Question 1

Solve the inequality. Write the solution set in interval notation.
-$$( x + 9 ) ( x + 5 ) ( x - 10 ) < 0$$

Accepted Answer

A)  $( - \infty , - 9 ) \cup ( - 5,10 )$ 
B)  $( - 9 , - 5 ) \cup ( 10 , \infty )$ 
C)  $( 10 , \infty )$ 
D)  $( - \infty , - 5 )$ 
A)  $( - \infty , - 9 ) \cup ( - 5,10 )$ 
B)  $( - 9 , - 5 ) \cup ( 10 , \infty )$ 
C)  $( 10 , \infty )$ 
D)  $( - \infty , - 5 )$

Question 2

Solve and graph the inequality. Give answer in interval notation.
-$$- 10 < - 2 x \leq - 2$$

Accepted Answer

A)  $[ 1,5 )$
  
B)  $[ 1,5 ]$
  
C)  $( - 5 , - 1 ]$
  
D)  $[ - 5 , - 1 )$
  
A)  $[ 1,5 )$
  
B)  $[ 1,5 ]$
  
C)  $( - 5 , - 1 ]$
  
D)  $[ - 5 , - 1 )$

Question 3

Write the number as the product of a real number and i.
-$\sqrt { - 121 }$

Accepted Answer

A)  $11 \sqrt { \mathrm { i } }$ 
B)  $- 11 \mathrm { i }$ 
C)  $11 \mathrm { i }$ 
D)  $- \mathrm { i } \sqrt { 121 }$ 
A)  $11 \sqrt { \mathrm { i } }$ 
B)  $- 11 \mathrm { i }$ 
C)  $11 \mathrm { i }$ 
D)  $- \mathrm { i } \sqrt { 121 }$

Question 4

Solve the problem.
-On a recent trip, Sarah's car traveled 20 mph faster on the first 160 miles than it did on the remaining 80 miles. The total time for the trip was 4 hr. Find the speed of Sarah's car on the first
Part of the trip.

Accepted Answer

A)  52 mph 
B)  12 mph 
C)  68 mph 
D)  48 mph 
A)  52 mph 
B)  12 mph 
C)  68 mph 
D)  48 mph

Question 5

Simplify the power of i.
-$\mathrm { i } ^ { 56 }$

Accepted Answer

A)  1 
B)  i 
C)  -1 
D)  -i 
A)  1 
B)  i 
C)  -1 
D)  -i

Question 6

Write the inequality in interval notation.
-

Accepted Answer

A)  $( - 5,8 ]$ 
B)  $[ - 6,7 )$ 
C)  $[ - 7,6 )$ 
D)  $( - 7,6 ]$ 
A)  $( - 5,8 ]$ 
B)  $[ - 6,7 )$ 
C)  $[ - 7,6 )$ 
D)  $( - 7,6 ]$

Question 7

Decide what values of the variable cannot possibly be solutions for the equation.
-An experienced accountant can prepare a tax return in 13 hours. A novice accountant can do the job in 19 hours. How long will it take them to do the job working together?

Accepted Answer

A)  $\frac { 247 } { 32 } \mathrm { hr }$ 
B)  $\frac { 1 } { 247 } \mathrm { hr }$ 
C)  $\frac { 1 } { 32 } \mathrm { hr }$ 
D)  $\frac { 247 } { 6 } \mathrm { hr }$ 
A)  $\frac { 247 } { 32 } \mathrm { hr }$ 
B)  $\frac { 1 } { 247 } \mathrm { hr }$ 
C)  $\frac { 1 } { 32 } \mathrm { hr }$ 
D)  $\frac { 247 } { 6 } \mathrm { hr }$

Question 8

Identify the number as real, complex, pure imaginary, or nonreal complex. More than one of these descriptions may
apply.
-$- 14 + \mathrm { i }$

Accepted Answer

A)  Real, complex 
B)  Complex, pure imaginary, nonreal complex 
C)  Nonreal complex 
D)  Complex 
A)  Real, complex 
B)  Complex, pure imaginary, nonreal complex 
C)  Nonreal complex 
D)  Complex

Question 9

Decide what values of the variable cannot possibly be solutions for the equation.
-$$12 x ^ { - 2 } - 3 x ^ { - 1 } = 54$$

Accepted Answer

A)  $\left\{ - \frac { 9 } { 4 } , - 2 \right\}$ 
B)  $\left\{ \frac { 9 } { 4 } , - 2 \right\}$ 
C)  $\left\{ \frac { 4 } { 9 } , - \frac { 1 } { 2 } \right\}$ 
D)  $\left\{ \frac { 9 } { 4 } , 2 \right\}$ 
A)  $\left\{ - \frac { 9 } { 4 } , - 2 \right\}$ 
B)  $\left\{ \frac { 9 } { 4 } , - 2 \right\}$ 
C)  $\left\{ \frac { 4 } { 9 } , - \frac { 1 } { 2 } \right\}$ 
D)  $\left\{ \frac { 9 } { 4 } , 2 \right\}$

Question 10

Solve the problem.
-From a point on a river, two boats are driven in opposite directions, one at 5 miles per hour and the 87) other at 8 miles per hour. In how many hours will they be 26 miles apart?

