Unit 4 Quiz Review Chapter 6 Lessons 1-5

6-4 Solving 2-step equations STEPS: * Upside down T 1. Add or subtract on both sides 2. Multiply or divide on both sides 3. Answer: variable = # 4. Check answer back in original equation

Exs—Solve and check. 1.) 𝑥 4 ̶ 6 = -14 2.) - 1 7 𝑏 + 5 = -2

Writing 2-step equations from word problems: Variable is going to be multiplied or divided by a number Another number is going to be added or subtracted Total amount or ending amount goes after = sign *Use key words in problem to set up equation correctly!

Exs—Write an equation and solve. You have saved $410 to buy a CD player and some CDs. If the player you want costs $275 and the CDs cost $15 each, how many CDs can you buy?

Exs—Write an equation and solve. Membership at the Healthy You Gym is a $40 initial fee and $5 a visit. If Sanjaya’s bill was $105, how many times had he visited the gym?

6-3 If the coefficient is a decimal, divide each side by the decimal If the coefficient is a fraction, multiply both sides by the reciprocal

Exs: Solve and check. 1.) -2.5b = 20.5 2.) 2 3 x= 6 15

6-2 Multiplication and Division Equations STEPS: 1.) Upside down T 2.) Do the opposite of what is happening to the variable on both sides 3.) Answer: variable = # 4.) Check answer into original equation

6-1 Addition and Subtraction Equations SAME STEPS! GOAL= GET VARIABLE ALONE!

One-step equation word problems: Look for key words to know what operation to use! Variable should not be alone in original equation!

Exs: Write an equation and solve. Each student needs 12 minutes to give a report. A class period is 48 minutes long. Write and solve an equation to determine the number of students who could give a report in one class period.

Exs: Write an equation and solve. You went to the mall and bought a sweater, a pair of shoes, and a backpack for your sister. Your sister told you she would pay you if you told her how much the backpack was. You weren’t sure about the price of the backpack, but you did know that the sweater was $35 and the pair of shoes was $72. If the total cost was $133, how much was the backpack?

Exs: Solve and check. 1.) -4y = -60 2.) 𝑥 −9 = -9

Exs: Solve and check. 1.) -12 = c + 5 2.) a ̶ 6 = -7