Warm-Up What is the opposite of adding? What is the opposite of dividing? What is the sign of the answer when you multiply a positive and a negative? What is the sign of the answer when you divide a negative and a negative? What is the sign of the answer when you add a negative and a negative?

A.7 Section – 3.1 Solving One Step Equations Steps for Solving One & Two Step Equations 1) Line through Equal Sign 2) Isolate the variable (AKA get all the stuff away from the letter using opposite operations) Jump the equal sign means opposite operation Opposite Side = Opposite Action

Ex. 1 Ex. 2 x + 4 = 12 4 + x = –12 Ex. 3 Ex. 4 x – 4 = 12 x – 4 = –12

Ex. 5 Ex. 6 –6 + x = 17 –17 = x + (–6) x – (– 6) = 17 –17 = x – (–6)

(A.7) Section 3.1 Ex. 1 Ex. 2 15b = 75 75 = –15b Ex. 3 Ex. 4

Ex. 5 Ex. 6 Ex. 7 Ex. 8 –a = 3 –a = –3

Word Problem Practice Set up an equation and solve. 1. A number x increased by four is negative twelve. 2. Negative four times a number q is fifty-six. 3. One eighth of a number is 10. Write and solve an equation to find the number.

Word Problem Practice Set up an equation and solve. 1. Roses cost $1.50 each. If you have $15.00, how many roses can you buy? 2. A taxi can go 50 miles farther on a gallon of gas than a bus. If a taxi goes 120 miles, how many miles did the bus go?

A.7 - Quiz Answers x = -3 2. a = -35 3. y = 225

A.8 - Solving Two Step Equations Examples

Solving Two Step Equations Examples

Solving Two Step Equations Examples

Solving Equations Word Problems 1. Three quarters of a number increased by ten is negative four. Find the number.

Solving Equations Word Problems 2. A music store sells a used guitar for $120. This is $25 more than half the cost of a new guitar of the same brand. What is the cost of a new guitar?

Solving Equations Word Problems 3. Suppose you are helping to prepare a large meal. You can peel 2 carrots per minute. You need 60 carrots. How long will it take you to finish if you have already peeled 18 carrots?