Question 1

Graph the solution set.
-$$| x | \leq 5$$

Accepted Answer

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

Question 2

Solve the problem.
-A personʹs emotional quotient (EQ) is found by multiplying emotional age by 100 and dividing by chronological age. Using this information, if a 8 yr old person has an EQ of 92 what is that personʹs
Emotional age?

Accepted Answer

A)  8 years old 
B)  7.36 years old 
C)  20 years old 
D)  8.7 years old 
A)  8 years old 
B)  7.36 years old 
C)  20 years old 
D)  8.7 years old

Question 3

Solve the equation.
-$$- 2 [ 7 x + 7 + 6 ( x + 1 ) ] = - 3 x + 6$$

Accepted Answer

A)  $\left\{ - \frac { 4 } { 23 } \right\}$ 
B)  $\left\{ \frac { 4 } { 7 } \right\}$ 
C)  $\left\{ \frac { 32 } { 7 } \right\}$ 
D)  $\left\{ - \frac { 32 } { 23 } \right\}$ 
A)  $\left\{ - \frac { 4 } { 23 } \right\}$ 
B)  $\left\{ \frac { 4 } { 7 } \right\}$ 
C)  $\left\{ \frac { 32 } { 7 } \right\}$ 
D)  $\left\{ - \frac { 32 } { 23 } \right\}$

Question 4

Solve and graph the inequality. Give answer in interval notation.
-$10 - 4 x - 1 \geq - 5 x + 15$

Accepted Answer

A)  $( - 4 , \infty )$
  
B)  $( - \infty , 6 ]$
  
C)  $( - \infty , - 4 )$
  
D)  $[ 6 , \infty )$
  
A)  $( - 4 , \infty )$
  
B)  $( - \infty , 6 ]$
  
C)  $( - \infty , - 4 )$
  
D)  $[ 6 , \infty )$

Question 5

Solve the problem.
-How much pure acid should be mixed with 3 gallons of a 50% acid solution in order to get an 80% acid solution?

Accepted Answer

A)  1.5 gal 
B)  12 gal 
C)  7.5 gal 
D)  4.5 gal 
A)  1.5 gal 
B)  12 gal 
C)  7.5 gal 
D)  4.5 gal

Question 6

Solve the problem.
-The profit made when $t$ units are sold, $t > 0$, is given by $P = t ^ { 2 } - 25 t + 156 .$ Determine the number of units to be sold in order for $\mathrm { P } < 0$ (a loss is taken).

Accepted Answer

A)  $12  0$ 
C)  $t  13$ 
D)  $t = 12$ or $t = 13$ 
A)  $12  0$ 
C)  $t  13$ 
D)  $t = 12$ or $t = 13$

Question 7

Solve and graph the inequality. Give answer in interval notation.
-$$\frac { 6 x - 8 } { 9 } < \frac { 31 } { 3 }$$

Accepted Answer

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

Question 8

Solve the inequality. Write the solution set in interval notation.
-$$| 4 x - 7 | - 5 \geq 1$$

Accepted Answer

A)  $\left[ \frac { 1 } { 4 } , \frac { 13 } { 4 } \right]$ 
B)  $\left[ \frac { 13 } { 4 } , \infty \right]$ 
C)  $\varnothing$ 
D)  $\left( \infty , \frac { 1 } { 4 } \right] \cup \left[ \frac { 13 } { 4 } , \infty \right)$ 
A)  $\left[ \frac { 1 } { 4 } , \frac { 13 } { 4 } \right]$ 
B)  $\left[ \frac { 13 } { 4 } , \infty \right]$ 
C)  $\varnothing$ 
D)  $\left( \infty , \frac { 1 } { 4 } \right] \cup \left[ \frac { 13 } { 4 } , \infty \right)$

Question 9

Solve the problem.
-The profit made when $t$ units are sold, $t > 0$, is given by $P = t ^ { 2 } - 30 t + 209$. Determine the number of units to be sold in order for $P = 0$ (the break- even point).

Accepted Answer

A)  $t > 11$ 
B)  $t = - 11$ or $t = - 19$ 
C)  $t = 30$ 
D)  $t = 11$ or $t = 19$ 
A)  $t > 11$ 
B)  $t = - 11$ or $t = - 19$ 
C)  $t = 30$ 
D)  $t = 11$ or $t = 19$

Question 10

Find the sum or difference. Write the answer in standard form.
-$$( - 3 + 4 i ) - 6$$

Accepted Answer

A)  $9 - 4 \mathrm { i }$ 
B)  $3 - 4 i$ 
C)  $3 + 4 \mathrm { i }$ 
D)  $- 9 + 4 \mathrm { i }$ 
A)  $9 - 4 \mathrm { i }$ 
B)  $3 - 4 i$ 
C)  $3 + 4 \mathrm { i }$ 
D)  $- 9 + 4 \mathrm { i }$

Question 11

Solve the problem.
-Chuck and Dana agree to meet in Chicago for the weekend. Chuck travels 93 miles in the same time that Dana travels 84 miles. If Chuckʹs rate of travel is 3 mph more than Danaʹs, and they
Travel the same length of time, at what speed does Chuck travel?

