The table shows the heights in feet of some mountains and the depths in feet (as negative number) of some ocean trenches. $\begin{array}{cc|cc} \hline \text {Mountain} &\text { Height} & \text {Trench} &\text { Depth }\\ \hline \text {A }& 16,200 & \mathrm{P}& -31,927\\ \mathrm{~B} & 16,743 & \mathrm{Q} & -25,749 \\ \mathrm{C} & 15,438 & \mathrm{R} & -22,389 \\ \hline \end{array}$ How much deeper is the trench $\mathrm{Q}$ than the trench $\mathrm{R}$ ?

A) $3360 \mathrm{ft}$ B) $48,138 \mathrm{ft}$ C) $-48,138 \mathrm{ft}$ D) $-3360 \mathrm{ft}$ A) $3360 \mathrm{ft}$ B) $48,138 \mathrm{ft}$ C) $-48,138 \mathrm{ft}$ D) $-3360 \mathrm{ft}$

Exam 1: Review of the Real Number System

To obtain a certain shade of paint, Peter mixed $2 \frac{4}{5}$ gallons of white paint with $1 \frac{5}{8}$ gallons of brown and $9 \frac{1}{2}$ gallons of blue paint. How much paint did he have?

(Multiple Choice)

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Question 241

Use a number line to answer to the statement. - $24<-14$

(True/False)

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Question 242

The table shows the heights in feet of some mountains and the depths in feet (as negative number) of some ocean trenches. Mountain Height Trench Depth A 16,200 -31,927 16,743 -25,749 15,438 -22,389 How much deeper is the trench $\mathrm{Q}$ than the trench $\mathrm{R}$ ?

(Multiple Choice)

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Question 243

Use the indicated property to write a new expression equal to the given one. Simplify the expression if possible. - $3 \cdot \frac{1}{3}$ ; inverse

(Multiple Choice)

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(31)

Question 244

Write the set by listing its elements. - $\{\mathrm{p} \mid \mathrm{p}$ is an irrational number that is also rational $\}$

(Multiple Choice)

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Question 245

Divide as indicated. Write the answer as a fraction in lowest terms. - $\frac{11}{14} \div 2 \frac{2}{9}$

(Multiple Choice)

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Question 246

An approximation of the amount in billions of dollars that Americans have spent on their pets from 2001 to 2006 can be obtained by substituting a given year for $x$ in the expression $1.743 x-3293$ . How has the amount Americans have spent on their pets changed from 2001 to 2006 ?

(Multiple Choice)

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Question 247

Subtract as indicated. Write the answer as a fraction in lowest terms. - $4 \frac{2}{3}-4 \frac{3}{5}$

(Multiple Choice)

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(31)

Question 248

Simplify the expression. - $6(2 m+6)-3(3 m+6)$

(Multiple Choice)

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(31)

Question 249

Write the fraction in lowest terms. - $\frac{38}{46}$

(Multiple Choice)

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(39)

Question 250

Write the mixed number as an improper fraction. - $7 \frac{5}{7}$

(Multiple Choice)

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(28)

Question 251

Rewrite the statement so the inequality symbol points in the opposite direction. --23 $\lt$ x

(Multiple Choice)

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(27)

Question 252

Write the improper fraction as a mixed number. - $\frac{113}{5}$

(Multiple Choice)

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(41)

Question 253

Write the fraction as a percent. Round to the nearest tenth of a percent if necessary. - $\frac{9}{11}$

(Multiple Choice)

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(43)

Question 254

Add or subtract as indicated. Make sure that your answer is reasonable by estimating first. - $7+4.33+0.421$

(Multiple Choice)

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(31)

Question 255

Simplify the expression. - $-6 z-(-2 z)$

(Multiple Choice)

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(28)

Question 256

Subtract as indicated. Write the answer as a fraction in lowest terms. - $\frac{6}{7}-\frac{3}{7}$

(Multiple Choice)

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Question 257

Write the set using set-builder notation. - $\{18,19,20,21\}$

(Multiple Choice)

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Question 258

Use the distributive property to calculate the value mentally. - $\frac{8}{5}(66)+\frac{8}{5}(-16)$

(Multiple Choice)

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(34)

Question 259

List the elements from A that belong to the set. - $\mathrm{A}=\left\{-\sqrt{8},-6,-0.66,0, \sqrt{16}, \frac{14}{2}, 2, \sqrt{-2}\right\}$ Whole numbers

(Multiple Choice)

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Question 260

To obtain a certain shade of paint, Peter mixed $2 \frac{4}{5}$ gallons of white paint with $1 \frac{5}{8}$ gallons of brown and $9 \frac{1}{2}$ gallons of blue paint. How much paint did he have?

