Multiply. B) C) D) 2. Factor completely. b 2 - ab - 6 a 2 (b - 6 a)(b + a) B) (b - 3 a)(b + 2 a


1. Multiply.
  1. B) C) D)
2. Factor completely. b 2 ab – 6 a 2
  1. ( b – 6 a )( b + a ) B) ( b – 3 a )( b + 2 a ) C) ( b + 6 a )( b a ) D) ( b + 3 a )( b – 2 a )
3. Factor completely. 5 a 2 – 125
  1. 5( a – 5) 2 B) 5 a ( a – 25) C) (5 a – 1)( a – 125) D) 5( a + 5)( a – 5)
4. Determine whether is rational or irrational.
  1. Irrational B) Rational
5. Use a calculator to approximate to the nearest hundredth.
  1. 6.71 B) 6.83 C) 6.48 D) 6.33
6. Find the axis of symmetry.
y = x 2 x + 10
  1. x = –1 B) x = 1 C) x = D) x =
7. Factor completely. x 2 – 3 x – 18
  1. ( x + 3)( x + 6) B) ( x + 1)( x – 18) C) ( x + 3)( x – 6) D) ( x – 3)( x + 6)
8. Divide.
  1. x 2 + x + 4 B) x 2 + x – 4 C) x 2 x + 4 D) x 2 x – 4
9. Factor completely. 12 x 3 – 3 xy 2
3 x (2 x + y )(2 x y ) C) 3 x (4 x y )( x + y )
B) 3 x (2 x y ) 2 D) 12 x ( x – 3 y )( x y)
10. What is the degree of the polynomial x 12 – 5 x 4 ?
  1. 4 B) 5 C) 12 D) –5
11. The length of a rectangle is 2 in. more than twice its width. If the perimeter of the rectangle is 52 in., find the width of the rectangle.
  1. 9 in. B) 10 in. C) 8 in. D) 7 in.
12. Simplify.
  1. B) C) D)
13. Factor completely. 21 x 2 + 33 x + 12
14. Factor completely. 10 x 2 + 10 x – 200
15. Identify the axis of symmetry, create a suitable table of values, then sketch the graph (including the axis of symmetry).
y = – x 2 + 3 x – 3
16. Solve. x 2 – 8 x – 9 = 0
17. Solve.
18. Which two expressions are equivalent?
19. Simplify. Assume all variables represent positive numbers.
  1. B) C) D)
20. Solve by completing the square.
x 2 = 5 x + 2
  1. B) C) D)
21. Multiply. (5 a – 3 b ) 2
  1. 25 a 2 – 9 b 2 B) 25 a 2 + 9 b 2 C) 25 a 2 – 30 ab + 9 b 2 D) 25 a 2 – 30 ab – 9 b 2
22. Use a calculator to approximate to the nearest hundredth.
  1. 8.37 B) 8.72 C) 8.22 D) 8.60
23. The demand and supply equations for a certain item are given by
D = –5 p + 40
S = p 2 + 30 p – 8
Find the equilibrium price.
  1. $1.57 B) $1.29 C) $1.71 D) $1.43
24. Is the following binomial a difference of squares?
9 a 2 – 8 b 2
  1. No B) Yes
25. Divide.
x 3 – 3 x 2 – 10 x + 30 + C) x 3 – 3 x 2 + 10 x – 30 +
B) x 3 – 3 x 2 + 10 x + 30 + D) x 3 – 3 x 2 – 10 x – 30 +
26. Write in simplest form.
  1. B) C) D)
27. Factor completely. 5 a 2 – 125
  1. 5( a – 5) 2 B) (5 a – 1)( a – 125) C) 5( a + 5)( a – 5) D) 5 a ( a – 25)
28. Give the degree. 5 x
  1. 5 B) 0 C) 1
30. Simplify.
31. Write in simplest form.
32. Add. Express your answer in simplest form.
33. Solve. ( x + 4) 2 = 25
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