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Review systems and graphing with extras

Page history last edited by PBworks 16 years, 2 months ago

Part I Answer each of the following questions.

1. Which ordered pair is in the solution of the system of equations:

x - y = -1

x + y = 5

(1) (2, 3) (2) (2, -3) (3) (3, -2) (4) (3, 2)

2. The graph of the equation 3y = 6 - x intersects the y-axis at the point whose coordinates are

(1) (0, 2) (2) (0, 18) (3) (0, 6) (4) (6, 0)

3. Which ordered pair is in the solution of the system of equations:

3x + 2y = 8

3x + y = 7

(1) (1, 2) (2) (2, 1) (3) (1, 4) (4) (4, -2)

4. Point (k, 3) lies on the line whose equation is x – 2y = -2. What is the value of k?

(1) -4 (2) 6 (3) -6 (4) 4

5. Tim and Beth are standing together in the schoolyard. Tim, who is 6 feet tall, casts a shadow that is 54 inches long. At the same time, Beth casts a shadow that is 45 inches long. How tall is Beth?

(1) 38 inches (2) 5 feet (3) 86.4 inches (4) 5 feet 6 inches

6. Which line is parallel to the line whose equation is 5y + 6 = -3x?

(1) Formula (2) Formula (3) Formula (4) Formula

7. The perimeter of a triangle is 45 centimeters, and the lengths of its sides are in the ratio 1:3:5. The length of the longest side is

(1) 5 centimeters (2) 10 centimeters (3) 15 centimeters (4) 25 centimeters

8. Which ordered pair is a solution of y > 4x?

(1) (5, 3) (2) (7, 2) (3) (1, -1) (4) (-2, 0.25)

9. What is the slope of the linear equation 2y = -20x - 30?

(1) 10 (2) -10 (3) 2 (4) -15

10. Which statement is true about the graph of the equation y = x?

(1) It is parallel to the x-axis (2) It goes through (2, -2) (3) It is parallel to the y-axis (4) It goes through the origin

11. What is the slope of the graph of the equation y = 8?

(1) 1 (2) 0 (3) undefined (4) 4

12. What is the midpoint of the segment whose endpoints are (5, 7) and (-2, 9)?

(1) (-1.6, 82) (2) (1.5, 8) (3) (-1.5, -8) (4) (8, 1.5)

Part II

Show all Work.

13. Mrs. Frog bought 4 pounds of candy and 6 pounds of popcorn, for which she paid $40.00. Mr. Toad, paying the same prices, paid $22.50 for two pounds of candy and 4 pounds of popcorn. Find the price of a pound of candy and the price of a pound of popcorn.

14. Solve the system of equations and check:

y = 2x + 1

x + y = 7

15. Solve the system of equations and check:

y – 3x = 12

y = -3

16. Use Graph pager to graph the following system of inequalities and label the solution set R:

x + y > 4

y < 2x - 3