Chapter 3 Study Guide s2

Name______Date______Period______

Chapter 3 Study Guide

1. Plot , , and and their opposites on the number line below. (6.NS.6a: Understanding opposites of opposites, Section 3.2.1)

2. Compare the following numbers by stating if the relationship between the two numbers is <, >, or =. (2 points: 6.NS.7)

3. Complete the following using the grid at right: (6 points: 6.NS.6bc)

a) What are the coordinates of point D? (_____, _____) b) Reflect point D across y-axis and label it point E. c) What are the coordinates of point E? (_____, _____) d) What are the coordinates of point W? (_____, _____) e) Reflect point W across the x-axis and label it point X. f) What are the coordinates of point X? (_____, _____)

4. In which quadrant are the following points located? a) ( 4, -10) ______b) (-2, -4) ______c) ( 5, 9) ______5. Anita brings 6 dolls to her grandma’s house. These dolls represent 20% of Anita’s doll collection, as shown in the diagram below.

What is the total number of dolls in Anita’s doll collection?

6. A company that makes boxes finds that 3 out of 20 boxes are damaged. What percent of the boxes are damaged?

7. What is the least common multiple (LCM) of 24 and 32?

8. Which of the following have the same value?

9. Which of the scenarios reflect a positive number. Select all that apply. A. Mary has a $20 credit. B. Jessica withdrew $120 from her account. C. The temperature rose 12 degrees. D. The diver was 35 ft. below sea level. E. Erin deposited $10.

10. Answer the following questions. a) 24 is 35% of what number? ______b) 45% of 90 is what number? ______c) What percent of 450 is 325? ______

11. What is the opposite of 12? ______

12. What is the opposite of the opposite of 67? ______13. -(-(25)) = ______

14. Compare the following values using < , >, or =.

15. Mason is trying to put the numbers -25 and -8 on the number line. Mason’s friends give him the following advice.  Sara says that he should plot -8 to the left of -25 because -8 < -25.  Lincoln says that he should plot -8 to the left of -25 because -8 > -25.  Maria says that he should plot -25 to the left of -8 because -25 < -8.  Thomas says that he should plot -25 to the left of -8 because -25> -8.

Which of Mason’s friends is correct?

16. A geologist is trying to plot the elevations of several cities on a number line. Help him by placing the following values in the correct position. -12, -7, 3, 10, 14, -5, -1, 7

a) At which point would sea level be located on the number line?

b) Which of the following elevations has the greatest absolute value?

17. Kara is on her school basketball team. She has completed 9 out of 12 free throw shots successfully. Write the ratio as a percent and as a fraction in simplest form.

18. Sort each of the following words into the chart at right. Positive Negative Zero

Sea level Receives Debt Sells Deduct Credit Debit Above sea level Gain Buys Ground level

19. Which of the following points represents 2 ¼ on the number line below.

20. Which one of the following has the same distance as the equation? Select all that apply. │–4│ + │8│

A. 6 + │–6│

B. 4 - 8

C. │–10│ + │–2│

D. │–5│ + │–6│

21. The number of calls answered by a paramedic team over an 8-day period are given. Use the data to make a box-and-whisker plot. 12, 6, 8, 15, 14, 6, 14, 10

22. A parking lot is in the shape of the below figure. Use the information from the figure to answer Part A and Part B. Part A: The distance around the outer edge of the parking lot is… A. 48 ft. B. 68 ft. C. 109 ft. D. 134 ft.

Part B: The area of the parking lot is… A. 64 ft² B. 68 ft² C. 134 ft² D. 149 ft²

23. Which statements below are correct? Select ALL that apply.

 A.  B.  C.  D.  E.