Use a number line to answer to the statement. - $24<-14$

The table shows the heights in feet of some mountains and the depths in feet (as negative number) of some ocean trenches. Mountain Height Trench Depth A 16,200 -31,927 16,743 -25,749 15,438 -22,389 How much deeper is the trench $\mathrm{Q}$ than the trench $\mathrm{R}$ ?

Use the indicated property to write a new expression equal to the given one. Simplify the expression if possible. - $3 \cdot \frac{1}{3}$ ; inverse

Write the set by listing its elements. - $\{\mathrm{p} \mid \mathrm{p}$ is an irrational number that is also rational $\}$

Divide as indicated. Write the answer as a fraction in lowest terms. - $\frac{11}{14} \div 2 \frac{2}{9}$

An approximation of the amount in billions of dollars that Americans have spent on their pets from 2001 to 2006 can be obtained by substituting a given year for $x$ in the expression $1.743 x-3293$ . How has the amount Americans have spent on their pets changed from 2001 to 2006 ?

Subtract as indicated. Write the answer as a fraction in lowest terms. - $4 \frac{2}{3}-4 \frac{3}{5}$

Simplify the expression. - $6(2 m+6)-3(3 m+6)$

Write the fraction in lowest terms. - $\frac{38}{46}$

Write the mixed number as an improper fraction. - $7 \frac{5}{7}$

Rewrite the statement so the inequality symbol points in the opposite direction. --23 $\lt$ x

Write the improper fraction as a mixed number. - $\frac{113}{5}$

Write the fraction as a percent. Round to the nearest tenth of a percent if necessary. - $\frac{9}{11}$

Add or subtract as indicated. Make sure that your answer is reasonable by estimating first. - $7+4.33+0.421$

Simplify the expression. - $-6 z-(-2 z)$

Subtract as indicated. Write the answer as a fraction in lowest terms. - $\frac{6}{7}-\frac{3}{7}$

Write the set using set-builder notation. - $\{18,19,20,21\}$

Use the distributive property to calculate the value mentally. - $\frac{8}{5}(66)+\frac{8}{5}(-16)$

List the elements from A that belong to the set. - $\mathrm{A}=\left\{-\sqrt{8},-6,-0.66,0, \sqrt{16}, \frac{14}{2}, 2, \sqrt{-2}\right\}$ Whole numbers

Linear Equations, Inequalities, and Applications

Linear Equations, Graphs, and Functions

Systems of Linear Equations

Exponents, Polynomials, and Polynomial Functions

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 1: Review of the Real Number System

To obtain a certain shade of paint, Peter mixed 2452 \frac{4}{5}254​ gallons of white paint with 1581 \frac{5}{8}185​ gallons of brown and 9129 \frac{1}{2}921​ gallons of blue paint. How much paint did he have?

Use a number line to answer to the statement. - 24<−1424<-1424<−14

The table shows the heights in feet of some mountains and the depths in feet (as negative number) of some ocean trenches. Mountain Height Trench Depth A 16,200 -31,927 16,743 -25,749 15,438 -22,389 How much deeper is the trench Q\mathrm{Q}Q than the trench R\mathrm{R}R ?

