Math Nation - 7th Grade - Volume 2 of 2

Page 119

c.

Show this step to create an equivalent equation.

h.

Which properties of equality were applied to solve this equation?

i.

Cameron said the equation 5𝑥𝑥 = 31 could have been solved by applying the multiplication property of equality. What value can be used as the factor that is multiplied to both sides of the equation to isolate 𝑥𝑥?

5𝑥𝑥 − 9.6 + _______ = 21.4 + _______ _________ = _________

d.

e.

Describe the operation that could be performed to isolate the 𝑥𝑥 on the left side of the equation.

Show this step to create an equivalent equation. 5𝑥𝑥 ÷ _____ = 31 ÷ _____ 𝑥𝑥 = _______

f.

What is the coefficient of the 𝑥𝑥 after dividing both sides?

g.

Use substitution in the original equation to verify the solution. 5𝑥𝑥 − 9.6 = 21.4

Unit 10: Equations and Inequalities

115


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