Question 1

Collect like terms.
-$2 x^{7}+3 x^{7}$

Accepted Answer

A)  Can't be simplified 
B)  $5 x^{7}$ 
C)  $5 x^{14}$ 
D)  $35 x$ 
A)  Can't be simplified 
B)  $5 x^{7}$ 
C)  $5 x^{14}$ 
D)  $35 x$

Question 2

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree.
-$15 y^{7}-3$

Accepted Answer

A)  Binomial, degree 7 
B)  Binomial, degree 0 
C)  Monomial, degree 15 
D)  Binomial, degree 8 
A)  Binomial, degree 7 
B)  Binomial, degree 0 
C)  Monomial, degree 15 
D)  Binomial, degree 8

Question 3

Divide.
-$\frac{12 x^{10}+9 x^{7}}{3 x^{4}}$

Accepted Answer

A)  $7 x^{13}$ 
B)  $12 x^{10}+3 x^{3}$ 
C)  $4 x^{6}+3 x^{3}$ 
D)  $4 x^{6}+9 x^{7}$ 
A)  $7 x^{13}$ 
B)  $12 x^{10}+3 x^{3}$ 
C)  $4 x^{6}+3 x^{3}$ 
D)  $4 x^{6}+9 x^{7}$

Question 4

Solve the problem.
-Find a polynomial for the sum of the shaded areas of the figure.

Accepted Answer

A)  $\pi r^{2}+16 \pi$ 
B)  $\pi r^{2}-48 \pi$ 
C)  $\pi r^{2}-64 \pi$ 
D)  $\pi r^{2}+48 \pi$ 
A)  $\pi r^{2}+16 \pi$ 
B)  $\pi r^{2}-48 \pi$ 
C)  $\pi r^{2}-64 \pi$ 
D)  $\pi r^{2}+48 \pi$

Question 5

Collect like terms and then arrange in descending order.
-$-3 x^{5}+3 x^{6}+9 x+9 x^{6}+8 x+6 x^{5}$

Accepted Answer

A)  $12 x+3 x^{6}+17 x^{5}$ 
B)  $11 x^{6}+6 x^{5}+15 x$ 
C)  $12 x^{6}+3 x^{5}+17 x$ 
D)  $32 x^{12}$ 
A)  $12 x+3 x^{6}+17 x^{5}$ 
B)  $11 x^{6}+6 x^{5}+15 x$ 
C)  $12 x^{6}+3 x^{5}+17 x$ 
D)  $32 x^{12}$

Question 6

Multiply mentally.
-$(s-6)\left(s^{2}+3 s+4\right)$

Accepted Answer

A)  $s^{3}-3 s^{2}+22 s-24$ 
B)  $s^{3}-3 s^{2}-14 s-24$ 
C)  $s^{3}-9 s^{2}+22 s-24$ 
D)  $s^{3}-3 s^{2}-14 s+24$ 
A)  $s^{3}-3 s^{2}+22 s-24$ 
B)  $s^{3}-3 s^{2}-14 s-24$ 
C)  $s^{3}-9 s^{2}+22 s-24$ 
D)  $s^{3}-3 s^{2}-14 s+24$

Question 7

Identify the missing terms in the polynomial.
-$5 x^{2}-16$

Accepted Answer

A)  $\mathrm{x}$ - term 
B)  None 
C)  $x^{2}$ - term 
D)  $\mathrm{x}^{3}$ - term 
A)  $\mathrm{x}$ - term 
B)  None 
C)  $x^{2}$ - term 
D)  $\mathrm{x}^{3}$ - term

Question 8

Solve the problem. Express the answer in scientific notation to two decimals unless requested otherwise.
-If the speed of light is $3.00 \times 10^{8} \mathrm{~m} / \mathrm{sec}$, how long does it take light to travel $2.29 \times 10^{11} \mathrm{~m}$, the distance from the sun to Mars?

