Free Printable TEST ADD, SUBTRACT, AND MULTIPLY POLYNOMIALS

1.

Simplify $\left(3x^4y\ +2x^3y^2-8x^2y^3+xy^4\right)-\left(-8x^4y+5x^2y^3\right)$

a)

$11x^4y-2x^3y^2-8x^2y^3+xy^4$

b)

$11x^4y+2x^3y^2-13x^2y^3+xy^4$

c)

$11x^4y-2x^3y^2+8x^2y^3-xy^4$

d)

$-11x^4y+2x^3y^2-8x^2y^3+xy^4$

2.

Simply $\left(9a^5b+3a^3b^3-9ab^5\right)+\left(4a^5b-8a^3b^3+6ab^5\right)$

a)

$13a^5b+5a^3b^3-3ab^5$

b)

$13a^5b-11a^3b^3+3ab^5$

c)

$13a^5b-5a^3b^3-15ab^5$

d)

$13a^5b-5a^3b^3-3ab^5$

3.

Find the perimeter.

a)

39x - 7

b)

38x + 7

c)

39x + 7

d)

38x -9

4.

From 1991 through 1998, the number of commercial C and education E Internet websites can be modeled by the following equations, where t is the number of years since 1991.

C = 0.321t²– 1.036t + 0.698

E = 0.099t² – 0.120t + 0.295

Find a model for the total number of commercial and education sites.

a)

$T=-0.42t^2+1.156t-0.993$

b)

$T=0.52t^2+1.156t+0.993$

c)

$T=0.42t^2-1.156t+0.993$

d)

$T=0.42t^2+1.165t-0.993$

5.

From 1890 through 1990, the total number of people T and the number of men M in the US labor force can be modeled by the following equations, where t is the number of years since 1890.

$T=0.0086t^2+0.087t+25.375$
$M=0.0016t^2+0.315t+19.467$

Find a model for the number of women W in the US labor force.

a)

$W=0.007t^2-0.228t+5.908$

b)

$W=-0.007t^2-0.228t+5.908$

c)

$W=0.008t^2-0.282t+5.908$

d)

$W=0.007t^2+0.228t-5.908$

6.

A triangle has 3 sides with lengths 8x + 6, 5x – 5, and -6x + 12. What is the perimeter of the triangle?

a)

6x-13

b)

7x-13

c)

8x -12

d)

7x +13

7.

FIND THE AREA OF THE RECTANGULAR PRISM.

a)

$3x^2-8x$

b)

$3x^2+8x$

c)

$3x\ -8$

d)

$3x^2+8$

8.

The bottles of beer sold since June at a food plant can be modeled by the function N(m) = 10m + 300 and the cost per bottle can be modeled by $C\left(m\right)=0.6m^2-5m+24\$ , where m is the number of months since June. According to this model, what is the total amount of revenue generated by the plant’s beer production on October?

a)

$R\left(5\right)=6m^3+130m^2-1240m+7200=5000$

The total amount of revenue generated by the plant's beer production in October is $5,000.

b)

There is no amount of revenue.

c)

$R\left(4\right)=6m^3+130m^2-1240m+7200=4704$

The total amount of revenue generated by the plant's beer production in October is $4,704.

d)

$R\left(4\right)=6m^3+130m^2-1260m+7200=4,624$

The total amount of revenue generated by the plant's beer production in October is $4,624.

9.

Simplify: $\left(4x^3y-5x^2y^2\right)\left(5x^3y+x^2y^2\right)$

a)

$20x^6y^2-21x^5y^3-5x^4y^4$

b)

$20x^6y^2-21x^4y^2+5x^3y^3$

c)

$20x^6y^2+21x^5y^3+5x^4y^4$

10.

(-2x² + 4x + 4)(3x - 5)?

a)

-6x³ + 12x² + 15x – 5

b)

-6x³ + 22x² + 32x – 20

c)

. -6x³ + 2x² – 8x – 5

d)

-6x³ + 22x² - 8x – 20

11.

Find the product:
(x + 12)(x - 12)

a)

x² - 144

b)

x² + 144

c)

x² + 12x - 144

d)

x² - 12x + 144

12.

The number of tennis rackets sold since 2008 at a sports store can be modeled by the function N(t) = 6t + 21 and the price per tennis racket can be modeled by $P\left(t\right)=t^2-7t+30$ , where t is the number of years since 2008. According to this model, what is the total amount of revenue generated by the store’s tennis racket sales in the year 2011?

a)

$R\left(3\right)=6t^3-21t^2+33t+630\ =702$

The total amount of revenue generated by the store's tennis racket sales in the year 2011 is $702.

b)

$R\left(3\right)=6t^3-\ 24t^2+33t+630\ =675$

The total amount of revenue generated by the store's tennis racket sales in the year 2011 is $675.

c)

$R\left(4\right)=6t^3-21t^2+33t+630\ =810$

The total amount of revenue generated by the store's tennis racket sales in the year 2011 is $810.

d)

$R\left(4\right)=6t^3-24t^2+33t+630\ =\ 762$ The total amount of revenue generated by the store's tennis racket sales in the year 2011 is $762.

TEST ADD, SUBTRACT, AND MULTIPLY POLYNOMIALS

Total questions: 12

Worksheet time: 3hrs 0mins

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