Question 1

Add or subtract as indicated.
-$-67+49$

Accepted Answer

A)  116 
B)  -116 
C)  18 
D)  -18 
A)  116 
B)  -116 
C)  18 
D)  -18

Question 2

Use inequality symbols to rewrite the statement.
-3 is less than $y$.

Accepted Answer

A)  $3 \leq y$ 
B)  3$\lt$y 
C)  $3>y$ 
D)  $3 \geq y$ 
A)  $3 \leq y$ 
B)  3$\lt$y 
C)  $3>y$ 
D)  $3 \geq y$

Question 3

Rewrite the statement so the inequality symbol points in the opposite direction.
-$4 \leq 29$

Accepted Answer

A)  $29 \leq 4$ 
B)  $4 \geq 29$ 
C)  $29 \geq 4$ 
D)  $29>4$ 
A)  $29 \leq 4$ 
B)  $4 \geq 29$ 
C)  $29 \geq 4$ 
D)  $29>4$

Question 4

Simplify the expression.
-$-3(2 x-7)-4 x+10$

Accepted Answer

A)  $-10 x-11$ 
B)  $2 x+31$ 
C)  $-10 x+31$ 
D)  $10 x+31$ 
A)  $-10 x-11$ 
B)  $2 x+31$ 
C)  $-10 x+31$ 
D)  $10 x+31$

Question 5

Perform the indicated operation.
-$(0.75)-(-0.23)$

Accepted Answer

A)  -0.42 
B)  -0.1725 
C)  -0.52 
D)  0.98 
A)  -0.42 
B)  -0.1725 
C)  -0.52 
D)  0.98

Question 6

Write the improper fraction as a mixed number.
-$\frac{19}{3}$

Accepted Answer

A)  $7 \frac{1}{3}$ 
B)  $5 \frac{1}{7}$ 
C)  $6 \frac{1}{3}$ 
D)  $\frac{1}{3}$ 
A)  $7 \frac{1}{3}$ 
B)  $5 \frac{1}{7}$ 
C)  $6 \frac{1}{3}$ 
D)  $\frac{1}{3}$

Question 7

Add or subtract as indicated.
-$|7+1|$

Accepted Answer

A)  -8 
B)  8 
C)  -6 
D)  6 
A)  -8 
B)  8 
C)  -6 
D)  6

Question 8

Find the square root. If it is not a real number, say so.
-$-\sqrt{529}$

Accepted Answer

A)  23 
B)  Not a real number 
C)  -23 
D)  46 
A)  23 
B)  Not a real number 
C)  -23 
D)  46

Question 9

Write the improper fraction as a mixed number.
-$\frac{50}{9}$

Accepted Answer

A)  $50 \frac{50}{9}$ 
B)  $50 \frac{9}{50}$ 
C)  $\frac{9}{50}$ 
D)  $5 \frac{5}{9}$ 
A)  $50 \frac{50}{9}$ 
B)  $50 \frac{9}{50}$ 
C)  $\frac{9}{50}$ 
D)  $5 \frac{5}{9}$

Question 10

Add as indicated. Write the answer as a fraction in lowest terms.
-$\frac{2}{21}+\frac{1}{7}$

Accepted Answer

A)  $\frac{1}{14}$ 
B)  $\frac{5}{42}$ 
C)  $\frac{3}{28}$ 
D)  $\frac{5}{21}$ 
A)  $\frac{1}{14}$ 
B)  $\frac{5}{42}$ 
C)  $\frac{3}{28}$ 
D)  $\frac{5}{21}$

Question 11

Write the set using set-builder notation.
-$\{\ldots,-3,-2,-1,0,1,2,3, \ldots\}$

Accepted Answer

A)  $\{x \mid x$ is any integer greater than -3$\}$ 
B)  $\{-3,-2,-1,0,1,2,3\}$ 
C)  $\{x \mid x$ is a natural number $\}$ 
D)  $\{x \mid x$ is an integer $\}$ 
A)  $\{x \mid x$ is any integer greater than -3$\}$ 
B)  $\{-3,-2,-1,0,1,2,3\}$ 
C)  $\{x \mid x$ is a natural number $\}$ 
D)  $\{x \mid x$ is an integer $\}$

Question 12

Perform the indicated operations.
-$7-3 \cdot 2+2(-8)$

Accepted Answer

A)  -15 
B)  17 
C)  29 
D)  -3 
A)  -15 
B)  17 
C)  29 
D)  -3

Question 13

Change the fraction to a decimal. Round as indicated.
-$\frac{2}{9}$ one decimal places

Accepted Answer

A)  0.2 
B)  0.1 
C)  0.0 
D)  1.0 
A)  0.2 
B)  0.1 
C)  0.0 
D)  1.0

Question 14

Use the order of operations to simplify the expression.
-$-|-2|-|-11-3|$

Accepted Answer

A)  16 
B)  12 
C)  -12 
D)  -16 
A)  16 
B)  12 
C)  -12 
D)  -16

Question 15

Multiply or divide as indicated. Make sure that your answer is reasonable by estimating first.
-$2.60 \times 4$

