Question 1

Collect like terms.
-$11 x^{3}+7 x^{3}+3 x^{3}$

Accepted Answer

A)  $231 x^{9}$ 
B)  $21 x^{3}$ 
C)  $231 x^{3}$ 
D)  $21 \mathrm{x}^{9}$ 
A)  $231 x^{9}$ 
B)  $21 x^{3}$ 
C)  $231 x^{3}$ 
D)  $21 \mathrm{x}^{9}$

Question 2

Write the number in scientific notation.
-890,000

Accepted Answer

A)  $8.9 \times 10^{4}$ 
B)  $8.9 \times 10^{-4}$ 
C)  $8.9 \times 10^{-5}$ 
D)  $8.9 \times 10^{5}$ 
A)  $8.9 \times 10^{4}$ 
B)  $8.9 \times 10^{-4}$ 
C)  $8.9 \times 10^{-5}$ 
D)  $8.9 \times 10^{5}$

Question 3

Evaluate.
-$(-7)^{0}$

Accepted Answer

A)  1 
B)  0 
C)  - 1 
D)  -7 
A)  1 
B)  0 
C)  - 1 
D)  -7

Question 4

Add.
-

Accepted Answer

A)  $\frac{11}{12} x^{2}+\frac{9}{8} x+\frac{1}{2}$ 
B)  $\frac{11}{12} x^{2}-\frac{9}{8} x+\frac{1}{2}$ 
C)  $\frac{5}{12} x^{2}-\frac{9}{8} x+\frac{1}{2}$ 
D)  $\frac{5}{12} x^{2}+\frac{9}{8} x+\frac{1}{2}$ 
A)  $\frac{11}{12} x^{2}+\frac{9}{8} x+\frac{1}{2}$ 
B)  $\frac{11}{12} x^{2}-\frac{9}{8} x+\frac{1}{2}$ 
C)  $\frac{5}{12} x^{2}-\frac{9}{8} x+\frac{1}{2}$ 
D)  $\frac{5}{12} x^{2}+\frac{9}{8} x+\frac{1}{2}$

Question 5

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree.
-$-17 c^{4}-3 c^{3}-9 c^{2}$

Accepted Answer

A)  Trinomial, degree 9 
B)  Binomial, degree 3 
C)  Trinomial, degree 4 
D)  Binomial, degree 9 
A)  Trinomial, degree 9 
B)  Binomial, degree 3 
C)  Trinomial, degree 4 
D)  Binomial, degree 9

Question 6

Solve the problem.
-A pipette has the shape of a right circular cylinder with a right circular cone at its end. The pipette is used to inject a nutritive suspension into a colony of microbes. The volume, in cubic centimeters, of a pipette of height $h$ and radius $r$, both in centimeters, is given by the polynomial $\frac{1}{3} \pi r^{2} h+\pi r^{2} h$.
How much nutritive suspension can be provided if the pipette has a radius of $0.3 \mathrm{~cm}$ and a height of $4.5 \mathrm{~cm}$ ? Use 3.14 for $\pi$ and round to the nearest tenth cubic centimeter.

Accepted Answer

A)  $25.4 \mathrm{~cm}^{3}$ 
B)  $0.8 \mathrm{~cm}^{3}$ 
C)  $1.4 \mathrm{~cm}^{3}$ 
D)  $1.7 \mathrm{~cm}^{3}$ 
A)  $25.4 \mathrm{~cm}^{3}$ 
B)  $0.8 \mathrm{~cm}^{3}$ 
C)  $1.4 \mathrm{~cm}^{3}$ 
D)  $1.7 \mathrm{~cm}^{3}$

Question 7

Divide and simplify.
-$\frac{(12 x)^{15}}{(12 x)^{15}}$

Accepted Answer

A)  1 
B)  $\frac{1}{\mathrm{x}^{15}}$ 
C)  $x$ 
D)  $x^{15}$ 
A)  1 
B)  $\frac{1}{\mathrm{x}^{15}}$ 
C)  $x$ 
D)  $x^{15}$

