Module 1.1

Solving Equations

How do you solve equations in one variable?

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Justify Each Step

Step # Math Justification

Given 3x – 2 = 6

1 3x – 2 + 2 = 6 +2

2 3x = 8 Combine Like Terms

33𝑥

3= 8

3

4 x = 8

3Simplify.

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Sam is moving into a new apartment. Before he moves in, the landlord asks that he pay

the first month’s rent and a security deposit equal to 1.5 times the monthly rent. The total that Sam pays the landlord before he moves in is $3275. What is the monthly rent?

Michelle pays her cell phone service provider $49.95 per month for 500 minutes.

Any additional minutes used cost $0.15 each. In June, her phone bill is $61.20. How many additional minutes did she use?