Question 1

Solve the following compound inequality. Write the solution in interval notation.

Accepted Answer

A)    
B)    
C)    
D)    
E)  The set of real numbers 
A)    
B)    
C)    
D)    
E)  The set of real numbers

Question 2

Solve the inequality   . Write the solution in set-builder notation.

Accepted Answer

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

Question 3

Solve.

Accepted Answer

A)  -15 
B)  -8 
C)  -22 
D)  24 
E)  2 
A)  -15 
B)  -8 
C)  -22 
D)  24 
E)  2

Question 4

Solve the inequality   . Write the solution in interval notation.

Accepted Answer

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

Question 5

Solve   .

Accepted Answer

A)    
B)    
C)    
D)  The set of real numbers 
E)    
A)    
B)    
C)    
D)  The set of real numbers 
E)

Question 6

As part of a training program, a runner wants to build endurance by running at a rate of 10 mph for 48 min. How many miles will the runner travel in that time period?

Accepted Answer

A)  480 mi 
B)  58 mi 
C)  9 mi 
D)  8 mi 
E)  4.8 mi 
A)  480 mi 
B)  58 mi 
C)  9 mi 
D)  8 mi 
E)  4.8 mi

Question 7

The sum of twice a number and six is eighteen. Find the number.

Accepted Answer

A)  3 
B)  9 
C)  6 
D)  0 
E)  17 
A)  3 
B)  9 
C)  6 
D)  0 
E)  17

Question 8

Solve.

Accepted Answer

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

Question 9

An herbalist has 20 oz of herbs costing $2.10 per ounce. How many ounces of herbs costing $1 per ounce should be mixed with the 20 oz to produce a mixture costing $1.44 per ounce?

Accepted Answer

A)  36 oz 
B)  34 oz 
C)  25 oz 
D)  30 oz 
E)  39 oz 
A)  36 oz 
B)  34 oz 
C)  25 oz 
D)  30 oz 
E)  39 oz

Question 10

A tea that is 18% jasmine is blended with a tea that is 12% jasmine. How many pounds of the 18% jasmine tea are used to make 10 lb of tea that is 13.8% jasmine?

Accepted Answer

A)  3 lb 
B)  5 lb 
C)  1 lb 
D)  4 lb 
E)  2 lb 
A)  3 lb 
B)  5 lb 
C)  1 lb 
D)  4 lb 
E)  2 lb

Question 11

A motorboat leaves a harbor and travels at an average speed of 12 mph towards a small island. Two hours later, a cabin cruiser leaves the same harbor at an average speed of 24 mph toward the same island. In how many hours after the cabin cruiser leaves the harbor will it be alongside the motorboat?

Accepted Answer

A)  1 h 
B)  8 h 
C)  2 h 
D)  7 h 
E)  6 h 
A)  1 h 
B)  8 h 
C)  2 h 
D)  7 h 
E)  6 h

Question 12

Solve the inequality   . Write the solution in set-builder notation.

Accepted Answer

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

Question 13

Solve   .

Accepted Answer

A)  The set of real numbers 
B)    
C)    
D)    
E)    
A)  The set of real numbers 
B)    
C)    
D)    
E)

Question 14

Solve.

Accepted Answer

A)  4 
B)  -4 
C)  12 
D)  -20 
E)  -12 
A)  4 
B)  -4 
C)  12 
D)  -20 
E)  -12

Question 15

Solve the following compound inequality. Write the solution in interval notation.

Accepted Answer

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

Question 16

If   evaluate

Accepted Answer

A)  6 
B)  -3 
C)  -26.2 
D)  2483.76 
E)  2898.96 
A)  6 
B)  -3 
C)  -26.2 
D)  2483.76 
E)  2898.96

Question 17

The length of a rectangle is three feet more than four times the width. Expressing the answer as an integer, find the maximum width of the rectangle when the perimeter is less than thirty-eight feet.

Accepted Answer

A)  7 ft 
B)  4 ft 
C)  5 ft 
D)  3 ft 
E)  6 ft 
A)  7 ft 
B)  4 ft 
C)  5 ft 
D)  3 ft 
E)  6 ft

Question 18

Solve   .

