Exponent Laws
Polynomials
Factoring and
Radicals
Radicals
Quadratic Graphs
Solving Quadratics
Domain and Range and Exponential Functions
100
#1. Simplify
(5x^2)^3
B.
125x^6
100
7. Which expression is equivalent to
10+7r-r^2-6r^2-18+5r
C.
-7r^2+12r-8
100
5. Simplify 2sqrt75
C.
10sqrt3
100
What is the y intercept of the graph of the equation y=20-5x^2 ?
A. (0,20)
100
24. What value of x is a solution to this equation?
5x^2-36x+36=0
J. x= 1.2
100
17. What is the domain of the graph?
B. All real numbers
200
#2. Simplify.
(a^4b^3)(a^2b^5c^3)
F.
a^6b^8c^3
200
12. Which expression is equivalent to (2x^2-6x-3)-(6x^2-4x-9) ?
G.
-4x^2-2x+6
200
6. Simplify sqrt45
F.
3sqrt5
200
22. Which coordinate best represents the vertex of the graph?
G. (1, -2)
200
26. Solve for x.
0=2x^2-32
G. x = 4 and x = -4
200
30. The graph of y=5(2)^x is graphed. What is the equation of the asymptote?
F. y = 0
300
#3. Simplify
(3x^2y^6z^-2)/(4x^4y^3z^4)
C.
(3y^3)/(4x^2z^6)
300
10. Which expression is equivalent to (-4h+3)(h^2+9h-1) ?
F.
-4h^3-33h^2+31h-3
300
13. Factor 8x^2+2x-15
B.
(2x+3)(4x-5)
300
21. The quadratic equation y=6x^2-11x+3 is graphed below. What are the zeros of the function?
D.
1/3 and 3/2
300
27. What is the positive solution for this equation?
2x^2+3x-5=0
C. x = 1
300
19. What is the domain of the function?
A.
0<=x<=230
400
8. The expression (y^6)^4(y^11) is equivalent to y^n . What is the value of n?
F. 35
400
11. Divide. (x^2-3x-10)/(x+2)
A. (x-5)
400
15. Simplify -28x^2+35x
A.
-7x(4x-5)
400
20. Two characteristics of quadratic function p are given.
-The axis of symmetry of the graph of p is x = -3
-Function p has exactly one zero.
Based on this information, which graph could represent p?
400
28. What are the solutions or zeros for the function k(x)=x^2-2x-15 ?
F. The zeros are -3 and 5
400
18. What is the range of y=-x^2-2x+3 ?
H.
y<=4
500
4. A parallelogram has a base of 7tv^5 feet and a height of 4t^3v^6 feet. If the formula for the area of a parallelogram is A=bh, what is the area of the parallelogram?
G.
28t^4v^11
500
9. The diagram shows the floor plan of a storage facility. All dimensions are given in feet.
Which expression represents the area of the storage facility in square feet?
B.
500
14. Which is a factor of 5r^2-6r+1 ?
J. 5r - 1
500
16. The graph is shown below.
Which statements are supported by the graph?
I. The x-intercept is located at (-3,0)
II. The coordinates of the y-intercept are (0,9).
III. The axis of symmetry is x = -3.
J. I, II, and III
500
25. The area of a rectangular trampoline is 112
ft^2 . The length of the trampoline is 6 ft greater than the width of the trampoline. This situation can be represented by the equation: w^2+6w-112=0 . What is the width of the trampoline?
C. 8 ft
500
29. Which function is best represented by the graph?
B.
y=3(2)^x