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  Basic Algebra
Review Problems from Appendices A - G

Algebra Review Problems

The following are algebra problems for review for this course:

A- Exponents

1 Simplify 

2 Simplify 

3 Simplify and leave without radicals. 

4 Simplify and leave without Radicals. 

5 Simplify and leave without Radicals. 

6 If possible evaluate and check answer with a calculator 

Answers


B- Multiplying Algebraic Expressions

7 Expand the following: 

8 Expand the following 

9 Multiply and write without ( ). Gather like terms: 

Answers



C- Factoring Algebraic Expressions

10 Factor completely if possible 

11 Factor completely if possible 

12 Factor completely if possible 

13 Factor completely if possible 

Answers



D- Working With Fractions

14 Express answers in reduced form 

15 Express answers in reduced form 

16 Express answers in reduced form 

17 Rewrite in the form 

18 Rewrite in the form 

19 Rewrite in the form 

Answers


E - Changing the Form of Expressions

Complete the Square (conversion from  to 
To complete the square in the expression , divide the coefficient of x by 2, giving . Then add and subtract and factor the perfect square:

To complete the square in the expression , factor out a first.

Taken from Appendix E of the Textbook

20 Rewrite  in the form  (i.e. Complete the Square)

21 Rewrite  in the form  (i.e. Complete the Square)

22 Rewrite  in the form  (i.e. Complete the Square)

23 Rewrite  in the form  (i.e. Complete the Square)

24 Rewrite  in the form  (i.e. Complete the Square)

Answers



F - Solving Equations

25 Solve each for the specified variable , for F.

26 Solve each for the specified variable , for t

27 Solve each for the specified variable , for x.

28 Solve the equation 

29 Solve the equation 

30 Solve the equation 

31 Solve for the indicated variable  Solve for k (to six decimal places)

32 Solve for the indicated variable  Solve for z

Answers


G - Systems of Equations

Solve the systems of equations for x and y

33 

34 

35 

36 Find the points of intersection for 

Answers

 

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