Question 1

Evaluate the polynomial.
-$8-\frac{1}{7} x$, when $x=0$

Accepted Answer

A)  0 
B)  $-\frac{1}{7}$ 
C)  8 
D)  -8 
A)  0 
B)  $-\frac{1}{7}$ 
C)  8 
D)  -8

Question 2

Evaluate the polynomial.
-$-2 x^{3}-5 x^{2}-x-44$, when $x=-2$

Accepted Answer

A)  -58 
B)  -46 
C)  -56 
D)  -16 
A)  -58 
B)  -46 
C)  -56 
D)  -16

Question 3

Multiply.
-$\left(5 \mathrm{~m}^{2}\right)\left(5 \mathrm{~m}^{3}\right)$

Accepted Answer

A)  $25 \mathrm{~m}^{5}$ 
B)  $-25 m$ 
C)  $25 \mathrm{~m}$ 
D)  $-25 m^{5}$ 
A)  $25 \mathrm{~m}^{5}$ 
B)  $-25 m$ 
C)  $25 \mathrm{~m}$ 
D)  $-25 m^{5}$

Question 4

Multiply and simplify.
-$\left(x^{3} y^{2}\right)\left(x^{4} y\right)$

Accepted Answer

A)  $x^{7} y^{2}$ 
B)  $x^{12} y^{2}$ 
C)  $2 x^{7} 2 y^{3}$ 
D)  $x^{7} y^{3}$ 
A)  $x^{7} y^{2}$ 
B)  $x^{12} y^{2}$ 
C)  $2 x^{7} 2 y^{3}$ 
D)  $x^{7} y^{3}$

Question 5

Solve the problem.
-The weight $W$ (in ounces) of a fish caught in a certain lake is given by $W=0.001 x^{3}+0.03 x^{2}+1.5$, where $x$ is the length in inches. Use the graph below to find the approximate value of $0.001 x^{3}+0.03 x^{2}+1.5$ for $x=17$.

Accepted Answer

A)  13 ounces 
B)  15 ounces 
C)  19 ounces 
D)  17 ounces 
A)  13 ounces 
B)  15 ounces 
C)  19 ounces 
D)  17 ounces

Question 6

Find the total area of all shaded rectangles.
-

Accepted Answer

A)  $x^{2}+8 x+32$ 
B)  $x^{2}+12$ 
C)  $x^{2}+12 x+32$ 
D)  $x^{2}+32$ 
A)  $x^{2}+8 x+32$ 
B)  $x^{2}+12$ 
C)  $x^{2}+12 x+32$ 
D)  $x^{2}+32$

Question 7

Multiply and simplify.
-$(3 x)^{0}(3 x)^{17}$

Accepted Answer

A)  $(3 x)^{17}$ 
B)  $(3 x)^{0}$ 
C)  $3 x^{17}$ 
D)  $3 x^{0}$ 
A)  $(3 x)^{17}$ 
B)  $(3 x)^{0}$ 
C)  $3 x^{17}$ 
D)  $3 x^{0}$

Question 8

Multiply.
-$10 x^{4}\left(-4 x^{4}+12 x^{2}-8\right)$

Accepted Answer

A)  $-40 x^{8}+120 x^{6}-80 x^{4}$ 
B)  $-40 x^{4}+120 x^{2}-80$ 
C)  $-40 x^{8}+12 x^{2}-8$ 
D)  $-40 x^{8}+120 x^{6}$ 
A)  $-40 x^{8}+120 x^{6}-80 x^{4}$ 
B)  $-40 x^{4}+120 x^{2}-80$ 
C)  $-40 x^{8}+12 x^{2}-8$ 
D)  $-40 x^{8}+120 x^{6}$

Question 9

Multiply.
-$6 x^{3}(3 x-5)$

Accepted Answer

A)  $18 x^{4}-5$ 
B)  $-12 x^{3}$ 
C)  $18 x-30$ 
D)  $18 x^{4}-30 x^{3}$ 
A)  $18 x^{4}-5$ 
B)  $-12 x^{3}$ 
C)  $18 x-30$ 
D)  $18 x^{4}-30 x^{3}$

