Question 1

Perform the indicated operations.
-$-14+11-(-2+3)$

Accepted Answer

A)  -20 
B)  -4 
C)  2 
D)  -26 
A)  -20 
B)  -4 
C)  2 
D)  -26

Question 2

Find the value of the expression.
-$|-9|+|1|-|-5|$

Accepted Answer

A)  -3 
B)  15 
C)  -13 
D)  5 
A)  -3 
B)  15 
C)  -13 
D)  5

Question 3

Find the value of the expression.
-$-|6|-|1|$

Accepted Answer

A)  -7 
B)  5 
C)  7 
D)  -5 
A)  -7 
B)  5 
C)  7 
D)  -5

Question 4

Find the square root. If it is not a real number, say so.
-$\sqrt{\frac{1}{100}}$

Accepted Answer

A)  10 
B)  $\frac{1}{5}$ 
C)  $\frac{1}{10}$ 
D)  $-\frac{1}{10}$ 
A)  10 
B)  $\frac{1}{5}$ 
C)  $\frac{1}{10}$ 
D)  $-\frac{1}{10}$

Question 5

Evaluate the expression for $a=-5, b=16$ and $c=7$.
-$9 a b+7 c$

Accepted Answer

A)  -142 
B)  175 
C)  -671 
D)  -755 
A)  -142 
B)  175 
C)  -671 
D)  -755

Question 6

Multiply as indicated. Write the answer as a fraction in lowest terms.
-$\frac{11}{12} \cdot \frac{11}{12}$

Accepted Answer

A)  $\frac{11}{12}$ 
B)  $\frac{121}{144}$ 
C)  1 
D)  $\frac{11}{288}$ 
A)  $\frac{11}{12}$ 
B)  $\frac{121}{144}$ 
C)  1 
D)  $\frac{11}{288}$

Question 7

Find the square root. If the number is not real, say so.
-$\sqrt{-169}$

Accepted Answer

A)  -13 
B)  13 
C)  Not a real number 
D)  26 
A)  -13 
B)  13 
C)  Not a real number 
D)  26

Question 8

Rewrite the statement so the inequality symbol points in the opposite direction.
-$-3>-34$

Accepted Answer

A) $3>34$ B) $-34>-3$ C) $-34<-3$ D) $34<3$ A) $3>34$ B) $-34>-3$ C) $-34<-3$ D) $34<3$

Question 9

Anne writes one page in $\frac{3}{4}$ of an hour. How many pages can she write in $2 \frac{1}{4}$ hours?

Accepted Answer

A)  1 page(s) 
B)  3 page(s) 
C)  2 page(s) 
D)  5 page(s) 
A)  1 page(s) 
B)  3 page(s) 
C)  2 page(s) 
D)  5 page(s)

Question 10

Use the distributive property to calculate the value mentally.
-$63 \cdot \frac{5}{2}-13 \cdot \frac{5}{2}$

Accepted Answer

A)  252.5 
B)  125 
C)  62.5 
D)  190 
A)  252.5 
B)  125 
C)  62.5 
D)  190

Question 11

Multiply as indicated. Write the answer as a fraction in lowest terms.
-$1 \frac{1}{4} \cdot 2 \frac{3}{5}$

Accepted Answer

A)  $\frac{52}{25}$ 
B)  $\frac{1}{8}$ 
C)  $\frac{31}{14}$ 
D)  $\frac{13}{4}$ 
A)  $\frac{52}{25}$ 
B)  $\frac{1}{8}$ 
C)  $\frac{31}{14}$ 
D)  $\frac{13}{4}$

Question 12

Graph the inequality on a number line.
-$\{x \mid x \geq 5\}$

Accepted Answer

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

Question 13

Add or subtract as indicated. Make sure that your answer is reasonable by estimating first.
-$17.2+19.742$

Accepted Answer

A)  2.542 
B)  36.942 
C)  -2.542 
D)  37.042 
A)  2.542 
B)  36.942 
C)  -2.542 
D)  37.042

Question 14

$\frac{6 \mathrm{k}-\mathrm{m}^{2}}{\mathrm{n}+(5) \mathrm{r}} ; \mathrm{k}=2, \mathrm{~m}=7, \mathrm{n}=4, \mathrm{r}=10$

Accepted Answer

A)  $\frac{37}{46}$ 
B)  $-\frac{41}{54}$ 
C)  $-\frac{37}{54}$ 
D)  $\frac{61}{54}$ 
A)  $\frac{37}{46}$ 
B)  $-\frac{41}{54}$ 
C)  $-\frac{37}{54}$ 
D)  $\frac{61}{54}$

Question 15

Add or subtract as indicated.
-$9+(-3)$

Accepted Answer

A)  -6 
B)  12 
C)  -12 
D)  6 
A)  -6 
B)  12 
C)  -12 
D)  6

Question 16

Use a number line to answer to the statement.
  
