G8

Copyright © Swun Math Grade 8 Unit 2 Lesson 11 P TE

Challenge Problems

Directions: Solve. Determine if the solution is a rational or irrational number.

1. Why is ─ 2 not a solution to z³=8?

Solution:

Answers will vary. Sample response: ─2 is not a

solution because (– 2)(– 2)(– 2) = – 8 not +8.

2. Find a solution for each equation using
   the numbers below. Each number may
   only be used once.

�= ___

�^3 = ___

Solution:

Answers will vary. Sample responses: √ 9 =3;^3 √ 64 = 4

Extension Activity

* MP1: Make sense of the problem and persevere in solving it.

* MP4: Apply mathematics in everyday life.

Solve a multi-step equation involving cubes.

2x³ = 54

3, 4, 8, 9, 27, 64