Question 1

Write the set by listing its elements.
-$\{x \mid x$ is a natural number less than 15$\}$

Accepted Answer

A)  $\{0,1, \ldots, 12,13,14\}$ 
B)  $\{1, \ldots, 12,13,14\}$ 
C)  $\{1, \ldots, 12,13,14,15\}$ 
D)  $\{1, \ldots, 10,12,14\}$ 
A)  $\{0,1, \ldots, 12,13,14\}$ 
B)  $\{1, \ldots, 12,13,14\}$ 
C)  $\{1, \ldots, 12,13,14,15\}$ 
D)  $\{1, \ldots, 10,12,14\}$

Question 2

Give the additive inverse of the number.
-0.52

Accepted Answer

A)  $\frac{13}{25}$ 
B)  -0.52 
C)  0.52 
D)  $\frac{1}{52}$ 
A)  $\frac{13}{25}$ 
B)  -0.52 
C)  0.52 
D)  $\frac{1}{52}$

Question 3

Find the square root. If it is not a real number, say so.
-$\sqrt{-576}$

Accepted Answer

A)  48 
B)  -24 
C)  Not a real number 
D)  24 
A)  48 
B)  -24 
C)  Not a real number 
D)  24

Question 4

The graphs show the sales of two companies competing for market share.
  
-During which years were the sales of Company B greater than or equal to 1.8 million items?

Accepted Answer

A)  2005, 2006, 2007 
B)  2005, 2006, 2007, 2008 
C)  $2008,2009,2010$ 
D)  2009,2010 
A)  2005, 2006, 2007 
B)  2005, 2006, 2007, 2008 
C)  $2008,2009,2010$ 
D)  2009,2010

Question 5

Use the order of operations to simplify the expression.
-$ \frac{6-3\left(\frac{-5-13}{-9}\right)-3}{-20-6+27} $

Accepted Answer

A)  9 
B)  -3 
C)  -51 
D)  $-\frac{1}{9}$ 
A)  9 
B)  -3 
C)  -51 
D)  $-\frac{1}{9}$

Question 6

Perform the indicated operations.
-$\frac{-5[5-(-8-2)+8]}{\sqrt{25}(-8)-(-2)}$

Accepted Answer

A)  $-\frac{115}{38}$ 
B)  $-\frac{5}{2}$ 
C)  $-\frac{95}{42}$ 
D)  $\frac{115}{38}$ 
A)  $-\frac{115}{38}$ 
B)  $-\frac{5}{2}$ 
C)  $-\frac{95}{42}$ 
D)  $\frac{115}{38}$

Question 7

A student claims that $\{0\}$ is the same set as $\varnothing$ because zero means none, hence the number of elements in $\{0\}$ is none. Was the student correct? Explain your answer.

Accepted Answer

No, the number zero

Question 8

Explain why the statement $\mathrm{x}5$ cannot be written: $5<\mathrm{x}<2$.

Accepted Answer

"5 < x <2"

Question 9

Use the order of operations to simplify the expression.
-$2+(24 \cdot 21)-10$

Accepted Answer

A)  286 
B)  37 
C)  496 
D)  536 
A)  286 
B)  37 
C)  496 
D)  536

Question 10

Perform the indicated operation.
-$\frac{-\frac{25}{18}}{\frac{1}{10}}$

Accepted Answer

A)  $\frac{125}{9}$ 
B)  $\frac{9}{125}$ 
C)  $-\frac{125}{9}$ 
D)  $-\frac{9}{125}$ 
A)  $\frac{125}{9}$ 
B)  $\frac{9}{125}$ 
C)  $-\frac{125}{9}$ 
D)  $-\frac{9}{125}$

Question 11

Graph the inequality on a number line.
-$\{x \mid x \leq 0\}$

Accepted Answer

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

Question 12

Find the square root. If it is not a real number, say so.
-$\sqrt{\frac{25}{64}}$

Accepted Answer

A)  $\frac{5}{\sqrt{64}}$ 
B)  $\frac{8}{5}$ 
C)  $\frac{\sqrt{25}}{8}$ 
D)  $\frac{5}{8}$ 
A)  $\frac{5}{\sqrt{64}}$ 
B)  $\frac{8}{5}$ 
C)  $\frac{\sqrt{25}}{8}$ 
D)  $\frac{5}{8}$