-$-15 \leq-2$

Accepted Answer

A) True 
 B)False

Question 17

Find the appropriate property for the statement.
-$-3+(7+5)=(-3+7)+5$

Accepted Answer

A)  Commutative property 
B)  Distributive property 
C)  Identity property 
D)  Associative property 
A)  Commutative property 
B)  Distributive property 
C)  Identity property 
D)  Associative property

Question 18

Multiply as indicated. Write the answer as a fraction in lowest terms.
-$1 \frac{1}{8} \cdot \frac{7}{10}$

Accepted Answer

A)  $\frac{63}{80}$ 
B)  $\frac{28}{45}$ 
C)  $\frac{3}{80}$ 
D)  $\frac{15}{19}$ 
A)  $\frac{63}{80}$ 
B)  $\frac{28}{45}$ 
C)  $\frac{3}{80}$ 
D)  $\frac{15}{19}$

Question 19

Subtract as indicated. Write the answer as a fraction in lowest terms.
-$\frac{20}{23}-\frac{10}{21}$

Accepted Answer

A)  $\frac{10}{483}$ 
B)  $\frac{190}{23}$ 
C)  $\frac{483}{190}$ 
D)  $\frac{190}{483}$ 
A)  $\frac{10}{483}$ 
B)  $\frac{190}{23}$ 
C)  $\frac{483}{190}$ 
D)  $\frac{190}{483}$

Question 20

Write the fraction in lowest terms.
-$\frac{21}{700}$

Accepted Answer

A)  $\frac{3}{100}$ 
B)  $\frac{22}{701}$ 
C)  $\frac{699}{20}$ 
D)  $\frac{100}{3}$ 
A)  $\frac{3}{100}$ 
B)  $\frac{22}{701}$ 
C)  $\frac{699}{20}$ 
D)  $\frac{100}{3}$

Perform the indicated operations. - $-14+11-(-2+3)$

Find the value of the expression. - $|-9|+|1|-|-5|$

Find the value of the expression. - $-|6|-|1|$

Find the square root. If it is not a real number, say so. - $\sqrt{\frac{1}{100}}$

Evaluate the expression for $a=-5, b=16$ and $c=7$ . - $9 a b+7 c$

Multiply as indicated. Write the answer as a fraction in lowest terms. - $\frac{11}{12} \cdot \frac{11}{12}$

Find the square root. If the number is not real, say so. - $\sqrt{-169}$

Rewrite the statement so the inequality symbol points in the opposite direction. - $-3>-34$

Anne writes one page in $\frac{3}{4}$ of an hour. How many pages can she write in $2 \frac{1}{4}$ hours?

Use the distributive property to calculate the value mentally. - $63 \cdot \frac{5}{2}-13 \cdot \frac{5}{2}$

Multiply as indicated. Write the answer as a fraction in lowest terms. - $1 \frac{1}{4} \cdot 2 \frac{3}{5}$

Graph the inequality on a number line. - $\{x \mid x \geq 5\}$ $Graph the inequality on a number line. - \{x \mid x \geq 5\}$

Add or subtract as indicated. Make sure that your answer is reasonable by estimating first. - $17.2+19.742$

$\frac{6 \mathrm{k}-\mathrm{m}^{2}}{\mathrm{n}+(5) \mathrm{r}} ; \mathrm{k}=2, \mathrm{~m}=7, \mathrm{n}=4, \mathrm{r}=10$

Add or subtract as indicated. - $9+(-3)$

Use a number line to answer to the statement. $Use a number line to answer to the statement. - -15 \leq-2$ - $-15 \leq-2$

Find the appropriate property for the statement. - $-3+(7+5)=(-3+7)+5$

Multiply as indicated. Write the answer as a fraction in lowest terms. - $1 \frac{1}{8} \cdot \frac{7}{10}$

Subtract as indicated. Write the answer as a fraction in lowest terms. - $\frac{20}{23}-\frac{10}{21}$

Write the fraction in lowest terms. - $\frac{21}{700}$

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

Perform the indicated operations. - −14+11−(−2+3)-14+11-(-2+3)−14+11−(−2+3)

Find the value of the expression. - ∣−9∣+∣1∣−∣−5∣|-9|+|1|-|-5|∣−9∣+∣1∣−∣−5∣

Find the value of the expression. - −∣6∣−∣1∣-|6|-|1|−∣6∣−∣1∣

Find the square root. If it is not a real number, say so. - 1100\sqrt{\frac{1}{100}}1001​​

