Grade C Linear Equations Solve linear equations with

Grade C Linear Equations Solve linear equations with one unknown on both sides and those involving brackets If you have any questions regarding these resources or come across any errors, please contact helpful-report@pixl. org. uk

Key Vocabulary Solve Linear Equations Unknown Inverse(opposite)

How to solve linear equations with one unknown on both sides 1) 11 x = 9 x + 8 - 9 x 2) 5 x + 16 = 9 x - 5 x 2 x = 8 16 = 4 x x=4 4=x ÷ 2 ÷ 4

How to solve linear equations with one unknown on both sides 3) 10 x + 6 = 6 x + 26 - 6 x 4 x + 6 = 26 -6 4 x = 20 ÷ 4 x=5 ÷ 4 -6 4) 5 x - 6 = 7 x - 10 - 5 x - 6 = 2 x - 10 + 10 4 = 2 x ÷ 2 2=x

Solve linear equations – now you try. . . 1) 2) 3) 4) 5) 5 x = 3 x + 10 x = 5 6) 2 x + 10 = 7 x + 5 x = 1 6 x = 3 x + 9 x = 3 7) 3 x - 5 = x + 10 x = 7. 5 3 x + 12 = 6 x x = 4 8) 9 x - 12 = 5 x - 4 x = 2 2 x – 20 = 7 x x = -4 9) 6 x + 6 = 36 – 4 x x = 3 5 x + 10 = 3 x + 16 x = 3 10) 10 – 3 x = 16 – 5 x x=3

How to solve linear equations with one unknown on both sides involving brackets 1) 4 (y + 7) = 6 y 4 y + 28 = 6 y - 4 y 28 = 2 y ÷ 2 14 = y 2) 6 (a + 2) = 4 (a + 5) 6 a + 12 = 4 a + 20 - 4 a 2 a + 12 = 20 2 a ÷ 2 - 12 = 8 ÷ 2 a = 4

Solve linear equations – now you try. . . 1) 2(x + 5) = 7 x + 5 2) 3(x + 3) = 6 x + 3 3) 2(x + 4) = 6 x 4) 8 y - 6 = 2(y + 9) 5) 3(a + 4) = 5 (a + 2) x=1 x=2 y=4 a=1

More Practice Solving Linear Equations a) 3(x – 3) = x + 1 b) 2(x + 6) = 6 x c) 2(3 + x) = 8 x – 3 d) 2 (a + 5) = 6 ( a – 5) e) 5 (y – 6) = 2 ( 6 + y) f) 4 b = 6(b – 2) x=5 x=3 x = 1. 5 a = 10 y = 14 b=6