Accepted Answer

A)  6.6 
B)  10 
C)  6 
D)  10.4 
A)  6.6 
B)  10 
C)  6 
D)  10.4

Question 16

Add or subtract as indicated.
-$3-|-9|$

Accepted Answer

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

Question 17

Write the decimal as a fraction. Do not write in lowest terms.
-4.57

Accepted Answer

A)  $\frac{228.5}{100}$ 
B)  $\frac{914}{100}$ 
C)  $\frac{457}{100}$ 
D)  $\frac{1}{457}$ 
A)  $\frac{228.5}{100}$ 
B)  $\frac{914}{100}$ 
C)  $\frac{457}{100}$ 
D)  $\frac{1}{457}$

Question 18

Perform the indicated operation. Round to the nearest hundredth, if necessary.
-$\frac{-0.9}{-0.1}$

Accepted Answer

A)  9 
B)  -8.9 
C)  -9 
D)  0.09 
A)  9 
B)  -8.9 
C)  -9 
D)  0.09

Question 19

Write the set in interval notation and graph the interval.
-$\{x \mid 0\lt x \leq 3\}$

Accepted Answer

A) $ [0,3) $
  
B) $ [0,3] $
  
C) $ (0,3] $
  
D) $ (0,3) $
  
A) $ [0,3) $
  
B) $ [0,3] $
  
C) $ (0,3] $
  
D) $ (0,3) $

Question 20

Use the order of operations to simplify the expression.
-$27+4^{2}(17)-(-21)$

Accepted Answer

A)  69 
B)  752 
C)  74 
D)  320 
A)  69 
B)  752 
C)  74 
D)  320

Add or subtract as indicated. - $-67+49$

Use inequality symbols to rewrite the statement. -3 is less than $y$ .

Rewrite the statement so the inequality symbol points in the opposite direction. - $4 \leq 29$

Simplify the expression. - $-3(2 x-7)-4 x+10$

Perform the indicated operation. - $(0.75)-(-0.23)$

Write the improper fraction as a mixed number. - $\frac{19}{3}$

Add or subtract as indicated. - $|7+1|$

Find the square root. If it is not a real number, say so. - $-\sqrt{529}$

Write the improper fraction as a mixed number. - $\frac{50}{9}$

Add as indicated. Write the answer as a fraction in lowest terms. - $\frac{2}{21}+\frac{1}{7}$

Write the set using set-builder notation. - $\{\ldots,-3,-2,-1,0,1,2,3, \ldots\}$

Perform the indicated operations. - $7-3 \cdot 2+2(-8)$

Change the fraction to a decimal. Round as indicated. - $\frac{2}{9}$ one decimal places

Use the order of operations to simplify the expression. - $-|-2|-|-11-3|$

Multiply or divide as indicated. Make sure that your answer is reasonable by estimating first. - $2.60 \times 4$

Add or subtract as indicated. - $3-|-9|$

Write the decimal as a fraction. Do not write in lowest terms. -4.57

Perform the indicated operation. Round to the nearest hundredth, if necessary. - $\frac{-0.9}{-0.1}$

Write the set in interval notation and graph the interval. - $\{x \mid 0\lt x \leq 3\}$ $Write the set in interval notation and graph the interval. - \{x \mid 0\lt x \leq 3\}$

Use the order of operations to simplify the expression. - $27+4^{2}(17)-(-21)$

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

Add or subtract as indicated. - −67+49-67+49−67+49

Use inequality symbols to rewrite the statement. -3 is less than yyy .

Rewrite the statement so the inequality symbol points in the opposite direction. - 4≤294 \leq 294≤29

Simplify the expression. - −3(2x−7)−4x+10-3(2 x-7)-4 x+10−3(2x−7)−4x+10

Perform the indicated operation. - (0.75)−(−0.23)(0.75)-(-0.23)(0.75)−(−0.23)

Write the improper fraction as a mixed number. - 193\frac{19}{3}319​

Add or subtract as indicated. - ∣7+1∣|7+1|∣7+1∣

Find the square root. If it is not a real number, say so. - −529-\sqrt{529}−529​

Write the improper fraction as a mixed number. - 509\frac{50}{9}950​

Add as indicated. Write the answer as a fraction in lowest terms. - 221+17\frac{2}{21}+\frac{1}{7}212​+71​

Write the set using set-builder notation. - {…,−3,−2,−1,0,1,2,3,…}\{\ldots,-3,-2,-1,0,1,2,3, \ldots\}{…,−3,−2,−1,0,1,2,3,…}

Perform the indicated operations. - 7−3⋅2+2(−8)7-3 \cdot 2+2(-8)7−3⋅2+2(−8)

Change the fraction to a decimal. Round as indicated. - 29\frac{2}{9}92​ one decimal places

Use the order of operations to simplify the expression. - −∣−2∣−∣−11−3∣-|-2|-|-11-3|−∣−2∣−∣−11−3∣

Multiply or divide as indicated. Make sure that your answer is reasonable by estimating first. - 2.60×42.60 \times 42.60×4

Add or subtract as indicated. - 3−∣−9∣3-|-9|3−∣−9∣