Question 1

Simplify.
-$\left(\frac{b^{4}}{5}\right)^{-2}$

Accepted Answer

A)  $\frac{b^{-6}}{5^{-2}}$ 
B)  $\frac{b^{-8}}{5}$ 
C)  $\frac{25}{b^{8}}$ 
D)  $\frac{b^{8}}{5^{2}}$ 
A)  $\frac{b^{-6}}{5^{-2}}$ 
B)  $\frac{b^{-8}}{5}$ 
C)  $\frac{25}{b^{8}}$ 
D)  $\frac{b^{8}}{5^{2}}$

Question 2

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

Accepted Answer

A)  $3 x^{4}-4 x^{3}-10 x^{2}-10 x-6$ 
B)  $3 x^{4}-6 x^{3}-7 x^{2}-10 x-6$ 
C)  $3 x^{4}-6 x^{3}-10 x^{2}-10 x-6$ 
D)  $3 x^{4}-4 x^{3}-7 x^{2}-10 x-6$ 
A)  $3 x^{4}-4 x^{3}-10 x^{2}-10 x-6$ 
B)  $3 x^{4}-6 x^{3}-7 x^{2}-10 x-6$ 
C)  $3 x^{4}-6 x^{3}-10 x^{2}-10 x-6$ 
D)  $3 x^{4}-4 x^{3}-7 x^{2}-10 x-6$

Question 3

Write the number in scientific notation.
-76.023

Accepted Answer

A)  $7.6023 \times 10^{2}$ 
B)  $7.6023 \times 10-2$ 
C)  $7.6023 \times 10^{-1}$ 
D)  $7.6023 \times 10^{1}$ 
A)  $7.6023 \times 10^{2}$ 
B)  $7.6023 \times 10-2$ 
C)  $7.6023 \times 10^{-1}$ 
D)  $7.6023 \times 10^{1}$

Question 4

Evaluate.
-$\mathrm{cd}^{0}$

Accepted Answer

A)  1 
B)  c 
C)  d 
D)  $\mathrm{cd}$ 
A)  1 
B)  c 
C)  d 
D)  $\mathrm{cd}$

Question 5

Multiply.
-$(n+13)^{2}$

Accepted Answer

A)  $n+169$ 
B)  $169 n^{2}+26 n+169$ 
C)  $n^{2}+169$ 
D)  $n^{2}+26 n+169$ 
A)  $n+169$ 
B)  $169 n^{2}+26 n+169$ 
C)  $n^{2}+169$ 
D)  $n^{2}+26 n+169$

Question 6

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

Accepted Answer

A)  $8 x^{6}+10 x^{4}-9$ 
B)  $9 x^{10}$ 
C)  $8+10 x^{6}-9 x^{4}$ 
D)  $-2 x^{6}+8 x^{4}+3$ 
A)  $8 x^{6}+10 x^{4}-9$ 
B)  $9 x^{10}$ 
C)  $8+10 x^{6}-9 x^{4}$ 
D)  $-2 x^{6}+8 x^{4}+3$

Question 7

Divide and simplify.
-$\frac{(9 x)^{15}}{(9 x)^{15}}$

Accepted Answer

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

Question 8

Multiply and simplify.
-$3^{4} \cdot 3^{2}$

Accepted Answer

A)  1 
B)  6 
C)  $3^{6}$ 
D)  $3^{8}$ 
A)  1 
B)  6 
C)  $3^{6}$ 
D)  $3^{8}$

Question 9

Arrange the polynomial in descending order.
-$-9+8 p^{2}+6 p^{9}-3 p^{3}-p$

Accepted Answer

A)  $6 p^{9}-3 p^{3}+8 p^{2}-p-9$ 
B)  $8 p^{2}-p-3 p^{3}+6 p^{9}-9$ 
C)  $-9-p+8 p^{2}-3 p^{3}+6 p^{9}$ 
D)  $-9+8 p^{2}+6 p^{9}-3 p^{3}-p$ 
A)  $6 p^{9}-3 p^{3}+8 p^{2}-p-9$ 
B)  $8 p^{2}-p-3 p^{3}+6 p^{9}-9$ 
C)  $-9-p+8 p^{2}-3 p^{3}+6 p^{9}$ 
D)  $-9+8 p^{2}+6 p^{9}-3 p^{3}-p$

Question 10

Express the following using negative exponents.
-$\frac{1}{b^{3}}$

Accepted Answer

A)  $3^{-b-1}$ 
B)  $b^{-3}$ 
C)  $b^{3}$ 
D)  $3^{-b}$ 
A)  $3^{-b-1}$ 
B)  $b^{-3}$ 
C)  $b^{3}$ 
D)  $3^{-b}$

