplify the equation
  • B To find the numerical value
  • C To write a new equation
  • D To guess the variable
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