Question 1

Simplify.
-$\left(\frac{x y^{3}}{w^{4} z}\right)^{-5}$

Accepted Answer

A)  $\frac{x y^{-15}}{w^{-20} z}$ 
B)  $\frac{x^{5} y^{-15}}{w^{-20} z^{5}}$ 
C)  $\frac{w^{20} z^{5}}{x^{5} y^{15}}$ 
D)  $\frac{x^{-5} y^{-2}}{w^{-1} z^{-5}}$ 
A)  $\frac{x y^{-15}}{w^{-20} z}$ 
B)  $\frac{x^{5} y^{-15}}{w^{-20} z^{5}}$ 
C)  $\frac{w^{20} z^{5}}{x^{5} y^{15}}$ 
D)  $\frac{x^{-5} y^{-2}}{w^{-1} z^{-5}}$ C

Question 2

Multiply.
-$9 \mathrm{x}^{3}(-4 \mathrm{x}+2)$

Accepted Answer

A)  $-36 x+18$ 
B)  $-18 x^{3}$ 
C)  $-36 x^{4}+2$ 
D)  $-36 x^{4}+18 x^{3}$ 
A)  $-36 x+18$ 
B)  $-18 x^{3}$ 
C)  $-36 x^{4}+2$ 
D)  $-36 x^{4}+18 x^{3}$ D

Question 3

Simplify.
-$\left(\frac{5 a}{3}\right)^{4}$

Accepted Answer

A)  $\frac{5 a^{4}}{81}$ 
B)  $\frac{625 a}{81}$ 
C)  $\frac{625 \mathrm{a}^{4}}{3}$ 
D)  $\frac{625 \mathrm{a}^{4}}{81}$ 
A)  $\frac{5 a^{4}}{81}$ 
B)  $\frac{625 a}{81}$ 
C)  $\frac{625 \mathrm{a}^{4}}{3}$ 
D)  $\frac{625 \mathrm{a}^{4}}{81}$ D

Question 4

Solve the problem. Express the answer in scientific notation to two decimals unless requested otherwise.
-The national debt of a country is $\$ 75,690,000,000$ and the population is $8,410,000$. What is the debt per person? Write answer without exponents.

Accepted Answer

A)  $\$ 900$ 
B)  $\$ 9000$ 
C)  $\$ 90,000$ 
D)  $\$ 636,552,900$ 
A)  $\$ 900$ 
B)  $\$ 9000$ 
C)  $\$ 90,000$ 
D)  $\$ 636,552,900$

Question 5

Multiply.
-$\left(18 x^{2}\right)(0)$

Accepted Answer

A)  $18 x^{2}$ 
B)  1 
C)  0 
D)  18 
A)  $18 x^{2}$ 
B)  1 
C)  0 
D)  18

Question 6

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

Accepted Answer

A)  $(\pi-1) r^{2}$ 
B)  $(\pi-4) r^{2}$ 
C)  $(4-\pi) r^{2}$ 
D)  $\pi \mathrm{r}^{2}$ 
A)  $(\pi-1) r^{2}$ 
B)  $(\pi-4) r^{2}$ 
C)  $(4-\pi) r^{2}$ 
D)  $\pi \mathrm{r}^{2}$

Question 7

Identify the coefficient of each term of the polynomial.
-$-5 t+2 t^{2}$

Accepted Answer

A)  -5 and 2 
B)  5 
C)  -5 
D)  5 and 2 
A)  -5 and 2 
B)  5 
C)  -5 
D)  5 and 2

Question 8

Choose the one alternative that best completes the statement or answers the question.
-Tell whether or not the number is given in scientific notation. $5.240 \times 10^{-7}$

Accepted Answer

A) True 
 B)False

Question 9

Multiply.
-$(9 x+10 y)^{2}$

Accepted Answer

A)  $9 x^{2}+180 x y+100 y^{2}$ 
B)  $81 x^{2}+100 y^{2}$ 
C)  $9 x^{2}+100 y^{2}$ 
D)  $81 x^{2}+180 x y+100 y^{2}$ 
A)  $9 x^{2}+180 x y+100 y^{2}$ 
B)  $81 x^{2}+100 y^{2}$ 
C)  $9 x^{2}+100 y^{2}$ 
D)  $81 x^{2}+180 x y+100 y^{2}$

Question 10

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

Accepted Answer

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

Question 11

Multiply.
-$(11+\mathrm{x})(5 \mathrm{x}+3)$

Accepted Answer

A)  $5 x^{2}+58 x+33$ 
B)  $5 x^{2}+33 x+58$ 
C)  $x^{2}+58 x+58$ 
D)  $5 x^{2}+57 x+33$ 
A)  $5 x^{2}+58 x+33$ 
B)  $5 x^{2}+33 x+58$ 
C)  $x^{2}+58 x+58$ 
D)  $5 x^{2}+57 x+33$

