Question 1

Multiply.
-$(x+8)(x-8)$

Accepted Answer

A)  $x^{2}-16$ 
B)  $x^{2}-64$ 
C)  $x^{2}-16 x-64$ 
D)  $x^{2}+16 x-64$ 
A)  $x^{2}-16$ 
B)  $x^{2}-64$ 
C)  $x^{2}-16 x-64$ 
D)  $x^{2}+16 x-64$

Question 2

Multiply.
-$(p+11 q)(p-11 q)$

Accepted Answer

A)  $p^{2}-22 q^{2}$ 
B)  $p^{2}-22 p q-121 q^{2}$ 
C)  $p^{2}-121 q^{2}$ 
D)  $p^{2}+22 p q-121 q^{2}$ 
A)  $p^{2}-22 q^{2}$ 
B)  $p^{2}-22 p q-121 q^{2}$ 
C)  $p^{2}-121 q^{2}$ 
D)  $p^{2}+22 p q-121 q^{2}$

Question 3

Convert to decimal notation.
-$5.771 \times 10^{-6}$

Accepted Answer

A)  0.00005771 
B)  $-5,771,000$ 
C)  0.0000005771 
D)  0.000005771 
A)  0.00005771 
B)  $-5,771,000$ 
C)  0.0000005771 
D)  0.000005771

Question 4

Multiply.
-$\left(7.1-\mathrm{x}^{12}\right)\left(7.1+\mathrm{x}^{12}\right)$

Accepted Answer

A)  $x^{24}-50.41$ 
B)  $50.41+x^{24}$ 
C)  $50.41-\mathrm{x}^{144}$ 
D)  $50.41-\mathrm{x}^{24}$ 
A)  $x^{24}-50.41$ 
B)  $50.41+x^{24}$ 
C)  $50.41-\mathrm{x}^{144}$ 
D)  $50.41-\mathrm{x}^{24}$

Question 5

Multiply.
-$\left(2 x+\frac{3}{5}\right)\left(2 x-\frac{3}{5}\right)$

Accepted Answer

A)  $4 x^{2}-\frac{12}{5} x-\frac{9}{25}$ 
B)  $2 x^{2}-\frac{9}{25}$ 
C)  $4 x^{2}+\frac{9}{25}$ 
D)  $4 x^{2}-\frac{9}{25}$ 
A)  $4 x^{2}-\frac{12}{5} x-\frac{9}{25}$ 
B)  $2 x^{2}-\frac{9}{25}$ 
C)  $4 x^{2}+\frac{9}{25}$ 
D)  $4 x^{2}-\frac{9}{25}$

Question 6

Collect like terms.
-$7 \mathrm{x}^{9}+8 \mathrm{x}^{3}+2 \mathrm{x}^{9}$

Accepted Answer

A)  $17 x^{3}$ 
B)  Can't be simplified 
C)  $17 x^{21}$ 
D)  $9 x^{9}+8 x^{3}$ 
A)  $17 x^{3}$ 
B)  Can't be simplified 
C)  $17 x^{21}$ 
D)  $9 x^{9}+8 x^{3}$

Question 7

Solve the problem.
-An object's altitude, in meters, is given by the polynomial $\mathrm{h}+\mathrm{vt}-4.9 \mathrm{t}^{2}$, where $\mathrm{h}$ is the height in meters from which the launch occurs, $\mathrm{v}$ is the initial upward speed in meters per second, and $t$ is the number of seconds for which the rocket is airborne. A pebble is shot upward from the top of a building 191 meters tall. If the initial speed is 35 meters per second, how high above the ground will the pebble be after 2 seconds? Round results to the nearest tenth of a meter.

Accepted Answer

A)  397.4 meters 
B)  280.6 meters 
C)  251.2 meters 
D)  241.4 meters 
A)  397.4 meters 
B)  280.6 meters 
C)  251.2 meters 
D)  241.4 meters

Question 8

Multiply.
-$(x+y-4)(x+y+4)$

Accepted Answer

A)  $x^{2}+y^{2}+2 x y-16$ 
B)  $x^{2}+y^{2}+2(x y-4)$ 
C)  $x^{2}+y^{2}+2 x y+16$ 
D)  $x^{2}+y^{2}-16$ 
A)  $x^{2}+y^{2}+2 x y-16$ 
B)  $x^{2}+y^{2}+2(x y-4)$ 
C)  $x^{2}+y^{2}+2 x y+16$ 
D)  $x^{2}+y^{2}-16$

Question 9

Divide.
-$\frac{2 x^{4}-9 x^{3}-2 x^{2}}{x^{2}}$

Accepted Answer

A)  $2 x^{4}-9 x^{3}-2$ 
B)  $2 x^{2}-9 x-2$ 
C)  $1 x^{4}-\frac{9}{2} x^{3}-1$ 
D)  $2 x^{4}-9 x-2 x^{2}$ 
A)  $2 x^{4}-9 x^{3}-2$ 
B)  $2 x^{2}-9 x-2$ 
C)  $1 x^{4}-\frac{9}{2} x^{3}-1$ 
D)  $2 x^{4}-9 x-2 x^{2}$

