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

2. 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

3. 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 1 2x =
-14 x = -7

4. 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 1 1
(2) x =
-28
(2) 2 x =
-56

5. 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 1
-4a = 16 a = -4

6. 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 x =
-15

7. 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 1 40 =
20y 2 = y

8. 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 1 2k = 36 k = 18

9. 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 1 4x = 16 x = 4

10. 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 1
-30 = 6n -5 = n

11. ( ) ( ) ( ) 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 25 = x

12. ( ) ( ) ( ) 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

13. ( ) ( ) ( ) - - - - 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
-38 = g