Lessons Grade 7

Chapter 11

Chapter 11: Linear Equations

11.1 Introduction to Linear Equations

A linear equation is an equation where the highest power of the variable is 1. It has the general form:

ax+b=0ax + b = 0ax+b=0

Where aaa and bbb are constants and xxx is the variable.

11.2 Solving Linear Equations

To solve a linear equation, isolate the variable on one side of the equation.

Example: 2x+3=112x + 3 = 112x+3=11

Subtract 3 from both sides:

2x=82x = 82x=8

Divide both sides by 2:

x=4x = 4x=4Exercises

Exercise 1: Solve the following linear equations:

3x+5=143x + 5 = 143x+5=14

2y−7=92y - 7 = 92y−7=9

4a+6=184a + 6 = 184a+6=18

5b−10=205b - 10 = 205b−10=20

7x+12=367x + 12 = 367x+12=36

Exercise 2: Solve for the unknown variable:

6x−4=166x - 4 = 166x−4=16

8y+2=348y + 2 = 348y+2=34

3z+5=203z + 5 = 203z+5=20

2m−8=122m - 8 = 122m−8=12

4n+9=254n + 9 = 254n+9=25 I know that it's hard at the first try but when you understand it you will find it very very very easy

Eslam Assem

Thank you. I hope you enjoy it.

To be continued

if you didin't try you will not be able to solve anything in this lesson do ok. Thanks.