Free Printable Polynomial Expressions

1.

Identify the number of coefficients and constant term of the following expression: $16x^2-12x+20$

a)

Coefficients: 16, 20
Constant: -12

b)

Coefficients: 16, -12
Constant: 20

c)

Coefficients: -12, 20
Constant: 16

2.

Which expression below represents the perimeter of the rectangle?

a)

24x² - 38x - 42

b)

22x - 2

c)

11x - 1

d)

22x + 2

3.

Find the difference.

(2x²- 2x + 3) - (3x²+ 4x - 5)

a)

-x² + 2x - 2

b)

x²+ 5x - 7

c)

-x²- 6x + 8

d)

x² + 11x - 4

4.

Simplify the expression $3x^2+2\left(5-x^2\right)-8\left(x^2+9\right)$ .

a)

$-3x^2-82$

b)

$-13x^2-62$

c)

$-7x^2-62$

d)

$-7x^2-82$

5.

Simplify the following expression: $-3x\left(x+14\right)$

Classify the simplified expression. (Check all that apply)

a)

Quadratic

b)

Not Quadratic

c)

Monomial

d)

Binomial

e)

Trinomial

6.

Which of the following is a quadratic expression that contains 3 terms, coefficients of 7 & 5, and has a constant of 10?

a)

$7x^2+10x\ +\ 5$

b)

$7x^5+10$

c)

$5x^3+7x^2+10$

d)

$5x^2+7x^{ }+10$

7.

Simplify the following expression: $8x^2-2x\left(1+4x\right)+2$

Determine if the simplified expression is quadratic.

a)

Yes, it's quadratic because the highest power is 2.

b)

Yes, it's quadratic because there are 2 terms.

c)

Yes, it's quadratic because the constant is 2.

d)

The simplified expression is not quadratic.

8.

Translate the verbal expression into an algebraic expression.

The product of 7 and the square of x, increased by the difference of 5 and x².

a)

$7\left(2x\right)+\left(x^2-5\right)$

b)

$7\left(x^2+5-x^2\right)$

c)

$\left(5+x^2\right)-7x^2$

d)

$7x^2+\left(5-x^2\right)$

9.

Translate the verbal expression:

"Half the sum of 12 and x² decreased by one-third x"

Identify the coefficients and constant term of the simplified expression.

a)

Coefficients: 1/2, -1/3

Constant: 6

b)

Coefficients: 6, 1

Constant: -1/3

c)

Coefficients: 1, -1/3

Constant: 6

d)

Coefficients: 6, -1/3

Constant: 1/2

10.

Translate the verbal expression into an algebraic expression.

"The surface area of a cube is the product of 6 and the square of the side length, x."

Classify the simplified expression. (Check all that apply.)

a)

Quadratic

b)

Not quadratic

c)

Monomial

d)

Binomial

e)

Trinomial

Polynomial Expressions

Total questions: 10

Worksheet time: 10mins

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