x + 5 = 20 x+5 20 (-5) x + 5 = 20 x 20 (-5) x + 5 = 20.

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Presentation transcript:

x + 5 = 20

x+5 20 (-5) x + 5 = 20

x 20 (-5) x + 5 = 20

x 15 x = 15 x + 5 = 20

(-5) (-5) x = 15 Example 1: x + 5 = 20

1)x + 8 = 122) a + 12 = 30 3)5 + x = 134)b + 7 = 42 (-8) x = 4 (-12) a = 18 (-5) x = 8 (-7) (-7) b = 35 Answers Exercise 1

3x + 7 = 25

3x+7 25 (-7) 3x + 7 = 25

3x 25 3x + 7 = 25 (-7)

3x 18 3x = 18 3x + 7 = 25 ?

This means 3 times x equals 18 3 times 6 equals 18 So x must be 6 x = 6 3x = 18

3x + 7 = 25 (-7) (-7) 3x = 18 Example 2: x = 6

1) 2x + 7 = 23 2) 6a + 11 = 29 3) 5 +8y = 37 4) 9 + 3d = 42 (-7) (-7) 2x = 16 x = 8 (-11) (-11) 6a = 18 a = 3 (-5) (-5) 8y = 32 y = 4 (-9) (-9) 3d = 33 d = 11 Exercise 2 Answers

5x - 6 = 44

5x-6 44 (+6) 5x - 6 = 44

5x 44 5x - 6 = 44 (+6)

5x 50 5x = 50 5x - 6 = 44

(+6) (+6) 5x = 50 Example 3: x = 10

1) 5b - 8 = 122) 7a - 9 = 33 3) 6y - 6 = 304) 9z- 7 = 20 (+8) (+8) 5b = 20 b = 4 (+9) (+9) 7a = 42 a = 6 (+6) (+6) 6y = 36 y = 6 (+7) (+7) 9z = 27 z = 3 Exercise 3 Answers

Is there a shortcut?

5x - 6 = 44 Change side, change sign - 6

5x = x = 50 x = 10 Change side, change sign

5x - 6 = 44 5x = x = 50 Example 4: x = 10

3x + 7 = 25 Change side, change sign

3x = x = 18 x = 6 Change side, change sign

3x + 7 = 25 3x = x = 18 Example 5: x = 6

1) 2a + 7 = 23 2) 7x - 9 = 33 2a = a = 16 a = 8 7x = x = 42 x = 6 Exercise 4 Answers

5x + 2 = 3x + 6

5x+2 3x+6 (-2) 5x + 2 = 3x + 6

5x (-2) 3x+6

5x 3x+4 (-3x) 5x + 2 = 3x + 6

5x 4 (-3x)

2x 4 2x = 4 5x + 2 = 3x + 6 So x = 2

Change side, change sign 5x = 3x x = 3x + 43x 5x –3x = 4 2x = 4 5x + 2 = 3x + 6 x = 2 + 2

Change side, change sign 3x = 8x 3x + 10 = 8x3x 10 = 8x – 3x 10 = 5x 3x + 6 = 8x - 4 x = Most Xs are on the right. So this time: Xs on the right, numbers on the left! 3x 8x

3x + 6 = 8x = 8x – 3x Example 6: 10 = 5x x = 2 Try two changes together!

1) 5a + 7 = 2a ) 3x + 9 = 7x a – 2a = a = 15 a = = 7x – 3x 24 = 4x x = 6 Exercise 5 Answers