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Algebra Problems With 2 Variables

February 15th, 2010 admin Leave a comment Go to comments


Algebra 1 subsititution of variables problem?

I have done this problem over and over gain, and come up with the same answer, but do not know if it is correct, or I have overlooked a sign of some sort. Please solve and then state the answer.

a” + ab* – | – ab | + | b* – a*| if 2a + 6 = 10 and b = -3

” stands for 3, or raised to the third

* stands for 2, or raised to the second power

Using “^” to show an exponent is a little clearer, so that’s what I’ll use. * will mean times.

First you have to solve 2a + 6 = 10 for a.

2a + 6 = 10
2a + 6 – 6 = 10 – 6 (subtract 6 from each side)
2a = 4
a = 2 (divide each side by 2)

a^3 + ab^2 – |-ab| + |b^2 – a^2|

2^3 + 2 * -3^2 – | -2 * -3| + |-3^2 – 2^2|

2 * 2 * 2 + 2 * ( -3 * -3 ) – |6| + | (-3 * -3) – ( 2 * 2)

8 + 2 * 9 – 6 + | 9 – 4|

8 + 18 – 6 + 5

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