Warm Up Solve each equation 1. 2x + 4 = 14 2. 4 – 2x = 14.

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Presentation transcript:

Warm Up Solve each equation 1. 2x + 4 = 14 2. 4 – 2x = 14

Topic: Solving Multi-Step Equations Objective: I will learn to solve Multi-step Equations involving like Terms and parentheses Standard: 8.EE.7 Question / Key Words Notes or Solutions to Problems

Solve 1) 2x – 4 = -18 2x – 4 = -18 +4 +4 2x = -14 2 2 x = -7 Question / Key Words Notes or Solutions to Problems Solve 1) 2x – 4 = -18 2x – 4 = -18 +4 +4 1 2x = -14 2 2 x = -7

Solve 1 1 2) x + 8 = -20 x + 8 = -20 2 2 –8 –8 1 (2) x = -28 (2) 2 x = Question / Key Words Notes or Solutions to Problems Solve 1 1 2) x + 8 = -20 x + 8 = -20 2 2 –8 –8 1 1 (2) x = -28 (2) 2 x = -56

Solve 3) 3 – 4a = 19 3 – 4a = 19 –3 –3 -4a = 16 -4 -4 a = -4 Question / Key Words Notes or Solutions to Problems Solve 3) 3 – 4a = 19 3 – 4a = 19 –3 –3 1 -4a = 16 -4 -4 a = -4

Solve 8x + 16 – 5x = -29 3x + 16 = -29 –16 –16 3x = -45 3 3 x = -15 4) Question / Key Words Notes or Solutions to Problems Solve 4) 8x +16 – 5x = -29 8x + 16 – 5x = -29 3x + 16 = -29 –16 –16 1 3x = -45 3 3 x = -15

Solve 35 = 7y +13y – 5 35 = 20y – 5 +5 +5 40 = 20y 20 20 2 = y 5) Question / Key Words Notes or Solutions to Problems Solve 5) 35 = 7y + 13y – 5 35 = 7y +13y – 5 35 = 20y – 5 +5 +5 1 40 = 20y 20 20 2 = y

6) Solve -2(3 – k)= 30 – 2(3 – k) = 30 – 6 + 2k = 30 +6 +6 2k = 36 2 2 Question / Key Words Notes or Solutions to Problems Solve 6) -2(3 – k)= 30 – 2(3 – k) = 30 Remove ( ) by Distributive Property – 6 + 2k = 30 +6 +6 1 2k = 36 2 2 k = 18

Solve 9x – 5(x + 6) = -14 9x – 5x – 30 = -14 4x – 30 = -14 +30 +30 4x Question / Key Words Notes or Solutions to Problems Solve 7) 9x – 5(x + 6) = -14 9x – 5(x + 6) = -14 9x – 5x – 30 = -14 4x – 30 = -14 +30 +30 1 4x = 16 4 4 x = 4

Solve -38 = 4(n – 2) + 2n -38 = 4n – 8 + 2n -38 = 6n – 8 +8 +8 -30 = Question / Key Words Notes or Solutions to Problems Solve 8) -38 = 4(n – 2) + 2n -38 = 4(n – 2) + 2n -38 = 4n – 8 + 2n -38 = 6n – 8 +8 +8 1 -30 = 6n 6 6 -5 = n

( ) ( ) ( ) Solve = 32 = x + 7 –7 –7 25 = x 9) 24 = (x + 7) 24 (x + 7) Question / Key Words Notes or Solutions to Problems Solve 1 1 ( ) 8 ( ) ( ) 9) 4 3 24 = 3 4 (x + 7) 24 = 4 3 3 4 (x + 7) 1 32 = x + 7 –7 –7 25 = x

( ) ( ) ( ) Solve = j + 23 = 20 –23 –23 j = -3 10) (j + 23) (j + 23) = Question / Key Words Notes or Solutions to Problems Solve 1 1 ( ) ( ) 4 ( ) 10) 5 2 2 5 (j + 23) 2 5 (j + 23) = 8 = 8 5 2 1 j + 23 = 20 –23 –23 j = -3

( ) ( ) ( ) - - - - Solve = -36 = g + 2 –2 –2 -38 = g 9) 12 = (g + 2) Question / Key Words Notes or Solutions to Problems Solve 1 1 ( ) - ( ) ( ) 9) 3 1 12 = - 1 3 (g + 2) 12 = - 3 1 - 1 3 (g + 2) -36 = g + 2 –2 –2 -38 = g