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Quiz Review: Properties of Exponents and Polynomials

Total questions: 24

Worksheet time: 48mins

Name
Class
Date
1.

Classify the following polynomials by degree and number of terms.

a)

Cubic Polynomial

b)

Cubic Trinomial

c)

Quartic Polynomial

d)

Quadratic Polynomial

2.

Classify the following polynomials by degree and number of terms.

a)

Quadratic Binomial

b)

Quadratics Polynomial

c)

Quartic Polynomial

d)

Quartic Binomial

3.

Classify the following polynomials by degree and number of terms.

a)

Linear Polynomial

b)

Quadratic Trinomial

c)

Linear Trinomial

d)

Quadratic Polynomial

4.

Classify the following polynomials by degree and number of terms.

a)

Linear Polynomial

b)

Quadratic Binomial

c)

Linear Binomial

d)

Constant

5.
a)

-5

b)

3

c)

12

d)

2

6.

Simplify the following polynomials. All answers must be in standard form.

a)

4y2 - 3y -1

b)

2y2 +5y +3

c)

2y2 - 3y - 1

d)

4y2 + 5y + 3

7.

Simplify the following polynomials. All answers must be in standard form.

a)

5m2 -13m + 9

b)

5m2 -3m - 5

c)

-m2 -3m - 5

d)

5m2 -13m - 5

8.

Simplify the following polynomials. All answers must be in standard form.

a)

9k2 + 9k + 14

b)

9k2 + 9k

c)

9k + k2

d)

k2 + 9k

9.

Simplify the following polynomials. All answers must be in standard form.

a)

2x2 - 4 - 2x

b)

-2x + 2x2 -4

c)

2x2 - 2x - 4

d)

-4 - 2x + 2x2

10.

Simplify the following polynomials. All answers must be in standard form.

a)

x2 + 6x - 4x -24

b)

x2 + 2x - 24

c)

x2 + 10x - 24

d)

x2 + 10x + 24

11.

Simplify the following polynomials. All answers must be in standard form.

a)

-3 - 16m + 12m2

b)

-16m -3 + 12m2

c)

12m2 - 16m - 3

d)

12m2 + 2m - 18m -3

12.

Simplify the following polynomials. All answers must be in standard form.

a)

5a2- 20ab + ab - 4b2

b)

5a2 + 20ab + 4b2

c)

5a2 + 19ab + 4b2

d)

5a2 - 19ab - 4b2

13.

Simplify the following polynomials. All answers must be in standard form.

a)

a2 - 16

b)

a2 - 8a + 16

c)

a2 - 4a - 4a + 16

d)

a2 + 16

14.

Simplify the following polynomials. All answers must be in standard form.

a)

49x2+ 28x + 4

b)

7x2 + 4

c)

49x2 + 4

d)

49x2 + 14x + 14x + 4

15.

Simplify the following polynomials. All answers must be in standard form.

a)

x2 + 20x + 100

b)

x2 - 10x + 10x -100

c)

x2 - 100

d)

x2 - 20x - 100

16.

Simplify the following polynomials. All answers must be in standard form.

a)

12x - 18

b)

12x - 9

c)

18x2 - 48x - 18

d)

6x + 6x - 18

17.

Simplify the following polynomials. All answers must be in standard form.

a)

3x2 - 19x + 20

b)

-x - 20

c)

3x - 4x + 20

d)

-x + 20

18.

Simplify the following polynomials. All answers must be in standard form.

a)

x3+5x2+3x+15x^3+5x^2+3x+15

b)

x3+5x23x15x^3+5x^2-3x-15

c)

6x23x15-6x^2-3x-15

d)

x35x23x15-x^3-5x^2-3x-15

19.

Simplify the following polynomials. All answers must be in standard form.

a)

n3+4n210nn^3+4n^2-10n

b)

n35n246n+90n^3-5n^2-46n+90

c)

n3+4n210n9n236n+90n^3+4n^2-10n-9n^2-36n+90

d)

8n236n+90-8n^2-36n+90

20.

Simplify Completely:

a)

10x24y910x^{24}y^9

b)

7x11y107x^{11}y^{10}

c)

10x11y1010x^{11}y^{10}

d)

10x(3+8)y(9+1)10x^{\left(3+8\right)}y^{\left(9+1\right)}

21.

Simplify Completely:

a)

a(6+2)b(2+1)a^{\left(6+2\right)}b^{\left(-2+1\right)}

b)

a8b1a^8b^{-1}

c)

a8b1ca^8b^{-1}c

d)

a8b1\frac{a^8}{b^1}

22.

Simplify Completely:

a)

27x1527x^{15}

b)

3x83x^8

c)

3x153x^{15}

d)

27x527x^5

23.

Simplify Completely:

a)

x5x^5

b)

x7x2x^7x^{-2}

c)

x(72)x^{\left(7-2\right)}

d)

x14x^{14}

24.

Simplify Completely:

a)

8x(104)8x^{\left(-10-4\right)}

b)

8x148x^{-14}

c)

8x14\frac{8}{x^{14}}

d)

8x4x10\frac{8}{x^4x^{10}}