SOLUTION: If we simplify the expression 4(z/8)+ z/2 as 4z/a then what is the value of a?
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Question 397439: If we simplify the expression 4(z/8)+ z/2 as 4z/a then what is the value of a?
Answer by JoeCollins(4) (Show Source): You can put this solution on YOUR website!
This question takes a bit of reasoning. When you simplify expressions, you don't actually change the value of them, you just rewrite them in a simplified form. The question claims that is the simplified form of . Since the value of the simplified form is equal to the expanded form we can set the two expressions equal to each other and solve for a:
1.
2.
3. *4/8 reduces to 1/2, times z is z/2
4. *Add the fractions
5. *Reduce
6. *Multiply both sides by a, to get rid of the fraction
7. *Divide both sides by z, to isolate
8. *Since , , or 4.
So a equals 4. If you substitute 4 for a in step 5 and simplify, you will get z=z, which is a true statement. Hope that helps.
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