Question 1

Divide and simplify.
-$\frac{\mathrm{p}^{3}}{\mathrm{p}^{-5}}$

Accepted Answer

A)  $p^{-2}$ 
B)  $p^{-8}$ 
C)  $\frac{1}{\mathrm{p}^{8}}$ 
D)  $p^{8}$ 
A)  $p^{-2}$ 
B)  $p^{-8}$ 
C)  $\frac{1}{\mathrm{p}^{8}}$ 
D)  $p^{8}$

Question 2

Collect like terms.
-$n^{3}-3 n^{4}+4 n^{2}-n^{4}-4 n^{3}$

Accepted Answer

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

Question 3

Evaluate.
-$p^{6}$, when $p=0$

Accepted Answer

A)  0 
B)  6 
C)  1 
D)  24 
A)  0 
B)  6 
C)  1 
D)  24

Question 4

Find the degree of the polynomial.
-$2 x^{6}+4 x^{4}+2 x^{3}-3$

Accepted Answer

A)  6 
B)  4 
C)  3 
D)  5 
A)  6 
B)  4 
C)  3 
D)  5

Question 5

Subtract.
-$\left(-14 x+6 x^{6}-7 x^{3}\right)-\left(10 x^{3}+3 x^{6}-2 x\right)$

Accepted Answer

A)  $3 x^{6}-17 x^{3}-12 x$ 
B)  $3 x^{6}-4 x^{3}-16 x$ 
C)  $-26 x^{10}$ 
D)  $3 x^{6}-17 x^{3}-16 x$ 
A)  $3 x^{6}-17 x^{3}-12 x$ 
B)  $3 x^{6}-4 x^{3}-16 x$ 
C)  $-26 x^{10}$ 
D)  $3 x^{6}-17 x^{3}-16 x$

Question 6

Write the number in scientific notation.
-0.00000028905

Accepted Answer

A)  $2.8905 \times 10^{7}$ 
B)  $2.8905 \times 10^{6}$ 
C)  $2.8905 \times 10^{-6}$ 
D)  $2.8905 \times 10^{-7}$ 
A)  $2.8905 \times 10^{7}$ 
B)  $2.8905 \times 10^{6}$ 
C)  $2.8905 \times 10^{-6}$ 
D)  $2.8905 \times 10^{-7}$

Question 7

Simplify.
-$-\left(-5 x^{4}-7 x^{3}-x^{2}+3.2\right)$

Accepted Answer

A)  $-5 x^{4}-7 x^{3}-x^{2}+3.2$ 
B)  $5 x^{4}-7 x^{3}+x^{2}-3.2$ 
C)  $5 x^{4}+7 x^{3}+x^{2}-3.2$ 
D)  $5 x^{4}-7 x^{3}-x^{2}+3.2$ 
A)  $-5 x^{4}-7 x^{3}-x^{2}+3.2$ 
B)  $5 x^{4}-7 x^{3}+x^{2}-3.2$ 
C)  $5 x^{4}+7 x^{3}+x^{2}-3.2$ 
D)  $5 x^{4}-7 x^{3}-x^{2}+3.2$

Question 8

Solve the problem.
-The weight $W$ (in ounces) of a fish caught in a certain lake is given by $W=0.001 x^{3}+0.03 x^{2}+1.4$, where $\mathrm{x}$ is the length in inches. Use the graph below to find the approximate value of $0.001 x^{3}+0.03 x^{2}+1.4$ for $x=17$.

Accepted Answer

A)  14 ounces 
B)  18 ounces 
C)  16 ounces 
D)  12 ounces 
A)  14 ounces 
B)  18 ounces 
C)  16 ounces 
D)  12 ounces

Question 9

Multiply.
-$\left(4 \mathrm{x}^{2}+4 \mathrm{x}-2\right)\left(\mathrm{x}^{2}+4 \mathrm{x}+5\right)$

Accepted Answer

A)  $4 x^{4}+20 x^{3}+36 x^{2}+12 x-10$ 
B)  $4 x^{4}+16 x^{3}+34 x^{2}+12 x-10$ 
C)  $4 x^{4}+16 x^{3}+36 x^{2}+12 x-10$ 
D)  $4 x^{4}+20 x^{3}+34 x^{2}+12 x-10$ 
A)  $4 x^{4}+20 x^{3}+36 x^{2}+12 x-10$ 
B)  $4 x^{4}+16 x^{3}+34 x^{2}+12 x-10$ 
C)  $4 x^{4}+16 x^{3}+36 x^{2}+12 x-10$ 
D)  $4 x^{4}+20 x^{3}+34 x^{2}+12 x-10$

