Dugopolski’s 13College Algebra
Chapter 1 Test — Form A Name:_________________________
Find all real or imaginary solutions to each equation.
1. 2.
1. _____________________ 2. _____________________
3. 4.
3. _____________________ 4. _____________________
Solve each inequality in one variable. State the solution set using interval notation and graph
it on the number line.
5. 6.
5. _____________________ 6. _____________________
Sketch the graph of each equation in the -coordinate system.xy
7. 8.
Solve each problem.
9. Find the slope of the line that goes through (2, 5) and ( 1, 2).
9. ______________________
14 Form 1A
10. Find the slope-intercept form of the equation of the line that goes through (3, 1) and is
perpendicular to the line .
10. ______________________
11. Find the exact distance between and
11. _____________________
12. How many liters of water must be added to 0 liters of a 0% alcohol solution to dilute it to
a % solution?
12. _____________________
13. A rectangle has two sides of length 5 inches and a diagonal which is one inch longer than
the length of the other two sides. Find the length of the diagonal.
13. _____________________
14. Solve for .
14. _____________________
15. Find the value of the discriminant for . How many real solutions are
there for this equation?
15. _____________________
Dugopolski’s 15College Algebra
Chapter 1 Test — Form B Name:_________________________
Find all real or imaginary solutions to each equation.
1. 2.
1. _____________________ 2. _____________________
3. 4.
3. _____________________ 4. _____________________
Solve each inequality. State the solution set using interval notation and graph it.
5. 6.
5. _____________________ 6. _____________________
Sketch the graph of each equation.
7. 8.
Solve each problem.
9. Find the slope of the line that goes through (3, 1) and (4, 2).
9. ______________________
16 Form 1B
10. Find the slope-intercept form of the equation of the line that goes through (4, 2) and is
perpendicular to the line .
10. ______________________
11. Find the exact distance between and
. ______________________
12. How much water must be added to 20 quarts of a 12% alcohol solution to dilute it to a 9%
solution?
2. ______________________
13. A rectangle has a length which is one centimeter longer than its width. If each side of the
rectangle is increased by two centimeters, then the area is increased by 10 square
centimeters. What were the original dimensions of the rectangle?
13. _____________________
14. Solve for .
14. _____________________
15. Find the value of the discriminant for . How many real solutions are
there for this equation?
15. _____________________
Dugopolski’s 17College Algebra
Chapter 1 Test — Form C Name:_________________________
Find all real or imaginary solutions to each equation.
1. 2.
1. _____________________ 2. _____________________
3. 4.
3. _____________________ 4. _____________________
Solve each inequality. State the solution set using interval notation and graph it.
5. 6.
5. _____________________ 6. _____________________
Sketch the graph of each equation.
7. 8.
Solve each problem.
9. Find the slope of the line that goes through ( , ) and ( , ).
9. ______________________
18 Form 1C
10. Find the slope-intercept form of the equation of the line that goes through ( , 2) and is
perpendicular to the line .
10. ______________________
11. Find the exact distance between and
11. _____________________
12. How many liters of a 40% acid solution must be mixed with 10 liters of a 10% acid
solution in order to end up with a 20% acid solution?
12. _____________________
13. A pair of jeans costs $63.13 after taxes. If the price tag on the jeans reads $59.00, what is
the tax rate?
13. _____________________
14. Solve for .
14. _____________________
15. Find the value of the discriminant for . How many real solutions are there for
this equation?
15. _____________________
Dugopolski’s 19College Algebra
Chapter 1 Test — Form D Name: ________________________
Find all real and imaginary solutions to each equation.
1. 2.
1. _____________________ 2. _____________________
3. 4.
3. _____________________ 4. _____________________
Solve each inequality. State the solution set using interval notation and graph it.
5. 6.
5. _____________________ 6. _____________________
Sketch the graph of each equation.
7. 8.
Solve each problem.
9. Find the slope of the line that goes through ( , ) and ( , ).
9. ______________________
20 Form 1D
10. Find the slope-intercept form of the equation of the line that goes through ( , ) and is
perpendicular to the line .
10. _____________________
11. Find the exact distance between and
11. _____________________
12. Solve for .
12. _____________________
13. The cost of a cell phone is $232.20 after taxes. What is the cost of the cell phone before
taxes if the tax rate is 8%?
13. _____________________
14. Find the – and -intercepts for the graph of
14. _____________________
15. Isabel can peel five pounds of apples in 12 minutes. John can do the same job in 15
minutes. How long would it take them to peel five pounds of apples if they worked on it
together?