Question 10

Simplify.
-$\left(-3 p^{4} q^{4} r^{4}\right)^{4}$

Accepted Answer

A)  $(-3)^{4} \mathrm{p}^{16} \mathrm{q}^{16} \mathrm{r}_{\mathrm{r}} 16$ 
B)  $(-3)^{4} p^{8} q^{8} r^{8}$ 
C)  $(-3)^{16} \mathrm{p}^{16} \mathrm{q}^{16_{\mathrm{r}} 16}$ 
D)  $-12 p^{8} q^{8} r^{8}$ 
A)  $(-3)^{4} \mathrm{p}^{16} \mathrm{q}^{16} \mathrm{r}_{\mathrm{r}} 16$ 
B)  $(-3)^{4} p^{8} q^{8} r^{8}$ 
C)  $(-3)^{16} \mathrm{p}^{16} \mathrm{q}^{16_{\mathrm{r}} 16}$ 
D)  $-12 p^{8} q^{8} r^{8}$

Question 11

Solve the problem. Express the answer in scientific notation to two decimals unless requested otherwise.
-The national debt of a country is $\$ 36,470,000,000$ and the population is $5,210,000$. What is the debt per person? Write answer without exponents.

Accepted Answer

A)  $\$ 7000$ 
B)  $\$ 190,008,700$ 
C)  $\$ 70,000$ 
D)  $\$ 700$ 
A)  $\$ 7000$ 
B)  $\$ 190,008,700$ 
C)  $\$ 70,000$ 
D)  $\$ 700$

Question 12

Identify the degree of each term and the degree of the polynomial.
-$9 x-2 x^{2}+4-4 x^{3}$

Accepted Answer

A)  $1,-2,0,-3 ; 1$ 
B)  $3,2,1,0 ; 3$ 
C)  $1,2,0,3 ; 3$ 
D)  $9,-2,4,-4 ; 9$ 
A)  $1,-2,0,-3 ; 1$ 
B)  $3,2,1,0 ; 3$ 
C)  $1,2,0,3 ; 3$ 
D)  $9,-2,4,-4 ; 9$

Question 13

What is the meaning of the expression?
-$\left(\frac{2}{5}\right)^{4}$

Accepted Answer

A)  $\frac{2 \cdot 2 \cdot 2 \cdot 2}{5}$ 
B)  $\left(\frac{2}{5}\right)\left(\frac{2}{5}\right)\left(\frac{2}{5}\right)\left(\frac{2}{5}\right)$ 
C)  $4\left(\frac{2}{5}\right)$ 
D)  $\frac{2}{5 \cdot 5 \cdot 5 \cdot 5}$ 
A)  $\frac{2 \cdot 2 \cdot 2 \cdot 2}{5}$ 
B)  $\left(\frac{2}{5}\right)\left(\frac{2}{5}\right)\left(\frac{2}{5}\right)\left(\frac{2}{5}\right)$ 
C)  $4\left(\frac{2}{5}\right)$ 
D)  $\frac{2}{5 \cdot 5 \cdot 5 \cdot 5}$

Question 14

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

Accepted Answer

A)  $35 a+9$ 
B)  $44 \mathrm{a}$ 
C)  $35 a+12$ 
D)  44 
A)  $35 a+9$ 
B)  $44 \mathrm{a}$ 
C)  $35 a+12$ 
D)  44

Question 15

Simplify.
-$-3\left(x^{4} y\right)^{-3}$

Accepted Answer

A)  $\frac{-3}{x^{12} y^{3}}$ 
B)  $\frac{1}{(-3)^{3} x^{12} y^{3}}$ 
C)  $-3 x^{12} y^{3}$ 
D)  $-9 x^{4} y^{3}$ 
A)  $\frac{-3}{x^{12} y^{3}}$ 
B)  $\frac{1}{(-3)^{3} x^{12} y^{3}}$ 
C)  $-3 x^{12} y^{3}$ 
D)  $-9 x^{4} y^{3}$

Question 16

Multiply mentally
-$\left(4 x^{2}+7\right)\left(x^{2}+4\right)$

Accepted Answer

A)  $4 x^{4}+23 x^{2}+28$ 
B)  $4 x^{3}+16 x^{2}+7 x+28$ 
C)  $4 x^{2}+22 x+28$ 
D)  $4 x^{2}+23 x+28$ 
A)  $4 x^{4}+23 x^{2}+28$ 
B)  $4 x^{3}+16 x^{2}+7 x+28$ 
C)  $4 x^{2}+22 x+28$ 
D)  $4 x^{2}+23 x+28$

Question 17

Multiply.
-$(3 x+4)(x+11)$

Accepted Answer

A)  $3 x^{2}+35 x+44$ 
B)  $3 x^{2}+37 x+37$ 
C)  $3 x^{2}+44 x+37$ 
D)  $3 x^{2}+37 x+44$ 
A)  $3 x^{2}+35 x+44$ 
B)  $3 x^{2}+37 x+37$ 
C)  $3 x^{2}+44 x+37$ 
D)  $3 x^{2}+37 x+44$

