Question

Help! What si the verbal expression for this algebraic expression: 2x - 4 < 4x +8

A: The quotient of two and a number minus four is less than eight more than the product of four and the same number

B: The difference of two times a number and four is less than the product of four and the same number decreased by eight

C: four less than the product of two and a number is less than the product of four and the same number increased by eight.


D: four more than the product of two and a number is less than the sun of eight and four times the same number

Answer 1

C

Explanation:

four less = -4

than the product of two and a number = 2·x = 2x

is less than = <

the product of four and the same number = 4·x = 4x

increased by eight. = +8

Answer 2

C. Four less than the product of two and a number is less than the product of four and the same number increased by eight.

General Formulas and Concepts:

Pre-Algebra

• Converting expressions to word form

Explanation:

Step 1: Define

2x - 4 < 4x + 8

Step 2: Translate

"2x" is the product of two and a number x

" - 4" is four less

"<" is less than

"4x" is the product of four and a number x

" + 8" is increased by 8

Step 3: Combine

The difference between the product of two and a number x and 4 is less than the sum of the product of four and a number x and 8.

Step 4: Reword

Four less than the product of two and a number is less than the product of four and the same number increased by eight.