Free Printable Unit 8 Factoring Exam Review

Worksheets

Unit 8 Factoring Exam Review

Total questions: 40

Worksheet time: 1hrs 22mins

Name

Class

Date

(x - 3)²

2x - 6

x² -6x + 9

x² - 3x - 6

I need to review this

(x - 2)(x + 5)

x²+ 3x - 10

x² - 10

x²+ 7x + 10

I need to review this

(7x⁴ +7x³ -2) - (8x² -8x +9)

7x⁴ + 7x³ -8x² +8x -11

-2x + 11

14x⁴ - 16x² -11

I need to review this

Factor 8y² + 30y + 7

(2y + 7)(4y + 1)

6y + 8

8(y² + 5y + 1)

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Add. (6x² -4x +6) + (2x³ -6x)

6x² -4x +6 + 2x³ -6x

2x³ + 6x² -10x + 6

4x³ -6x + 6

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Factor x² -18x + 81

(x - 9)²

(x + 8)(x + 1)

x(x - 18 + 81)

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Factor n² -13n + 40

n(n-13) + 40

(n + 4)(n+ 10)

(n - 5)(n - 8)

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Factor by grouping 64r³ + 56r² -56r -49

(64 +56 -56 -49)(r³ + r² -r)

(8r² - 7)(8r + 7)

(64r³ + 56r²)- (56r -49)

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Factor x² + 15x +44

(x + 11)(x + 4)

(x + 40(x = 4)

(x + 15)(x + 44)

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10.

Factor to find the possible dimensions of a rectangular prism

V= 4y³ + 8y² + 3y

y, 2y+1, 2y + 3

4, 8, 3

4y³ , 8y², 3y

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11.

Factor 3x² + 11x - 4

(3x + 11)((11x - 4)

(x + 4)(3x - 1)

-12x+ 6

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12.

Find the GCF. 21z⁵ -42z⁴ + 6z³

3z³

3z⁵

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13.

Find the Product.

(x - 1)(x + 1)

x² - 1

x² + 2x - 1

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14.

Factor the expression.

x² - 49

(x²)(49)

(2x - 7)²

(x + 7)(x - 7)

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15.

Factor the expression.

x² - 4x - 12

(x - 6)(x + 2)

(x - 4)(x - 12)

(x + 4)(x + 3)

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16.

Multiply 3x²(3x + 2)

6x² + 6x

9x³ + 6x

3x² + 3x - 2

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17.

Simplify 6x² + 13x²

19x²

19 + x²

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18.

Find the degree of the term.

-3x³

-3

I still need to review this

19.

Multiply (3a - 3)(a + 5)

3a² + 12a - 15

3a + 2a + 15

4a + 2

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20.

Find the product.

(8x +2)²

8x² + 4

16x² + 4

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64x² + 32x + 4

21.

The area of a rectangular rug is given by the trinomial

r² - 6r - 55

What are the possible dimensions of the rug?

r + 5, r - 11

6 , 55

r - 6, r - 55

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22.

Find the product.

-3y⁴(8y² + 8y - 2)

5y⁴ + 5y - 5

-24y⁶ - 24y⁵ + 6y⁴

y⁴ + y² + y(-3 + 8 - 8 - 2)

I still need to review this

23.

Factor out the GCF.

9x² - 6x

3x (3x - 2)

(9x²)(-6x)

3x²

I still need to review this

24.

Find the degree.

8a⁹b⁶

I still need to review this

25.

Multiply

(y + 2)(y - 9)

y² - 7y - 18

2y - 18

2y - 9y

I still need to review this

26.

Factor
2x² - 13x - 70

(2x-7)(x+10)

(7x+5)(x+2)

(2x+7)(x-10)

2(x+7)(x+10)

27.

Factor
5x²-28x+32

(3x-10)(x+6)

(x-8)(5x-4)

(5x-8)(x-4)

(5x-8)(x+7)

28.

Factor
4x²-25x+25

4(x-5)(x+5)

(x+5)(4x+5)

(x-5)(4x-5)

(x+2)(9x+1)

29.

Factor:
5n² - 6n - 27

(5n + 3)(n-9)

(5n - 3)(n + 9)

(5n + 9)(n - 3)

(5n - 9)(n + 3)

30.

factor:x²- 25

( x + 5 ) ( x - 5 )

( x - 5 ) ( x - 5 )

( x + 5 ) ( x + 5 )

Prime

31.

6m² + 16m

2(3m² + 8m)

2m(3m + 8)

2m(3m - 8m)

not factorable

32.

Factor:
56a³-8a

8a²(56a³-8a)

8a(7a²-1)

8a(7a³-a)

8a²(35a²-a)

33.

Factor:
2n²-8n³

2n²(n-4n²)

2n²(1-4n)

2n³(10-8n²)

3n(1-4n)

34.

What is the first question you ask yourself when factoring a polynomial?

How many terms does it have?

Is there a GCF?

What strategy should I use?

Why do I have to learn this?!?!?!

35.

Factor Completely:

2c² + 2c - 84

Hint: Factor GCF first.

(c-6)(2c+14)

(c+7)(2x-12)

(c-4)(2c+21)

2(c+7)(c-6)

36.

Factor Completely:
3x² + 18x +15
Hint: Factor GCF first.

3(x² + 6x + 5)

(x + 5)(x + 1)

3(x + 5)(x + 1)

Prime

37.

38.

39.

40.

Factor out the GCF:
12x + 6

6(2x + 1)

3(4x + 2)

6x(2x + 1)

2(6x + 3)

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Unit 8 Factoring Exam Review

Total questions: 40

Worksheet time: 1hrs 22mins

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