Evaluate the expression for a=−5,b=16a=-5, b=16a=−5,b=16 and c=7c=7c=7 . - 9ab+7c9 a b+7 c9ab+7c

Multiply as indicated. Write the answer as a fraction in lowest terms. - 1112⋅1112\frac{11}{12} \cdot \frac{11}{12}1211​⋅1211​

Find the square root. If the number is not real, say so. - −169\sqrt{-169}−169​

Rewrite the statement so the inequality symbol points in the opposite direction. - −3>−34-3>-34−3>−34

Anne writes one page in 34\frac{3}{4}43​ of an hour. How many pages can she write in 2142 \frac{1}{4}241​ hours?

Use the distributive property to calculate the value mentally. - 63⋅52−13⋅5263 \cdot \frac{5}{2}-13 \cdot \frac{5}{2}63⋅25​−13⋅25​

Multiply as indicated. Write the answer as a fraction in lowest terms. - 114⋅2351 \frac{1}{4} \cdot 2 \frac{3}{5}141​⋅253​

Graph the inequality on a number line. - {x∣x≥5}\{x \mid x \geq 5\}{x∣x≥5}

Add or subtract as indicated. Make sure that your answer is reasonable by estimating first. - 17.2+19.74217.2+19.74217.2+19.742

6k−m2n+(5)r;k=2, m=7,n=4,r=10\frac{6 \mathrm{k}-\mathrm{m}^{2}}{\mathrm{n}+(5) \mathrm{r}} ; \mathrm{k}=2, \mathrm{~m}=7, \mathrm{n}=4, \mathrm{r}=10n+(5)r6k−m2​;k=2, m=7,n=4,r=10

Add or subtract as indicated. - 9+(−3)9+(-3)9+(−3)

Use a number line to answer to the statement. - −15≤−2-15 \leq-2−15≤−2

Find the appropriate property for the statement. - −3+(7+5)=(−3+7)+5-3+(7+5)=(-3+7)+5−3+(7+5)=(−3+7)+5

Multiply as indicated. Write the answer as a fraction in lowest terms. - 118⋅7101 \frac{1}{8} \cdot \frac{7}{10}181​⋅107​

Subtract as indicated. Write the answer as a fraction in lowest terms. - 2023−1021\frac{20}{23}-\frac{10}{21}2320​−2110​

Write the fraction in lowest terms. - 21700\frac{21}{700}70021​

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

Perform the indicated operations. - $-14+11-(-2+3)$

Find the value of the expression. - $|-9|+|1|-|-5|$

Find the value of the expression. - $-|6|-|1|$

Find the square root. If it is not a real number, say so. - $\sqrt{\frac{1}{100}}$

Evaluate the expression for $a=-5, b=16$ and $c=7$ . - $9 a b+7 c$

Multiply as indicated. Write the answer as a fraction in lowest terms. - $\frac{11}{12} \cdot \frac{11}{12}$

Find the square root. If the number is not real, say so. - $\sqrt{-169}$

Rewrite the statement so the inequality symbol points in the opposite direction. - $-3>-34$

Anne writes one page in $\frac{3}{4}$ of an hour. How many pages can she write in $2 \frac{1}{4}$ hours?

Use the distributive property to calculate the value mentally. - $63 \cdot \frac{5}{2}-13 \cdot \frac{5}{2}$

Multiply as indicated. Write the answer as a fraction in lowest terms. - $1 \frac{1}{4} \cdot 2 \frac{3}{5}$

Graph the inequality on a number line. - $\{x \mid x \geq 5\}$ $Graph the inequality on a number line. - \{x \mid x \geq 5\}$

Add or subtract as indicated. Make sure that your answer is reasonable by estimating first. - $17.2+19.742$

$\frac{6 \mathrm{k}-\mathrm{m}^{2}}{\mathrm{n}+(5) \mathrm{r}} ; \mathrm{k}=2, \mathrm{~m}=7, \mathrm{n}=4, \mathrm{r}=10$

Add or subtract as indicated. - $9+(-3)$

Use a number line to answer to the statement. $Use a number line to answer to the statement. - -15 \leq-2$ - $-15 \leq-2$

Find the appropriate property for the statement. - $-3+(7+5)=(-3+7)+5$

Multiply as indicated. Write the answer as a fraction in lowest terms. - $1 \frac{1}{8} \cdot \frac{7}{10}$

Subtract as indicated. Write the answer as a fraction in lowest terms. - $\frac{20}{23}-\frac{10}{21}$

Write the fraction in lowest terms. - $\frac{21}{700}$