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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

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