Question 12

Express using positive exponents. Then simplify.
-$2^{-4}$

Accepted Answer

A)  $\frac{1}{8}$ 
B)  - 16 
C)  16 
D)  $\frac{1}{16}$ 
A)  $\frac{1}{8}$ 
B)  - 16 
C)  16 
D)  $\frac{1}{16}$

Question 13

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

Accepted Answer

A)  $-7 x^{2}+4 x-7$ 
B)  $-7 x^{2}-4 x-7$ 
C)  $7 x^{2}+4 x-7$ 
D)  $7 x^{2}-4 x+7$ 
A)  $-7 x^{2}+4 x-7$ 
B)  $-7 x^{2}-4 x-7$ 
C)  $7 x^{2}+4 x-7$ 
D)  $7 x^{2}-4 x+7$

Question 14

Evaluate.
-The volume of a cube with sides of length $s$ is given by $V=s^{3}$. Find the volume of the cube.

Accepted Answer

A)  $676 \mathrm{ft}^{3}$ 
B)  $78 \mathrm{ft}^{3}$ 
C)  $1352 \mathrm{ft}^{3}$ 
D)  $17,576 \mathrm{ft}^{3}$ 
A)  $676 \mathrm{ft}^{3}$ 
B)  $78 \mathrm{ft}^{3}$ 
C)  $1352 \mathrm{ft}^{3}$ 
D)  $17,576 \mathrm{ft}^{3}$

Question 15

Identify the degree of each term and the degree of the polynomial.
-$3 x^{5}-8 x^{2}+3-4 x^{3}$

Accepted Answer

A)  $5,2,0,3 ; 5$ 
B)  5, 3, 2, 0; 5 
C)  5, - 2, 1, - 3; 5 
D)  $3,-8,3,-4$; 3 
A)  $5,2,0,3 ; 5$ 
B)  5, 3, 2, 0; 5 
C)  5, - 2, 1, - 3; 5 
D)  $3,-8,3,-4$; 3

Question 16

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

Accepted Answer

A)  $6 x^{4}+7 x^{2}+\frac{5}{6} x-4$ 
B)  $6 x^{4}-7 x^{2}-\frac{5}{6} x+4$ 
C)  $-6 x^{4}+7 x^{2}+\frac{5}{6} x-4$ 
D)  $6 x^{4}+7 x^{2}-\frac{5}{6} x+4$ 
A)  $6 x^{4}+7 x^{2}+\frac{5}{6} x-4$ 
B)  $6 x^{4}-7 x^{2}-\frac{5}{6} x+4$ 
C)  $-6 x^{4}+7 x^{2}+\frac{5}{6} x-4$ 
D)  $6 x^{4}+7 x^{2}-\frac{5}{6} x+4$

Question 17

Simplify.
-$\left(\frac{x^{8}}{2}\right)^{2}$

Accepted Answer

A)  $\frac{a^{16}}{2}$ 
B)  $\frac{x^{6}}{4}$ 
C)  $\frac{x^{10}}{4}$ 
D)  $\frac{x^{16}}{4}$ 
A)  $\frac{a^{16}}{2}$ 
B)  $\frac{x^{6}}{4}$ 
C)  $\frac{x^{10}}{4}$ 
D)  $\frac{x^{16}}{4}$

Question 18

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

Accepted Answer

A)  $5 x^{20}-4 x^{5}+15 x^{4}-12$ 
B)  $15 x^{9}-4 x^{5}-15 x^{4}+12$ 
C)  $5 x^{12}-4 x^{5}-15 x^{4}-12$ 
D)  $5 x^{9}-4 x^{5}-15 x^{4}+12$ 
A)  $5 x^{20}-4 x^{5}+15 x^{4}-12$ 
B)  $15 x^{9}-4 x^{5}-15 x^{4}+12$ 
C)  $5 x^{12}-4 x^{5}-15 x^{4}-12$ 
D)  $5 x^{9}-4 x^{5}-15 x^{4}+12$

Question 19

Evaluate.
-$x^{2}-9$ when $x=-5$

Accepted Answer

A)  -14 
B)  16 
C)  $x^{2}-5$ 
D)  -56 
A)  -14 
B)  16 
C)  $x^{2}-5$ 
D)  -56

Question 20

Solve the problem. Express the answer in scientific notation to two decimals unless requested otherwise.
-The national debt of a small country is $\$ 7,710,000,000$ and the population is $2,839,000$. What is the amount of debt per person?

