Question 1

Solve the equation by the Square Root Method.
-

Accepted Answer

A) {5, 0} 
B) {0, -5} 
C) {10, 0} 
D) {0, -10} 
A) {5, 0} 
B) {0, -5} 
C) {10, 0} 
D) {0, -10}

Question 2

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

Accepted Answer

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

Question 3

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

Accepted Answer

A)    
B)    
C)    
D) {15} 
A)    
B)    
C)    
D) {15}

Question 4

Solve the equation in the complex number system.
-  + x + 1 = 0

Accepted Answer

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

Question 5

Solve the problem.
-When an object is dropped to the ground from a height of h meters, the time it takes for the object to reachthe ground is given by the equation   where t is measured in seconds. Solve the equation for h.Use the result to determine the height from which an object was dropped if it hits the ground after fallingfor 7 seconds.

Accepted Answer

A)    240.1 meters 
B) h = 24.01t; 168.1 meters 
C)    1,176.5 meters 
D) h = 4.9t; 34.3 meters 
A)    240.1 meters 
B) h = 24.01t; 168.1 meters 
C)    1,176.5 meters 
D) h = 4.9t; 34.3 meters

Question 6

Solve the equation by the Square Root Method.
-  = 144

Accepted Answer

A) {12, -12} 
B) {12} 
C) {13, -13} 
D) {72} 
A) {12, -12} 
B) {12} 
C) {13, -13} 
D) {72}

Question 7

Solve the problem.
-The function   models the amount, f(x), in billions of dollars of new student loans x yearsafter 1993. According to the model, in what year is the amount loaned expected to reach $39 billion?

Accepted Answer

A) 2,009 
B) 2,012 
C) 2,014 
D) 2,013 
A) 2,009 
B) 2,012 
C) 2,014 
D) 2,013

Question 8

Find a and b.
-

Accepted Answer

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

Question 9

Solve the equation.
-

Accepted Answer

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

Question 10

Write the word or phrase that best completes each statement or answers the question.
-At Bargain Car Rental, the cost of renting an economy car for one day is $19.95 plus 20 cents per mile. AtBest Deal Car Rental, the cost of renting a similar car for one day is $24.95 plus 15 cents per mile. Solve theinequality   to find the range of miles driven such that Best Deal is a better dealthan Bargain.

Accepted Answer

The answer of Write the word or phrase that best...

Question 11

Solve the equation.
-

Accepted Answer

A)    
B) {-5} 
C)    
D) no solution 
A)    
B) {-5} 
C)    
D) no solution

Question 12

Solve the equation in the complex number system.
-

Accepted Answer

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

Question 13

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

Accepted Answer

A) {2, 38} 
B) {3, 8} 
C) {2} 
D) {-2} 
A) {2, 38} 
B) {3, 8} 
C) {2} 
D) {-2}

Question 14

Find the real solutions of the equation. Use a calculator to express the solutions rounded to two decimal places.
-

Accepted Answer

A) {-1, 1024} 
B) {-1, 4} 
C) {-1, 1.32} 
D) {-1} 
A) {-1, 1024} 
B) {-1, 4} 
C) {-1, 1.32} 
D) {-1}

Question 15

Write the word or phrase that best completes each statement or answers the question.
Solve the problem.
-Chi is assigned to construct a triangle with the measure b of the base and the measure h of the heightdiffering by no more than 0.2 centimeters. Express the relationship between b and h as an inequalityinvolving absolute value.

Accepted Answer

The answer of Write the word or phrase that best...

Question 16

Write the word or phrase that best completes each statement or answers the question.
Solve the problem.
-A landscaping company sells 40-pound bags of top soil. The actual weight x of a bag, however, may differfrom the advertised weight by as much as 0.75 pound. Write an inequality involving absolute value thatexpresses the relationship between the actual weight x of a bag and 40 pounds. Over what range may theweight of a 40-pound bag of to soil vary?

