Name________________________________________________ Date___________________

Solving One and Two-Step Equations

Everybody Writes: In your own words,

1. what is the difference between the following?

a. 5𝑥 = 15 b. 2𝑥 − 3 = 9

2. When solving an equation for a variable, how do you keep the equation balanced?

3. What is an inverse operation?

Goal:_______________________________________________________________________

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(PART 1) Solve each of the following for the given variable:

1. 3𝑥 = −9 2. 𝑎

4= 12 3. 𝑝 + 4 = 8 4. 𝑦 − 9 = −12

5. 𝑐 − 8 = 5 6. −5𝑥 = 20 7. 𝑥

6= 3 8. 𝑣 + 6 = −9

Solving Two Step Equations

5𝑥 + 3 = 8 5𝑥 + 3 = 8

Solve each equation. Check your answer.

CHECK

1. 6 + 3b = –18

2. 7n + 12 = –23

3. 12 8

2f

− = +

4. 6 24k + = −

5. 16 – 3p = 34

6. 19 83c− + =

7. 9 63y

− + = −−

8. –3 + 5x = 12

9. 3 86t − =

10.

13 = 8 – 5d

11.

–22 = –8 + 7y

12. 14 2410m+ =

13. Chip earns a base salary of $500 per month as a salesman. In addition to the salary, he earns $90

per product that he sells. If his goal is to earn $5000 per month, how many products does he need

to sell?

14. A pizza shop charges $9 for a large cheese pizza. Additional toppings cost $1.25 per topping.

Heather paid $15.25 for her large pizza. How many toppings did she order?

15. The selling price of a television in a retail store is $66 less than 3 times the wholesale price.

If the selling price of a television is $899, write and solve an equation to find the wholesale

price of the television.