Accepted Answer

A)  3 hr 
B)  4 hr 
C)  2 hr 
D)  1 hr 
A)  3 hr 
B)  4 hr 
C)  2 hr 
D)  1 hr

Question 11

Solve and graph the inequality. Give answer in interval notation.
-$$- 1 \leq \frac { x + 1 } { 2 } \leq 3$$

Accepted Answer

A)  $( - 7,1 )$
  
B)  $[ - 3,5 ]$
  
C)  $[ - 5,3 ]$
  
D)  $[ - 1,7 ]$
  
A)  $( - 7,1 )$
  
B)  $[ - 3,5 ]$
  
C)  $[ - 5,3 ]$
  
D)  $[ - 1,7 ]$

Question 12

Decide what values of the variable cannot possibly be solutions for the equation.
-$$\frac { 3 x + 8 } { 3 } - \frac { 4 x } { x - 3 } = x$$

Accepted Answer

A)  $\{ - 6 \}$ 
B)  $\left\{ - \frac { 3 } { 11 } \right\}$ 
C)  $\{ - 2 \}$ 
D)  $\left\{ \frac { 6 } { 5 } \right\}$ 
A)  $\{ - 6 \}$ 
B)  $\left\{ - \frac { 3 } { 11 } \right\}$ 
C)  $\{ - 2 \}$ 
D)  $\left\{ \frac { 6 } { 5 } \right\}$

Question 13

Determine whether or not the equation is linear.
-6x + 7x(x - 9) = 16x

Accepted Answer

A)  Linear 
B)  Not linear 
A)  Linear 
B)  Not linear

Question 14

Solve the problem.
-A person's emotional quotient (EQ) is found by multiplying emotional age by 100 and dividing by chronological age. Using this information, if a 13 yr old person has an EQ of 97 what is that
Person's emotional age?

Accepted Answer

A)  13 years old 
B)  12.61 years old 
C)  22 years old 
D)  13.4 years old 
A)  13 years old 
B)  12.61 years old 
C)  22 years old 
D)  13.4 years old

Question 15

Indicate whether the statement is true always, sometimes, or never.
-The difference between two real numbers is a real number.

Accepted Answer

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

Question 16

Solve the problem.
-A bank loaned out $69,000, part of it at the rate of 2.25% per year and the rest at a rate of 3.5% per year. If the interest received was $2065.00, how much was loaned at 2.25%?

Accepted Answer

A)  $41,000 
B)  $28,000 
C)  $29,000 
D)  $40,000 
A)  $41,000 
B)  $28,000 
C)  $29,000 
D)  $40,000

Question 17

Solve the rational inequality. Write the solution set in interval notation.
-$$\frac { 2 x + 7 } { x - 2 } \leq 0$$

Accepted Answer

A)  $\left[ - \frac { 7 } { 2 } , 2 \right]$ 
B)  $\left[ - \frac { 7 } { 2 } , 2 \right]$. 
C)  $\left[ - \infty , - \frac { 7 } { 2 } \right] \cup ( 2 , \infty )$ 
D)  $\left[ - \infty , - \frac { 7 } { 2 } \right] \cup [ 2 , \infty )$ 
A)  $\left[ - \frac { 7 } { 2 } , 2 \right]$ 
B)  $\left[ - \frac { 7 } { 2 } , 2 \right]$. 
C)  $\left[ - \infty , - \frac { 7 } { 2 } \right] \cup ( 2 , \infty )$ 
D)  $\left[ - \infty , - \frac { 7 } { 2 } \right] \cup [ 2 , \infty )$

Question 18

Decide what values of the variable cannot possibly be solutions for the equation.
-Martha can rake the leaves in her yard in 6 hours. Her brother can do the job in 8 hours. How long will it take them to do the job working together?