Question 10

Find the total area of all shaded rectangles.
-

Accepted Answer

A)  $x^{2}+12$ 
B)  $x^{2}+32$ 
C)  $x^{2}+12 x+32$ 
D)  $x^{2}+8 x+32$ 
A)  $x^{2}+12$ 
B)  $x^{2}+32$ 
C)  $x^{2}+12 x+32$ 
D)  $x^{2}+8 x+32$

Question 11

Perform the division.
-$\frac{12 x^{3}+3 x^{2}-35 x-13}{-4 x-5}$

Accepted Answer

A)  $-3 x^{2}+3 x+5+\frac{15}{-4 x-5}$ 
B)  $-3 x^{2}+3 x+5+\frac{12}{-4 x-5}$ 
C)  $-3 x^{2}+3 x+5$ 
D)  $x^{2}+5+\frac{3}{-4 x-5}$ 
A)  $-3 x^{2}+3 x+5+\frac{15}{-4 x-5}$ 
B)  $-3 x^{2}+3 x+5+\frac{12}{-4 x-5}$ 
C)  $-3 x^{2}+3 x+5$ 
D)  $x^{2}+5+\frac{3}{-4 x-5}$

Question 12

Evaluate.
-The volume of a cylinder with height $h$ and radius $r$ is given by $V=\pi r^{2} h$. Find the volume of the cylinder. Use 3.14 for $\pi$.

Accepted Answer

A)  $376.8 \mathrm{~cm}^{3}$ 
B)  $565.2 \mathrm{~cm}^{3}$ 
C)  $188.4 \mathrm{~cm}^{3}$ 
D)  $2260.8 \mathrm{~cm}^{3}$ 
A)  $376.8 \mathrm{~cm}^{3}$ 
B)  $565.2 \mathrm{~cm}^{3}$ 
C)  $188.4 \mathrm{~cm}^{3}$ 
D)  $2260.8 \mathrm{~cm}^{3}$

Question 13

Simplify.
-$-(-7 x)$

Accepted Answer

A)  $-7 \mathrm{x}$ 
B)  $\frac{1}{7} \mathrm{x}$ 
C)  0 
D)  $7 \mathrm{x}$ 
A)  $-7 \mathrm{x}$ 
B)  $\frac{1}{7} \mathrm{x}$ 
C)  0 
D)  $7 \mathrm{x}$

Question 14

Simplify.
-$\left(\frac{3}{2 y}\right)^{3}$

Accepted Answer

A)  $\frac{27}{8 y^{3}}$ 
B)  $\frac{27 y^{3}}{8}$ 
C)  $\frac{27}{8 y}$ 
D)  $\frac{27}{2 y^{3}}$ 
A)  $\frac{27}{8 y^{3}}$ 
B)  $\frac{27 y^{3}}{8}$ 
C)  $\frac{27}{8 y}$ 
D)  $\frac{27}{2 y^{3}}$

Question 15

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

Accepted Answer

A)  $16 x^{16}+48 x^{4}+36$ 
B)  $16 x^{8}+36$ 
C)  $16 x^{8}+24 x^{4}+36$ 
D)  $16 x^{8}+48 x^{4}+36$ 
A)  $16 x^{16}+48 x^{4}+36$ 
B)  $16 x^{8}+36$ 
C)  $16 x^{8}+24 x^{4}+36$ 
D)  $16 x^{8}+48 x^{4}+36$

Question 16

Compute each expression and compare.
-$9^{2}-3^{2} ;(9-3)^{2}$

Accepted Answer

A)  12; 12; both are equal 
B)  72; 12; difference of squares is greater than square of difference 
C)  72; 36; difference of squares is greater than square of difference 
D)  12; 36; square of difference is greater than difference of squares 
A)  12; 12; both are equal 
B)  72; 12; difference of squares is greater than square of difference 
C)  72; 36; difference of squares is greater than square of difference 
D)  12; 36; square of difference is greater than difference of squares

Question 17

Add.
-$\left(-2+4 x^{7}+3 x^{9}+2 x^{8}\right)+\left(-9 x^{8}-8 x^{7}+3+5 x^{9}\right)$

Accepted Answer

A)  $-3 x^{48} +1$ 
B)  $8 \mathrm{x}^{18}-7 \mathrm{x}^{16}-4 \mathrm{x}^{14}+1$ 
C)  $8 x^{9}-7 x^{8}-4 x^{7}+1$ 
D)  $-11 x^{9}-11 x^{8}+6 x^{7}+7$ 
A)  $-3 x^{48} +1$ 
B)  $8 \mathrm{x}^{18}-7 \mathrm{x}^{16}-4 \mathrm{x}^{14}+1$ 
C)  $8 x^{9}-7 x^{8}-4 x^{7}+1$ 
D)  $-11 x^{9}-11 x^{8}+6 x^{7}+7$

