G8

Copyright © Swun MathCopyright © Swun Math Grade 8 Unit 4 Lesson 4 P TE^

Input/Model

(Teacher Presents)

Directions: Solve and check.

1. 3x + 5 = 38

Solution: 3 푥푥+ 5 = 38

− 5 − 5

3x = 33

3푥푥 3 =^333

x = 11

Answer: x = 11

Check: 3 · 11 + 5 = 38

33 + 5 = 38

38 = 38 ✓

2. 11x ─ 9x + 2 ─2 =10

Solution:

Collect like terms: 11x ─ 9x + 2 ─2 =10

2x + 2 ─ 2 =10

Simplify: 2─2 = 0, so 2x = 10

Divide each side by 2: x = 5

Answer: x = 5

Check: 11(5) ─ 9(5) + 2 ─2 =10

55 ─ 45 + 2 – 2 =10

10=10 ✓

3. 6 =

푚푚

7 −^3

Solution:

Add 3 to each side to isolate the variable: 3 + 6 = (푚푚 7 ) ─3 + 3

9= (푚푚 7 )

Multiply each side by 7: 9(7)= (푚푚 7 )7

Answer: 63=m

Check: 6 =(^637 )─ 3

6 =9─ 3

6=6 ✓