Question 1

Solve the inequality. Express your answer using interval notation.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 2

Solve the problem.
-An experienced bank auditor can check a bankʹs deposits twice as fast as a new auditor. Working togetherit takes the auditors 24 hours to do the job. How long would it take the experienced auditor workingalone?

Accepted Answer

A) 36 hr 
B) 72 hr 
C) 24 hr 
D) 48 hr

Question 3

Find the real solutions of the equation.
-

Accepted Answer

A) {-1, 1, -5, 5} 
B) {-5, 5} 
C) {-25, 25} 
D) {-26, 26}

Question 4

Find the real solutions of the equation by factoring.
-

Accepted Answer

A) {-1, 1, -2} 
B) {1, -2, 2} 
C) {-2, 2} 
D) {4}

Question 5

Fill in the blank with the correct inequality symbol.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 6

Write the expression in the standard form a + bi.
-If z = 6 - 6i and w = 7 + 4i, evaluate

Accepted Answer

A) 13 - 2i 
B) 13 + 2i 
C) -1 + 10i 
D) -13 + 2i

Question 7

Write the word or phrase that best completes each statement or answers the question.
Solve the problem.
-In one city, the local cable TV company charges $3.72 for each pay-per-view movie watched. In addition,each monthly bill contains a basic customer charge of $20.50. If last monthʹs bills ranged from a low of$31.66 to a high of $83.74, over what range did customers watch pay-per-view movies?

Accepted Answer

A) movies watched varied from 3 to 17 inclusive 
B) movies watched varied from 2 to 16 inclusive 
C) movies watched varied from 4 to 18 inclusive 
D) movies watched varied from 2 to 18 inclusive

Question 8

Solve the equation.
-

Accepted Answer

A) {-4, 4} 
B) {4} 
C) {-4} 
D) {16}

Question 9

Solve the equation in the complex number system.
-

Accepted Answer

A) {6 + 4i, 6 - 4i} 
B) {6 - 16i, 6 + 16i} 
C) {6 + 4i} 
D) {10, 2}

Question 10

Write the word or phrase that best completes each statement or answers the question.
-

Accepted Answer

A)   
B)   
C)   
D) {-8, 2}

Question 11

Solve the problem.
-Mary and her brother John collect foreign coins. Mary has twice the number of coins that John has.Together they have 135 foreign coins. Find how many coins Mary has.

Accepted Answer

A) 90 coins 
B) 45 coins 
C) 18 coins 
D) 81 coins

Question 12

Write the expression in the standard form a + bi.
-(9 + 6i)- (-3 + i)

Accepted Answer

A) 12 + 5i 
B) 12 - 5i 
C) 6 + 7i 
D) -12 - 5i

Question 13

Write the expression in the standard form a + bi.
-(9 + 3i)(9 - 3i)

Accepted Answer

A) 90 
B)   
C) 72 
D) 81 - 9i

Question 14

Express the graph shown using interval notation. Also express it as an inequality involving x.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 15

Find the real solutions, if any, of the equation. Use the quadratic formula.
-

Accepted Answer

A)   
B)   
C)   
D) no real solution

Question 16

Solve the problem.
-Two cars start from the same point and travel in the same direction. If one car is traveling 59 miles perhour and the other car is traveling at 49 miles per hour, how far apart will they be after 5.9 hours?

Accepted Answer

A) 59 mi 
B) 637.2 mi 
C) 348.1 mi 
D) 289.1 mi

Question 17

Solve the equation.
-

Accepted Answer

A) {1} 
B) {-1} 
C) {4} 
D) {-4}

Question 18

Solve the equation.
-

Accepted Answer

A) {10} 
B) {-10} 
C) {6} 
D) {-6}

Question 19

Write the inequality using interval notation, and illustrate the inequality using the real number line.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 20

Solve the problem.
-Center City East Parking Garage has a capacity of 253 cars more than Center City West Parking Garage. Ifthe combined capacity for the two garages is 1,223 cars, find the capacity for each garage.

Accepted Answer

A) Center City East: 738 cars Center City West: 485 cars 
B) Center City East: 485 cars Center City West: 738 cars 
C) Center City East: 748 cars Center City West: 475 cars 
D) Center City East: 475 cars Center City West: 748 cars

Exam 1: Equations and Inequalities

Solve the inequality. Express your answer using interval notation. -

Solve the problem. -An experienced bank auditor can check a bankʹs deposits twice as fast as a new auditor. Working togetherit takes the auditors 24 hours to do the job. How long would it take the experienced auditor workingalone?

Find the real solutions of the equation. -

Find the real solutions of the equation by factoring. -

Fill in the blank with the correct inequality symbol. -

Write the expression in the standard form a + bi. -If z = 6 - 6i and w = 7 + 4i, evaluate

Solve the equation. -

Solve the equation in the complex number system. -

Write the word or phrase that best completes each statement or answers the question. -

Solve the problem. -Mary and her brother John collect foreign coins. Mary has twice the number of coins that John has.Together they have 135 foreign coins. Find how many coins Mary has.

Write the expression in the standard form a + bi. -(9 + 6i) - (-3 + i)

Write the expression in the standard form a + bi. -(9 + 3i) (9 - 3i)

Express the graph shown using interval notation. Also express it as an inequality involving x. -

Find the real solutions, if any, of the equation. Use the quadratic formula. -

Solve the problem. -Two cars start from the same point and travel in the same direction. If one car is traveling 59 miles perhour and the other car is traveling at 49 miles per hour, how far apart will they be after 5.9 hours?

Solve the equation. -

Solve the equation. -

Write the inequality using interval notation, and illustrate the inequality using the real number line. -

Solve the problem. -Center City East Parking Garage has a capacity of 253 cars more than Center City West Parking Garage. Ifthe combined capacity for the two garages is 1,223 cars, find the capacity for each garage.