Question 11

Multiply.
-$(p+9 q)(p-9 q)$

Accepted Answer

A)  $p^{2}-18 p q-81 q^{2}$ 
B)  $p^{2}-18 q^{2}$ 
C)  $p^{2}+18 p q-81 q^{2}$ 
D)  $p^{2}-81 q^{2}$ 
A)  $p^{2}-18 p q-81 q^{2}$ 
B)  $p^{2}-18 q^{2}$ 
C)  $p^{2}+18 p q-81 q^{2}$ 
D)  $p^{2}-81 q^{2}$

Question 12

Arrange the polynomial in descending order.
-$x^{6}+x+8 x^{3}+2+4 x^{2}$

Accepted Answer

A)  $8 x^{3}+4 x^{2}+2+x^{6}+x$ 
B)  $2+x+4 x^{2}+8 x^{3}+x^{6}$ 
C)  $x^{6}+8 x^{3}+4 x^{2}+x+2$ 
D)  $x+4 x^{2}+8 x^{3}+x^{6}+2$ 
A)  $8 x^{3}+4 x^{2}+2+x^{6}+x$ 
B)  $2+x+4 x^{2}+8 x^{3}+x^{6}$ 
C)  $x^{6}+8 x^{3}+4 x^{2}+x+2$ 
D)  $x+4 x^{2}+8 x^{3}+x^{6}+2$

Question 13

Find the degree of the polynomial.
-$x^{5}+y^{4}-3 x^{3} y$

Accepted Answer

A)  4 
B)  5 
C)  6 
D)  13 
A)  4 
B)  5 
C)  6 
D)  13

Question 14

Find the degree of the polynomial.
-$-5 y^{7}-4 x^{6} z+5 x z^{6}$

Accepted Answer

A)  1 
B)  6 
C)  7 
D)  5 
A)  1 
B)  6 
C)  7 
D)  5

Question 15

Identify the coefficient of each term of the polynomial.
-$-2 \mathrm{~h}-4 \mathrm{z}$

Accepted Answer

A)  2 and 4 
B)  -2 and -4 
C)  2 and -4 
D)  -2 and 4 
A)  2 and 4 
B)  -2 and -4 
C)  2 and -4 
D)  -2 and 4

Question 16

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 population of a small country is $3,115,000$.

Accepted Answer

A)  $3.115 \times 10^{6}$ 
B)  $3.115 \times 10^{4}$ 
C)  $3.115 \times 10^{5}$ 
D)  $3.115 \times 10^{-5}$ 
A)  $3.115 \times 10^{6}$ 
B)  $3.115 \times 10^{4}$ 
C)  $3.115 \times 10^{5}$ 
D)  $3.115 \times 10^{-5}$

Question 17

Collect like terms
-$m^{3}+10 m^{4}+9 m^{2}-m^{4}+5 m^{3}$

Accepted Answer

A)  $9 m^{4}+6 m^{3}+9 m^{2}$ 
B)  $10 m^{4}-6 m^{3}+9 m^{2}$ 
C)  $-9 m^{4}-6 m^{3}-9 m^{2}$ 
D)  $9 m^{8}+6 m^{6}+9 m^{2}$ 
A)  $9 m^{4}+6 m^{3}+9 m^{2}$ 
B)  $10 m^{4}-6 m^{3}+9 m^{2}$ 
C)  $-9 m^{4}-6 m^{3}-9 m^{2}$ 
D)  $9 m^{8}+6 m^{6}+9 m^{2}$

Question 18

Divide
-$\frac{2 x^{8}+10 x^{7}+x^{2}}{x}$

Accepted Answer

A)  12 
B)  $2 x^{7}+10 x^{6}+x$ 
C)  $2 x^{8}+10 x^{7}+x$ 
D)  $2 x^{7}+10 x^{7}+x^{2}$ 
A)  12 
B)  $2 x^{7}+10 x^{6}+x$ 
C)  $2 x^{8}+10 x^{7}+x$ 
D)  $2 x^{7}+10 x^{7}+x^{2}$

Question 19

Identify the coefficient of each term of the polynomial.
-$-7 z-2 y-s$

Accepted Answer

A)  $7,-2,1$ 
B)  $-7,2,1$ 
C)  $7,2,-1$ 
D)  $-7,-2,-1$ 
A)  $7,-2,1$ 
B)  $-7,2,1$ 
C)  $7,2,-1$ 
D)  $-7,-2,-1$

Question 20

Multiply.
-$\left(7.1-x^{6}\right)\left(7.1+x^{6}\right)$

Accepted Answer

A)  $50.41-x^{12}$ 
B)  $x^{12}-50.41$ 
C)  $50.41+x^{12}$ 
D)  $50.41-x^{36}$ 
A)  $50.41-x^{12}$ 
B)  $x^{12}-50.41$ 
C)  $50.41+x^{12}$ 
D)  $50.41-x^{36}$

