Question

In the following exercises, translate to an algebraic expression and simplify if possible.

The sum of $-4$and $-9,$increases by $23.$

Short answer

The algebraic expression is$\left(-4\right)+\left(-9\right)+23.$

The simplified value is$10.$

Step-by-step solution

Step 1. Given information

The given phrase is " the sum of $-4$and $-9$, increased by$23.$

Step 2. Translate to an algebraic expression

The sum of$-4$and $-9$is$\left(-4\right)+\left(-9\right)$

increased by $23$means,

add $23$to the above expression.

Hence,

The algebraic expression is

$\left(-4\right)+\left(-9\right)+23$

Step 3. Simplify

$$\begin{gathered} \left(-4\right)+\left(-9\right)+23=-4-9+23 \\ =-13+23 \\ =10 \end{gathered}$$

The algebraic expression is simplified to$10.$