Q36. - Algebra 1

Question

Evaluate each expression if $\mathit{a}\mathbf{=}\mathbf{-}\mathbf{1}\mathbf{,}\mathit{b}\mathbf{=}\mathbf{4}\mathbf{,}\mathbf{\text{\hspace{0.33em}and }}\mathit{c}\mathbf{=}\mathbf{6}$.

36.  $\mathbf{3}\mathit{a}\mathbf{-}\mathbf{4}{\mathit{a}}^{\mathbf{2}}\mathbf{+}\mathbf{2}\mathit{a}$

Step-by-Step Solution

Answer

The value of the expression is $-5$.

Step 1 – Write the given information

The expression given is 

$3a-4a^2+2a$

And

$a=-1,b=4\text{ and }c=6$

Step 2 - DESCRIPTION OF STEP

To solve the given expression substitute variable a by $-1$, as:

$3a-4a^2+2a=3\left(-1\right)-4{\left(-1\right)}^2+2\left(1\right)$

Simplify the above as:

$\begin{array}{c}3\left(-1\right)-4{\left(-1\right)}^2+2\left(1\right)=-3-4\left(1\right)+2\\ =-1-4\\ =-5\end{array}$

Thus, $3a-4a^2+2a=-5$.