G8

(Amit KumaranZ9-e) #1

Copyright © Copyright © Swun MathSwun Math (^) Grade 8 Unit 4 Lesson 2 P TE


Homework


Unit 4 · Lesson 2: One-Step Equations


Example # 1 Example # 2

Directions: Identify an inverse operation to use. Solve and check your solution.

푥푥+ 3 = 10


Solution:


  • Identify operation in the equation: ADDITION

  • Identify inverse operation needed to solve:
    SUBTRACTION
    푥푥+ 3 = 10
    − 3 − 3
    푥푥= 7


Answer: 푥푥= 7
Check. 7 + 3 = 10
10 = 10 ✓

− 3 푚푚= 15


Solution:


  • Identify operation in equation: MULTIPLICATION

  • Identify inverse operation needed to solve: DIVISION

  • Apply the multiplicative inverse of –3: divide by –3 or
    multiply by −^13.
    − 3 푚푚
    − 3 =


15
− 3
푚푚= − 5

Answer: 푚푚= − 5
Check: −3 • −5 = 15
15 = 15 ✓

Example # 3
푥푥
3

=− 9


Solution:


  • Identify operation in equation: DIVISION

  • Identify inverse operation needed to solve: MULTIPLICATION

  • Apply the multiplicative inverse of^13 : multiply by 3.
    3 •


푥푥
3 =−9 •^3 →•푥푥 =−9 •^3
푥푥= −9 • 3

Answer: 푥푥= − 27
Check: −27 3 =− 9
−9 = − 9 ✓
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