2. 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 Exponents and Radicals PythagoreanTheorem Circle Formula Problems 100 200 300 400 500 600 The new and improved ALL math version!! Systems of Equations All about lines

3. For y  0, is equivalent to: E. y 6 Next Player A.1 B.4 C.y 3 D.y 4 E.y 6

4. For all nonzero x, y, and z, which of the following is equivalent to ? B. -8xy 2 z 2 Next Player A. -8xyz B. -8xy 2 z 2 C. 8xy 2 z 2 D. -8x 2 y 2 z 2 E. -21xy 2 z 2

5. For all positive x, y, and z, = ? D. Next Player A. D. B. E. C.

6. For all nonzero a and b, = ? B. -15a 2 b Next Player A.-15b B.-15a 2 b C.-15a 2 b 2 D. E.

7. For all x, 2(-3x) 2 is equivalent to: D. 18x 2 Next Player A.-36x 2 B.-18x 2 C. -6x 2 D. 18x 2 E. 36x 2

8. What is the smallest integer, x, satisfying the condition that x - is positive? B. 3 Next Player A.2 B.3 C.4 D.5 E.6

9. J. 5/12 Next Player The polygon below was a square with 12-inch sides before a triangle was cut off. What is the perimeter, in inches, of this polygon? F.41 G.43 H.46 J.48 K.53

10. What is the distance, in units, between the points with standard (x,y) coordinates (4, 3) and (6, -2) ? B. Next Player A. B. C. D. 6 E.

11. H. 13 Next Player In the figure below, all distances are in centimeters and all angles are right angles. A straight line drawn from point A to point D would be how many centimeters long? F. 5 G.12 H.13 J.16 K.17

12. A ramp goes from the edge of a dock to the edge of a ship’s deck. If the ramp is 25 feet long and the deck of the ship is 7 feet above the dock, how many feet away from the dock is the ship? D. 24 Next Player A.674 B.576 C. D. 24 E. 18

13. Below, in right triangle ABC, is 4 inches long and is 5 inches long. What is the area, in square inches, of square ACDE ? K. 41 Next Player F.9 G. H. J.4 K.41

14. A forest begins 300 feet from the center of the base of a vertical television tower, across level ground. If the tower is 400 feet tall, how many feet is it from the top of the tower to the nearest edge of the forest at ground level? C. 500 Next Player A.100 B.200 C.500 D.700 E.120,000

15. The scales on both axes of the standard (x,y) coordinate plane below are the same. Of the following, which is the best estimate for the slope of ? C. ¼ Next Player A. 4 B. C. D.- E.-4

16. To check the slope of a ramp, a building inspector places an overlay of the standard (x,y) coordinate plane on the construction blueprint so that the x-axis aligns with the horizontal on the blueprint. The line segment representing the side view of the ramp goes through the points (1, -3) and (14, 2). What is the slope of the planned ramp? D. 5/13 Next Player A. - B. - C. - D. E.

17. What is the slope of the line 6y = 9x + 1 ? C. 3/2 Next Player A. B.1 C. D.6 E.9

18. What is the slop-intercept form of the equation 3y + 2x = 12 ? (Note: Slope-intercept form is y = mx + b for constants m and b.) F. Next Player F. G. H. J. K.

19. Which of the following is the slope-intercept form of the equation of the line that is parallel to the line in the standard (x,y) coordinate plane and that also contains the point (0, 6) ? B. Next Player A. B. C. D. E.

20. Which of the following is the graph of the equation 2x + y = 4 in the standard (x,y) coordinate plane? A. Next Player A. D. B. E. C.

21. If the circumference of a circle is inches, how many inches long is its radius? C. 5/4 Next Player A. B. C. D. E. 

22. Which of the following is an equation for the circle in the standard (x,y) coordinate plane with center at (2,3) and radius 3 ? C. C. (x – 2) 2 + (y – 3) 2 = 9 Next Player A.(x – 2) 2 + (y + 3) 2 = 9 B.(x + 3) 2 + (y + 2) 2 = 9 C.(x – 2) 2 + (y – 3) 2 = 9 D.(x – 2) 2 + (y + 3) 2 = 3 E.(x – 2) 2 + (y – 3) 2 = 3

23. In a circle of diameter 8 inches, shown below, how many inches in length is an arc that has a central angle measure of 60  ? C. Next Player A. B. C. D. E.

24. A circle has a circumference of 16p centimeters. How many centimeters long is the radius of the circle? D. 8 Next Player A.16  B. 8  C.16 D. 8 E. 4

25. Which of the following is an equation of the circle in the standard (x,y) coordinate plane below? J. (x + 3) 2 + (y – 3) 2 = 9 Next Player F.(x – 3) 2 + (y + 3) 2 = G.(x + 3) 2 + (y – 3) 2 = 6 H.(x – 3) 2 + (y + 3) 2 = 6 J.(x + 3) 2 + (y – 3) 2 = 9 K.(x – 3) 2 + (y + 3) 2 = 9

26. Meg pounded a stake into the ground. When she attached a leash to both the stake and her dog’s collar, the dog could reach 9 feet from the stake in any direction. Using 3.14 for , what is the approximate area of the lawn, in square feet, the dog could reach from the stake? D. 254 Next Player A. 28 B. 57 C.113 D.254 E.283

27. What (x,y) pair is the solution to the system of equations below? x + y = 0 x – y = 0 H. (0, 0) Next Player F.( 5, 5) G.( 4,-4) H.( 0, 0) J.(-3, 3) K.(-2,-2)

28. What is the value of b in the solution to the system of equations below? 3a – 2b = 21 a + 3b = -4 D. -3 Next Player A.17 B. 9 C. 5 D.-3 E.-5

29. If 10a + 2b = 15 and 5a = 4b, what is the value of a + b ? B. 2.7 Next Player A. 3.0 B. 2.7 C. 1.5 D. 1.2 E.-0.3

30. What are the (x, y) coordinates of the intersection of the lines determined by the equations 2x – 7y = 41 and x + 3y = -12? J. (3, -5) Next Player F.The lines don’t intersect G.(-3,-5) H.(-3, 5) J.( 3, -5) K.There are infinitely many points in the intersection

31. For what value of a would the following system of equations have an infinite number of solutions? 2x – 3y = 8 6x – 9y = 4a G. 6 Next Player F. 2 G. 6 H. 8 J.24 K.32

32. It is estimated that, from the beginning of 1980 to the end of 1986, average milk consumption in the United States decreased from 30 gallons per year to 22 gallons per year. During the same time period, soft drink consumption rose from an average of 24 gallons per year to 34 gallons per year. Assuming that in each case the change was linear, during what year were the 2 consumption rates equal? B. 1982 Next Player A.1981 B.1982 C.1983 D.1984 E.1985