Math 67 Name ______
Unit 7 Test REVIEW!
Knowledge and Understanding
1. What does the absolute value of a number tell you about the number? ______
______
2. How could you use a number line to compare and order rational numbers?______
______
Proficiency of Skills
3. Evaluate |-10| + |52| - |3| = ______
4. Evaluate = ______
5. Order from least to greatest: 0, -6, |-2|, -1, -9, 1
______,______,______,______,______,______
6. Plot and label the following points on the coordinate plane. à
A (-6, 0); B (1,-3); C (-4, -9); D (8,8)
Also, label Quadrants I, II, III, and IV.
7. Finish labeling the number line below. Plot points on -5 and its opposite.
Application
8. Jack is scuba diving 280 feet below sea level. He rises 150 feet to check out a school of blobfish . How many more feet must he swim to reach sea level? (Hint: Drawing a picture may help to visualize the problem!)
9. The table below shows today’s temperature for 5 cities in Alaska.
City / McKinley Park / Bethel / Fairbanks / McGrath / King SalmonTemperature (⁰Celsius) / -18 / -16 / -25 / -24 / -12
a. Write an inequality comparing the temperature of McGrath and Fairbanks: ______
b. Which city is the coldest?______
c. Which city is the warmest?______
10. Graph point A (-2, 4) on the coordinate plane à
a. Reflect the point across the y-axis.
b. What is the distance between point A and A’? ______units
c. Justify your answer in part b.
______
______
______
______
11. a. Mrs. Bothers owes $1.50 in late fees to the library. Fill in the number line below.
b. Mrs. Powers owes $7 in late fees to the library. Represent this value on the number line.
c. How much more does Mrs. Powers owe than Mrs. Bothers? ______
Use the map below for questions 12 – 14.
12. Name the ordered pair that represents the location of the stadium.
______
13. How many blocks apart are the art museum and the animal shelter?
______blocks
Justify your answer with an equation.
______+ ______= ______
14. Name the building that is located in quadrant 3. ______
15. Graph (-2, 4) and (-2, -3) on the coordinate plane. à
a. Reflect both points across the y-axis to form the vertices of a rectangle.
Name the two reflected ordered pairs: ______and______
b. What is the perimeter of the rectangle? ______
c. What is the area of the rectangle? ______
16. If you reflected the ordered pair (2, -5) across the x-axis, what would be the coordinates of the reflection?
A. / (-2, -5) / B. / (2, 5) / C. / (2, -5) / D. / (-2, 5)17. Which statement below is NOT true?
A. / -3 < -10B. / -2 ≥ -5
C. / -4 ≤ -4
D. / 3 > -4
18. It is 90 degrees above zero in Miami. It is 34 degrees below zero in Anchorage. Use the number line below to determine how many degrees warmer it is in Miami than in Anchorage.
A. / 56⁰F / B. / 66⁰F / C. / 124⁰F / D. / 134⁰F19. On a number line, you start at -1 and jump 6 units to the left. Where are you now on the number line?
A. / -7 / B. / 5 / C. / -5 / D. / 720. John is fencing a rectangular section of his yard for his puppy. If he wants to give his dog an area of 100
square feet to run around, determine a possible set of dimensions and answer the questions below.
a. Graph the rectangle on the coordinate plane, and label the ordered pairs.
b. What is the length?______the width? ______
c. How did you choose your length and width?
d. What is the perimeter of your rectangle? ______units
e. If the fencing costs $10.50 per foot, how much will Dylan have to pay
(before taxes)?