SOLVING TWO-STEP EQUATIONS#41

Solve each equation.

1: Solving Two-Step Equations

18 + 3x = 30

Undo operations in the reverse of the Order of Operations. First undo addition or subtraction. Then undo multiplication or division.

Helpful Hint

Example 2: Solving Two-Step Equations

– 2 = 1Solve. Check the answer.

x3

Example 3: Solving Two-Step Equations

= 6

Solve. Check the answer. x + 19

4

Example 4

7 x – 5 = 23Solve each equation .

Example 5 Solve each equation .

x – 16 = 93

Example 6

= 49

Solve. Check the answer. x - 910

Nancy saved $87 of the money she made babysitting. She wants to buy CDs that cost $15 each, along with a set of headphones that costs $12. How many CDs can she buy?

Example 7: Consumer Math Application

Example 8Kaia earned $425 last week. She wants to put $350 in the bank and buy some DVDs. Each DVD costs $25. Write a two-step equation to represent the situation. Then solve the equation. How many DVDs can she buy?

Example 9: Working Backward with Function Rules

The rule for a certain function is to multiply the input by 5 and subtract 4. Find the input value when the output is 11.

Example 10 The rule for a certain function is to multiply the input by 2 and subtract 8. Find the input value when the output is 3.