Accepted Answer

A)  31 mph 
B)  28 mph 
C)  23 mph 
D)  39 mph 
A)  31 mph 
B)  28 mph 
C)  23 mph 
D)  39 mph

Question 12

Solve for y.
-$$3 y + x ^ { 2 } = x + 8$$

Accepted Answer

A)  $y = x ^ { 2 } - x - 8$ 
B)  $y = x + 8 - x ^ { 2 }$ 
C)  $y = \frac { x + 8 - x ^ { 2 } } { 3 }$ 
D)  $y = \frac { x ^ { 2 } - x - 8 } { 3 }$ 
A)  $y = x ^ { 2 } - x - 8$ 
B)  $y = x + 8 - x ^ { 2 }$ 
C)  $y = \frac { x + 8 - x ^ { 2 } } { 3 }$ 
D)  $y = \frac { x ^ { 2 } - x - 8 } { 3 }$

Question 13

Decide whether or not the equations are equivalent.
-x = 1 - 3x 2x = 1

Accepted Answer

A)  Not equivalent 
B)  Equivalent 
A)  Not equivalent 
B)  Equivalent

Question 14

Solve the equation.
-$$6 x ^ { 2 / 5 } + 16 x ^ { 1 / 5 } + 8 = 0$$

Accepted Answer

A)  $\{ 2,3 \}$ 
B)  $\left\{ - 2 , - \frac { 2 } { 3 } \right\}$ 
C)  $\left\{ 32 , \frac { 32 } { 243 } \right\}$ 
D)  $\left\{ - 32 , - \frac { 32 } { 243 } \right\}$ 
A)  $\{ 2,3 \}$ 
B)  $\left\{ - 2 , - \frac { 2 } { 3 } \right\}$ 
C)  $\left\{ 32 , \frac { 32 } { 243 } \right\}$ 
D)  $\left\{ - 32 , - \frac { 32 } { 243 } \right\}$

Question 15

Solve the problem.
-Noah and Ben are running in the Walker Street Fun Run. Noah runs at 7 mph, Ben at 5 mph. If they start at the same time, how long (in minutes) will it be before they are 16 mile apart?

Accepted Answer

A)  12 min 
B)  180 min 
C)  20 min 
D)  5 min 
A)  12 min 
B)  180 min 
C)  20 min 
D)  5 min

Question 16

Indicate whether the statement is true always, sometimes, or never.
-When i is raised to an odd power, the result is -1.

Accepted Answer

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

Question 17

Solve the problem.
-A rectangular Persian carpet has a perimeter of 216 inches. The length of the carpet is 26 in. more than the width. What are the dimensions of the carpet?

Accepted Answer

A)  Width: 67 in.; length: 93 in. 
B)  Width: 82 in.; length: 108 in. 
C)  Width: 95 in.; length: 121 in. 
D)  Width: 41 in.; length: 67 in. 
A)  Width: 67 in.; length: 93 in. 
B)  Width: 82 in.; length: 108 in. 
C)  Width: 95 in.; length: 121 in. 
D)  Width: 41 in.; length: 67 in.

Question 18

Solve the formula for the indicated variable.
-$\mathrm { A } = \mathrm { P } ( 1 + \mathrm { nr } )$, for $\mathrm { n }$

Accepted Answer

A)  $n = \frac { A } { r }$ 
B)  $n = \frac { \operatorname { Pr } } { \mathrm { A } - \mathrm { P } }$ 
C)  $\mathrm { n } = \frac { \mathrm { P } - \mathrm { A } } { \mathrm { Pr } }$ 
D)  $\mathrm { n } = \frac { \mathrm { A } - \mathrm { P } } { \mathrm { Pr } }$ 
A)  $n = \frac { A } { r }$ 
B)  $n = \frac { \operatorname { Pr } } { \mathrm { A } - \mathrm { P } }$ 
C)  $\mathrm { n } = \frac { \mathrm { P } - \mathrm { A } } { \mathrm { Pr } }$ 
D)  $\mathrm { n } = \frac { \mathrm { A } - \mathrm { P } } { \mathrm { Pr } }$

Question 19

Solve and graph the inequality. Give answer in interval notation.
-$$9 > 4 x + 5 \geq - 7$$