Question 18

Evaluate the polynomial.
-$x^{2}+3 y^{2}+2 x y$ for $x=6$ and $y=1$

Accepted Answer

A)  48 
B)  39 
C)  51 
D)  57 
A)  48 
B)  39 
C)  51 
D)  57

Question 19

Write the polynomial in two ways: with its missing terms and by leaving space for them.
-$-7 x^{2}$

Accepted Answer

A)  $-7 x^{2}+0 x^{0}$
$-7 x^{2}$ 
B)  $-7 x^{2}+0 x+0 x^{0}$
$-7 x^{2}$ 
C)  $-7 x^{2}+0 x$
$-7 x^{2}$ 
D)  None missing 
A)  $-7 x^{2}+0 x^{0}$
$-7 x^{2}$ 
B)  $-7 x^{2}+0 x+0 x^{0}$
$-7 x^{2}$ 
C)  $-7 x^{2}+0 x$
$-7 x^{2}$ 
D)  None missing

Question 20

Solve the problem.
-Liquid propane fuel is frequently stored in tanks that are shaped like the one shown in the figure below. The volume $\mathrm{V}$ of the tank can be computed using the formula $\mathrm{V}=\frac{4}{3} \pi\left(\frac{\mathrm{x}}{2}\right)^{3}+\pi y\left(\frac{\mathrm{x}}{2}\right)^{2}$. If $\mathrm{x}=$ $3.4 \mathrm{ft}$ and $\mathrm{y}=5.8 \mathrm{ft}$, calculate the volume of the tank. Use the approximation $\pi \approx 3.14$.

Accepted Answer

A)  $73 \mathrm{ft}^{3}$ 
B)  $135 \mathrm{ft}^{3}$ 
C)  $30 \mathrm{ft}^{3}$ 
D)  $37 \mathrm{ft}^{3}$ 
A)  $73 \mathrm{ft}^{3}$ 
B)  $135 \mathrm{ft}^{3}$ 
C)  $30 \mathrm{ft}^{3}$ 
D)  $37 \mathrm{ft}^{3}$

Evaluate the polynomial. - $8-\frac{1}{7} x$ , when $x=0$

Evaluate the polynomial. - $-2 x^{3}-5 x^{2}-x-44$ , when $x=-2$

Multiply. - $\left(5 \mathrm{~m}^{2}\right)\left(5 \mathrm{~m}^{3}\right)$

Multiply and simplify. - $\left(x^{3} y^{2}\right)\left(x^{4} y\right)$

Find the total area of all shaded rectangles. -

Multiply and simplify. - $(3 x)^{0}(3 x)^{17}$

Multiply. - $10 x^{4}\left(-4 x^{4}+12 x^{2}-8\right)$

Multiply. - $6 x^{3}(3 x-5)$

Simplify. - $\left(-3 p^{4} q^{4} r^{4}\right)^{4}$

Solve the problem. Express the answer in scientific notation to two decimals unless requested otherwise. -The national debt of a country is $\$ 36,470,000,000$ and the population is $5,210,000$ . What is the debt per person? Write answer without exponents.

Identify the degree of each term and the degree of the polynomial. - $9 x-2 x^{2}+4-4 x^{3}$

What is the meaning of the expression? - $\left(\frac{2}{5}\right)^{4}$

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

Simplify. - $-3\left(x^{4} y\right)^{-3}$

Multiply mentally - $\left(4 x^{2}+7\right)\left(x^{2}+4\right)$

Multiply. - $(3 x+4)(x+11)$

Evaluate the polynomial. - $x^{2}+3 y^{2}+2 x y$ for $x=6$ and $y=1$

Write the polynomial in two ways: with its missing terms and by leaving space for them. - $-7 x^{2}$

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Introduction to Real Numbers and Algebraic Expressions

Solving Equations and Inequalities

Graphs of Linear Equations

Polynomials: Factoring

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Converting Units of Measurement

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Exam 10: Polynomials: Operations

Evaluate the polynomial. - 8−17x8-\frac{1}{7} x8−71​x , when x=0x=0x=0

Evaluate the polynomial. - −2x3−5x2−x−44-2 x^{3}-5 x^{2}-x-44−2x3−5x2−x−44 , when x=−2x=-2x=−2

Multiply. - (5 m2)(5 m3)\left(5 \mathrm{~m}^{2}\right)\left(5 \mathrm{~m}^{3}\right)(5 m2)(5 m3)

Multiply and simplify. - (x3y2)(x4y)\left(x^{3} y^{2}\right)\left(x^{4} y\right)(x3y2)(x4y)