Accepted Answer

A)  No solution 
B)  -8 
C)  24 
D)  Both B and C 
E)  25 
A)  No solution 
B)  -8 
C)  24 
D)  Both B and C 
E)  25

Question 19

Graph the solution set for the inequality   .

Accepted Answer

A)    
B)    
C)    
D)    
E)  None of the above 
A)    
B)    
C)    
D)    
E)  None of the above

Question 20

Solve.

Accepted Answer

A)  1 
B)  -15 
C)  -1 
D)  11 
E)  3 
A)  1 
B)  -15 
C)  -1 
D)  11 
E)  3

Solve the following compound inequality. Write the solution in interval notation.

Solve the inequality . Write the solution in set-builder notation.

Solve.

Solve the inequality . Write the solution in interval notation.

Solve .

As part of a training program, a runner wants to build endurance by running at a rate of 10 mph for 48 min. How many miles will the runner travel in that time period?

The sum of twice a number and six is eighteen. Find the number.

Solve.

An herbalist has 20 oz of herbs costing $2.10 per ounce. How many ounces of herbs costing $1 per ounce should be mixed with the 20 oz to produce a mixture costing $1.44 per ounce?

A tea that is 18% jasmine is blended with a tea that is 12% jasmine. How many pounds of the 18% jasmine tea are used to make 10 lb of tea that is 13.8% jasmine?

A motorboat leaves a harbor and travels at an average speed of 12 mph towards a small island. Two hours later, a cabin cruiser leaves the same harbor at an average speed of 24 mph toward the same island. In how many hours after the cabin cruiser leaves the harbor will it be alongside the motorboat?

Solve the inequality . Write the solution in set-builder notation.

Solve .

Solve.

Solve the following compound inequality. Write the solution in interval notation.

If evaluate

The length of a rectangle is three feet more than four times the width. Expressing the answer as an integer, find the maximum width of the rectangle when the perimeter is less than thirty-eight feet.

Solve .

Graph the solution set for the inequality .

Solve.

Real Numbers and Variable Expressions

Geometry

Linear Functions and Inequalities in Two Variables

Systems of Linear Equations and Inequalities

Polynomials

Factoring

Rational Expressions

Exponents and Radicals

Quadratic Equations

Functions and Relations

Exponential and Logarithmic Functions

Filters

Exam 2: First-Degree Equations and Inequalities

Solve the following compound inequality. Write the solution in interval notation.

Solve the inequality . Write the solution in set-builder notation.

Solve.

Solve the inequality . Write the solution in interval notation.

Solve .

As part of a training program, a runner wants to build endurance by running at a rate of 10 mph for 48 min. How many miles will the runner travel in that time period?

The sum of twice a number and six is eighteen. Find the number.

Solve.

An herbalist has 20 oz of herbs costing $2.10 per ounce. How many ounces of herbs costing $1 per ounce should be mixed with the 20 oz to produce a mixture costing $1.44 per ounce?

A tea that is 18% jasmine is blended with a tea that is 12% jasmine. How many pounds of the 18% jasmine tea are used to make 10 lb of tea that is 13.8% jasmine?

A motorboat leaves a harbor and travels at an average speed of 12 mph towards a small island. Two hours later, a cabin cruiser leaves the same harbor at an average speed of 24 mph toward the same island. In how many hours after the cabin cruiser leaves the harbor will it be alongside the motorboat?

Solve the inequality . Write the solution in set-builder notation.

Solve .

Solve.

Solve the following compound inequality. Write the solution in interval notation.

If evaluate

The length of a rectangle is three feet more than four times the width. Expressing the answer as an integer, find the maximum width of the rectangle when the perimeter is less than thirty-eight feet.

Solve .

Graph the solution set for the inequality .

Solve.

Real Numbers and Variable Expressions

Geometry

Linear Functions and Inequalities in Two Variables

Systems of Linear Equations and Inequalities

Polynomials

Factoring

Rational Expressions

Exponents and Radicals

Quadratic Equations

Functions and Relations

Exponential and Logarithmic Functions

Filters