Question 10

Multiply.
-$(\mathrm{x}-11)(\mathrm{x}-3)$

Accepted Answer

A)  $x-14 x+33$ 
B)  $x^{2}-14 x-14$ 
C)  $x^{2}-17 x+33$ 
D)  $x^{2}-14 x+33$ 
A)  $x-14 x+33$ 
B)  $x^{2}-14 x-14$ 
C)  $x^{2}-17 x+33$ 
D)  $x^{2}-14 x+33$

Question 11

Divide and simplify.
-$\frac{t^{5}}{t^{9}}$

Accepted Answer

A)  $t^{-9}$ 
B)  $\frac{t^{5}}{t^{4}}$ 
C)  $\frac{1}{t^{4}}$ 
D)  $\mathrm{t}^{4}$ 
A)  $t^{-9}$ 
B)  $\frac{t^{5}}{t^{4}}$ 
C)  $\frac{1}{t^{4}}$ 
D)  $\mathrm{t}^{4}$

Question 12

Solve the problem.
-Find a polynomial for the perimeter of the figure.

Accepted Answer

A)  $26 z+10$ 
B)  $46 z$ 
C)  $26 z+20$ 
D)  $22 z+20$ 
A)  $26 z+10$ 
B)  $46 z$ 
C)  $26 z+20$ 
D)  $22 z+20$

Question 13

Multiply mentally.
-$(10 p-1)\left(100 p^{2}+10 p+1\right)$

Accepted Answer

A)  $1000 p^{3}+110 p^{2}-1$ 
B)  $1000 p^{3}-1$ 
C)  $1000 \mathrm{p}^{3}+1$ 
D)  $100 p^{3}-1$ 
A)  $1000 p^{3}+110 p^{2}-1$ 
B)  $1000 p^{3}-1$ 
C)  $1000 \mathrm{p}^{3}+1$ 
D)  $100 p^{3}-1$

Question 14

Subtract.
-$\left(-9 x^{7}+8 x^{9}-8-3 x^{8}\right)-\left(-4-9 x^{8}+4 x^{9}-3 x^{7}\right)$

Accepted Answer

A)  $4 x^{9}-12 x^{8}-12 x^{7}-12$ 
B)  $4 x^{9}+6 x^{8}-6 x^{7}-4$ 
C)  $12 x^{9}-12 x^{8}-12 x^{7}-12$ 
D)  $12 x^{9}-12 x^{8}-12 x^{7}-4$ 
A)  $4 x^{9}-12 x^{8}-12 x^{7}-12$ 
B)  $4 x^{9}+6 x^{8}-6 x^{7}-4$ 
C)  $12 x^{9}-12 x^{8}-12 x^{7}-12$ 
D)  $12 x^{9}-12 x^{8}-12 x^{7}-4$

Question 15

Multiply and simplify.
-$5^{11} \cdot 5^{-3}$

Accepted Answer

A)  $5^{8}$ 
B)  $5^{11}$ 
C)  $5^{5}$ 
D)  $5^{3}$ 
A)  $5^{8}$ 
B)  $5^{11}$ 
C)  $5^{5}$ 
D)  $5^{3}$

Question 16

Multiply mentally.
-$\left(-\mathrm{a}^{2}-12\right)^{2}$

Accepted Answer

A)  $a^{4}-24 a^{2}+144$ 
B)  $a^{4}+144$ 
C)  $-a^{4}+24 a^{2}+144$ 
D)  $a^{4}+24 a^{2}+144$ 
A)  $a^{4}-24 a^{2}+144$ 
B)  $a^{4}+144$ 
C)  $-a^{4}+24 a^{2}+144$ 
D)  $a^{4}+24 a^{2}+144$

Question 17

Evaluate the polynomial.
-$6 x^{3}+4 x^{2}-x+30$, when $x=-2$

Accepted Answer

A)  -12 
B)  -24 
C)  0 
D)  -10 
A)  -12 
B)  -24 
C)  0 
D)  -10

Question 18

Collect like terms and then arrange in descending order.
-$-12 x^{6}-14 x^{4}+12 x^{5}+7 x^{6}-10 x^{5}$

Accepted Answer

A)  $7 x^{15}$ 
B)  $-5 x^{6}+2 x^{5}-14 x^{4}$ 
C)  Can't be simplified 
D)  $105 x$ 
A)  $7 x^{15}$ 
B)  $-5 x^{6}+2 x^{5}-14 x^{4}$ 
C)  Can't be simplified 
D)  $105 x$

