Question 1

Choose the one alternative that best completes the statement or answers the question
-$-5^{0}$

Accepted Answer

A)  -5 
B)  -1 
C)  0 
D)  1 
A)  -5 
B)  -1 
C)  0 
D)  1

Question 2

Perform the indicated operations.
-$[3 \mathrm{r}+(\mathrm{s}+6)][3 \mathrm{r}-(\mathrm{s}+6)]$

Accepted Answer

A)  $9 r^{2}+s^{2}-12 s-36$ 
B)  $9 r^{2}-s^{2}-6 s-36$ 
C)  $9 r^{2}-s^{2}-12 s-36$ 
D)  $9 r^{2}-s^{2}-13 s-36$ 
A)  $9 r^{2}+s^{2}-12 s-36$ 
B)  $9 r^{2}-s^{2}-6 s-36$ 
C)  $9 r^{2}-s^{2}-12 s-36$ 
D)  $9 r^{2}-s^{2}-13 s-36$

Question 3

Choose the one alternative that best completes the statement or answers the question
-$7^{0}$

Accepted Answer

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

Question 4

Give an example of two binomials whose product is a binomial.

Accepted Answer

Answers will vary, b

Question 5

Is it true that in order to multiply a number by a negative power of ten, you must move the decimal point to the left as many places as indicated by the absolute value of the exponent on the ten?

Accepted Answer

A) True 
 B)False

Question 6

Add or subtract as indicated.
-Subtract.
$\begin{array}{l}
 -2 q^{3}+2 q^{2}-7 \
-5 q^{3}-11 q^{2}-11 q  \
\hline
\end{array}$

Accepted Answer

A)  $-33 q^{3}+9 q^{2}+11 q+7$ 
B)  $-7 q^{3}-9 q^{2}-11 q-7$ 
C)  $3 q^{3}+13 q^{2}+11 q-7$ 
D)  $-34 q^{3}-13 q^{2}-11 q+7$ 
A)  $-33 q^{3}+9 q^{2}+11 q+7$ 
B)  $-7 q^{3}-9 q^{2}-11 q-7$ 
C)  $3 q^{3}+13 q^{2}+11 q-7$ 
D)  $-34 q^{3}-13 q^{2}-11 q+7$

Question 7

Add or subtract as indicated.
-Add.
$-9 n+9$
$\underline{-12 n-3}$

Accepted Answer

A)  $-21 n+6$ 
B)  $-3 n+12$ 
C)  $3 n+12$ 
D)  $21 n+6$ 
A)  $-21 n+6$ 
B)  $-3 n+12$ 
C)  $3 n+12$ 
D)  $21 n+6$

Question 8

Perform the indicated operations.
-$\left(2 x^{3}-5 x^{2}-6 x-22\right) \div(x-4)$

Accepted Answer

A)  $2 x^{2}-x+8+\frac{1}{x-4}$ 
B)  $2 x^{2}+3 x+6$ 
C)  $2 x^{2}+3 x+6+\frac{2}{x-4}$ 
D)  $2 x^{3}+3 x+\frac{2}{x-4}$ 
A)  $2 x^{2}-x+8+\frac{1}{x-4}$ 
B)  $2 x^{2}+3 x+6$ 
C)  $2 x^{2}+3 x+6+\frac{2}{x-4}$ 
D)  $2 x^{3}+3 x+\frac{2}{x-4}$

Question 9

Choose the one alternative that best completes the statement or answers the question.
Divide
-$\frac{3 m^{3}+8 m^{2}-30 m+25}{3 m^{2}-7 m+5}$

Accepted Answer

A)  $m^{2}+5$ 
B)  $m+5$ 
C)  $m^{2}-5$ 
D)  $\mathrm{m}-5$ 
A)  $m^{2}+5$ 
B)  $m+5$ 
C)  $m^{2}-5$ 
D)  $\mathrm{m}-5$

Question 10

Find the product
-$(2 p-1)\left(4 p^{2}+2 p+1\right)$

Accepted Answer

A)  $4 p^{3}-1$ 
B)  $8 p^{3}+1$ 
C)  $8 p^{3}-1$ 
D)  $8 p^{3}+6 p^{2}-1$ 
A)  $4 p^{3}-1$ 
B)  $8 p^{3}+1$ 
C)  $8 p^{3}-1$ 
D)  $8 p^{3}+6 p^{2}-1$

Question 11

If $x \neq 0$, explain the simplification of $\frac{x^{3 n}}{x^{n}}$.

