Question 1

Identify the like terms in the polynomial.
-$5 z^{4}-8 z^{5}-8 z^{3}+3 z^{5}+2 z^{4}+4$

Accepted Answer

A)  $-8 z^{5}$ and $3 z^{5} ; 5 z^{4}$ and $2 z^{4}$ 
B)  $z^{5}, z^{4}, z^{3}$, and 4 
C)  $-8 z^{5}$ and $3 z^{5} ; 5 z^{4}$ and $2 z^{4} ;-8 z^{3}$ and 4 
D)  None of the terms are like. 
A)  $-8 z^{5}$ and $3 z^{5} ; 5 z^{4}$ and $2 z^{4}$ 
B)  $z^{5}, z^{4}, z^{3}$, and 4 
C)  $-8 z^{5}$ and $3 z^{5} ; 5 z^{4}$ and $2 z^{4} ;-8 z^{3}$ and 4 
D)  None of the terms are like.

Question 2

Solve the problem.
-The average weight $W$ (in ounces) of a fish caught in a certain lake is given by $\mathrm{W}=0.001 \mathrm{x}^{3}+0.03 \mathrm{x}^{2}+1.4$, where $\mathrm{x}$ is the length in inches. Use the graph below to estimate the weight of a fish from the lake that is 14 inches long.

Accepted Answer

A)  10 ounces 
B)  14 ounces 
C)  12 ounces 
D)  8 ounces 
A)  10 ounces 
B)  14 ounces 
C)  12 ounces 
D)  8 ounces

Question 3

Evaluate the polynomial.
-$-\mathrm{xyz}$ for $\mathrm{x}=1, \mathrm{y}=-1$, and $\mathrm{z}=2$

Accepted Answer

A)  2 
B)  -2 
C)  16 
D)  1 
A)  2 
B)  -2 
C)  16 
D)  1

Question 4

Identify the degree of each term and the degree of the polynomial.
-$4 x-9$

Accepted Answer

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

Question 5

If the number in the statement is written in scientific notation, write it without exponents. If it is written without exponents, write it in scientific notation.
-The speed of light is $1.86 \times 10^{5}$ miles per hour.

Accepted Answer

A)  $1,860,000$ 
B)  $18,600,000$ 
C)  186,000 
D)  0.0000186 
A)  $1,860,000$ 
B)  $18,600,000$ 
C)  186,000 
D)  0.0000186

Question 6

Multiply mentally
-$(s-7)\left(s^{2}+2 s+6\right)$

Accepted Answer

A)  $s^{3}-9 s^{2}+20 s-42$ 
B)  $s^{3}-5 s^{2}-8 s-42$ 
C)  $s^{3}-5 s^{2}-8 s+42$ 
D)  $s^{3}-5 s^{2}+20 s-42$ 
A)  $s^{3}-9 s^{2}+20 s-42$ 
B)  $s^{3}-5 s^{2}-8 s-42$ 
C)  $s^{3}-5 s^{2}-8 s+42$ 
D)  $s^{3}-5 s^{2}+20 s-42$

Question 7

Evaluate.
-$4^{0}$

Accepted Answer

A)  0 
B)  1 
C)  4 
D)  -1 
A)  0 
B)  1 
C)  4 
D)  -1

Question 8

Provide an appropriate response.
- $\left(\frac{\mathrm{r}}{\mathrm{s}}\right)^{3}=\frac{\mathrm{r}^{3}}{\mathrm{~s}}$

Accepted Answer

A) True 
 B)False

Question 9

Multiply.
-$\left(\frac{3}{5}-10 x^{4}\right)\left(\frac{3}{5}+10 x^{4}\right)$

Accepted Answer

A)  $\frac{9}{25}-100 x^{16}$ 
B)  $\frac{9}{25}-100 x^{4}$ 
C)  $\frac{9}{25}-100 x^{8}$ 
D)  $\frac{9}{25}+100 x^{16}$ 
A)  $\frac{9}{25}-100 x^{16}$ 
B)  $\frac{9}{25}-100 x^{4}$ 
C)  $\frac{9}{25}-100 x^{8}$ 
D)  $\frac{9}{25}+100 x^{16}$

