Name: ___________
Group: __________
Solving Algebraic Equations 1. Definition: An additive inverse is:
Part A. Directions: Find the additive inverses below in each equation. Put a around the number we are finding the additive inverse of. a. x + 10 = 33 , AI: _____
c. 44 + x = 60, AI: _____
b. x – 5 = 4, AI: _____
d. x + (-5) = 4, AI: _____
2. Definition: A multiplicative inverse is:
Part B: Directions: Find the multiplicative inverses below in each equation. Put a around the number we are finding the multiplicative inverse of. a. 4x = 40, MI: _____ b. 3x = 81, MI: _____
c. 9x = 540, MI: _____ d. 11x = 1210, MI: _____
Part C: Find the multiplicative AND additive inverses below in each equation. Put a or around the appropriate inverse. a. 4x + 10 = 40, AI: _____, MI: ______ b. 3x + 89 = 136, AI: _____, MI: ______ c. 4x + 120 = 360, AI: _____, MI: ______
Quick Write: Answer below using COMPLETE sentences. Is what we are doing making sense? Why or why not? What is confusing? What is helpful? Explain in DETAIL!
Part D: Directions: We are going to use what we’ve learned in
this sheet to solve one-step and two step equations using our tablemates. a. x + 5 = 8 x+5
AI: ____ MI: ____
8
x = ______
b. 3x + 3 = 6
AI: ____ MI: ____
x = ______