Accepted Answer

The rule for dividing numbers

Question 12

$(\mathrm{r}-6)^{2}$

Accepted Answer

A)  $36 r^{2}-12 r+36$ 
B)  $r+36$ 
C)  $r^{2}-12 r+36$ 
D)  $r^{2}+36$ 
A)  $36 r^{2}-12 r+36$ 
B)  $r+36$ 
C)  $r^{2}-12 r+36$ 
D)  $r^{2}+36$

Question 13

Graph the function.
-$g(x)=x^{2}+2 x-2$

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 14

Find the result that a calculator will give for the stated problem. Write your answer using the usual scientific notation.
-$(1.5 \mathrm{E} 15) *(5 \mathrm{E}-9)$

Accepted Answer

A)  $-7.5 \times 10^{6}$ 
B)  $7.5 \times 10^{6}$ 
C)  $7.5 \times 10^{-6}$ 
D)  $7.5 \times 10^{7}$ 
A)  $-7.5 \times 10^{6}$ 
B)  $7.5 \times 10^{6}$ 
C)  $7.5 \times 10^{-6}$ 
D)  $7.5 \times 10^{7}$

Question 15

Set up but do not divide the following. Explain.
$$\left.\left(-10 q-2 q^{3}-9 q^{2}+2 q^{4}-2\right)\right) \div\left(3-10 q^{2}+3 q\right)$$

Accepted Answer

Both polynomials mus

Question 16

Complete the division.

Accepted Answer

The answer of Complete the division.
  ...

Question 17

For the given pair of functions, find the requested function.
-$f(x)=5 x-3, g(x)=-7 x+8 ;(f+g)(x)$

Accepted Answer

A)  $-2 x+5$ 
B)  $12 x-5$ 
C)  $-2 x^{2}+5$ 
D)  $-3 x+11$ 
A)  $-2 x+5$ 
B)  $12 x-5$ 
C)  $-2 x^{2}+5$ 
D)  $-3 x+11$

Question 18

Simplify the expression so that no negative exponents appear in the final result. Assume all variables represent nonzero numbers.
-$\left(k^{-6}\right)^{8} k^{5}$

Accepted Answer

A)  $\mathrm{k}^{43}$ 
B)  $\frac{1}{\mathrm{k}^{7}}$ 
C)  $\frac{1}{\mathrm{k}^{43}}$ 
D)  $\mathrm{k}^{53}$ 
A)  $\mathrm{k}^{43}$ 
B)  $\frac{1}{\mathrm{k}^{7}}$ 
C)  $\frac{1}{\mathrm{k}^{43}}$ 
D)  $\mathrm{k}^{53}$

Question 19

Simplify the expression so that no negative exponents appear in the final result. Assume all variables represent nonzero numbers.
-$\left(\frac{2 x^{3} y^{-3}}{x^{-2} y^{4}}\right)^{-5}$

Accepted Answer

A)  $\frac{y^{35}}{2 x^{25}}$ 
B)  $\frac{y^{35}}{2 x^{5}}$ 
C)  $\frac{2 x^{25}}{y^{35}}$ 
D)  $\frac{y^{35}}{32 x^{25}}$ 
A)  $\frac{y^{35}}{2 x^{25}}$ 
B)  $\frac{y^{35}}{2 x^{5}}$ 
C)  $\frac{2 x^{25}}{y^{35}}$ 
D)  $\frac{y^{35}}{32 x^{25}}$

Question 20

Add or subtract as indicated.
-$\left(-2 r^{4}+9 r^{3}-3 r\right)-\left(8 r^{4}-9 r^{3}+6 r^{2}-2 r\right)$

Accepted Answer

A)  $-6 r^{4}-6 r^{2}+r$ 
B)  $10 \mathrm{r}^{4}-18 \mathrm{r}^{3}+6 \mathrm{r}^{2}+\mathrm{r}$ 
C)  $6 r^{4}+6 r^{2}-r$ 
D)  $-10 r^{4}+18 r^{3}-6 r^{2}-r$ 
A)  $-6 r^{4}-6 r^{2}+r$ 
B)  $10 \mathrm{r}^{4}-18 \mathrm{r}^{3}+6 \mathrm{r}^{2}+\mathrm{r}$ 
C)  $6 r^{4}+6 r^{2}-r$ 
D)  $-10 r^{4}+18 r^{3}-6 r^{2}-r$

Choose the one alternative that best completes the statement or answers the question - $-5^{0}$

Perform the indicated operations. - $[3 \mathrm{r}+(\mathrm{s}+6)][3 \mathrm{r}-(\mathrm{s}+6)]$

Choose the one alternative that best completes the statement or answers the question - $7^{0}$

Give an example of two binomials whose product is a binomial.