Accepted Answer

A)  $7.6 \times 10^{3} \mathrm{sec}$ 
B)  $7.6 \times 10^{2} \mathrm{~min}$ 
C)  $76 \mathrm{sec}$ 
D)  $7.6 \times 10^{2} \mathrm{sec}$ 
A)  $7.6 \times 10^{3} \mathrm{sec}$ 
B)  $7.6 \times 10^{2} \mathrm{~min}$ 
C)  $76 \mathrm{sec}$ 
D)  $7.6 \times 10^{2} \mathrm{sec}$

Question 9

Evaluate.
-$x^{1}$, when $x=16$

Accepted Answer

A)  18 
B)  32 
C)  512 
D)  16 
A)  18 
B)  32 
C)  512 
D)  16

Question 10

Subtract.
-

Accepted Answer

A)  $-5 x^{4}+3 x^{2}$ 
B)  $35 x^{4}+3 x^{2}$ 
C)  $24 x^{6}$ 
D)  $-5 x^{4}+29 x^{2}$ 
A)  $-5 x^{4}+3 x^{2}$ 
B)  $35 x^{4}+3 x^{2}$ 
C)  $24 x^{6}$ 
D)  $-5 x^{4}+29 x^{2}$

Question 11

Identify the degree of each term and the degree of the polynomial.
-$6 \mathrm{x}^{2}-6 \mathrm{x}+4$

Accepted Answer

A)  2, 0, 0; 2 
B)  2, 1, 0; 6 
C)  2, 1, 0; 2 
D)  $6,-6,4$; 6 
A)  2, 0, 0; 2 
B)  2, 1, 0; 6 
C)  2, 1, 0; 2 
D)  $6,-6,4$; 6

Question 12

Multiply and simplify.
-$a^{-8} \cdot a^{8}$

Accepted Answer

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

Question 13

Multiply.
-$(4 a-11)^{2}$

Accepted Answer

A)  $4 a^{2}+121$ 
B)  $4 a^{2}-88 a+121$ 
C)  $16 a^{2}-88 a+121$ 
D)  $16 \mathrm{a}^{2}+121$ 
A)  $4 a^{2}+121$ 
B)  $4 a^{2}-88 a+121$ 
C)  $16 a^{2}-88 a+121$ 
D)  $16 \mathrm{a}^{2}+121$

Question 14

Collect like terms.
-$9 n^{4}+5 n^{4}$

Accepted Answer

A)  $14 \mathrm{n} 8$ 
B)  $45 n^{4}$ 
C)  $45 n 8$ 
D)  $14 n^{4}$ 
A)  $14 \mathrm{n} 8$ 
B)  $45 n^{4}$ 
C)  $45 n 8$ 
D)  $14 n^{4}$

Question 15

Collect like terms and then arrange in descending order.
-$7 x^{4}+3 x^{5}+3 x^{4}+8 x^{5}$

Accepted Answer

A)  $21 \mathrm{x}^{9}$ 
B)  $11 x^{5}+10 x^{4}$ 
C)  $21 x^{18}$ 
D)  $10 x^{10}+11 x^{8}$ 
A)  $21 \mathrm{x}^{9}$ 
B)  $11 x^{5}+10 x^{4}$ 
C)  $21 x^{18}$ 
D)  $10 x^{10}+11 x^{8}$

Question 16

Simplify.
-$\left(-2 \mathrm{p}^{-2} \mathrm{q}^{2} \mathrm{r}^{-2}\right)^{6}$

Accepted Answer

A)  $\frac{(-2){ }^{6} p^{12}}{q^{12} r^{12}}$ 
B) $(-2)^{6} p^{12} q^{12} r^{12}$ 
C)  $\frac{(-2)^{6}}{\mathrm{p}^{12} \mathrm{q}^{12} \mathrm{r}^{12}}$ 
D)  $\frac{(-2)^{6} q^{12}}{p^{12} r^{12}}$ 
A)  $\frac{(-2){ }^{6} p^{12}}{q^{12} r^{12}}$ 
B) $(-2)^{6} p^{12} q^{12} r^{12}$ 
C)  $\frac{(-2)^{6}}{\mathrm{p}^{12} \mathrm{q}^{12} \mathrm{r}^{12}}$ 
D)  $\frac{(-2)^{6} q^{12}}{p^{12} r^{12}}$

Question 17

Multiply.
-$8 x^{2}\left(-4 x^{6}-8\right)$

Accepted Answer

A)  $-32 x^{8}-64 x^{2}$ 
B)  $-32 x^{8}-8$ 
C)  $-32 x^{6}-64$ 
D)  $-96 x^{2}$ 
A)  $-32 x^{8}-64 x^{2}$ 
B)  $-32 x^{8}-8$ 
C)  $-32 x^{6}-64$ 
D)  $-96 x^{2}$

