write an algebraic equation to present each english sentence.

label Mathematics
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Let X represent to the unknown number. then solve the equation.

1) The quotient of a number and 12 is one-third.

2) The product of a number and seven is the same as negative sixty-three.

3) The sum of negative eight and a number is forty-two.

Jan 30th, 2015

1.  x/12 = 1/3 (quotient means to divide)

Multiply both sides by 12

12 * x/12 = 1/3 * 12

x = 4

2. 7x = -63 (product means to multiply)

Divide both sides by 7

7x/7 = -63/7

x = -9 (since -9 * 7 = -63)

3.  -8 + x = 42

Add eight to both sides

-8 + 8 + x = 42 + 8

x = 50

Best me if you think I explained it better.  Let me know if you have any other questions regarding these types of algebraic equations. I can take you step by step through the problem solving process.  I have a Bachelor's degree in Mathematics from Penn State.  I'll be glad to help you with anything you need.




Jan 30th, 2015

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