Accepted Answer

A)  $[ - 3,1 )$
  
B)  $[ - 3,1 ]$
  
C)  $( - 3,1 )$
  
D)  $( - 3,1 ]$
  
A)  $[ - 3,1 )$
  
B)  $[ - 3,1 ]$
  
C)  $( - 3,1 )$
  
D)  $( - 3,1 ]$

Question 20

Solve the equation using the quadratic formula.
-$$\frac { 4 } { 9 } x ^ { 2 } - \frac { 4 } { 3 } x = - 1$$

Accepted Answer

A)  $\left\{ \frac { 3 } { 2 } \right\}$ 
B)  $\left\{ \frac { 3 \pm 2 \sqrt { 2 } } { 2 } \right\}$ 
C)  $\left\{ \frac { 2 } { 3 } \right\}$ 
D)  $\left\{ - \frac { 3 } { 2 } \right\}$ 
A)  $\left\{ \frac { 3 } { 2 } \right\}$ 
B)  $\left\{ \frac { 3 \pm 2 \sqrt { 2 } } { 2 } \right\}$ 
C)  $\left\{ \frac { 2 } { 3 } \right\}$ 
D)  $\left\{ - \frac { 3 } { 2 } \right\}$

Graph the solution set. - $| x | \leq 5$ $Graph the solution set. - | x | \leq 5$

Solve the problem. -A personʹs emotional quotient (EQ) is found by multiplying emotional age by 100 and dividing by chronological age. Using this information, if a 8 yr old person has an EQ of 92 what is that personʹs Emotional age?

Solve the equation. - $- 2 [ 7 x + 7 + 6 ( x + 1 ) ] = - 3 x + 6$

Solve and graph the inequality. Give answer in interval notation. - $10 - 4 x - 1 \geq - 5 x + 15$ $Solve and graph the inequality. Give answer in interval notation. - 10 - 4 x - 1 \geq - 5 x + 15$

Solve the problem. -How much pure acid should be mixed with 3 gallons of a 50% acid solution in order to get an 80% acid solution?

Solve the problem. -The profit made when $t$ units are sold, $t > 0$ , is given by $P = t ^ { 2 } - 25 t + 156 .$ Determine the number of units to be sold in order for $\mathrm { P } < 0$ (a loss is taken).

Solve and graph the inequality. Give answer in interval notation. - $\frac { 6 x - 8 } { 9 } < \frac { 31 } { 3 }$ $Solve and graph the inequality. Give answer in interval notation. - \frac { 6 x - 8 } { 9 } < \frac { 31 } { 3 }$

Solve the inequality. Write the solution set in interval notation. - $| 4 x - 7 | - 5 \geq 1$

Solve the problem. -The profit made when $t$ units are sold, $t > 0$ , is given by $P = t ^ { 2 } - 30 t + 209$ . Determine the number of units to be sold in order for $P = 0$ (the break- even point).

Find the sum or difference. Write the answer in standard form. - $( - 3 + 4 i ) - 6$

Solve the problem. -Chuck and Dana agree to meet in Chicago for the weekend. Chuck travels 93 miles in the same time that Dana travels 84 miles. If Chuckʹs rate of travel is 3 mph more than Danaʹs, and they Travel the same length of time, at what speed does Chuck travel?

Solve for y. - $3 y + x ^ { 2 } = x + 8$

Decide whether or not the equations are equivalent. -x = 1 - 3x 2x = 1

Solve the equation. - $6 x ^ { 2 / 5 } + 16 x ^ { 1 / 5 } + 8 = 0$

Solve the problem. -Noah and Ben are running in the Walker Street Fun Run. Noah runs at 7 mph, Ben at 5 mph. If they start at the same time, how long (in minutes) will it be before they are 16 mile apart?

Indicate whether the statement is true always, sometimes, or never. -When i is raised to an odd power, the result is -1.

Solve the problem. -A rectangular Persian carpet has a perimeter of 216 inches. The length of the carpet is 26 in. more than the width. What are the dimensions of the carpet?

Solve the formula for the indicated variable. - $\mathrm { A } = \mathrm { P } ( 1 + \mathrm { nr } )$ , for $\mathrm { n }$

Solve and graph the inequality. Give answer in interval notation. - $9 > 4 x + 5 \geq - 7$ $Solve and graph the inequality. Give answer in interval notation. - 9 > 4 x + 5 \geq - 7$

Solve the equation using the quadratic formula. - $\frac { 4 } { 9 } x ^ { 2 } - \frac { 4 } { 3 } x = - 1$

Graphs and Functions

Polynomial and Rational Functions

Inverse, Exponential, and Logarithmic Functions

Trigonometric Functions

The Circular Functions and Their Graphs

Trigonometric Identities and Equations

Applications of Trigonometry

Systems and Matrices

Analytic Geometry

Further Topics in Algebra

Review of Basic Concepts

Filters

Exam 1: Equations and Inequalities

Graph the solution set. - ∣x∣≤5| x | \leq 5∣x∣≤5