Q12. - Algebra 1

Question

Evaluate the expression $|3t-2u|+5v$ if $t=2,u=-5$ and $v=-3$.

Step-by-Step Solution

Answer

The value of the given expression is $1.$

Step 1. Given Information.

We have the expression $|3t-2u|+5v$.

To find the value of the given expression when $t=2,u=-5\mathrm{and} v=-3$.

Step 2. Apply the concept.

We substitute the given value of $t,u,v$ in the given expression and find the value of the expression $|3t-2u|+5v$.

Step 3. Calculation.

Solving the given expression:

$\begin{array}{l}|3t-2u|+5v=|3\left(2\right)-2\left(-5\right)|+5\left(-3\right)\\ =|6+10|-15\\ =\left|16\right|-15\\ =1\\ \Rightarrow |3t-2u|+5v=1\end{array}$

Hence, the value of the given expression is $1.$