Quiz about Properties of Exponents and Polynomials

Question 1

Question 1.

Accepted Answer

3

Answer

-5

Answer

12

Answer

2

Question 2

Simplify Completely:

Accepted Answer

$$10x^{11}y^{10}$$

Answer

$$10x^{24}y^9$$

Answer

$$7x^{11}y^{10}$$

Answer

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

Question 3

Simplify Completely:

Accepted Answer

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

Answer

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

Answer

$$a^8b^{-1}$$

Answer

$$a^8b^{-1}c$$

Question 4

Simplify Completely:

Accepted Answer

$$27x^{15}$$

Answer

Answer

$$3x^{15}$$

Answer

Question 5

In a polynomial, the variables must have what type of exponents?

Accepted Answer

whole number exponents

Answer

integer exponents

Answer

fraction exponents

Answer

decimal exponents

Question 6

(34x⁵y⁶z^-7)⁰

Accepted Answer

1

Answer

34x⁵y⁶ / z⁷

Answer

34x⁵y⁶ / x^-7

Answer

0

Question 7

Simplify Completely:

Accepted Answer

Answer

$$x^7x^{-2}$$

Answer

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

Answer

Question 8

Classify the following polynomials by degree and number of terms.

Accepted Answer

Cubic Polynomial

Answer

Cubic Trinomial

Answer

Quartic Polynomial

Answer

Quadratic Polynomial

Question 9

Classify the following polynomials by degree and number of terms.

Accepted Answer

Quartic Binomial

Answer

Quadratic Binomial

Answer

Quadratics Polynomial

Answer

Quartic Polynomial

Question 10

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

Accepted Answer

k2 + 9k

Answer

9k² + 9k + 14

Answer

9k2 + 9k

Answer

9k + k2

Question 11

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

Accepted Answer

a² - 8a + 16

Answer

a2 - 16

Answer

a²- 4a - 4a + 16

Answer

a2 + 16

Question 12

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

Accepted Answer

x2 - 100

Answer

x²+ 20x + 100

Answer

x²- 10x + 10x -100

Answer

x² - 20x - 100

Question 13

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

Accepted Answer

$$-x^3-5x^2-3x-15$$

Answer

$$x^3+5x^2+3x+15$$

Answer

$$x^3+5x^2-3x-15$$

Answer

$$-6x^2-3x-15$$

Question 14

Simplify Completely:

Accepted Answer

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

Answer

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

Answer

$$8x^{-14}$$

Answer

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

Question 15

Classify the following polynomials by degree and number of terms.

Accepted Answer

Quadratic Trinomial

Answer

Linear Polynomial

Answer

Linear Trinomial

Answer

Quadratic Polynomial

Question 16

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

Accepted Answer

x² + 2x - 24

Answer

x² + 6x - 4x -24

Answer

x² + 10x - 24

Answer

x² + 10x + 24

Question 17

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

Accepted Answer

12x - 18

Answer

12x - 9

Answer

18x² - 48x - 18

Answer

6x + 6x - 18

Question 18

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

Accepted Answer

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

Answer

$$n^3+4n^2-10n$$

Answer

$$n^3+4n^2-10n-9n^2-36n+90$$

Answer

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

Question 19

Question 19.

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 20

Question 20.

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Properties of Exponents and Polynomials

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