Coordinate Algebra Final Exam Review
Name: ______Date: ______
Unit 1 Review
Directions: Be sure to show ALL of your work for each problem. Please circle your final answers. Round all answers to 2 decimal places when necessary.
1.Convert 150 ounces to milliliters.
a. 4411.8 mLb. 5.1 mL
c. 0.0002 mLd. 510 mL
2. Convert 9500 feet to miles.
a. 0.56 milesb. 5.40 miles
c. 3.62 milesd. 1.80 miles
3. Convert 3.7 kilometers to meters.
a. 370 metersb. 37 metersc. 37,000 metersd. 3700 meters
4. Convert 22.6 grams to milligrams.
a. 22600 milligramsb. 226 milligramsc. 2260 milligramsd. none of these
5. Convert 67 miles per hour to meters per second.
a. 0.03 m/secb. 29.8 m/secc. 98.3 m/secd. 31.1 m/sec
6. Convert 987 inches per minute to kilometers per hour.
a. 1.49 km/hrb. 0.93 km/hrc. 1579.2 km/hrd. 122.3 km/hr
7. How long does a car traveling at 75 mph take to travel 100 miles, in hours?
a. 1.5 hrsb. 1.3 hrsc. 1 hrd. 0.75 hrs
8. A bird chirps 10 times a minute. At this rate, about how many times would it chirp in a day?
a. 144 timesb. 1440 timesc. 14400 timesd. 144,000 times
For each of the following literal equations, solve for the indicated variable.
9. (x)10. (x)
a. b. a. b.
c. d. c. d.
11. (n)12. (b)
a. b. a. b.
c. d. c. d.
13. (y)14. (R)
a. b. a. b.
c. d. c. d. None of these
15. (y)16. (L)
a. b. a. b.
c. d. c. d.
Unit 2 Review
Directions: Be sure to show ALL of your work for each problem. Please circle your final answers. Round all answers to 2 decimal places when necessary.
17. Which shows a correct justification for solving ?
a. Givenb. Given
Subtraction Property Addition Property
Division Property Multiplication Property
c. Givend. Given
Addition Property Addition Property
Multiplication Property Division Property
18. When you multiply both sides of an equation by the same non-zero number then the solution set remains the same. Use this idea to clear the fractions in solving . Which statement follows this one?
a. b. c. d.
19. If the solution set for is a line, which of the following has a solution set that is the same line?
a. b. c. d.
20. Which is a solution set to the system and ?
a. b. c. d.
21. Trey graphed two lines to solve a system of linear equations. Which CANNOT happen?
a. The lines are the same line.b. The lines intersect at exactly one point.
c. The lines intersect at exactly two points. d. The lines do not intersect.
22. Solve the system by graphing.23. Solve the system by graphing.
24. Solve by substitution.25. Solve by substitution.
a. b. a. b.
c. d. c. d.
26. Solve by elimination.27. Solve by elimination.
a. b. a. b.
c. d. c. d.
28. You are comparing 2 taxi companies. Yellow Cab Co. charges $3 plus $0.20 per mile. Cabs-R-Us charges $5 plus $0.10 per mile. If “y” is the cost in dollars and “x” is the number of miles driven then you can write a system of equations to model this situation. The system of equations is and . At how many miles will the two companies charge the same amount?
a. 10 milesb. 20 miles
c. 50 milesd. They will never charge the same amount
Use the following word problem to answer questions 29-31.
“I have some dimes and quarters. If I have 18 coins worth $3.60, how many dimes do I have? How many quarters?”
29. What system of equations would help to solve this problem?
a. b.
c. d.
30. What is the solution to the system of equations?
a. b. c. d.
31. What does the solution mean in terms of the number of dimes and quarters?
a. There are 12 dimes and 6 quarters
b. There are 9 dimes and 9 quarters
c. There are 6 dimes and 12 quarters
d. There are 10 dimes and 8 quarters
Solve each inequality and graph its solution.
Sketch the graph of each linear inequality.
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