Is it true that in order to multiply a number by a negative power of ten, you must move the decimal point to the left as many places as indicated by the absolute value of the exponent on the ten?

Add or subtract as indicated. -Subtract. -2+2-7 -5-11-11q

Add or subtract as indicated. -Add. $-9 n+9$ $\underline{-12 n-3}$

Perform the indicated operations. - $\left(2 x^{3}-5 x^{2}-6 x-22\right) \div(x-4)$

Choose the one alternative that best completes the statement or answers the question. Divide - $\frac{3 m^{3}+8 m^{2}-30 m+25}{3 m^{2}-7 m+5}$

Find the product - $(2 p-1)\left(4 p^{2}+2 p+1\right)$

If $x \neq 0$ , explain the simplification of $\frac{x^{3 n}}{x^{n}}$ .

$(\mathrm{r}-6)^{2}$

Graph the function. - $g(x)=x^{2}+2 x-2$ $Graph the function. - g(x)=x^{2}+2 x-2$

Find the result that a calculator will give for the stated problem. Write your answer using the usual scientific notation. - $(1.5 \mathrm{E} 15) *(5 \mathrm{E}-9)$

Set up but do not divide the following. Explain. $\left.\left(-10 q-2 q^{3}-9 q^{2}+2 q^{4}-2\right)\right) \div\left(3-10 q^{2}+3 q\right)$

Complete the division.

For the given pair of functions, find the requested function. - $f(x)=5 x-3, g(x)=-7 x+8 ;(f+g)(x)$

Simplify the expression so that no negative exponents appear in the final result. Assume all variables represent nonzero numbers. - $\left(k^{-6}\right)^{8} k^{5}$

Simplify the expression so that no negative exponents appear in the final result. Assume all variables represent nonzero numbers. - $\left(\frac{2 x^{3} y^{-3}}{x^{-2} y^{4}}\right)^{-5}$

Add or subtract as indicated. - $\left(-2 r^{4}+9 r^{3}-3 r\right)-\left(8 r^{4}-9 r^{3}+6 r^{2}-2 r\right)$

Review of the Real Number System

Linear Equations, Inequalities, and Applications

Linear Equations, Graphs, and Functions

Systems of Linear Equations

Factoring

Rational Expressions and Functions

Roots, Radicals, and Root Functions

Quadratic Equations, Inequalities, and Functions

Inverse, Exponential, and Logarithmic Functions

Nonlinear Functions, Conic Sections, and Nonlinear Systems

Further Topics in Algebra

Appendices

Filters

Exam 5: Exponents, Polynomials, and Polynomial Functions

Choose the one alternative that best completes the statement or answers the question - −50-5^{0}−50

Perform the indicated operations. - [3r+(s+6)][3r−(s+6)][3 \mathrm{r}+(\mathrm{s}+6)][3 \mathrm{r}-(\mathrm{s}+6)][3r+(s+6)][3r−(s+6)]

Choose the one alternative that best completes the statement or answers the question - 707^{0}70

Give an example of two binomials whose product is a binomial.

Is it true that in order to multiply a number by a negative power of ten, you must move the decimal point to the left as many places as indicated by the absolute value of the exponent on the ten?

Add or subtract as indicated. -Subtract. -2+2-7 -5-11-11q

Add or subtract as indicated. -Add. −9n+9-9 n+9−9n+9 −12n−3‾\underline{-12 n-3}−12n−3​

Perform the indicated operations. - (2x3−5x2−6x−22)÷(x−4)\left(2 x^{3}-5 x^{2}-6 x-22\right) \div(x-4)(2x3−5x2−6x−22)÷(x−4)

Choose the one alternative that best completes the statement or answers the question. Divide - 3m3+8m2−30m+253m2−7m+5\frac{3 m^{3}+8 m^{2}-30 m+25}{3 m^{2}-7 m+5}3m2−7m+53m3+8m2−30m+25​

Find the product - (2p−1)(4p2+2p+1)(2 p-1)\left(4 p^{2}+2 p+1\right)(2p−1)(4p2+2p+1)

If x≠0x \neq 0x=0 , explain the simplification of x3nxn\frac{x^{3 n}}{x^{n}}xnx3n​ .

