applications of single variable equations

label Algebra
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schedule 1 Day
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TWO QUESTIONS :

translate into an algebraic equation:(#1)

1. Two less than the product of five and x is thirteen.

2. Four more than two fifths of a number is 24. Find the number

Aug 13th, 2014

Solutions

Q1: Take the question in parts...let's look at the product first...."product of five and x"...so this in algebraic terms is 5x. Now the question says "two less than the product" so two less than 5x is 5x-2.

The entire question says that Two less than the product of five and x is thirteen. The word "is" here means equals so "Two less than the product of five and x EQUALS thirteen"....Answer: 5x -2 = 13

Q2: This is 2 steps. 

First find the equation using the same method as in question 1: 2x/5 + 4 = 24

Then solve it for x... 2x/5 + 4 = 24 (subtract 4 from both sides)... 2x/5 =20(multiply by 5 on both sides)....2x=100(divide by 2 on both sides)....Answer: x=50

Aug 13th, 2014

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