Question 13

Determine whether the inequality is 
-$6+3 \leq 7 \cdot 5$

Accepted Answer

A) True 
 B)False

Question 14

Write the fraction in lowest terms.
-$\frac{88}{33}$

Accepted Answer

A)  $\frac{3}{8}$ 
B)  $\frac{11}{3}$ 
C)  $\frac{88}{33}$ 
D)  $\frac{8}{3}$ 
A)  $\frac{3}{8}$ 
B)  $\frac{11}{3}$ 
C)  $\frac{88}{33}$ 
D)  $\frac{8}{3}$

Question 15

Write the percent as a fraction in lowest terms.
-$0.2 \%$

Accepted Answer

A)  $\frac{1}{250}$ 
B)  $\frac{1}{1000}$ 
C)  $\frac{1}{500}$ 
D)  $\frac{1}{50}$ 
A)  $\frac{1}{250}$ 
B)  $\frac{1}{1000}$ 
C)  $\frac{1}{500}$ 
D)  $\frac{1}{50}$

Question 16

Write the set in interval notation and graph the interval.
-$\{x \mid x<6\}$

Accepted Answer

A) $ (\infty, 6] $ 
  
B) $ (\infty, 6) $
  
C) $ [6, \infty) $
  
D) $ (6, \infty) $
  
A) $ (\infty, 6] $ 
  
B) $ (\infty, 6) $
  
C) $ [6, \infty) $
  
D) $ (6, \infty) $

Question 17

Which property justifies the statement?
$(3+8)+7=(8+3)+7$

Accepted Answer

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

Question 18

Perform the indicated operation. Round to the nearest hundredth, if necessary.
-$\frac{-7.2}{0.09}$

Accepted Answer

A)  -80 
B)  -7.11 
C)  $-\frac{1}{80}$ 
D)  -71.1 
A)  -80 
B)  -7.11 
C)  $-\frac{1}{80}$ 
D)  -71.1

Question 19

Decide whether the statement is .
-The sum of two negative numbers is positive.

Accepted Answer

A)  Never true 
B)  Sometimes true 
C)  Always true 
A)  Never true 
B)  Sometimes true 
C)  Always true

Question 20

Write the set using set-builder notation.
-$\{-5,-4,-3,-2, \ldots\}$

Accepted Answer

A)  $\{-5,-4,-3,-2\}$ 
B)  $\{x \mid x$ is an integer between -6 and -1$\}$ 
C)  $\{x \mid x$ is an integer greater than -6$\}$ 
D)  $\{x \mid x$ is any integer $\}$ 
A)  $\{-5,-4,-3,-2\}$ 
B)  $\{x \mid x$ is an integer between -6 and -1$\}$ 
C)  $\{x \mid x$ is an integer greater than -6$\}$ 
D)  $\{x \mid x$ is any integer $\}$

Write the set by listing its elements. - $\{x \mid x$ is a natural number less than 15 $\}$

Give the additive inverse of the number. -0.52

Find the square root. If it is not a real number, say so. - $\sqrt{-576}$

The graphs show the sales of two companies competing for market share. -During which years were the sales of Company B greater than or equal to 1.8 million items?

Use the order of operations to simplify the expression. - $\frac{6-3\left(\frac{-5-13}{-9}\right)-3}{-20-6+27}$

Perform the indicated operations. - $\frac{-5[5-(-8-2)+8]}{\sqrt{25}(-8)-(-2)}$

A student claims that $\{0\}$ is the same set as $\varnothing$ because zero means none, hence the number of elements in $\{0\}$ is none. Was the student correct? Explain your answer.

Explain why the statement $\mathrm{x}<2$ or $\mathrm{x}>5$ cannot be written: $5<\mathrm{x}<2$ .

Use the order of operations to simplify the expression. - $2+(24 \cdot 21)-10$

Perform the indicated operation. - $\frac{-\frac{25}{18}}{\frac{1}{10}}$

Graph the inequality on a number line. - $\{x \mid x \leq 0\}$ $Graph the inequality on a number line. - \{x \mid x \leq 0\}$

Find the square root. If it is not a real number, say so. - $\sqrt{\frac{25}{64}}$

Determine whether the inequality is - $6+3 \leq 7 \cdot 5$

Write the fraction in lowest terms. - $\frac{88}{33}$

Write the percent as a fraction in lowest terms. - $0.2 \%$

Write the set in interval notation and graph the interval. - $\{x \mid x<6\}$ $Write the set in interval notation and graph the interval. - \{x \mid x<6\}$

Which property justifies the statement? $(3+8)+7=(8+3)+7$

Perform the indicated operation. Round to the nearest hundredth, if necessary. - $\frac{-7.2}{0.09}$

Decide whether the statement is . -The sum of two negative numbers is positive.