Accepted Answer

A)  $\frac { 24 } { 7 } \mathrm { hr }$ 
B)  $\frac { 48 } { 2 } \mathrm { hr }$ 
C)  $\frac { 1 } { 14 } \mathrm { hr }$ 
D)  $\frac { 1 } { 48 } \mathrm { hr }$ 
A)  $\frac { 24 } { 7 } \mathrm { hr }$ 
B)  $\frac { 48 } { 2 } \mathrm { hr }$ 
C)  $\frac { 1 } { 14 } \mathrm { hr }$ 
D)  $\frac { 1 } { 48 } \mathrm { hr }$

Question 19

Identify the number as real, complex, pure imaginary, or nonreal complex. More than one of these descriptions may
apply.
-0

Accepted Answer

A)  Complex, pure imaginary, nonreal complex 
B)  Nonreal complex 
C)  Complex 
D)  Real, complex 
A)  Complex, pure imaginary, nonreal complex 
B)  Nonreal complex 
C)  Complex 
D)  Real, complex

Question 20

Solve the inequality. Write the solution set in interval notation.
-$$| x - 7 | + 1 > 6$$

Accepted Answer

A)  $( - \infty , 2 ) \cup ( 14 , \infty )$ 
B)  $( 2,12 )$ 
C)  $( - \infty , - 14 ) \cup ( - 2 , \infty )$ 
D)  $( - \infty , 2 ) \cup ( 12 , \infty )$ 
A)  $( - \infty , 2 ) \cup ( 14 , \infty )$ 
B)  $( 2,12 )$ 
C)  $( - \infty , - 14 ) \cup ( - 2 , \infty )$ 
D)  $( - \infty , 2 ) \cup ( 12 , \infty )$

Solve the inequality. Write the solution set in interval notation. - $( x + 9 ) ( x + 5 ) ( x - 10 ) < 0$

Solve and graph the inequality. Give answer in interval notation. - $- 10 < - 2 x \leq - 2$ $Solve and graph the inequality. Give answer in interval notation. - - 10 < - 2 x \leq - 2$

Write the number as the product of a real number and i. - $\sqrt { - 121 }$

Solve the problem. -On a recent trip, Sarah's car traveled 20 mph faster on the first 160 miles than it did on the remaining 80 miles. The total time for the trip was 4 hr. Find the speed of Sarah's car on the first Part of the trip.

Simplify the power of i. - $\mathrm { i } ^ { 56 }$

Write the inequality in interval notation. -

Decide what values of the variable cannot possibly be solutions for the equation. -An experienced accountant can prepare a tax return in 13 hours. A novice accountant can do the job in 19 hours. How long will it take them to do the job working together?

Identify the number as real, complex, pure imaginary, or nonreal complex. More than one of these descriptions may apply. - $- 14 + \mathrm { i }$

Decide what values of the variable cannot possibly be solutions for the equation. - $12 x ^ { - 2 } - 3 x ^ { - 1 } = 54$

Solve the problem. -From a point on a river, two boats are driven in opposite directions, one at 5 miles per hour and the 87) other at 8 miles per hour. In how many hours will they be 26 miles apart?

Solve and graph the inequality. Give answer in interval notation. - $- 1 \leq \frac { x + 1 } { 2 } \leq 3$ $Solve and graph the inequality. Give answer in interval notation. - - 1 \leq \frac { x + 1 } { 2 } \leq 3$

Decide what values of the variable cannot possibly be solutions for the equation. - $\frac { 3 x + 8 } { 3 } - \frac { 4 x } { x - 3 } = x$

Determine whether or not the equation is linear. -6x + 7x(x - 9) = 16x

Solve the problem. -A person's emotional quotient (EQ) is found by multiplying emotional age by 100 and dividing by chronological age. Using this information, if a 13 yr old person has an EQ of 97 what is that Person's emotional age?

Indicate whether the statement is true always, sometimes, or never. -The difference between two real numbers is a real number.

Solve the problem. -A bank loaned out $69,000, part of it at the rate of 2.25% per year and the rest at a rate of 3.5% per year. If the interest received was $2065.00, how much was loaned at 2.25%?

Solve the rational inequality. Write the solution set in interval notation. - $\frac { 2 x + 7 } { x - 2 } \leq 0$

Decide what values of the variable cannot possibly be solutions for the equation. -Martha can rake the leaves in her yard in 6 hours. Her brother can do the job in 8 hours. How long will it take them to do the job working together?

Identify the number as real, complex, pure imaginary, or nonreal complex. More than one of these descriptions may apply. -0

Solve the inequality. Write the solution set in interval notation. - $| x - 7 | + 1 > 6$

Review of Basic Concepts

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

Filters

Exam 2: Equations and Inequalities

Solve the inequality. Write the solution set in interval notation. - (x+9)(x+5)(x−10)<0( x + 9 ) ( x + 5 ) ( x - 10 ) < 0(x+9)(x+5)(x−10)<0

Solve and graph the inequality. Give answer in interval notation. - −10<−2x≤−2- 10 < - 2 x \leq - 2−10<−2x≤−2

Write the number as the product of a real number and i. - −121\sqrt { - 121 }−121​