What value of a is a solution to this equation? 8a = 96 Choices: (A)a = 11 (B)a = 12

Identify Operation: Identify the operation needed to solve for a. The equation is 8a = 96, which means 8 times some number a equals 96. To find the value of a, we need to perform the inverse operation of multiplication, which is division.Divide to Isolate a: Divide both sides of the equation by 8 to isolate a. To solve for a, we divide both sides of the equation by 8. This gives us a = 96 / 8.Perform Division: Perform the division to find the value of a. Now we calculate 96 divided by 8, which equals 12. So, a = 12.Check Solution: Check the solution by substituting the value of a back into the original equation. Substitute a = 12 into the original equation: 8a = 96 becomes 8(12) = 96. Calculating the left side, 8 times 12 equals 96, which matches the right side of the equation.

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What value of $a$ is a solution to this equation? $\newline$ $8a = 96$ $\newline$ Choices: $\newline$ (A) $a = 11$ $\newline$ (B) $a = 12$

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Math Problems

Grade 7

Which x satisfies an equation?

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Q. What value of

a

is a solution to this equation?

\newline

8a = 96

\newline

Choices:

\newline

(A)

a = 11

\newline

(B)

a = 12

Identify Operation: Identify the operation needed to solve for $a$ . The equation is $8a = 96$ , which means $8$ times some number $a$ equals $96$ . To find the value of $a$ , we need to perform the inverse operation of multiplication, which is division.
Divide to Isolate $a$ : Divide both sides of the equation by $8$ to isolate $a$ . To solve for $a$ , we divide both sides of the equation by $8$ . This gives us $a = \frac{96}{8}$ .
Perform Division: Perform the division to find the value of $a$ . $\newline$ Now we calculate $96$ divided by $8$ , which equals $12$ . So, $a = 12$ .
Check Solution: Check the solution by substituting the value of $a$ back into the original equation. $\newline$ Substitute $a = 12$ into the original equation: $8a = 96$ becomes $8(12) = 96$ . Calculating the left side, $8 \times 12$ equals $96$ , which matches the right side of the equation.