Try the Free Math Solver or Scroll down to Tutorials!

 Depdendent Variable

 Number of equations to solve: 23456789
 Equ. #1:
 Equ. #2:

 Equ. #3:

 Equ. #4:

 Equ. #5:

 Equ. #6:

 Equ. #7:

 Equ. #8:

 Equ. #9:

 Solve for:

 Dependent Variable

 Number of inequalities to solve: 23456789
 Ineq. #1:
 Ineq. #2:

 Ineq. #3:

 Ineq. #4:

 Ineq. #5:

 Ineq. #6:

 Ineq. #7:

 Ineq. #8:

 Ineq. #9:

 Solve for:

 Please use this form if you would like to have this math solver on your website, free of charge. Name: Email: Your Website: Msg:

# SAMPLE PLACEMENT TEST FOR MATHEMATICS

## Sample Questions for Arithmetic Skills

1. Estimate to the nearest hundred: 31,253−1275

2. Round to the nearest hundredth: 6.4562

3. Find the missing number:

4. Write as a mixed number

5. Combine:

6. Divide:

7. Combine: 1.3 + 1.8 + 2.6 + 7.2 + 0.8

8. Multiply: 0.002× 4.31

9. Divide: 3.186 ÷ 0.03

10. Mr. Carr is installing wall-to-wall carpeting in a room that measuresft. by 9 ft. How much will it
cost Mr. Carr if he purchases carpet priced at \$26.00 per square yard?

11. Write as a percentage: 3/8

12. Find 250% of 36

13. In a given university, 720 of the 960 new students will study algebra during their first year. What
percentage of the new students will study algebra during their first year?

14. An investment pays 8% simple interest per year. If the investment earns \$84 interest in the first year,
then how much money was originally invested?

15. If Mary wants to finish a 16 kilometer race in no more that 2 hours, then what is the minimum
distance in kilometers that she should run every 15 minutes?

## Sample Questions for Elementary Algebra Skills

1. Combine Like terms: 13a −15b − a + 2b

2. Multiply: (2x −1)(4x +1)

3. Solve for x: 5(2x − 3) − (x + 3) = 0

4. Find all the factors of

5. Factor out the greatest common factor:

6. Divide:

7. Simplify:

8. Multiply:

9. Simplify:

10. The average of x, y, and z is 80. If two of the numbers are 74 and 78, then what is the other number?

11. Find all the solutions of 4( x + 3) (3x − 2) = 0

12. Find the value of x in the solution of the following system of equations:

13. In which quadrants (I, II, III, and/or IV) will you find ordered pairs for which x > -3 and y<0?

14. Find the values of x for which − x − 3 >12

15. What are all values of x for which

16. Factor:

17. Solve:

20. If Sam walks 650 meters in x minutes then write an algebraic expression which represents the number of
minutes it will take Sam to walk 1500 meters at the same average rate.

## Sample Questions for College Level Mathematics

1. Simplify each fraction:

2. Combine the following polynomial:

3. Express with positive exponents:

4. Today’s fastest modem computers can perform one operation in 1 x 10-8 second. How many operations
can such a computer perform in 1 minute? Answer in scientific notation.

5. Remove the greatest common factor:

6. Solve for the root(s) of the quadratic equation:

7. Simplify the rational expression:

8. Solve and graph on a number line: 4(2 − x)≤3

9. Solve for h:

10. Factor:

11. Find the slope of the line 4x − 3y − 7 = 0

12. Line p has a slope of What is the slope of a line parallel to line p? What is the slope of a line
perpendicular to line p?

13. Find the equation of a line that passes through (−1, 6) and (2, 3).

14. Find the indicated values for a function: f (x) = 3x − 7

a) f (− 2) b) f (4)

15. To the nearest thousandth, how much error can be tolerated in the length of a wire that is supposed to be
2.57 centimeters long? Specifications allow an error of no more than 0.25%

## Answers for Sample College-Level Mathematics Questions

operations in one minute