# Algebra - Practice Problems

See the attached file.

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 regarding simplifying an integer or fraction.