Translate the following verbal expressions into algebraic expressions: A) The product of 2 less than x and 2…

Question

Translate the following verbal expressions into algebraic expressions: A) The product of 2 less than x and 2 more than x. B) The sum of x and 2 squared. C) One-fifth of x less than half of x square.

ScanSolve AI Tutor · Accepted Answer

Here are the algebraic expressions for each statement:

A) The product of 2 less than $x$ and 2 more than $x$ .

Translate "2 less than $x$ " into an expression.
$x - 2$
Translate "2 more than $x$ " into an expression.
$x + 2$
Find the product of these two expressions.
$\boxed{(x - 2)(x + 2)}$
B) The sum of $x$ and 2 squared.
Identify the terms to be summed.
The terms are $x$ and $2^2$ .
Write the sum of these terms.
$\boxed{x + 2^2}$
C) One-fifth of $x$ less than half of $x$ square.
Translate "one-fifth of $x$ " into an expression.
$\frac{1}{5}x$
Translate "half of $x$ square" into an expression.
$\frac{1}{2}x^2$
Express "one-fifth of $x$ less than half of $x$ square".
"A less than B" means $B - A$ .
$\boxed{\frac{1}{2}x^2 - \frac{1}{5}x}$

Translate the following verbal expressions into algebraic expressions: A) The product of 2 less than x and 2 more than x. B) The sum of x and 2 squared. C) One-fifth of x less than half of x square.

Step-by-step solution

Translate "2 less than $x$ " into an expression.

Translate "2 more than $x$ " into an expression.

Find the product of these two expressions.

Identify the terms to be summed.

Write the sum of these terms.

Translate "one-fifth of $x$ " into an expression.

Translate "half of $x$ square" into an expression.

Express "one-fifth of $x$ less than half of $x$ square".

Still stuck on this one?

More Mathematics Questions

Translate the following verbal expressions into algebraic expressions: A) The product of 2 less than x and 2 more than x. B) The sum of x and 2 squared. C) One-fifth of x less than half of x square.

Step-by-step solution

Translate "2 less than xxx" into an expression.

Translate "2 more than xxx" into an expression.

Find the product of these two expressions.

Identify the terms to be summed.

Write the sum of these terms.

Translate "one-fifth of xxx" into an expression.

Translate "half of xxx square" into an expression.

Express "one-fifth of xxx less than half of xxx square".

Still stuck on this one?

More Mathematics Questions

Translate "2 less than $x$ " into an expression.

Translate "2 more than $x$ " into an expression.

Translate "one-fifth of $x$ " into an expression.

Translate "half of $x$ square" into an expression.

Express "one-fifth of $x$ less than half of $x$ square".