Algebra I Chapter 10 Review. Question # 1 Simplify. Write in standard form. (5x 3 + 3x 2 – 7x +10)...

Algebra IChapter 10 Review

Question # 1

• Simplify. Write in standard form.

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

Answer # 1


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

2x3 + 4x2 - 11x + 11

Question # 2


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

Answer # 2


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

5x2 - 2x

Question # 3

• Find each product. Write in standard form.

4x(x2 + 3)

Answer # 3


4x(x2 + 3)

4x3 + 12x

Question # 4


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

Answer # 4


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

-5c2 + 7c + 6

Question # 5


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

Answer # 5


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

x3 - 1

Question # 6

• Factor.

x2 + 3x - 4

Answer # 6

• Factor.

x2 + 3x - 4

(x + 4)(x – 1)

Question # 7

• Factor.

4x2 + 4x + 1

Answer # 7

• Factor.

4x2 + 4x + 1

(2x + 1)2

Question # 8

• Factor.

4x2 - 25

Answer # 8

• Factor.

4x2 - 25

(2x - 5)(2x + 5)

Question # 9

• Solve for x. Give the exact answer.

x2 + 4x = 2x2 –x + 6

Answer # 9


x2 + 4x = 2x2 –x + 6

x2 – 5x + 6 = 0

(x - 3)(x - 2) = 0

x = 2 or 3

Question # 10


x2 + 4x + 1 = x

Answer # 10


x2 + 4x + 1 = x

x2 + 3x + 1 = 0

x = -3 ± √5

2

Question # 11


x2 + 10x + 40 = 0

Answer # 11


x2 + 10x + 40 = 0

No solution

Question # 12

• Solve using complete the square method.

2x2 + 8x - 6 = 0

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

Question # 13

• Solve for x.

8x5 + 12x4 – 20x3 = 0

Answer # 13

• Solve for x.

8x5 + 12x4 – 20x3 = 0

4x3(2x2 + 3x – 5) = 04x3(2x + 5)(x – 1) = 0

x = {0, 1, -5/2}

Question # 14

• Solve for p.

4p2 = 36

Answer # 14

• Solve for p.

4p2 = 36

p2 = 9p = ±3

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