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.

Test your skills in translating algebraic expressions with this set of flashcards. Become familiar with algebraic terminology and learn to express mathematical phrases in algebraic form. Perfect for algebra students looking to strengthen their understanding of expressions.