Mastering Algebraic Notation
Mathematics
GCSE Foundation
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A worksheet covering Algebraic Notation for GCSE Foundation students.
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Mastering Algebraic Notation
Subject: MathematicsGrade: GCSE Foundation
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Untitled Worksheet
Grade GCSE Foundation
A
Introduction
Review the basic symbols and notation used in algebra, including variables, coefficients, and algebraic expressions. Remember that algebraic expressions combine numbers, variables, and operation symbols.
B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Express the following verbally: 'Three times a number plus five'. Write this as an algebraic expression.
[2 marks]2.
Simplify the expression: 4a + 2a - a.
[2 marks]3.
Write the algebraic expression for 'The sum of twice a number and seven'.
[2 marks]4.
If x = 3, evaluate the expression 2x^2 + 4.
[3 marks]5.
Rewrite the expression 5(a + 2) in expanded form.
[2 marks]6.
Solve for x: 3x - 4 = 11.
[3 marks]7.
If 2x + 3 = 11, what is the value of x?
[2 marks]8.
Express the algebraic expression for 'Five less than twice a number'.
[2 marks]9.
Identify the coefficient and the constant in the expression 7x + 4.
[2 marks]10.
The total cost in dollars of x items at y dollars each is expressed as xy. Write an expression for the total cost if you buy 5 items at y dollars each.
[2 marks]11.
Challenge: A rectangle's length is 3 times its width. Write an algebraic expression for the perimeter of the rectangle in terms of its width x.
[4 marks]12.
Real-world application: A car rental company charges a fixed fee plus a rate per mile. If the total cost C (in dollars) for x miles is expressed as C = 50 + 0.2x, what is the cost for 150 miles?
[4 marks]Quick Actions
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- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet