 # How to Write an Algebraic Expression

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Examples, solutions, videos, worksheets, games, and activities to help Algebra 1 or grade 7 students learn how to write word problems as algebraic expressions.

How to translate words into algebraic expressions?
Examples:
The sum of a number and six.
The difference of a number and two.
The product of a number and five.
The quotient of a number and four.
The ratio of a number and four.
Seven less than a number.
Nine decreased by a number.
Twice a number.
Three times a number subtracted from ten.
Five added to the product of nine and a number.
Six less than the quotient of number and four.
How to write algebraic expressions when one quantity is more or less than another?
Examples:
1. Juan is 6 inches taller than Niko. If we let N represent Niko's height in inches, write an algebraic expression for Juan's height.
2. Linda and Joan went shopping. Linda spent \$25 less than Joan. If we let J represent how much Joan spent, write an algebraic expression for how much Linda spent.

How to write algebraic expressions?
Examples:
1. Rita's score is 13 more than 4 times Milan's score. If we let s represent Milan's score, write an algebraic expression for Rita's score.
2. Ted's debt is 15 less than half of Mike's debt. If we let x represent Mike's debt, write an algebraic expression for Ted's debt.
How to write an algebraic expression for the distance traveled by two people with the total distance known?
Example:
Ron and Monique were driving to a business meeting 85 miles from their office. Ron drove the first x miles, then Monique drove the rest of the way. Write an algebraic expression for how many miles Monique drove.

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