Simplify. - $\left(\frac{b^{4}}{5}\right)^{-2}$

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

Write the number in scientific notation. -76.023

Evaluate. - $\mathrm{cd}^{0}$

Multiply. - $(n+13)^{2}$

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

Divide and simplify. - $\frac{(9 x)^{15}}{(9 x)^{15}}$

Multiply and simplify. - $3^{4} \cdot 3^{2}$

Arrange the polynomial in descending order. - $-9+8 p^{2}+6 p^{9}-3 p^{3}-p$

Express the following using negative exponents. - $\frac{1}{b^{3}}$

Multiply. - $(p+9 q)(p-9 q)$

Arrange the polynomial in descending order. - $x^{6}+x+8 x^{3}+2+4 x^{2}$

Find the degree of the polynomial. - $x^{5}+y^{4}-3 x^{3} y$

Find the degree of the polynomial. - $-5 y^{7}-4 x^{6} z+5 x z^{6}$

Identify the coefficient of each term of the polynomial. - $-2 \mathrm{~h}-4 \mathrm{z}$

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 population of a small country is $3,115,000$ .

Collect like terms - $m^{3}+10 m^{4}+9 m^{2}-m^{4}+5 m^{3}$

Divide - $\frac{2 x^{8}+10 x^{7}+x^{2}}{x}$

Identify the coefficient of each term of the polynomial. - $-7 z-2 y-s$

Multiply. - $\left(7.1-x^{6}\right)\left(7.1+x^{6}\right)$

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

Simplify. - (b45)−2\left(\frac{b^{4}}{5}\right)^{-2}(5b4​)−2

Multiply. - (3x2+2x+3)(x2−2x−2)\left(3 x^{2}+2 x+3\right)\left(x^{2}-2 x-2\right)(3x2+2x+3)(x2−2x−2)

Write the number in scientific notation. -76.023

Evaluate. - cd0\mathrm{cd}^{0}cd0

Multiply. - (n+13)2(n+13)^{2}(n+13)2

Add. - (−7+3x6+5x4)+(5x6+5x4−2)\left(-7+3 x^{6}+5 x^{4}\right)+\left(5 x^{6}+5 x^{4}-2\right)(−7+3x6+5x4)+(5x6+5x4−2)

Divide and simplify. - (9x)15(9x)15\frac{(9 x)^{15}}{(9 x)^{15}}(9x)15(9x)15​

Multiply and simplify. - 34⋅323^{4} \cdot 3^{2}34⋅32

Arrange the polynomial in descending order. - −9+8p2+6p9−3p3−p-9+8 p^{2}+6 p^{9}-3 p^{3}-p−9+8p2+6p9−3p3−p

Express the following using negative exponents. - 1b3\frac{1}{b^{3}}b31​

Multiply. - (p+9q)(p−9q)(p+9 q)(p-9 q)(p+9q)(p−9q)

Arrange the polynomial in descending order. - x6+x+8x3+2+4x2x^{6}+x+8 x^{3}+2+4 x^{2}x6+x+8x3+2+4x2

Find the degree of the polynomial. - x5+y4−3x3yx^{5}+y^{4}-3 x^{3} yx5+y4−3x3y

Find the degree of the polynomial. - −5y7−4x6z+5xz6-5 y^{7}-4 x^{6} z+5 x z^{6}−5y7−4x6z+5xz6

Identify the coefficient of each term of the polynomial. - −2 h−4z-2 \mathrm{~h}-4 \mathrm{z}−2 h−4z

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 population of a small country is 3,115,0003,115,0003,115,000 .

Collect like terms - m3+10m4+9m2−m4+5m3m^{3}+10 m^{4}+9 m^{2}-m^{4}+5 m^{3}m3+10m4+9m2−m4+5m3

Divide - 2x8+10x7+x2x\frac{2 x^{8}+10 x^{7}+x^{2}}{x}x2x8+10x7+x2​

Identify the coefficient of each term of the polynomial. - −7z−2y−s-7 z-2 y-s−7z−2y−s

Multiply. - (7.1−x6)(7.1+x6)\left(7.1-x^{6}\right)\left(7.1+x^{6}\right)(7.1−x6)(7.1+x6)