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# Algebra/Algebra

Question
Simplify:

1.) 1/4[z+4]

2.) 7p·1/7+ -p

3.) 6m - 4n + -7m - -5n

4.) -3 · -u · -7v + 8v - 6uv

Just multiply the terms together.  This gives

1) For (1/4)(z+4), multiply each term by 1/4 and get z/4 + 4/4, which reduces to z/4 + 1

2) For 7p*(1/7) + -p, multiply 7(1/7) and get 1, giving p + -p, and that is 0.

3) Since plus a minus is a minus  and  minus a minus is a plus,
6m - 4n + -7m - -5n turns into 6m - 4n - 7m + 5n.
Grouping like terms together gives us 6m - 7m - 4n + 5n, which is -m + n.

4) The product of two negatives is a positive, so that is the same as -3 * u * 7v + 8u - 6uv.
Since -3 * 7 = -21, and u * v = uv, that is -21uv + 8u - 6uv.

Looking for like terms, the first and the last are both uv, so we have -27uv + 8u.

Algebra

Volunteer

#### Scott A Wilson

##### Expertise

Any algebraic question you've got. That includes question that are linear, quadratic, exponential, etc.

##### Experience

I have solved story problems, linear equations, parabolic equations. I have also solved some 3rd order equations and equations with multiple variables.

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Documents at Boeing in assistance on the manufacturiing floor.

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MS at math OSU in mathematics at OSU, 1986. BS at OSU in mathematical sciences (math, statistics, computer science), 1984.

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Both my BS and MS degrees were given with honors.

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Students in a wide variety of areas since the 80's; over 1,000 of them have been in algebra.