Accepted Answer

The answer of Write the word or phrase that best...

Question 17

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

Accepted Answer

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

Question 18

Solve the problem.
-A freight train leaves a station traveling at 32 km/h. Two hours later, a passenger train leaves the samestation traveling in the same direction at 52 km/h. How long does it takes the passenger train to catch up tothe freight train?

Accepted Answer

A) 3.2 hr 
B) 4.2 hr 
C) 5.2 hr 
D) 2.2 hr 
A) 3.2 hr 
B) 4.2 hr 
C) 5.2 hr 
D) 2.2 hr

Question 19

Solve the problem.
-A boat heads upstream a distance of 30 miles on the Mississippi river, whose current is running at 5 milesper hour. If the trip back takes an hour less, what was the speed of the boat in still water? Give the answerrounded to two decimal places, if necessary.

Accepted Answer

A) 18.03 mph 
B) 16.58 mph 
C) 6 mph 
D) 15 mph 
A) 18.03 mph 
B) 16.58 mph 
C) 6 mph 
D) 15 mph

Question 20

Without solving, determine the character of the solutions of the equation in the complex number system.
-

Accepted Answer

A) a repeated real solution 
B) two unequal real solutions 
C) two complex solutions that are conjugates of each other 
A) a repeated real solution 
B) two unequal real solutions 
C) two complex solutions that are conjugates of each other

Solve the equation by the Square Root Method. -

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

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

Solve the equation in the complex number system. - + x + 1 = 0

Solve the equation by the Square Root Method. - = 144

Solve the problem. -The function models the amount, f(x), in billions of dollars of new student loans x yearsafter 1993. According to the model, in what year is the amount loaned expected to reach $39 billion?

Find a and b. -

Solve the equation. -

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. -

Find the real solutions of the equation. Use a calculator to express the solutions rounded to two decimal places. -

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

Solve the problem. -A freight train leaves a station traveling at 32 km/h. Two hours later, a passenger train leaves the samestation traveling in the same direction at 52 km/h. How long does it takes the passenger train to catch up tothe freight train?

Solve the problem. -A boat heads upstream a distance of 30 miles on the Mississippi river, whose current is running at 5 milesper hour. If the trip back takes an hour less, what was the speed of the boat in still water? Give the answerrounded to two decimal places, if necessary.

Without solving, determine the character of the solutions of the equation in the complex number system. -

Graphs

Functions and Their Graphs

Linear and Quadratic Functions

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Analytic Geometry

Systems of Equations and Inequalities

Sequences; Induction; the Binomial Theorem

Counting and Probability

Graphing Utilities

Filters

Exam 1: Equations and Inequalities

Solve the equation by the Square Root Method. -

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

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

Solve the equation in the complex number system. - + x + 1 = 0

Solve the equation by the Square Root Method. - = 144

Solve the problem. -The function models the amount, f(x), in billions of dollars of new student loans x yearsafter 1993. According to the model, in what year is the amount loaned expected to reach $39 billion?

Find a and b. -

Solve the equation. -

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. -

Find the real solutions of the equation. Use a calculator to express the solutions rounded to two decimal places. -

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

Solve the problem. -A freight train leaves a station traveling at 32 km/h. Two hours later, a passenger train leaves the samestation traveling in the same direction at 52 km/h. How long does it takes the passenger train to catch up tothe freight train?

Solve the problem. -A boat heads upstream a distance of 30 miles on the Mississippi river, whose current is running at 5 milesper hour. If the trip back takes an hour less, what was the speed of the boat in still water? Give the answerrounded to two decimal places, if necessary.

Without solving, determine the character of the solutions of the equation in the complex number system. -

Graphs

Functions and Their Graphs

Linear and Quadratic Functions

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Analytic Geometry

Systems of Equations and Inequalities

Sequences; Induction; the Binomial Theorem

Counting and Probability

Graphing Utilities

Filters