Test 1 Radical/Rational/Poly
Test 2 Equations
Test 3 Linear Functions
Test 4 Systems
Test 5 Quadratics
100

7. Evaluate 251/2

5

100

20. Identify the error


She should have divided 7 by 3

100

28. What is the range of the following relation?

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

-2, -1, 5

100

35. What is the solution to the system of equations?

y=3x+7

y=x-9

(-8, -17)

100

51. Identify the vertex of g(x)=(x-10)2-2

(10,-2)

200

4. Simplify (345)0 * (78)1

78

200

17. Solve:

43x+3=42(x+4)

x=5

200

31. What is the slope of the equation below?


m=1/6

200

37. What is the solution to the system of equations?

3x+2y=7

y=-3x+11

(5,-4)

200

54. Given the graph below, what is the axis of symmetry?


x=-2

300

9. Simplify (3a3b2)(5ab4)

15a4b6

300

19. To rent a van, a moving company charges $30.00 plus $0.50 per mile. An equation to model this situation is written as T=0.5m+30, where T is the total cost and m is the number of miles driven. What is the total cost of the van if you drive 150 miles?

$105

300

34. Find the x and y intercepts of the following function:

3x-4y=12

x-int: (4,0)

y-int: (0,-3)

300

40. The equations 5x + 2y = 48 and 3x + 2y = 32 represent the money collected from the school concert ticket as sales during two class periods. If x represents the cost for each adult ticket and y represents the cost for each student ticket, what is the cost for each adult ticket? 

x=8

300

64. Factor 4x2-8x completely 

4x(x-2)

400

12. Simplify: (2x3y5)4

16x12y20

400

14. Solve 3(x-1)-x=3+2(x+3)

no solution

400

23. What is the slope of the line containing the ordered pair (2,3) and (-4,0)?

m=1/2

400

41. What is the x-value of the solution to this system of equations?

3x+2y=6

2x+y=2

x=-2

400

55. Solve 4x2-100=0

x=5,-5

500

11. Simplify:



500

15. Solve (1/2)(8x-14)=-13

x=-3/2 or -1.5

500

21. Which equation matches the graph shown:



y=(-2/3)x+4

500

42. What is one point that lies in the solution set of the system of inequalites graphed below? (you may want to look on your study guide)

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

(7,0)

500

47. Use this description to write the quadratic function in vertex form:

The parent function f(x)=x2 is vertically compressed by a factor of 1/3 and translated 12 units left and 8 units down.

g(x)=(1/3)(x+12)2-8

M
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