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Linear Equations - 11 + Exam Questions & Answers

Question 14(14(i),14(ii)) - Bancroft’s School – Sample 11+ Maths Paper (ii) 2016
1:30

Topics Covered:

Question 7(a,b,c)
2:30

Topics Covered:

Linear Equations for the 11 Plus Exams

1. What are Linear Equations?

A linear equation is an equation that contains variables that have an exponent that is no higher than one. 

Example: y = 3; x + 3 = 5; 2x + 5 = 9

2. How to solve Linear Equations?

  •  Equations have an equals sign in them to show that the values on the left-hand side are equal to the values on the right-hand side. 
  •  One can solve Linear equations by finding the value of the variable.
  • First remove parts of the equation until the variable is left on its own on one side of the equal to sign. 
  • To remove part of an equation, perform the opposite operation to both sides of the equation. 

2.1  Example Questions on Linear Equations.

Example 1: Solve the equation x + 2 = 8.

Solution:

11+ Topicwise Linear Equations Article Image 01

Example 2:

Solve the equation 5a + 6 = 16

Solution:

11+ Topicwise Linear Equations Article Image 02

Example 3: 

Solve the equation 6(x + 2) = 10x - 8

Solution:

11+ Topicwise Linear Equations Article Image 03

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