Accepted Answer

A)  $\$ 2.72 \times 10^{6}$ 
B)  $\$ 27.20$ 
C)  $\$ 2.72$ 
D)  $\$ 2.72 \times 10^{3}$ 
A)  $\$ 2.72 \times 10^{6}$ 
B)  $\$ 27.20$ 
C)  $\$ 2.72$ 
D)  $\$ 2.72 \times 10^{3}$

Simplify. - $\left(\frac{x y^{3}}{w^{4} z}\right)^{-5}$

Multiply. - $9 \mathrm{x}^{3}(-4 \mathrm{x}+2)$

Simplify. - $\left(\frac{5 a}{3}\right)^{4}$

Solve the problem. Express the answer in scientific notation to two decimals unless requested otherwise. -The national debt of a country is $\$ 75,690,000,000$ and the population is $8,410,000$ . What is the debt per person? Write answer without exponents.

Multiply. - $\left(18 x^{2}\right)(0)$

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

Identify the coefficient of each term of the polynomial. - $-5 t+2 t^{2}$

Choose the one alternative that best completes the statement or answers the question. -Tell whether or not the number is given in scientific notation. $5.240 \times 10^{-7}$

Multiply. - $(9 x+10 y)^{2}$

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

Multiply. - $(11+\mathrm{x})(5 \mathrm{x}+3)$

Express using positive exponents. Then simplify. - $2^{-4}$

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

Evaluate. -The volume of a cube with sides of length $s$ is given by $V=s^{3}$ . Find the volume of the cube. $Evaluate. -The volume of a cube with sides of length s is given by V=s^{3} . Find the volume of the cube.$

Identify the degree of each term and the degree of the polynomial. - $3 x^{5}-8 x^{2}+3-4 x^{3}$

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

Simplify. - $\left(\frac{x^{8}}{2}\right)^{2}$

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

Evaluate. - $x^{2}-9$ when $x=-5$

Solve the problem. Express the answer in scientific notation to two decimals unless requested otherwise. -The national debt of a small country is $\$ 7,710,000,000$ and the population is $2,839,000$ . What is the amount of debt per person?

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

Simplify. - (xy3w4z)−5\left(\frac{x y^{3}}{w^{4} z}\right)^{-5}(w4zxy3​)−5

Multiply. - 9x3(−4x+2)9 \mathrm{x}^{3}(-4 \mathrm{x}+2)9x3(−4x+2)

Simplify. - (5a3)4\left(\frac{5 a}{3}\right)^{4}(35a​)4

Multiply. - (18x2)(0)\left(18 x^{2}\right)(0)(18x2)(0)

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

Identify the coefficient of each term of the polynomial. - −5t+2t2-5 t+2 t^{2}−5t+2t2

Choose the one alternative that best completes the statement or answers the question. -Tell whether or not the number is given in scientific notation. 5.240×10−75.240 \times 10^{-7}5.240×10−7

Multiply. - (9x+10y)2(9 x+10 y)^{2}(9x+10y)2

Find the degree of the polynomial. - xyz6+x6y4+xz5x y z^{6}+x^{6} y^{4}+x z^{5}xyz6+x6y4+xz5

Multiply. - (11+x)(5x+3)(11+\mathrm{x})(5 \mathrm{x}+3)(11+x)(5x+3)

Express using positive exponents. Then simplify. - 2−42^{-4}2−4

Simplify. - −(7x2−4x+7)-\left(7 x^{2}-4 x+7\right)−(7x2−4x+7)

Evaluate. -The volume of a cube with sides of length sss is given by V=s3V=s^{3}V=s3 . Find the volume of the cube.

Identify the degree of each term and the degree of the polynomial. - 3x5−8x2+3−4x33 x^{5}-8 x^{2}+3-4 x^{3}3x5−8x2+3−4x3

Simplify. - −(−6x4+7x2+56x−4)-\left(-6 x^{4}+7 x^{2}+\frac{5}{6} x-4\right)−(−6x4+7x2+65​x−4)

Simplify. - (x82)2\left(\frac{x^{8}}{2}\right)^{2}(2x8​)2

Multiply. - (5x4−4)(x5−3)\left(5 x^{4}-4\right)\left(x^{5}-3\right)(5x4−4)(x5−3)

Evaluate. - x2−9x^{2}-9x2−9 when x=−5x=-5x=−5

Solve the problem. Express the answer in scientific notation to two decimals unless requested otherwise. -The national debt of a small country is $7,710,000,000\$ 7,710,000,000$7,710,000,000 and the population is 2,839,0002,839,0002,839,000 . What is the amount of debt per person?