Q42. - Algebra 1

Question

Determine the equation of the sentence “The square of g is the same as two times the difference of g and 10”.

A. $g^2=2\left(g-10\right)$

B. $\frac{1}{2}g+32=15+6g$

C. $g^3=24g+4$

D. $3g^2=30+9g$

Step-by-Step Solution

Answer

The equation is $g^2=2\left(g-10\right)$. The correct option is (A).

Step 1. Given information.

The given sentence is:

The square of g is the same as two times the difference of g and 10.

Step 2. Break the sentence and write an expression.

The expression for the square of g is $g^2$, and the expression for the difference of g and 10 is $g-10$.

So, the expression for two times of $g-10$ is $2\left(g-10\right)$.

Step 3. Write the equation.

Since, $g^2$ is same as $2\left(g-10\right)$.

Therefore,

$g^2=2\left(g-10\right)$

This is the required equation.