Write the set using set-builder notation. - $\{-5,-4,-3,-2, \ldots\}$

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

Write the set by listing its elements. - {x∣x\{x \mid x{x∣x is a natural number less than 15 }\}}

Give the additive inverse of the number. -0.52

Find the square root. If it is not a real number, say so. - −576\sqrt{-576}−576​

The graphs show the sales of two companies competing for market share. -During which years were the sales of Company B greater than or equal to 1.8 million items?

Use the order of operations to simplify the expression. - 6−3(−5−13−9)−3−20−6+27 \frac{6-3\left(\frac{-5-13}{-9}\right)-3}{-20-6+27} −20−6+276−3(−9−5−13​)−3​

Perform the indicated operations. - −5[5−(−8−2)+8]25(−8)−(−2)\frac{-5[5-(-8-2)+8]}{\sqrt{25}(-8)-(-2)}25​(−8)−(−2)−5[5−(−8−2)+8]​

A student claims that {0}\{0\}{0} is the same set as ∅\varnothing∅ because zero means none, hence the number of elements in {0}\{0\}{0} is none. Was the student correct? Explain your answer.

Explain why the statement x<2\mathrm{x}<2x<2 or x>5\mathrm{x}>5x>5 cannot be written: 5<x<25<\mathrm{x}<25<x<2 .

Use the order of operations to simplify the expression. - 2+(24⋅21)−102+(24 \cdot 21)-102+(24⋅21)−10

Perform the indicated operation. - −2518110\frac{-\frac{25}{18}}{\frac{1}{10}}101​−1825​​

Graph the inequality on a number line. - {x∣x≤0}\{x \mid x \leq 0\}{x∣x≤0}

Find the square root. If it is not a real number, say so. - 2564\sqrt{\frac{25}{64}}6425​​

Determine whether the inequality is - 6+3≤7⋅56+3 \leq 7 \cdot 56+3≤7⋅5

Write the fraction in lowest terms. - 8833\frac{88}{33}3388​

Write the percent as a fraction in lowest terms. - 0.2%0.2 \%0.2%

Write the set in interval notation and graph the interval. - {x∣x<6}\{x \mid x<6\}{x∣x<6}

Which property justifies the statement? (3+8)+7=(8+3)+7(3+8)+7=(8+3)+7(3+8)+7=(8+3)+7

Perform the indicated operation. Round to the nearest hundredth, if necessary. - −7.20.09\frac{-7.2}{0.09}0.09−7.2​

Decide whether the statement is . -The sum of two negative numbers is positive.

Write the set using set-builder notation. - {−5,−4,−3,−2,…}\{-5,-4,-3,-2, \ldots\}{−5,−4,−3,−2,…}

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

Write the set by listing its elements. - $\{x \mid x$ is a natural number less than 15 $\}$

Find the square root. If it is not a real number, say so. - $\sqrt{-576}$

Use the order of operations to simplify the expression. - $\frac{6-3\left(\frac{-5-13}{-9}\right)-3}{-20-6+27}$

Perform the indicated operations. - $\frac{-5[5-(-8-2)+8]}{\sqrt{25}(-8)-(-2)}$

A student claims that $\{0\}$ is the same set as $\varnothing$ because zero means none, hence the number of elements in $\{0\}$ is none. Was the student correct? Explain your answer.

Explain why the statement $\mathrm{x}<2$ or $\mathrm{x}>5$ cannot be written: $5<\mathrm{x}<2$ .

Use the order of operations to simplify the expression. - $2+(24 \cdot 21)-10$

Perform the indicated operation. - $\frac{-\frac{25}{18}}{\frac{1}{10}}$

Graph the inequality on a number line. - $\{x \mid x \leq 0\}$ $Graph the inequality on a number line. - \{x \mid x \leq 0\}$

Find the square root. If it is not a real number, say so. - $\sqrt{\frac{25}{64}}$

Determine whether the inequality is - $6+3 \leq 7 \cdot 5$

Write the fraction in lowest terms. - $\frac{88}{33}$

Write the percent as a fraction in lowest terms. - $0.2 \%$

Write the set in interval notation and graph the interval. - $\{x \mid x<6\}$ $Write the set in interval notation and graph the interval. - \{x \mid x<6\}$

Which property justifies the statement? $(3+8)+7=(8+3)+7$

Perform the indicated operation. Round to the nearest hundredth, if necessary. - $\frac{-7.2}{0.09}$

Write the set using set-builder notation. - $\{-5,-4,-3,-2, \ldots\}$