Question 18

Simplify.
-$\left(\frac{4}{b^{-3}}\right)^{4}$

Accepted Answer

A)  $\frac{1}{256 b^{12}}$ 
B)  $256 \{~b}^{12}$ 
C)  $\frac{256}{\mathrm{~b}^{12}}$ 
D)  $\frac{\mathrm{b}^{12}}{256}$ 
A)  $\frac{1}{256 b^{12}}$ 
B)  $256 \{~b}^{12}$ 
C)  $\frac{256}{\mathrm{~b}^{12}}$ 
D)  $\frac{\mathrm{b}^{12}}{256}$

Question 19

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree.
-$8 a^{5}$

Accepted Answer

A)  Binomial, degree 5 
B)  Binomial, degree 8 
C)  Monomial, degree 8 
D)  Monomial, degree 5 
A)  Binomial, degree 5 
B)  Binomial, degree 8 
C)  Monomial, degree 8 
D)  Monomial, degree 5

Question 20

Perform the division.
-$\frac{z^{3}-64}{z-4}$

Accepted Answer

A)  $z^{2}+4 z-16$ 
B)  $z^{2}+8 z+16$ 
C)  $z^{2}-4 z+16$ 
D)  $z^{2}+4 z+16$ 
A)  $z^{2}+4 z-16$ 
B)  $z^{2}+8 z+16$ 
C)  $z^{2}-4 z+16$ 
D)  $z^{2}+4 z+16$

Collect like terms. - $2 x^{7}+3 x^{7}$

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree. - $15 y^{7}-3$

Divide. - $\frac{12 x^{10}+9 x^{7}}{3 x^{4}}$

Solve the problem. -Find a polynomial for the sum of the shaded areas of the figure.

Collect like terms and then arrange in descending order. - $-3 x^{5}+3 x^{6}+9 x+9 x^{6}+8 x+6 x^{5}$

Multiply mentally. - $(s-6)\left(s^{2}+3 s+4\right)$

Identify the missing terms in the polynomial. - $5 x^{2}-16$

Solve the problem. Express the answer in scientific notation to two decimals unless requested otherwise. -If the speed of light is $3.00 \times 10^{8} \mathrm{~m} / \mathrm{sec}$ , how long does it take light to travel $2.29 \times 10^{11} \mathrm{~m}$ , the distance from the sun to Mars?

Evaluate. - $x^{1}$ , when $x=16$

Subtract. -

Identify the degree of each term and the degree of the polynomial. - $6 \mathrm{x}^{2}-6 \mathrm{x}+4$

Multiply and simplify. - $a^{-8} \cdot a^{8}$

Multiply. - $(4 a-11)^{2}$

Collect like terms. - $9 n^{4}+5 n^{4}$

Collect like terms and then arrange in descending order. - $7 x^{4}+3 x^{5}+3 x^{4}+8 x^{5}$

Simplify. - $\left(-2 \mathrm{p}^{-2} \mathrm{q}^{2} \mathrm{r}^{-2}\right)^{6}$

Multiply. - $8 x^{2}\left(-4 x^{6}-8\right)$

Simplify. - $\left(\frac{4}{b^{-3}}\right)^{4}$

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree. - $8 a^{5}$

Perform the division. - $\frac{z^{3}-64}{z-4}$

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

Collect like terms. - 2x7+3x72 x^{7}+3 x^{7}2x7+3x7

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree. - 15y7−315 y^{7}-315y7−3

Divide. - 12x10+9x73x4\frac{12 x^{10}+9 x^{7}}{3 x^{4}}3x412x10+9x7​

Solve the problem. -Find a polynomial for the sum of the shaded areas of the figure.

Collect like terms and then arrange in descending order. - −3x5+3x6+9x+9x6+8x+6x5-3 x^{5}+3 x^{6}+9 x+9 x^{6}+8 x+6 x^{5}−3x5+3x6+9x+9x6+8x+6x5

Multiply mentally. - (s−6)(s2+3s+4)(s-6)\left(s^{2}+3 s+4\right)(s−6)(s2+3s+4)

Identify the missing terms in the polynomial. - 5x2−165 x^{2}-165x2−16

Evaluate. - x1x^{1}x1 , when x=16x=16x=16