Mastering Substitution
Mathematics
GCSE Higher
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A worksheet covering Substitution for GCSE Higher students.
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Mastering Substitution
Subject: MathematicsGrade: GCSE Higher
Name:
Date:
Untitled Worksheet
Grade GCSE Higher
A
Introduction
Review the key concept: substituting a value for a variable in algebraic expressions. Remember to replace the variable with the given number and simplify.
B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Evaluate the expression 3x + 5 when x = 4.
[2 marks]2.
Calculate the value of y = 2x^2 + 3 when x = -2.
[3 marks]3.
Find the value of 4a - 3 when a = 7.
[2 marks]4.
Evaluate 5x - 2y when x = 3 and y = 4.
[3 marks]5.
Simplify the expression 2(m + n) when m = 2 and n = 5.
[2 marks]6.
Calculate the value of 7k + 4 when k = -1.
[2 marks]7.
Given the expression z = 3x - y, find z when x = 5 and y = 2.
[3 marks]8.
Evaluate the expression 2a^2 + 4a when a = -3.
[3 marks]9.
If p = 2 and q = -1, compute the value of 4p - 3q.
[2 marks]10.
A rectangle's length is given by L = 2x + 3, and width by W = x - 1. Find the area when x = 5.
[4 marks]11.
Challenge: A car travels a distance d = 60t + 10t^2, where t is time in hours. Find the distance traveled when t = 3 hours.
[4 marks]12.
Real-world: A company's profit P in thousands of pounds is given by P = 5x - 20, where x is the number of units sold in hundreds. Find profit when 150 units are sold.
[4 marks]Quick Actions
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- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
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