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# Algebra - Practice Problems

2. Simplify. Type an integer or a fraction
3. Divide if possible. Type N if the answer is undefined.
4. Simplify. -
5. College students took different course loads. Many colleges determine the number of Full-time equivalent students, F, by using the formula F=n/15. Where is the total number of credits in which students enroll for a given semester.
a. If students on a campus register for a total of 22,530 credits, how many full-time equivalent students does the campus have?
b. The campus has _______ full-time students.
c. Solve the formula for n. n=_____

6. Rewrite the division as a multiplication.
(Do not simplify. Type a fraction)
7. Use a commutative law to find an equivalent expression. 79 + rs
8. Solve. 5x+ 9x =84 The solution is x =___________
9. Translate to an algebraic expression. 11 more than d. The translation is ___________
10. Graph the number on the number line. -3/2

-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
11. Subtract the following: -8 - (-3)=_____
12. Multiplication principle. x/6= -10 The solution for x=___________
13. Multiply. 7x(2.3)=_____
14. Multiply. (89)(21)=_____

15. Simplify by removing the parentheses and collecting like terms.
27m - (14m -47)=
27m ÷(14m -47)=
16. Multiply. -6x(-8)x(-9)=
17. Solve using the addition principle. 7.4 =x -1.3 The solution is x=______
18. Solve using the principles together. 6x - 11=43 The solution is x=______
19. What percent of 120 is 42?
20. Translate into an algebraic expression.
Three more than four times a number. The translation is_____
(Type an expression using the using x as the variable.
21. Divide if possible. 88/-22 (Type N if the answer is undefined)
22. Find an equivalent expression without parentheses. - (x-19)=______
23. Solve for i. C=im i = _____
24. Evaluate. r+s/8 for r = 53 and s = 11 r+s/8 = ______
25. A mountain with a base 5,688 ft below sea level rises 23,204 ft. What is the elevation above sea level at its peak? ______ft
26. Use < or > to make the statement true. 11___4.
27. Subtract. 3 - 12.23 =_______
28. Solve using the multiplication principle. 11x + -77 The solution for x is _____
29. Add. Do not use a number line. -1/8 + 5/4=______
30. Describe the situation from the viewpoint of each person.
During a year, a person saves 1200 dollars, and another person spends 500 dollars.
Which real number corresponds to 'saves 1200 dollars?_____
Which real number corresponds to 'spends 500 dollars?______
(Type a negative number with a negative sign or type a positive number with a positive sign.)

31. Determine whether 45 is a solution of the equation.
x/7 = 5 Is 45 a solution? Yes or No
32. Translate to an algebraic expression. 17 divided by n. The translation is_________.
33. Add the following -20 + 20=
34. Find the decimal notation for the fraction 5/6. The decimal notation for the fraction -5/6 is ____
x/7 = 5 Is 45 a solution? Yes or No
35. Solve. Use the addition principle. -28 + n = 43 The solution is n = ______
36. Find - x when x = - 40 The answer is -x =___________
37. Collect all items. 7y - y = ___________
38. Factor 3x + 3y -15=
39. Solve. 4 (3x-2)-28 The solution is x = ______________

[See the attached question file.]

#### Solution Summary

Neat, step-by-step solutions are provided for all the problems.

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