Question 8

Collect like terms and then arrange in descending order.
-$7 x^{4}+2 x^{6}+2 x^{5}+8 x^{4}+6 x^{5}+8 x^{6}$

Accepted Answer

A)  $10 x^{12}+8 x^{10}+15 x^{8}$ 
B)  $10 x^{6}+8 x^{5}+15 x^{4}$ 
C)  $33 x^{30}$ 
D)  $-3 x^{6}-3 x^{5}-3 x^{4}$ 
A)  $10 x^{12}+8 x^{10}+15 x^{8}$ 
B)  $10 x^{6}+8 x^{5}+15 x^{4}$ 
C)  $33 x^{30}$ 
D)  $-3 x^{6}-3 x^{5}-3 x^{4}$

Question 9

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

Accepted Answer

A)  $n^{2}+2 n+24$ 
B)  $n^{2}+24$ 
C)  $n^{2}$ 
D)  $n^{2}-24$ 
A)  $n^{2}+2 n+24$ 
B)  $n^{2}+24$ 
C)  $n^{2}$ 
D)  $n^{2}-24$

Question 10

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

Accepted Answer

A)  $x^{3}+5 x^{2}+11 x+28$ 
B)  $x^{3}+3 x^{2}+28$ 
C)  $x^{3}+3 x^{2}+3 x+28$ 
D)  $x^{3}+28$ 
A)  $x^{3}+5 x^{2}+11 x+28$ 
B)  $x^{3}+3 x^{2}+28$ 
C)  $x^{3}+3 x^{2}+3 x+28$ 
D)  $x^{3}+28$

Question 11

Write the word or phrase that best completes each statement or answers the question.
-Simplify the expressions $(2 x)^{0}$ and $\left(2 x^{0}\right)$ and explain how you arrived at your answers.

Accepted Answer

@#LAT-DLM&, because the exponent is appl

Question 12

Multiply or divide and write scientific notation for the result.
-$\frac{9 \times 10^{3}}{3 \times 10^{-5}}$

Accepted Answer

A)  $3 \times 10^{-2}$ 
B)  $6 \times 10^{8}$ 
C)  $3 \times 10^{8}$ 
D)  $6 \times 10^{-2}$ 
A)  $3 \times 10^{-2}$ 
B)  $6 \times 10^{8}$ 
C)  $3 \times 10^{8}$ 
D)  $6 \times 10^{-2}$

Question 13

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

Accepted Answer

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

Question 14

Multiply.
-$(n+11)^{2}$

Accepted Answer

A)  $n^{2}+121$ 
B)  $121 n^{2}+22 n+121$ 
C)  $n+121$ 
D)  $n^{2}+22 n+121$ 
A)  $n^{2}+121$ 
B)  $121 n^{2}+22 n+121$ 
C)  $n+121$ 
D)  $n^{2}+22 n+121$

Question 15

Multiply mentally.
-$(-1+11 \mathrm{x})(1+11 \mathrm{x})$

Accepted Answer

A)  $121 x^{2}-22 x-1$ 
B)  $121 x^{2}-1$ 
C)  $121 x^{2}+22 x-1$ 
D)  $x^{2}-1$ 
A)  $121 x^{2}-22 x-1$ 
B)  $121 x^{2}-1$ 
C)  $121 x^{2}+22 x-1$ 
D)  $x^{2}-1$

Question 16

Multiply.
-$(5 a+11 c)(5 a-11 c)$

Accepted Answer

A)  $25 a^{2}-110 a c-121 c^{2}$ 
B)  $5 a^{2}-11 c^{2}$ 
C)  $25 \mathrm{a}^{2}+110 \mathrm{ac}-121 \mathrm{c}^{2}$ 
D)  $25 \mathrm{a}^{2}-121 \mathrm{c}^{2}$ 
A)  $25 a^{2}-110 a c-121 c^{2}$ 
B)  $5 a^{2}-11 c^{2}$ 
C)  $25 \mathrm{a}^{2}+110 \mathrm{ac}-121 \mathrm{c}^{2}$ 
D)  $25 \mathrm{a}^{2}-121 \mathrm{c}^{2}$

