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# Algebra: Simplification and Identification

2. Multiply and simplify:

4. Simplify.

Question #5/19
Simplify as much as possible
.

Question #7/19
Express as a single fraction in lowest terms:

Question #8/19
Subtract 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:

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.

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?

#### Solution Preview

2. Multiply and simplify:

4. Simplify.

7mn2
———
9p3 q
———
28n3
———
3p4 q2

Question #5/19
Simplify as much as possible
.

Question #7/19
Express as a single fraction in lowest terms:

Question #8/19
Subtract and simplify:

Question #10/19
Simplify.