(r−6)2(\mathrm{r}-6)^{2}(r−6)2

Graph the function. - g(x)=x2+2x−2g(x)=x^{2}+2 x-2g(x)=x2+2x−2

Find the result that a calculator will give for the stated problem. Write your answer using the usual scientific notation. - (1.5E15)∗(5E−9)(1.5 \mathrm{E} 15) *(5 \mathrm{E}-9)(1.5E15)∗(5E−9)

Set up but do not divide the following. Explain. (−10q−2q3−9q2+2q4−2))÷(3−10q2+3q)\left.\left(-10 q-2 q^{3}-9 q^{2}+2 q^{4}-2\right)\right) \div\left(3-10 q^{2}+3 q\right)(−10q−2q3−9q2+2q4−2))÷(3−10q2+3q)

Complete the division.

For the given pair of functions, find the requested function. - f(x)=5x−3,g(x)=−7x+8;(f+g)(x)f(x)=5 x-3, g(x)=-7 x+8 ;(f+g)(x)f(x)=5x−3,g(x)=−7x+8;(f+g)(x)

Simplify the expression so that no negative exponents appear in the final result. Assume all variables represent nonzero numbers. - (k−6)8k5\left(k^{-6}\right)^{8} k^{5}(k−6)8k5

Simplify the expression so that no negative exponents appear in the final result. Assume all variables represent nonzero numbers. - (2x3y−3x−2y4)−5\left(\frac{2 x^{3} y^{-3}}{x^{-2} y^{4}}\right)^{-5}(x−2y42x3y−3​)−5

Add or subtract as indicated. - (−2r4+9r3−3r)−(8r4−9r3+6r2−2r)\left(-2 r^{4}+9 r^{3}-3 r\right)-\left(8 r^{4}-9 r^{3}+6 r^{2}-2 r\right)(−2r4+9r3−3r)−(8r4−9r3+6r2−2r)

Review of the Real Number System

Linear Equations, Inequalities, and Applications

Linear Equations, Graphs, and Functions

Systems of Linear Equations

Factoring

Rational Expressions and Functions

Roots, Radicals, and Root Functions

Quadratic Equations, Inequalities, and Functions

Inverse, Exponential, and Logarithmic Functions

Nonlinear Functions, Conic Sections, and Nonlinear Systems

Further Topics in Algebra

Appendices

Filters

Choose the one alternative that best completes the statement or answers the question - $-5^{0}$

Perform the indicated operations. - $[3 \mathrm{r}+(\mathrm{s}+6)][3 \mathrm{r}-(\mathrm{s}+6)]$

Choose the one alternative that best completes the statement or answers the question - $7^{0}$

Add or subtract as indicated. -Add. $-9 n+9$ $\underline{-12 n-3}$

Perform the indicated operations. - $\left(2 x^{3}-5 x^{2}-6 x-22\right) \div(x-4)$

Choose the one alternative that best completes the statement or answers the question. Divide - $\frac{3 m^{3}+8 m^{2}-30 m+25}{3 m^{2}-7 m+5}$

Find the product - $(2 p-1)\left(4 p^{2}+2 p+1\right)$

If $x \neq 0$ , explain the simplification of $\frac{x^{3 n}}{x^{n}}$ .

$(\mathrm{r}-6)^{2}$

Graph the function. - $g(x)=x^{2}+2 x-2$ $Graph the function. - g(x)=x^{2}+2 x-2$

Find the result that a calculator will give for the stated problem. Write your answer using the usual scientific notation. - $(1.5 \mathrm{E} 15) *(5 \mathrm{E}-9)$

Set up but do not divide the following. Explain. $\left.\left(-10 q-2 q^{3}-9 q^{2}+2 q^{4}-2\right)\right) \div\left(3-10 q^{2}+3 q\right)$

For the given pair of functions, find the requested function. - $f(x)=5 x-3, g(x)=-7 x+8 ;(f+g)(x)$

Simplify the expression so that no negative exponents appear in the final result. Assume all variables represent nonzero numbers. - $\left(k^{-6}\right)^{8} k^{5}$

Simplify the expression so that no negative exponents appear in the final result. Assume all variables represent nonzero numbers. - $\left(\frac{2 x^{3} y^{-3}}{x^{-2} y^{4}}\right)^{-5}$

Add or subtract as indicated. - $\left(-2 r^{4}+9 r^{3}-3 r\right)-\left(8 r^{4}-9 r^{3}+6 r^{2}-2 r\right)$