Algebra Class - Translating Expressions

What is the expression for the quotient of 18 and a number?

What is the expression for five more than twice a number?

What is the expression for eleven less than three times a number?

What is the expression for three times a number, increased by seventeen?

What is the expression for the product of nine and a number decreased by six?

What is the expression for three times the difference of a number and seven?

What is the expression for nine less than the product of a number and four?

What is the expression for seven more than the quotient of ten and a number?

What is the expression for ten thousand times the sum of a number and seven hundred?

What is the expression for the product of a number and three plus seven?

What is the expression for five less than twice a number?

What is the expression for seven divided by the sum of a number and two?

What is the expression for three-fourths of a number decreased by eight?

What is the expression for the difference between a number and seven?

What is the expression for the product of a number and three?

Algebraic Expressions Overview

Algebraic expressions translate verbal phrases into mathematical expressions.
Understanding these translations is crucial for solving algebraic problems.

Quotient Expressions

"The quotient of 18 and a number" → ( \frac{18}{x} )
"Seven divided by the sum of a number and two" → ( \frac{7}{x + 2} )
"Seven more than the quotient of ten and a number" → ( 7 + \frac{10}{n} )

Addition and Subtraction in Expressions

"Five more than twice a number" → ( 2x + 5 )
"Eleven less than three times a number" → ( 3x - 11 )
"Nine less than the product of a number and four" → ( 4x - 9 )
"Five less than twice a number" → ( 2x - 5 )
"The difference between a number and seven" → ( x - 7 )

Multiplication and Products

"Three times a number, increased by seventeen" → ( 3x + 17 )
"The product of nine and a number decreased by six" → ( 9x - 6 )
"Three times the difference of a number and seven" → ( 3(x - 7) )
"The product of a number and three plus seven" → ( 3x + 7 )
"The product of a number and three" → ( 3x )

Advanced Expressions

"Ten thousand times the sum of a number and seven hundred" → ( 10000(x + 700) )
"Three-fourths of a number decreased by eight" → ( \frac{3}{4}x - 8 )

Summary

Mastering these translations allows for effective manipulation and solution of algebraic expressions, forming a foundation for advanced math concepts.

Please use this form to submit feedback or report bugs. You can find answers to most questions in our Help Center.

Algebra Class - Translating Expressions

Choose a study mode

Podcast

Questions and Answers