15. _____________________
Dugopolski’s 21College Algebra
Chapter 1 Test — Form E Name: ________________________
Multiple Choice: Choose the best answer for each of the following.
_____ 1. Solve for :
a. b. c. 5 d.
_____ 2. Write the slope-intercept form of the equation of the line through that
is perpendicular to the line .
a. b. c. d.
_____ 3. Solve for :
a. b. 2 c. 8 d. 2 1
_____ 4. The cost of a television set after taxes is $436. What is the cost of the TV
before taxes if the tax rate is 9% ?
a. $427 b. $363.16 c. $400 d. $518.84
_____ 5. On a lonely stretch of highway in West Texas, Jacob sets his truck on cruise
and travels to his work site, a trip which takes 5 hours. At the end of the week,
on the trip home, he travels the same distance, but his cruise control is set at a
speed which is 15 mph faster since he is very anxious to get home. Thus, he
arrives in just 4 hours. What is his speed on the trip home?
a. 75 mph b. 60 mph c. 90 mph d. 70 mph
_____ 6. Solve for :
a. No solution b. c. d.
_____ 7. Solve for :
a. , b. 1, 11 c. d.
22 Form 1E
_____ 8. Solve for :
a. 4 b. c. d. 0, 4
_____ 9. Solve the inequality: and
a. (4, 6] b. (4, ) ( , 6] c. ( , 6] d. ( )
_____ 10. To receive a C in a math course, an average between 70 and 80, inclusive, is
required. Leah has scores of 76, 82, and 87 on her first three math tests. After
the fourth test, she states that she now has a C average. What is the range of
scores possible for her fourth test in order for that statement to be true?
a. [0, 70] b. [70, 80] c. [35, 75] d. [60, 70]
_____ 11. Find the slope of the line passing through the points and .
a. b. c. d.
_____ 12. Find all solutions: .
a. b. c. d.
_____ 13. Solve the inequality:
a. ( , 3) ( , ) b. ( 3, ) c. ( , ) d. ( , 3)
_____ 14. Solve for :
a. { } b. { } c. { , } d. { }
_____ 15. Find all solutions:
a. { 1, 3} b. { 3, 1} c. { 1 } d. { 1 }
Dugopolski’s 23College Algebra
Chapter 1 Test — Form F Name: _________________________
Multiple Choice: Choose the best answer for each of the following.
_____ 1. Solve for :
a. b. c. d.
_____ 2. Write the slope-intercept form of the equation of the line that goes through
and is perpendicular to the line .
a. b. c. d.
_____ 3. Solve for :
a. b. c. d. 2 1
_____ 4. The cost of a television set after taxes is $324. What is the cost of the TV
before taxes if the tax rate is 8% ?
a. $349.92 b. $300.00 c. $298.08 d. $264.00
_____ 5. The Walker family will all be attending a wedding out-of-town. Bettye and
Harold Walker leave a day early and arrive in the town where the wedding
will take place in 3.5 hours. Mary and Janie Walker leave the morning of the
wedding, drive an average of 10 miles per hour faster than their siblings did
the day before, and arrive in 3 hours. How far away was the town from the
Walker residence?
a. 165 miles b. 180 miles c. 60 miles d. 210 miles
_____ 6. Find all solutions:
a. b. c. d.
_____ 7. Solve for :
a. b. c. d. ,
24 Form 1F
_____ 8. Solve for :
a. b. c. d.
_____ 9. Solve the inequality: and
a. ( , b. c. ( d.( ) (
_____ 10. To receive a B in a math course, an average between 80 and 89, inclusive, is
required. Leah has scores of 76, 82, and 98 on her first three math tests. After
the fourth test, she states that she now has a B average. What is the range of
scores possible for her fourth test in order for that statement to be true?
a. [80, 89] b. [64, 100] c. [13.5, 23] d. [75, 95]
_____ 11. Find the slope of the line passing through the points and .
a. b. c. d.
_____ 12. Find all real solutions:
a. b. c. d.
_____ 13. Solve the inequality:
a. b. c. 3 d. , , )
_____ 14. Solve for :
a. { } b. { } c. { , } d. { , }
_____ 15. Find all solutions:
a. b. c. 1 d. 1
Dugopolski’s 113College Algebra
Chapter Test Keys
CHAPTER 1.
114 Chapter 1 Test Key