1 / 5

Writing and Solving a Two-Step Equation

4 n + ( – 6) = 14. 20. 4 n. =. 4. 4. ANSWER. The number is 5. EXAMPLE 2. Writing and Solving a Two-Step Equation. The sum of 4 times a number plus –6 is 14 . What is the number?. 4 times a number and – 6 is 14. Write a verbal model. Translate. 4 n – 6 = 14.

kylene
Download Presentation

Writing and Solving a Two-Step Equation

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. 4 n + (–6) = 14 20 4n = 4 4 ANSWER The number is 5. EXAMPLE 2 Writing and Solving a Two-Step Equation The sum of 4 times a number plus –6 is 14. What is the number? 4 times a number and –6 is 14. Write a verbal model. Translate. 4n – 6 = 14 Write equation. 4n – 6 + 6 = 14 + 6 Add 6 to each side. 4n = 20 Simplify. Divide each side by 4. n = 5 Simplify.

  2. EXAMPLE 3 Writing and Solving a Two-Step Equation Reading You want to find how many pages you need to read per week in order to finish several books in six weeks. The books have a total of 1244 pages. You have already read 500 pages. How many pages do you have to read per week?

  3. Let pbe the number of pages to read per week. 744 = 6p 6 6 ANSWER You have to read 124 pages per week. EXAMPLE 3 Writing and Solving a Two-Step Equation SOLUTION 1244 = 6p+ 500 Write an algebraic model. 1244 – 500 = 6p + 500 – 500 Subtract 500 from each side. 744 = 6p Simplify. Divide each side by 6 124 = p Simplify.

  4. ANSWER The number is 1. for Examples 2 and 3 GUIDED PRACTICE 2.The difference of six times a number and 9 is -3. What is the number?

  5. ANSWER You have to read 106 pages per week for Examples 2 and 3 GUIDED PRACTICE 3.What If? Suppose in Example 3 that you have read 714 pages and have five weeks left. How many pages do you have to read per week?

More Related