Free Printable Exponent Rules & Polynomials Review

1.

Classify the polynomial below by DEGREE and NUMBER OF TERMS.

-2x^2-9

a)

Quadratic Trinomial

b)

Quadratic Binomial

c)

Cubic Trinomial

d)

Cubic Binomial

2.

Classify the polynomial below by DEGREE and NUMBER OF TERMS.

4x^3

a)

Linear Monomial

b)

Linear Trinomial

c)

Cubic Monomial

d)

Cubic Trinomial

3.

Which of the following is the COMPLETELY simplified form of the expression below. All answers should be in standard form and contain only positive exponents.

\frac{2y^3\cdot3xy^3}{3x^2y^4}

a)

$2xy^2$

b)

$2x^{-1}y^2$

c)

$\frac{2y^2}{x}$

d)

$\frac{2y^5}{x}$

4.

Which of the following is the COMPLETELY simplified form of the expression below. All answers should be in standard form and contain only positive exponents.

3x^4y^3\cdot\left(-2x^{-2}y^5\right)^2

a)

$12y^{13}$

b)

$12xy^{13}$

c)

$-12y^{13}$

d)

$-12xy^{13}$

5.

Simplify the expression below. Make sure final answers are in standard form.

\left(8a^2-6-8a\right)+\left(1-6a-7a^2\right)

a)

$a^2-2a-5$

b)

$-19a^3$

c)

$a^2-14a-5$

d)

$-5-14a+a^2$

6.

Simplify the expression below. Make sure final answers are in standard form.

\left(6x-7x^2+7\right)-\left(5x^2+2x-2x^3-1\right)

a)

$2x^3-12x^2+4x+8$

b)

$-2x^3-2x^2+8x+6$

c)

$-2x^3-12x^2+8x+6$

d)

$2x^3-2x^2+4x+8$

7.

Simplify the expression below. Make sure final answers are in standard form.

\left(3k-6\right)\left(k^2-k+7\right)

a)

$3k^3-3k^2+15k-42$

b)

$3k^3-9k^2+27k-42$

c)

$-3k^2+24k-42$

d)

$-6k^2+27k-42$

8.

Simplify the expression below. Make sure final answers are in standard form.

\left(y+4\right)^2-2y\left(y-1\right)

a)

$3y^2+10y+16$

b)

$-y^2+2y+16$

c)

$y^2+10y+16$

d)

$-y^2+10y+16$

9.

Simplify the expression below. Make sure final answers are in standard form.

\frac{-8c^6d^4+56c^4d^2-24c^2d}{8c^2d}

a)

$-c^4d^3+7c^2d-3$

b)

$-c^4d^4+7c^2d-3cd$

c)

$-c^4d^3+7c^2d-3cd$

d)

$3c^6d^4$

10.

Which of the following is an expression in simplified form to represent the area of the trapezoid above (A = 1/2h(b1 + b2))

a)

$A=270x^7y$

b)

$A=48x^9y^2$

c)

$A=48x^7y$

d)

$A=96x^7y$

Exponent Rules & Polynomials Review

Total questions: 10

Worksheet time: 28mins

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