Q54. - Algebra 1

Question

Simplify the expression $\mathbf{5}\mathbf{d}\left(\mathbf{7}-\mathbf{3}\right)-\mathbf{16}\mathbf{d}+\mathbf{3}\cdot \mathbf{2}\mathbf{d}$.

A 10 d                        C 21 d

В 14 d                        D 25 d

Step-by-Step Solution

Answer

The correct choice is Option A: $10d$.

Step 1. State the formula.

Any algebraic expression follows the BODMAS rule, such that Bracket, Of, Division, Multiplication, Addition and Subtraction are solved in order.

Step 2. List the given data.

The given expression is “$5d\left(7-3\right)-16d+3\cdot 2d$”

Step 3. Simplify the expression.

$5d\left(7-3\right)-16d+3\cdot 2d$

 

Solve the bracket first to get,

$\begin{array}{l}5d\left(4\right)-16d+3\cdot 2d\\ 4\cdot 5d-16d+3\cdot 2d\end{array}$

 

Since there is no “Of” or Division, solve the multiplications next to get,

$20d-16d+6d$

 

Solve the addition next to get,

$26d-16d$ 

 

Solve the subtraction next to get,

$10d$ 

So, the simplified expression is $10d$. Hence the correct choice is Option A.