1. EXAMPLE 2 Solving Equations with Decimals Original equation a. y – 1.537 = 6.48 6.48 + 1.537= y – 1.537 + 1.537 8.017 y = Add 1.537 to each side. Simplify. b.x + (– 0.34)4.27 = Original equation = x + (– 0.34) + 0.34 4.27 + 0.34 Add 0.34 to each side. 4.61 x = Simplify.

2. EXAMPLE 3 Using Front-End Estimation SOLUTION Use front-end estimation. Theater You want to estimate the cost of supplies for a play. Is the cost of the items shown (excluding tax) more or less than your $ 50 budget?

3. EXAMPLE 3 Using Front-End Estimation $16.77 $18.97 $9.49 $48$48 $3.49 $2.19 STEP 1 Add the front end-digits: the dollars

4. EXAMPLE 3 Using Front-End Estimation STEP 2 Estimate the sum of the remaining digits: the cents $18.97 $9.49 $48 $3.49 $2.19 $16.77$ 1 $ 3

5. EXAMPLE 3 Using Front-End Estimation The cost of the items is more than your $ 50 budget. ANSWER $48 $3 $51 STEP 3 Add the results.

6. GUIDED PRACTICE for Examples 2 and 3 2.557. = x + 1. 38 1. 17 x = Solve the equation.

7. GUIDED PRACTICE for Examples 2 and 3 21.59 z = Solve the equation. 16.29z – 5.3 = 8.

8. GUIDED PRACTICE for Examples 2 and 3 – 0.35 y = Solve the equation. y – (– 0.83) 0.48= 9.

9. GUIDED PRACTICE for Examples 2 and 3 10. Use front-end estimation to estimate the sum $1.95 + $7.49 + $3.50 $13 SOLUTION