Mr. BoroskyAlgebra 2 Review # 3 Chapters 4 & 5 Name: ______

  1. Use the Rules for Exponents to solve the following.
  2. USE ONLY POSITIVE EXPONENTS.
  3. Make sure you simplify the numerical part (ex. 23 = 8)

  1. (5b)4(b)
/
  1. (r6s5)3
/
  1. (x2a + 3)(x4a - 7)

  1. 4-3
/
  1. _a11_
a8 /
  1. _(-3)7_
(-3)4
  1. ( 2 )3
( 5 ) /
  1. ( 4x3y3 ) * ( 5xy2 )
( 2xy ) ( 2y )
  1. Write in Decimal Notation
5.17 * 103 /
  1. Write in Scientific Notation
3,285,000

Perform the Indicated Operation and Write the Result in BOTH

1. Decimal Notation and 2. Scientific Notation.

  1. (4 * 106)(6 * 10-2)
/
  1. _4.2 * 108_
13 * 10-4

Add or Subtract the Following Polynomials.

  1. 6x3 – 5x2 - 3
- ( + 4x2 – 3x + 7) /
  1. (8a2 + 5a + 2) – (8a2 + 5a + 2)

Multiply the Polynomials.

  1. (3x - 1)(4x – 7)
/
  1. (3m – 2x)2

  1. 3a(a3 – 2a2) – 5(2a4 - 3a2)

  1. (5x2 – 6x + 9)(4x2 + 3x + 11)

  1. Factor x2 – 144
A. (x – 12)(x – 12)
B. (x + 12)(x + 12)
C. (x + 12)(x – 12)
D. Prime /
  1. Factor x3 - 8
A. (x + 2)(x2 - 2x + 4)
B. (x - 2)(x2 + 2x + 4)
C. (x + 2)(x2 + 2x + 4)
D. (x - 2)(x2 - 2x + 4)
  1. Factor 25x8 – 49y6
/
  1. Factor 5x2 – 20

  1. Factor x4 – 14x2 - 15
/
  1. Factor 9x2 + 18x + 9

  1. Factor 5x2 + 7x - 6
/
  1. Factor x3 + 64

  1. Factor 5x3 – 15x2 = 0
/
  1. Factor y = x2 + 7x - 30

Find The Vertex and label it as a Max or Min and Graph Each Function. Use Graph Paper. Use a Minimum of 5 Points.

  1. y = - ½x2 + 4x
x | y
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  1. y = 2(x + 2)2
x | y
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Simplify the Radical Expressions.

  1. _ __
√6 * √12 /
  1. ___
/_7
√ 25
  1. __ _
3√7 * √7

Solve the following.

  1. 2(x – 4)2 = 32
A) 8
B) 0
C) 0, 8
D) –8, 0