Question 17

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree.
-$-14 \mathrm{x}^{2}$

Accepted Answer

A)  Binomial, degree 0 
B)  Binomial, degree - 14 
C)  Monomial, degree - 14 
D)  Monomial, degree 2 
A)  Binomial, degree 0 
B)  Binomial, degree - 14 
C)  Monomial, degree - 14 
D)  Monomial, degree 2

Question 18

Subtract.
-$\left(4 x^{2} y+5 x y\right)-\left(6 x^{2} y+7 x y^{2}+3 x y\right)$

Accepted Answer

A)  $-2 x^{2} y+7 x y^{2}+2 x y$ 
B)  $-2 x^{2} y-7 x y^{2}+2 x y$ 
C)  $3 x^{2} y+2 x y^{2}+2 x y$ 
D)  $-2 x^{2} y-7 x y^{2}+8 x y$ 
A)  $-2 x^{2} y+7 x y^{2}+2 x y$ 
B)  $-2 x^{2} y-7 x y^{2}+2 x y$ 
C)  $3 x^{2} y+2 x y^{2}+2 x y$ 
D)  $-2 x^{2} y-7 x y^{2}+8 x y$

Question 19

Identify the degree of each term and the degree of the polynomial.
-$9 \mathrm{x}-7$

Accepted Answer

A)  $9,-7 ; 9$ 
B)  9,$0 ; 9$ 
C)  1,$0 ; 1$ 
D)  $1,-7 ; 1$ 
A)  $9,-7 ; 9$ 
B)  9,$0 ; 9$ 
C)  1,$0 ; 1$ 
D)  $1,-7 ; 1$

Question 20

Find the degree of the polynomial.
-$6+x^{6}-x^{4} y^{4}-x^{3} y$

Accepted Answer

A)  3 
B)  8 
C)  6 
D)  4 
A)  3 
B)  8 
C)  6 
D)  4

Collect like terms. - $11 x^{3}+7 x^{3}+3 x^{3}$

Write the number in scientific notation. -890,000

Evaluate. - $(-7)^{0}$

Add. -

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree. - $-17 c^{4}-3 c^{3}-9 c^{2}$

Divide and simplify. - $\frac{(12 x)^{15}}{(12 x)^{15}}$

Collect like terms and then arrange in descending order. - $7 x^{4}+2 x^{6}+2 x^{5}+8 x^{4}+6 x^{5}+8 x^{6}$

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

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

Write the word or phrase that best completes each statement or answers the question. -Simplify the expressions $(2 x)^{0}$ and $\left(2 x^{0}\right)$ and explain how you arrived at your answers.

Multiply or divide and write scientific notation for the result. - $\frac{9 \times 10^{3}}{3 \times 10^{-5}}$

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

Multiply. - $(n+11)^{2}$

Multiply mentally. - $(-1+11 \mathrm{x})(1+11 \mathrm{x})$

Multiply. - $(5 a+11 c)(5 a-11 c)$

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree. - $-14 \mathrm{x}^{2}$

Subtract. - $\left(4 x^{2} y+5 x y\right)-\left(6 x^{2} y+7 x y^{2}+3 x y\right)$

Identify the degree of each term and the degree of the polynomial. - $9 \mathrm{x}-7$

Find the degree of the polynomial. - $6+x^{6}-x^{4} y^{4}-x^{3} y$

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. - 11x3+7x3+3x311 x^{3}+7 x^{3}+3 x^{3}11x3+7x3+3x3

Write the number in scientific notation. -890,000

Evaluate. - (−7)0(-7)^{0}(−7)0

Add. -

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree. - −17c4−3c3−9c2-17 c^{4}-3 c^{3}-9 c^{2}−17c4−3c3−9c2

Divide and simplify. - (12x)15(12x)15\frac{(12 x)^{15}}{(12 x)^{15}}(12x)15(12x)15​

Collect like terms and then arrange in descending order. - 7x4+2x6+2x5+8x4+6x5+8x67 x^{4}+2 x^{6}+2 x^{5}+8 x^{4}+6 x^{5}+8 x^{6}7x4+2x6+2x5+8x4+6x5+8x6