Question

In the following exercises, simplify each expression.

$$\begin{gathered} \left(\text{a}\right)15-7 \\ \left(\text{b}\right)-15-\left(-7\right) \\ \left(\text{c}\right)-15-7 \\ \left(\text{d}\right)15-\left(-7\right) \end{gathered}$$

Short answer

The simplest form of given expressions are

$$\begin{gathered} \left(\text{a}\right)8 \\ \left(\text{b}\right)-8 \\ \left(\text{c}\right)-22 \\ \left(\text{d}\right)22 \end{gathered}$$

Step-by-step solution

Step 1. Given information

The expressions are

$$\begin{gathered} \left(\text{a}\right)15-7 \\ \left(\text{b}\right)-15-\left(-7\right) \\ \left(\text{c}\right)-15-7 \\ \left(\text{d}\right)15-\left(-7\right) \end{gathered}$$

Part a.Step 1.Simplify

$\left(\text{a}\right)15-7=8\text{Performsubtraction}$

Part b. Step 1.Simplify

$$\begin{gathered} \left(\text{b}\right)-15-\left(-7\right)=-15+7\text{Use-}\left(-a\right)=a \\ =-8\text{Performsubtraction} \end{gathered}$$

Part c. Step 1. Simplify

$\left(\text{c}\right)-15-7=-22\text{Performaddition}$

Part d. Step 1. Simplify

$$\begin{gathered} \left(\text{d}\right)15-\left(-7\right)=15+7\text{use}-\left(-a\right)=a \\ =22\text{Performaddition} \end{gathered}$$