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**Algebra I Chapter 10 Review**

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**Question # 1 Simplify. Write in standard form.**

(5x3 + 3x2 – 7x +10) – (3x3 – x2 + 4x -1)

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**Answer # 1 Simplify. Write in standard form.**

(5x3 + 3x2 – 7x +10) – (3x3 – x2 + 4x -1) 2x3 + 4x2 - 11x + 11

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**Question # 2 Simplify. Write in standard form.**

(x2 + 3x - 2) + (4x2 - 5x + 2)

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**Answer # 2 Simplify. Write in standard form.**

(x2 + 3x - 2) + (4x2 - 5x + 2) 5x2 - 2x

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Question # 3 Find each product. Write in standard form. 4x(x2 + 3)

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**Answer # 3 Find each product. Write in standard form. 4x(x2 + 3)**

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**Question # 4 Find each product. Write in standard form.**

(5c + 3)(-c + 2)

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**Answer # 4 Find each product. Write in standard form. (5c + 3)(-c + 2)**

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**Question # 5 Find each product. Write in standard form.**

(x - 1)(x2 + x + 1)

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**Answer # 5 Find each product. Write in standard form.**

(x - 1)(x2 + x + 1) x3 - 1

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Question # 6 Factor. x2 + 3x - 4

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Answer # 6 Factor. x2 + 3x - 4 (x + 4)(x – 1)

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Question # 7 Factor. 4x2 + 4x + 1

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Answer # 7 Factor. 4x2 + 4x + 1 (2x + 1)2

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Question # 8 Factor. 4x2 - 25

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Answer # 8 Factor. 4x2 - 25 (2x - 5)(2x + 5)

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Question # 9 Solve for x. Give the exact answer. x2 + 4x = 2x2 –x + 6

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**Answer # 9 Solve for x. Give the exact answer. x2 + 4x = 2x2 –x + 6**

x = 2 or 3

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Question # 10 Solve for x. Give the exact answer. x2 + 4x + 1 = x

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**Answer # 10 Solve for x. Give the exact answer. x2 + 4x + 1 = x**

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Question # 11 Solve for x. Give the exact answer. x2 + 10x + 40 = 0

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**Answer # 11 Solve for x. Give the exact answer. x2 + 10x + 40 = 0**

No solution

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Question # 12 Solve using complete the square method. 2x2 + 8x - 6 = 0

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**Answer # 12 Solve using complete the square method. 2x2 + 8x - 6 = 0**

x2 + 4x - 3 = 0 x2 + 4x + 4 = 3 + 4 (x + 2)2 = 7 x + 2 = ±√7 x = -2 ±√7

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Question # 13 Solve for x. 8x5 + 12x4 – 20x3 = 0

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**Answer # 13 Solve for x. 8x5 + 12x4 – 20x3 = 0 4x3(2x2 + 3x – 5) = 0**

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Question # 14 Solve for p. 4p2 = 36

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Answer # 14 Solve for p. 4p2 = 36 p2 = 9 p = ±3

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