Question 10

Evaluate the polynomial.
-$x^{2}+y^{2}-z^{2}$ for $x=1, y=3$, and $\mathrm{z}=4$

Accepted Answer

A)  10 
B)  26 
C)  -6 
D)  9 
A)  10 
B)  26 
C)  -6 
D)  9

Question 11

Multiply mentally
-$\left(2 x^{3}+3\right)^{2}$

Accepted Answer

A)  $4 x^{6}+9$ 
B)  $4 x^{9}+12 x^{3}+9$ 
C)  $4 x^{6}+6 x^{3}+9$ 
D)  $4 x^{6}+12 x^{3}+9$ 
A)  $4 x^{6}+9$ 
B)  $4 x^{9}+12 x^{3}+9$ 
C)  $4 x^{6}+6 x^{3}+9$ 
D)  $4 x^{6}+12 x^{3}+9$

Question 12

Multiply.
-$(7 m-4 w)(7 m+4 w)$

Accepted Answer

A)  $49 m^{2}-56 m w-16 w^{2}$ 
B)  $7 m^{2}-4 w^{2}$ 
C)  $49 m^{2}+56 m w-16 w^{2}$ 
D)  $49 m^{2}-16 w^{2}$ 
A)  $49 m^{2}-56 m w-16 w^{2}$ 
B)  $7 m^{2}-4 w^{2}$ 
C)  $49 m^{2}+56 m w-16 w^{2}$ 
D)  $49 m^{2}-16 w^{2}$

Question 13

Identify the like terms in the polynomial.
-$5 x^{4}+6 x^{3}-4 x^{4}$

Accepted Answer

A)  $5 x^{4}$ and $4 x^{4}$ 
B)  None of the terms are like. 
C)  $5 x^{4}$ and $-4 x^{4}$ 
D)  $x^{4}$ 
A)  $5 x^{4}$ and $4 x^{4}$ 
B)  None of the terms are like. 
C)  $5 x^{4}$ and $-4 x^{4}$ 
D)  $x^{4}$

Question 14

Solve the problem. Express the answer in scientific notation to two decimals unless requested otherwise.
-The national debt of a small country is $7,480,000,000 and the population is 2,187,000. What is the amount of debt per person?

Accepted Answer

A)  $\$ 3.42$ 
B)  $\$ 3.42 \times 10^{6}$ 
C)  $\$ 3.42 \times 10^{3}$ 
D)  $\$ 34.20$ 
A)  $\$ 3.42$ 
B)  $\$ 3.42 \times 10^{6}$ 
C)  $\$ 3.42 \times 10^{3}$ 
D)  $\$ 34.20$

Question 15

What is the meaning of the expression?
-$0.01^{3}$

Accepted Answer

A)  $0.01 \cdot 0.01 \cdot 0.01$ 
B)  $0.00000001$ 
C)  $3 \cdot 0.01$ 
D)  $0.000008$ 
A)  $0.01 \cdot 0.01 \cdot 0.01$ 
B)  $0.00000001$ 
C)  $3 \cdot 0.01$ 
D)  $0.000008$

Question 16

Solve the problem.
-An oval running track encircles a soccer field that is $x$ 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 $\mathrm{x}=73 \mathrm{yd}$ and $\mathrm{y}=108 \mathrm{yd}$. Use the approximation $\pi \approx 3.14$.

Accepted Answer

A)  $7999 \mathrm{yd}^{2}$ 
B)  $12,067 \mathrm{yd}^{2}$ 
C)  $24,617 \mathrm{yd}^{2}$ 
D)  $28,939 \mathrm{yd}^{2}$ 
A)  $7999 \mathrm{yd}^{2}$ 
B)  $12,067 \mathrm{yd}^{2}$ 
C)  $24,617 \mathrm{yd}^{2}$ 
D)  $28,939 \mathrm{yd}^{2}$

Question 17

Evaluate the polynomial.
-$-2 x^{2}-y^{2}+x y$ for $x=-3$ and $y=5$

Accepted Answer

A)  -8 
B)  28 
C)  -58 
D)  -28 
A)  -8 
B)  28 
C)  -58 
D)  -28

Question 18

Find the degree of the polynomial.
-$15 x^{8} y z-5 x^{6} y^{2}+x^{5} y z^{3}$

Accepted Answer

A)  8 
B)  5 
C)  10 
D)  6 
A)  8 
B)  5 
C)  10 
D)  6

Question 19

Multiply or divide and write scientific notation for the result.
-$\frac{10 \times 10^{-5}}{2 \times 10^{-7}}$

Accepted Answer

A)  $10 \times 10^{2}$ 
B)  $10 \times 10^{-12}$ 
C)  $5 \times 10^{2}$ 
D)  $5 \times 10^{-12}$ 
A)  $10 \times 10^{2}$ 
B)  $10 \times 10^{-12}$ 
C)  $5 \times 10^{2}$ 
D)  $5 \times 10^{-12}$