Question 19

Add.
-$(\mathrm{r}+4 \mathrm{~s}+1)+(-3 \mathrm{r}+\mathrm{s})+(\mathrm{s}+4)$

Accepted Answer

A)  $-3 r+4 s+5$ 
B)  $-2 r+6 s+5$ 
C)  $-4 r+6 s+5$ 
D)  $-2 r+5 s+5$ 
A)  $-3 r+4 s+5$ 
B)  $-2 r+6 s+5$ 
C)  $-4 r+6 s+5$ 
D)  $-2 r+5 s+5$

Question 20

Solve the problem.
-An oval running track encircles a soccer field that is $\mathrm{x}$ yards wide and $y$ yards long (see figure). The area $\mathrm{A}$ of the region enclosed by the track can be calculated using the equation $\mathrm{A}=\mathrm{xy}+\pi\left(\frac{\mathrm{x}}{2}\right)^{2}$. Calculate the area if $\mathrm{x}=84 \mathrm{yd}$ and $\mathrm{y}=108 \mathrm{yd}$. Use the approximation $\pi \approx 3.14$.

Accepted Answer

A)  $9204 \mathrm{yd}^{2}$ 
B)  $34,025 \mathrm{yd}^{2}$ 
C)  $14,611 \mathrm{yd}^{2}$ 
D)  $31,228 \mathrm{yd}^{2}$ 
A)  $9204 \mathrm{yd}^{2}$ 
B)  $34,025 \mathrm{yd}^{2}$ 
C)  $14,611 \mathrm{yd}^{2}$ 
D)  $31,228 \mathrm{yd}^{2}$

Multiply. - $(x+8)(x-8)$

Multiply. - $(p+11 q)(p-11 q)$

Convert to decimal notation. - $5.771 \times 10^{-6}$

Multiply. - $\left(7.1-\mathrm{x}^{12}\right)\left(7.1+\mathrm{x}^{12}\right)$

Multiply. - $\left(2 x+\frac{3}{5}\right)\left(2 x-\frac{3}{5}\right)$

Collect like terms. - $7 \mathrm{x}^{9}+8 \mathrm{x}^{3}+2 \mathrm{x}^{9}$

Multiply. - $(x+y-4)(x+y+4)$

Divide. - $\frac{2 x^{4}-9 x^{3}-2 x^{2}}{x^{2}}$

Multiply. - $(\mathrm{x}-11)(\mathrm{x}-3)$

Divide and simplify. - $\frac{t^{5}}{t^{9}}$

Solve the problem. -Find a polynomial for the perimeter of the figure.

Multiply mentally. - $(10 p-1)\left(100 p^{2}+10 p+1\right)$

Subtract. - $\left(-9 x^{7}+8 x^{9}-8-3 x^{8}\right)-\left(-4-9 x^{8}+4 x^{9}-3 x^{7}\right)$

Multiply and simplify. - $5^{11} \cdot 5^{-3}$

Multiply mentally. - $\left(-\mathrm{a}^{2}-12\right)^{2}$

Evaluate the polynomial. - $6 x^{3}+4 x^{2}-x+30$ , when $x=-2$

Collect like terms and then arrange in descending order. - $-12 x^{6}-14 x^{4}+12 x^{5}+7 x^{6}-10 x^{5}$

Add. - $(\mathrm{r}+4 \mathrm{~s}+1)+(-3 \mathrm{r}+\mathrm{s})+(\mathrm{s}+4)$

Introduction to Real Numbers and Algebraic Expressions

Solving Equations and Inequalities

Graphs of Linear Equations

Polynomials: Factoring

Rational Expressions and Equations

Systems of Equations

Radical Expressions and Equations

Quadratic Equations

Equations of Lines and Simplifying Radical Expressions

Filters

Exam 4: Polynomials: Operations

Multiply. - (x+8)(x−8)(x+8)(x-8)(x+8)(x−8)

Multiply. - (p+11q)(p−11q)(p+11 q)(p-11 q)(p+11q)(p−11q)

Convert to decimal notation. - 5.771×10−65.771 \times 10^{-6}5.771×10−6

Multiply. - (7.1−x12)(7.1+x12)\left(7.1-\mathrm{x}^{12}\right)\left(7.1+\mathrm{x}^{12}\right)(7.1−x12)(7.1+x12)

Multiply. - (2x+35)(2x−35)\left(2 x+\frac{3}{5}\right)\left(2 x-\frac{3}{5}\right)(2x+53​)(2x−53​)

Collect like terms. - 7x9+8x3+2x97 \mathrm{x}^{9}+8 \mathrm{x}^{3}+2 \mathrm{x}^{9}7x9+8x3+2x9

Multiply. - (x+y−4)(x+y+4)(x+y-4)(x+y+4)(x+y−4)(x+y+4)

Divide. - 2x4−9x3−2x2x2\frac{2 x^{4}-9 x^{3}-2 x^{2}}{x^{2}}x22x4−9x3−2x2​

Multiply. - (x−11)(x−3)(\mathrm{x}-11)(\mathrm{x}-3)(x−11)(x−3)

Divide and simplify. - t5t9\frac{t^{5}}{t^{9}}t9t5​