Download presentation

Presentation is loading. Please wait.

1
**Standardized Test Practice**

EXAMPLE 3 Standardized Test Practice SOLUTION 7p + 13 = 9p – 5 Write original equation. 13 = 2p – 5 Subtract 7p from each side. 18 = 2p Add 5 to each side. 9 = p Divide each side by 2. ANSWER The correct answer is D

2
**Standardized Test Practice**

EXAMPLE 3 Standardized Test Practice CHECK 7p + 13 = 9p – 5 Write original equation. 7(9) (9) – 5 = ? Substitute 9 for p. – 5 = ? Multiply. 76 = 76 Solution checks.

3
**Solve an equation using the distributive property**

EXAMPLE 4 Solve an equation using the distributive property Solve 3(5x – 8) = –2(–x + 7) – 12x. 3(5x – 8) = –2(–x + 7) – 12x Write original equation. 15x – 24 = 2x – 14 – 12x Distributive property 15x – 24 = – 10x – 14 Combine like terms. 25x – 24 = –14 Add 10x to each side. 25x = 10 Add 24 to each side. x = 2 5 Divide each side by 25 and simplify. ANSWER The solution 2 5

4
**Solve an equation using the distributive property**

EXAMPLE 4 Solve an equation using the distributive property CHECK 2 5 3( – 8) –2(– ) – 12 = ? 2 5 Substitute for x. 3(–6) –14 – 4 5 = ? 24 Simplify. – 18 = – 18 Solution checks.

5
EXAMPLE 5 Solve a work problem Car Wash It takes you 8 minutes to wash a car and it takes a friend 6 minutes to wash a car. How long does it take the two of you to wash 7 cars if you work together? SOLUTION STEP 1 Write a verbal model. Then write an equation.

6
**Solve the equation for t. STEP 2 1 8 t + t = 7 6**

EXAMPLE 5 Solve a work problem Solve the equation for t. STEP 2 1 8 t t = 7 6 Write equation. 24( t t) = 24 (7) 1 8 6 Multiply each side by the LCD, 24. 3t + 4t = 168 Distributive property 7t = 168 Combine like terms. t = 24 Divide each side by 7. ANSWER It will take 24 minutes to wash 7 cars if you work together.

7
EXAMPLE 5 Solve a work problem CHECK You wash = 3 cars and your friend washes = 4 cars in 24 minutes. Together, you wash 7 cars. 1 6 8

8
GUIDED PRACTICE for Examples 3, 4, and 5 Solve the equation. Check your solution. 5. –2x + 9 = 2x – 7 ANSWER The correct answer is 4. – x = –6x + 15 ANSWER The correct answer is 1. (x + 2) = 5(x + 4) ANSWER The solution is –7.

9
GUIDED PRACTICE for Examples 3, 4, and 5 Solve the equation. Check your solution. 8. –4(2x + 5) = 2(–x – 9) – 4x ANSWER The solution x = – 1 x x = 39 1 4 2 5 9. ANSWER The correct answer is 60

10
GUIDED PRACTICE for Examples 3, 4, and 5 Solve the equation. Check your solution. x = x – 1 2 3 5 6 ANSWER The correct answer is 4 What If? In Example 5, suppose it takes you 9 minutes to wash a car and it takes your friend 12 minutes to wash a car. How long does it take the two of you to wash 7 cars if you work together? 11. ANSWER It will take 36 minutes to wash 7 cars if you work together.

Similar presentations

© 2022 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google