Use the indicated property to write a new expression equal to the given one. Simplify the expression if possible. - 3⋅133 \cdot \frac{1}{3}3⋅31​ ; inverse

Write the set by listing its elements. - {p∣p\{\mathrm{p} \mid \mathrm{p}{p∣p is an irrational number that is also rational }\}}

Divide as indicated. Write the answer as a fraction in lowest terms. - 1114÷229\frac{11}{14} \div 2 \frac{2}{9}1411​÷292​

Subtract as indicated. Write the answer as a fraction in lowest terms. - 423−4354 \frac{2}{3}-4 \frac{3}{5}432​−453​

Simplify the expression. - 6(2m+6)−3(3m+6)6(2 m+6)-3(3 m+6)6(2m+6)−3(3m+6)

Write the fraction in lowest terms. - 3846\frac{38}{46}4638​

Write the mixed number as an improper fraction. - 7577 \frac{5}{7}775​

Rewrite the statement so the inequality symbol points in the opposite direction. --23 <\lt< x

Write the improper fraction as a mixed number. - 1135\frac{113}{5}5113​

Write the fraction as a percent. Round to the nearest tenth of a percent if necessary. - 911\frac{9}{11}119​

Add or subtract as indicated. Make sure that your answer is reasonable by estimating first. - 7+4.33+0.4217+4.33+0.4217+4.33+0.421

Simplify the expression. - −6z−(−2z)-6 z-(-2 z)−6z−(−2z)

Subtract as indicated. Write the answer as a fraction in lowest terms. - 67−37\frac{6}{7}-\frac{3}{7}76​−73​

Write the set using set-builder notation. - {18,19,20,21}\{18,19,20,21\}{18,19,20,21}

Use the distributive property to calculate the value mentally. - 85(66)+85(−16)\frac{8}{5}(66)+\frac{8}{5}(-16)58​(66)+58​(−16)

List the elements from A that belong to the set. - A={−8,−6,−0.66,0,16,142,2,−2}\mathrm{A}=\left\{-\sqrt{8},-6,-0.66,0, \sqrt{16}, \frac{14}{2}, 2, \sqrt{-2}\right\}A={−8​,−6,−0.66,0,16​,214​,2,−2​} Whole numbers

Linear Equations, Inequalities, and Applications

Linear Equations, Graphs, and Functions

Systems of Linear Equations

Exponents, Polynomials, and Polynomial Functions

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

To obtain a certain shade of paint, Peter mixed $2 \frac{4}{5}$ gallons of white paint with $1 \frac{5}{8}$ gallons of brown and $9 \frac{1}{2}$ gallons of blue paint. How much paint did he have?

Use a number line to answer to the statement. - $24<-14$

The table shows the heights in feet of some mountains and the depths in feet (as negative number) of some ocean trenches. Mountain Height Trench Depth A 16,200 -31,927 16,743 -25,749 15,438 -22,389 How much deeper is the trench $\mathrm{Q}$ than the trench $\mathrm{R}$ ?

Use the indicated property to write a new expression equal to the given one. Simplify the expression if possible. - $3 \cdot \frac{1}{3}$ ; inverse

Write the set by listing its elements. - $\{\mathrm{p} \mid \mathrm{p}$ is an irrational number that is also rational $\}$

Divide as indicated. Write the answer as a fraction in lowest terms. - $\frac{11}{14} \div 2 \frac{2}{9}$

Subtract as indicated. Write the answer as a fraction in lowest terms. - $4 \frac{2}{3}-4 \frac{3}{5}$

Simplify the expression. - $6(2 m+6)-3(3 m+6)$

Write the fraction in lowest terms. - $\frac{38}{46}$

Write the mixed number as an improper fraction. - $7 \frac{5}{7}$

Rewrite the statement so the inequality symbol points in the opposite direction. --23 $\lt$ x

Write the improper fraction as a mixed number. - $\frac{113}{5}$

Write the fraction as a percent. Round to the nearest tenth of a percent if necessary. - $\frac{9}{11}$

Add or subtract as indicated. Make sure that your answer is reasonable by estimating first. - $7+4.33+0.421$

Simplify the expression. - $-6 z-(-2 z)$

Subtract as indicated. Write the answer as a fraction in lowest terms. - $\frac{6}{7}-\frac{3}{7}$

Write the set using set-builder notation. - $\{18,19,20,21\}$

Use the distributive property to calculate the value mentally. - $\frac{8}{5}(66)+\frac{8}{5}(-16)$

List the elements from A that belong to the set. - $\mathrm{A}=\left\{-\sqrt{8},-6,-0.66,0, \sqrt{16}, \frac{14}{2}, 2, \sqrt{-2}\right\}$ Whole numbers