1 / 10

EXAMPLE 3

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

chance
Download Presentation

EXAMPLE 3

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

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

  2. 7(9) + 13 9(9) – 5 63 + 13 81 – 5 ? ? = = EXAMPLE 3 Standardized Test Practice CHECK 7p+ 13 = 9p– 5 Write original equation. Substitute 9 for p. Multiply. 76 = 76 Solution checks.

  3. x = 2 2 ANSWER The solution 5 5 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 10xto each side. 25x = 10 Add 24 to each side. Divide each side by 25 and simplify.

  4. 3(5 – 8) –2(– + 7) – 12 24 3(–6) –14 – 5 4 5 Substitute for x. 2 2 2 5 5 5 2 ? ? = = 5 EXAMPLE 4 Solve an equation using the distributive property CHECK Simplify. – 18 = – 18 Solution checks.

  5. 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? STEP 1 Write a verbal model. Then write an equation. EXAMPLE 5 Solve a work problem SOLUTION

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

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

  8. ANSWER ANSWER ANSWER The correct answer is 4. The correct answer is 1. The solution is –7. for Examples 3, 4, and 5 GUIDED PRACTICE Solve the equation. Check your solution. 5. –2x + 9 = 2x – 7 6. 10 – x = –6x + 15 7. 3(x + 2) = 5(x + 4)

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

  10. 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. 1 5 10. x + = x – 2 6 2 3 It will take 36 minutes to wash 7 cars if you work together. ANSWER ANSWER The correct answer is 4 for Examples 3, 4, and 5 GUIDED PRACTICE Solve the equation. Check your solution.

More Related