# Algebra: Simplification and Identification

1.Multiply. Write your answer in lowest terms.

2. Multiply and simplify:

3. Divide. Write your answer in lowest terms.

4. Simplify.

Question #5/19

Simplify as much as possible

.

6. Subtract. Write your answer in lowest terms.

Question #7/19

Express as a single fraction in lowest terms:

Question #8/19

Subtract and simplify:

9. Add and simplify:

Question #10/19

Simplify.

Question #11/19

Reduce the following rational expression to its lowest terms:

12.Solve for u:

Question #13/19

Solve the following equation for u:

Simplify your answer as much as possible.

Question #14/19

Solve for z.

(If there is more than one solution, separate them with commas.)

Question #15/19

Solve for z.

(If there is more than one solution, separate them with commas.)

Question #16/19

Solve the following proportion for v.

Round your answer to the nearest tenth.

17. question #17/19

Solve the following proportion for u:

Question #18/19

A machine produces 192 bolts in 36 minutes. At the same rate, how many minutes would it take to produce 256 bolts?

Question #19/19

There are two machines that produce aluminum cans. The newer machine can produce 5400 cans in 180 minutes. It takes the older machine 270 minutes to produce that many cans. If the two machines work together, how long will it take them to produce 5400 cans?

Please view attachment. Thanks

#### Solution Preview

Please see the attachment.

1.Multiply. Write your answer in lowest terms.

Answer

2. Multiply and simplify:

Answer

3. Divide. Write your answer in lowest terms.

Answer

4. Simplify.

7mn2

———

9p3 q

———

28n3

———

3p4 q2

Answer

Question #5/19

Simplify as much as possible

.

Answer

6. Subtract. Write your answer in lowest terms.

Answer

Question #7/19

Express as a single fraction in lowest terms:

Answer

Question #8/19

Subtract and simplify:

Answer

9. Add and simplify:

Answer

Question #10/19

Simplify.

Answer

Question #11/19

Reduce the following rational expression to ...

#### Solution Summary

The solution provides step by step method for solving and simplifying algebraic and rational expressions.