1.4 Multiply and divide integers  (Page 3/4)

Solution

Substitute $4\text{for}x.$ Use parentheses to show multiplication.

Substitute.
Evaluate exponents.
Multiply.
Add.	52

Solution

$\begin{array}{cccc}& & & \hfill \text{the}\mathbf{\text{sum}}\text{of}8\text{and}\mathrm{-12},\text{increased by}3\hfill \\ \text{Translate.}\hfill & & & \hfill \left[8+\left(\mathrm{-12}\right)\right]+3\hfill \\ \begin{array}{c}\text{Simplify. Be careful not to confuse the}\hfill \\ \text{brackets with an absolute value sign.}\hfill \end{array}\hfill & & & \hfill \left(\mathrm{-4}\right)+3\hfill \\ \text{Add.}\hfill & & & \hfill \mathrm{-1}\hfill \end{array}$

Solution

1. ⓐ
   $\begin{array}{cccc}& & & \hfill \text{the}\mathbf{\text{difference}}\mathit{\text{of}}13\mathit{\text{and}}-21\hfill \\ \text{Translate.}\hfill & & & \hfill 13-\left(\mathrm{-21}\right)\hfill \\ \text{Simplify.}\hfill & & & \hfill 34\hfill \end{array}$
   
   
2. ⓑ
   $\begin{array}{cccc}& & & \hfill \mathbf{\text{subtract}}24\mathbf{\text{from}}-19\hfill \\ \begin{array}{c}\text{Translate.}\hfill \\ \text{Remember, “subtract}b\text{from}a\text{means}a-b.\hfill \end{array}\hfill & & & \hfill -19-24\hfill \\ \text{Simplify.}\hfill & & & \hfill \mathrm{-43}\hfill \end{array}$

Solution

$\begin{array}{cccccc}& & & & & \hfill \text{the product}\mathit{\text{of}}\mathrm{-2}\mathit{\text{and}}14\hfill \\ \text{Translate.}\hfill & & & & & \hfill \left(\mathrm{-2}\right)\left(14\right)\hfill \\ \text{Simplify.}\hfill & & & & & \hfill \mathrm{-28}\hfill \end{array}$

Solution

$\begin{array}{cccccc}& & & & & \hfill \text{the quotient}\mathit{\text{of}}\mathrm{-56}\mathit{\text{and}}\mathrm{-7}\hfill \\ \text{Translate.}\hfill & & & & & \hfill \mathrm{-56}÷\left(\mathrm{-7}\right)\hfill \\ \text{Simplify.}\hfill & & & & & \hfill 8\hfill \end{array}$

Solution