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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

Chapter Review

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Exercise 14 Page 45

Use the Distributive Property twice.

No solution

Practice makes perfect

We will solve this equation by using the Distributive Property twice. Let's start by distributing the 3 to the terms inside the parentheses on the left-hand side.

3(n+4)=1/2(6n+4)

Distribute 3

3* n+3*4=1/2(6n+4)

Distribute 1/2

3* n+3*4=1/2*6n+1/2*4

MoveRightFacToNum

a/c* b = a* b/c

3* n+3*4=6n/2+4/2

Multiply

3n+12=6n/2+4/2

Calculate quotient

3n+12=3n+2

LHS-3n=RHS-3n

12≠2

Since 12 cannot be equal to 2, we have reached a contradiction. This means that there is no solution to this eqution.

Subchapter links

1 Solving Simple Equations p.44

2 Solving Multi-Step Equations p.44

3 Solving Equations with Variables on Both Sides p.45

4 Solving Absolute Value Equations p.45

5 Rewriting Equations and Formulas p.46