If (4a)/(b)=12, which of the following expressions is equivalent to a ? Choose 1 answer: (A) (48 )/(b) (B) 3b (C) 12 b (D) 48 b

Isolate a in the equation: We are given the equation (4a)/(b) = 12. To find an expression equivalent to a, we need to isolate a on one side of the equation. We can do this by multiplying both sides of the equation by b to cancel out the denominator on the left side. So, (4a)/(b) * b = 12 * b This simplifies to 4a = 12bSolve for a: Now, to solve for a, we divide both sides of the equation by 4. 4a / 4 = 12b / 4 This simplifies to a = 3bCompare with given options: We compare our result with the given options. The expression equivalent to a is 3b, which matches option (B).

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If
(4a)/(b)=12, which of the following expressions is equivalent to
a ?
Choose 1 answer:
(A)
(48 )/(b)
(B)
3b
(C)
12 b
(D)
48 b

If $\frac{4 a}{b}=12$ , which of the following expressions is equivalent to $a$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $\frac{48}{b}$ $\newline$ (B) $3 b$ $\newline$ (C) $12 b$ $\newline$ (D) $48 b$

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Math Problems

Algebra 1

Identify equivalent linear expressions

Full solution

Q. If

\frac{4 a}{b}=12

, which of the following expressions is equivalent to

a

\newline

Choose

1

answer:

\newline

(A)

\frac{48}{b}

\newline

(B)

3 b

\newline

(C)

12 b

\newline

(D)

48 b

Isolate $a$ in the equation: We are given the equation $\frac{4a}{b} = 12$ . To find an expression equivalent to $a$ , we need to isolate $a$ on one side of the equation. $\newline$ We can do this by multiplying both sides of the equation by $b$ to cancel out the denominator on the left side. $\newline$ So, $\frac{4a}{b} \cdot b = 12 \cdot b$ $\newline$ This simplifies to $4a = 12b$
Solve for a: Now, to solve for $a$ , we divide both sides of the equation by $4$ . $\frac{4a}{4} = \frac{12b}{4}$ This simplifies to $a = 3b$
Compare with given options: We compare our result with the given options. $\newline$ The expression equivalent to $a$ is $3b$ , which matches option $(B)$ .