Mastering Algebraic Notation

Mathematics
Grade 8
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A worksheet covering Algebraic Notation for Grade 8 students.

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Mastering Algebraic Notation

Subject: MathematicsGrade: Grade 8
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Date:

Untitled Worksheet

Grade Grade 8
A

Introduction

Review the basic algebraic notation, including variables, coefficients, and expressions. Remember that an expression like 3x + 5 represents three times a number plus five.
B

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
Write the algebraic expression for 'five more than twice a number'.
[2 marks]
2.
Simplify the expression: 3a + 4a - 2a.
[2 marks]
3.
If x = 4, evaluate the expression: 2x + 3.
[2 marks]
4.
Express the statement 'three less than y' as an algebraic expression.
[2 marks]
5.
Simplify: 6b - 2b + 4.
[2 marks]
6.
Calculate the value of 5x - 2 when x = 3.
[2 marks]
7.
Write an expression for 'a number decreased by 7'.
[2 marks]
8.
If y = 10, evaluate 3y + 2.
[2 marks]
9.
Express 'twice a number minus four' as an algebraic expression.
[2 marks]
10.
Solve for x: 4x + 6 = 22.
[3 marks]
11.
The sum of a number and 8 is 15. Write and solve the equation.
[3 marks]
12.
A rectangle has a length of 'x' and a width of 'x + 3'. Write an expression for its perimeter.
[3 marks]
13.
A person is thinking of a number. When they double it and subtract 5, the result is 13. Write and solve the equation.
[3 marks]

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Details

Created
12/30/2025
Updated
12/30/2025
Type
worksheet