G8

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

Challenge Problems

Directions: Solve.

10 [ 6. 4 + 2. 1 (푛푛− 2 )]= 10 ( 8. 5 + 3. 4 푛푛)

Solution:

10 [6.4 + 2.1(푛푛−2)] = 10 (8.5 + 3.4푛푛)

64 +21(푛푛−2) = 85 + 34 푛푛

64 + 21 푛푛− 42 = 85 + 34 푛푛

21 푛푛+ 22 = 85 + 34 푛푛

− 21 푛푛 − 21 푛푛

22 = 85 + 13 푛푛

22 = 85 + 13 푛푛

−85 – 85

− 63 = + 13 푛푛

− 63

+13

=

+13

+13

푛푛

푛푛=−63 13 표표푟푟− 4 1113

Extension Activity

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

* MP4: Apply mathematics in everyday life.

• When clearing an equation of fractions or decimals, explain what is happening to the
  numbers and variables on each side of the equation.


• Why does it work? Include what you know about properties of equality and how an
  equation is like a scale.


• Could you ever divide all terms by a common factor and create an equivalent
  equation?