Solving Multistep Equations

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Presentation transcript:

Solving Multistep Equations

Distributive Property Check! - 5(x - 4) = -10 5(x - 4) = -10 + 5(2 - 4) = -10 5x - 20 = -10 + 20 + 20 5(-2) = -10 5x = 10 5x = 10 5 5 -10 = -10  x = 2

Distributive Property Check! - -3(x - 5) = 12 -3(x - 5) = 12 + -3(1 - 5) = 12 -3x + 15 = 12 - 15 -15 -3(-4) = 12 -3x = -3 -3x = -3 -3 -3 12 = 12  x = 1

Equations – Combine Like Terms 3x - 5 + 2x = 5 CHECK! 5x - 5 = 5 / 3x - 5 + 2x = 5 +5 +5 / 3(2) - 5 + 2(2) = 5 5x = 10 / 5 5 / 6 - 5 + 4 = 5 x = 2 5 = 5 

Equations – Combine Like Terms - 4x + 2 - 6x = -4 + CHECK! -2x +2 = -4 / 4x + 2 - 6x = -4 / -2 -2 4(3) + 2 - 6(3) = -4 -2x = -6 / / -2 -2 12 + 2 - 18 = -4 x = 3 -4 = -4 

Equations – Combine Like Terms CHECK! - - -5x +2 - 7x - 5 = 21 + + / -12x -3 = 21 -5x + 2 - 7x - 5 = 21 +3 +3 / -5(-2) + 2 - 7(-2) - 5 = 21 -12x = 24 / / -12 -12 10 + 2 + 14 - 5 = 21 x = -2 21 = 21 

Equations – Variables on both sides Solve. Check. 10a 10a = 7a + 21 10a = 7a+ 21 7a - 7a - 7a 10(7) = 7(7)+ 21 3a = 21 70 = 49 + 21 3 3 70 = 70  7 a =

Equations – Variables on both sides Solve. Check. 12x 12x = 7x 7x + 45 12x = 7x + 45 -7x - 7x 12(9) = 7(9)+ 45 5x = 45 108 = 63 + 45 5 5 108 = 108  x = 9

Equations – Variables on both sides Solve. Check. 4x + 4 4x - 2 = 2x + 4 4x - 2 = 2x 2x -2x -2x 4(3)- 2 = 2(3)+ 4 - 2 = 4 2x 12 - 2 = 6 + 4 +2 +2 2x = 6 10 = 10  2 2 x = 3

Equations – Variables on both sides 8x + 2 (3x + 5) = 7x + 10 8x + 8x 6x 6x + 10 = 7x + 10 7x 7x 14x 14x + 10 = + 10 -7x -7x 7x + 10 = + 10 - 10 - 10 7x = 7 7 x = 0

Check 8x + 2 (3x + 5) = 7x + 10 8(0) + 2[3(0) + 5] = 7(0) + 10 0 + 2[ 0 + 5] = 0 + 10 0 + 2[ 5] = 10 0 + 10 = 10 10 = 10 