Name: _______________________________________ Date:______________________

Algebra 1

Chapter 2 Practice Test

6 Steps in Problem Solving:

1. Draw a picture (when applicable)

2. Label variables

3. Write an equation

4. Solve the equation

5. Answer the problem in a complete sentence (use the proper units)

6. Check your answer

Solve the following equations.

1. 2. 3.

4. 5. 6.

Solve each formula for the given variable. State the restrictions, if any, for the formula obtained to be meaningful.

7. V = LWH Solve for H. 8. A = Solve for b. 9. y = 5x + 7b Solve for b.

10. F = ma Solve for m. 11. 2x + 3y = 6 Solve for y. 12. Solve for b.

13. P = 2L + 2W Solve for L 14. 3x + 2y = 10 Solve for y.


Solve the following proportions.

15. 16. 17.

18. 19.

20. The ratio of boys to girls in the math class is 5 to 6. If there are 12 girls in the class, how many boys are there?

21. A car that sold for $15,000 has a sales tax of $900. At this rate, how much is the sales tax for a car that costs $17,500?

22. Joe makes $87 for 6 hours of work at his job. At this rate, how much money does he make for working 8 hours?

23. Convert 10 miles per hour to feet per second. (Hint: There are 5280 feet in one mile)


Solve each percent problem.

24. Find 30% of 95. 25. What percent of 12 is 36?

26. Write as a percent. 27. 4% of what number is 7?

28. 25% of students in ninth grade play a fall sport. If there are 380 students in the freshman class, how many play a fall sport? How many do not play a fall sport?

For each of the following write an equation, solve, and write your answer in a sentence.

29. Water is drained from a storage tank, and the level drops 2 feet. The water level in a storage tank is currently 10 feet. What was the original water level?

30. Earth takes 365 days to orbit the Sun. Mars Takes 687 days. Write and solve an equation to find how many more days d mars takes than Earth to orbit the Sun.

31. The students at a school assembly were divided into 4 equal groups. There were 63 students in each group. Write and solve an equation to determine the number of students that were at the assembly.

32. The perimeter of a square is 64 mm. Write and solve an equation to determine the length of each side of the square.

33. Anna shipped a small package from North Carolina to Virginia for $1.15. Her package weighed 5 ounces. Write and solve an equation to determine the cost per ounce.

34. Angle A is three times the size of angle B. The sum of the angle measures is 128o. Find the value of x.

A B

(Look over any homework or classwork problems from Chapter 2 as well)