Question 20

Evaluate.
-$a^{1}$

Accepted Answer

A)  0 
B)  1 
C)  -1 
D)  a 
A)  0 
B)  1 
C)  -1 
D)  a

Identify the like terms in the polynomial. - $5 z^{4}-8 z^{5}-8 z^{3}+3 z^{5}+2 z^{4}+4$

Evaluate the polynomial. - $-\mathrm{xyz}$ for $\mathrm{x}=1, \mathrm{y}=-1$ , and $\mathrm{z}=2$

Identify the degree of each term and the degree of the polynomial. - $4 x-9$

If the number in the statement is written in scientific notation, write it without exponents. If it is written without exponents, write it in scientific notation. -The speed of light is $1.86 \times 10^{5}$ miles per hour.

Multiply mentally - $(s-7)\left(s^{2}+2 s+6\right)$

Evaluate. - $4^{0}$

Provide an appropriate response. - $\left(\frac{\mathrm{r}}{\mathrm{s}}\right)^{3}=\frac{\mathrm{r}^{3}}{\mathrm{~s}}$

Multiply. - $\left(\frac{3}{5}-10 x^{4}\right)\left(\frac{3}{5}+10 x^{4}\right)$

Evaluate the polynomial. - $x^{2}+y^{2}-z^{2}$ for $x=1, y=3$ , and $\mathrm{z}=4$

Multiply mentally - $\left(2 x^{3}+3\right)^{2}$

Multiply. - $(7 m-4 w)(7 m+4 w)$

Identify the like terms in the polynomial. - $5 x^{4}+6 x^{3}-4 x^{4}$

Solve the problem. Express the answer in scientific notation to two decimals unless requested otherwise. -The national debt of a small country is $7,480,000,000 and the population is 2,187,000. What is the amount of debt per person?

What is the meaning of the expression? - $0.01^{3}$

Evaluate the polynomial. - $-2 x^{2}-y^{2}+x y$ for $x=-3$ and $y=5$

Find the degree of the polynomial. - $15 x^{8} y z-5 x^{6} y^{2}+x^{5} y z^{3}$

Multiply or divide and write scientific notation for the result. - $\frac{10 \times 10^{-5}}{2 \times 10^{-7}}$

Evaluate. - $a^{1}$

Whole Numbers

Fraction Notation

Decimal Notation

Percent Notation

Data, Graphs, and Statistics

Geometry

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

Converting Units of Measurement

Filters

Exam 10: Polynomials: Operations

Identify the like terms in the polynomial. - 5z4−8z5−8z3+3z5+2z4+45 z^{4}-8 z^{5}-8 z^{3}+3 z^{5}+2 z^{4}+45z4−8z5−8z3+3z5+2z4+4

Evaluate the polynomial. - −xyz-\mathrm{xyz}−xyz for x=1,y=−1\mathrm{x}=1, \mathrm{y}=-1x=1,y=−1 , and z=2\mathrm{z}=2z=2

Identify the degree of each term and the degree of the polynomial. - 4x−94 x-94x−9

If the number in the statement is written in scientific notation, write it without exponents. If it is written without exponents, write it in scientific notation. -The speed of light is 1.86×1051.86 \times 10^{5}1.86×105 miles per hour.

Multiply mentally - (s−7)(s2+2s+6)(s-7)\left(s^{2}+2 s+6\right)(s−7)(s2+2s+6)

Evaluate. - 404^{0}40

Provide an appropriate response. - (rs)3=r3 s\left(\frac{\mathrm{r}}{\mathrm{s}}\right)^{3}=\frac{\mathrm{r}^{3}}{\mathrm{~s}}(sr​)3= sr3​

Multiply. - (35−10x4)(35+10x4)\left(\frac{3}{5}-10 x^{4}\right)\left(\frac{3}{5}+10 x^{4}\right)(53​−10x4)(53​+10x4)

Evaluate the polynomial. - x2+y2−z2x^{2}+y^{2}-z^{2}x2+y2−z2 for x=1,y=3x=1, y=3x=1,y=3 , and z=4\mathrm{z}=4z=4

Multiply mentally - (2x3+3)2\left(2 x^{3}+3\right)^{2}(2x3+3)2

Multiply. - (7m−4w)(7m+4w)(7 m-4 w)(7 m+4 w)(7m−4w)(7m+4w)

Identify the like terms in the polynomial. - 5x4+6x3−4x45 x^{4}+6 x^{3}-4 x^{4}5x4+6x3−4x4