Question 18

Identify the missing terms in the polynomial.
-$-4 \mathrm{x}^{3}$

Accepted Answer

A)  none 
B)  $x$ - term 
C)  $x^{2}$ - term, $x$ - term, 0 - degree term 
D)  $x^{2}$ - term, $x$ - term 
A)  none 
B)  $x$ - term 
C)  $x^{2}$ - term, $x$ - term, 0 - degree term 
D)  $x^{2}$ - term, $x$ - term

Question 19

Convert to decimal notation.
-$8.0514 \times 10^{-7}$

Accepted Answer

A)  0.000000080514 
B)  $-805,140,000$ 
C)  0.00000080514 
D)  0.0000080514 
A)  0.000000080514 
B)  $-805,140,000$ 
C)  0.00000080514 
D)  0.0000080514

Question 20

Collect like terms and then arrange in descending order.
-$-6+9 x+\frac{1}{2} x^{3}+8-x+\frac{8}{3} x^{3}$

Accepted Answer

A)  $\frac{19}{6} x^{3}+10 x+2$ 
B)  $\frac{12}{11} x^{3}+8 x+2$ 
C)  $\frac{19}{6} x^{3}+8 x+14$ 
D)  $\frac{19}{6} x^{3}+8 x+2$ 
A)  $\frac{19}{6} x^{3}+10 x+2$ 
B)  $\frac{12}{11} x^{3}+8 x+2$ 
C)  $\frac{19}{6} x^{3}+8 x+14$ 
D)  $\frac{19}{6} x^{3}+8 x+2$

Divide and simplify. - $\frac{\mathrm{p}^{3}}{\mathrm{p}^{-5}}$

Collect like terms. - $n^{3}-3 n^{4}+4 n^{2}-n^{4}-4 n^{3}$

Evaluate. - $p^{6}$ , when $p=0$

Find the degree of the polynomial. - $2 x^{6}+4 x^{4}+2 x^{3}-3$

Subtract. - $\left(-14 x+6 x^{6}-7 x^{3}\right)-\left(10 x^{3}+3 x^{6}-2 x\right)$

Write the number in scientific notation. -0.00000028905

Simplify. - $-\left(-5 x^{4}-7 x^{3}-x^{2}+3.2\right)$

Multiply. - $\left(4 \mathrm{x}^{2}+4 \mathrm{x}-2\right)\left(\mathrm{x}^{2}+4 \mathrm{x}+5\right)$

Find the total area of all shaded rectangles. -

Perform the division. - $\frac{12 x^{3}+3 x^{2}-35 x-13}{-4 x-5}$

Evaluate. -The volume of a cylinder with height $h$ and radius $r$ is given by $V=\pi r^{2} h$ . Find the volume of the cylinder. Use 3.14 for $\pi$ . $Evaluate. -The volume of a cylinder with height h and radius r is given by V=\pi r^{2} h . Find the volume of the cylinder. Use 3.14 for \pi .$

Simplify. - $-(-7 x)$

Simplify. - $\left(\frac{3}{2 y}\right)^{3}$

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

Compute each expression and compare. - $9^{2}-3^{2} ;(9-3)^{2}$

Add. - $\left(-2+4 x^{7}+3 x^{9}+2 x^{8}\right)+\left(-9 x^{8}-8 x^{7}+3+5 x^{9}\right)$

Identify the missing terms in the polynomial. - $-4 \mathrm{x}^{3}$

Convert to decimal notation. - $8.0514 \times 10^{-7}$

Collect like terms and then arrange in descending order. - $-6+9 x+\frac{1}{2} x^{3}+8-x+\frac{8}{3} x^{3}$

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

Divide and simplify. - p3p−5\frac{\mathrm{p}^{3}}{\mathrm{p}^{-5}}p−5p3​

Collect like terms. - n3−3n4+4n2−n4−4n3n^{3}-3 n^{4}+4 n^{2}-n^{4}-4 n^{3}n3−3n4+4n2−n4−4n3

Evaluate. - p6p^{6}p6 , when p=0p=0p=0

Find the degree of the polynomial. - 2x6+4x4+2x3−32 x^{6}+4 x^{4}+2 x^{3}-32x6+4x4+2x3−3

Subtract. - (−14x+6x6−7x3)−(10x3+3x6−2x)\left(-14 x+6 x^{6}-7 x^{3}\right)-\left(10 x^{3}+3 x^{6}-2 x\right)(−14x+6x6−7x3)−(10x3+3x6−2x)