Question

Translate to an algebraic expression : Eight less than the square of the sum of a number and seven.

Translate to an algebraic expression : Eleven more than the cube of a number.

Answer 1

Eight less than the square of the sum of a number and seven:

`(x+7)^2-8`

Eleven more than the cube of a number:

`x^3+11`

Explanation:

First, find keywords...

Eight less than the square of the sum of a number and seven.

less than= subtraction

square= to the power of 2

the sum= the total amount resulting from addition

Now, start making the expression:

the sum of a number(x) and 7: x+7

squared:
`(x+7)^2`

Eight less = -8

so the expression is:
`(x+7)^2-8`

Find keywords in the next problem:

Eleven more than the cube of a number.

more than=addition

cube= to the power of 3

start making the expression:

the cube of a number(x):
`x^3`

eleven more than: +11

so the expression is:
`x^3+11`

Hope this helps!! <3