1. Unit 7 study Guide
Integers!

2. A scuba diver is swimming at 43 feet below sea level
A scuba diver is swimming at 43 feet below sea level. He then goes down 18 more feet. Represent his new depth below sea level as an integer.

3. A submarine started out at 16 feet above sea level
A submarine started out at 16 feet above sea level. Then it went down 60 feet and cruised there for 30 minutes. Afterwards the submarine came back up 40 feet. What integer represents the new depth of the submarine?

4. One morning, the temperature was 2° below zero
One morning, the temperature was 2° below zero. By noon, the temperature rose 14° Fahrenheit (F) and then dropped 7°F by evening. What was the evening temperature?

5. Denver, Colorado is called “The Mile High City” because its elevation is 5280 feet above sea level. Someone tells you that the elevation of Death Valley, California is –282 feet. How much higher is Denver than Death Valley?

6. Find the opposite of 33.

7. Identify the quadrant in which points b, c, and D are located.

8. Reflect the point (5, 5) over the x-axis
Reflect the point (5, 5) over the x-axis. What are the coordinates of the new location?

9. The point C (x, y) is reflected over the x-axis
The point C (x, y) is reflected over the x-axis. Use arrow notation to describe the original point and its reflection.

10. Write the absolute value of each point on the number line below in order from least to greatest.

11. It’s - 6⁰ C in Rogers Pass, Montana and - 14⁰C in Tower, Minnesota
It’s - 6⁰ C in Rogers Pass, Montana and - 14⁰C in Tower, Minnesota. Which city is colder and how much colder?

12. Order the following numbers from least to greatest: –13, 16, 3, –20, 15, –10.

13. Graph the inequality x ≥ -5

14. You are designing a rectangular playground
You are designing a rectangular playground. On your scale drawing, the vertices of the rectangle are (6, 3), (6, 5), and (8, 3). What are the coordinates of the fourth vertex? (Hint: Graph the points)

15. The points (3,5 1/2 ) and (3,2 1/4 ) are graphed on a coordinate plane
The points (3,5 1/2 ) and (3,2 1/4 ) are graphed on a coordinate plane. What is the distance between these points?

16. Jack’s house is at (- 6, 4), the library is at (- 2,4), and the pet shop is at (5, - 3). What is the distance between Jack’s house and the library?

17. In a coordinate plane, the points (2,4) and (3,- 1) are on a line
In a coordinate plane, the points (2,4) and (3,- 1) are on a line. Which of the following must be true? A. The line crosses the x-axis. B. The line passes through (0, 0). C. The line stays above the x-axis at all times. D. The line is parallel to the y-axis.

18. Given the coordinates A(2,5),B(- 4,5),C(- 4,1), and D(2,1); what is the perimeter of the polygon formed?

19. If the points on the coordinate plane below are the three vertices of a rectangle, what are the coordinates of the fourth vertex?

20. Plot the points (2,2),(4,8), and (6,2) on the coordinate grid below
Plot the points (2,2),(4,8), and (6,2) on the coordinate grid below. What is the area of the polygon that you have constructed?

21. A polygon with vertices P(-9,7), Q(4,7), R(4,-3), R(-9,-3) is graphed on a coordinate plane. What is the perimeter of the polygon that is formed by these points?