1 / 21

Unit 3 Study Guide

Unit 3 Study Guide. 1. What do variables represent?. Variables represent a quantity that changes or can have different values. 2. How are exponents used?. Exponents are used to tell how many times a base is used as a factor. 3. Write using exponents:. 3 4.

Download Presentation

Unit 3 Study Guide

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. Unit 3 Study Guide

  2. 1. What do variables represent? • Variables represent a quantity that changes or can have different values.

  3. 2. How are exponents used? • Exponents are used to tell how many times a base is used as a factor.

  4. 3. Write using exponents: • 34

  5. 4. Simplify: (52 – 6 * 3) + 23 • (25 – 6*3) + 23 • (25 – 18) + 23 • (7) + 23 • (7) + 8 • 15

  6. 5. Evaluate 20 + 2m for m = 8. • 20 + 2 * 8 • 20 + 16 • 36

  7. 6. Apply the distributive property to write an equivalent expression to 4(x – 7) • 4X - 28

  8. 7. Simplify: 3x + 7y + 6x2 + 4x – 2y • 6x2 + 7x + 5y

  9. 8. The cost of renting a moving truck is $29.99 plus an additional $0.29 for each mile driven. Write an expression to represent the cost of renting the truck for m miles. • 29.99 + .29m

  10. L1 x W1 + L2 x W2 • 4 * 2 + 3 * x or • 8 + 3x

  11. 10. You want to find the product of 6 and 315 on your calculator but the “3” button on your calculator is broken. Explain how you could use your calculator to find this product. • 6 (200 + 115) - one example

  12. 11. The expression 100 + 5n can be used to find the total price for n students to take a field trip to the science museum. Determine the cost for 120 students to visit the science museum. • 100 + 5n • 100 + 5*120 • 100 + 600 • $700

  13. 12. Mary works from 7:30 A.M. to 1:30 P.M. at one job and on the same day from 5:30 P.M. to 8:30 P.M. at another job. If she works n days per week, write an expression to represent the total number of hours Mary works at both jobs in one week. • n [days per week] (6 hrs at job #1 + 3 hrs at job #2) • n (6 + 3) • n(9)

  14. 13. Write the following statement as an expression: Five less than the product of 4 and x. • A. 5 – 4x • B. 4x – 5 • C. 5(4 – x) • D. 5(x – 4)

  15. 14. Danica and 3 friends order a large pizza for $9.99, an order of wings for $7.59, and n medium drinks for $0.99 each. If they split these costs evenly, which expression can be used to find the amount each girl should pay in dollars and cents, not including tax? • A. 9.99 + 7.59 + n + 0.99 ÷ 4 • B. 9.99 + 7.59 + n x 0.99 ÷ 4 • C. (9.99 + 7.59 + n x 0.99) ÷ 3 • D. (9.99 + 7.59 + n x 0.99) ÷ 4

  16. 15. Helen bought b blouses that were originally priced at $24.50 each. Each blouse was on sale for $6.50 off the original price when she bought them. Which expression can be used to find the total sale price of b blouses? • A) 24.50(b – 6.50) • B) b(24.50 – 6.50) • C) 24.50b – 6.50 • D) 24.50 – 6.50 - b

  17. 16. In the expression 5x, the 5 can be defined as a(n): • A. Coefficient • B. Expression • C. Term • D. Variable

  18. 17. The length of a rectangle is 4 times its width. If the width of the rectangle is x, which expression below represents the perimeter of the rectangle? • 10x • 8x • 5x • 4x

  19. 18. The formula C = (F-32) can be used to convert Fahrenheit temperatures to Celsius temperatures. Change 50°F to Celsius. C = (50-32) C = (18) C = C = = 10°C

  20. 19. Use the formula V = s3to find the volume of a cube with a side length of inch. x x x units3

  21. 20.The number of calories to consume per day to maintain your current weight is based on your weight, height, gender, and age. Let h represent the height in inches, a represent the age in years, and w represent the weight in pounds. The table below shows formulas that can be used to determine the number of calories needed to maintain current weight. • 66 + 6.23(180) + 12.7 (74) – 6.8(23) • 66 + 1121.4 + 939.8 - 156.4 • 1970.8 calories

More Related