example
Translate and solve: The difference of [latex]n[/latex] and [latex]4.3[/latex] is [latex]2.1[/latex].
Solution
| Translate. |
 |
| Add [latex]4.3[/latex] to both sides of the equation. |
[latex]n-4.3\color{red}{- 4.3}=2.1\color{red}{+ 4.3}[/latex] |
| Simplify. |
[latex]n=6.4[/latex] |
| Check: |
Is the difference of [latex]n[/latex] and [latex]4.3[/latex] equal to [latex]2.1[/latex]? |
| Let [latex]n=6.4[/latex] : |
Is the difference of [latex]6.4[/latex] and [latex]4.3[/latex] equal to [latex]2.1[/latex]? |
| Translate. |
[latex]6.4-4.3\stackrel{?}{=}2.1[/latex] |
| Simplify. |
[latex]2.1=2.1[/latex] |
example
Translate and solve: The product of [latex]-3.1[/latex] and [latex]x[/latex] is [latex]5.27[/latex].
Answer:
Solution
| Translate. |
 |
| Divide both sides by [latex]-3.1[/latex] . |
[latex]\frac{-3.1x}{\color{red}{-3.1}}=\frac{5.27}{\color{red}{-3.1}}[/latex] |
| Simplify. |
[latex]x=-1.7[/latex] |
| Check: |
Is the product of [latex]−3.1[/latex] and [latex]x[/latex] equal to [latex]5.27[/latex] ? |
| Let [latex]x=-1.7[/latex] : |
Is the product of [latex]-3.1[/latex] and [latex]-1.7[/latex] equal to [latex]5.27[/latex] ? |
| Translate. |
[latex]-3.1(-1.7)\stackrel{?}{=}5.27[/latex] |
| Simplify. |
[latex]5.27=5.27[/latex] |
example
Translate and solve: The quotient of [latex]p[/latex] and [latex]-2.4[/latex] is [latex]6.5[/latex].
Answer:
Solution
| Translate. |
 |
| Multiply both sides by [latex]-2.4[/latex] . |
[latex]\color{red}{-2.4}(\frac{p}{-2.4})=\color{red}{-2.4}(6.5)[/latex] |
| Simplify. |
[latex]p=-15.6[/latex] |
| Check: |
Is the quotient of [latex]p[/latex] and [latex]-2.4[/latex] equal to [latex]6.5[/latex] ? |
| Let [latex]p=-15.6:[/latex] |
Is the quotient of [latex]-15.6[/latex] and [latex]-2.4[/latex] equal to [latex]6.5[/latex] ? |
| Translate. |
[latex]\frac{\color{red}{-15.6}}{-2.4}\stackrel{?}{=}6.5[/latex] |
| Simplify. |
[latex]6.5=6.5[/latex] |
example
Translate and solve: The sum of [latex]n[/latex] and [latex]2.9[/latex] is [latex]1.7[/latex].
Answer:
Solution
| Translate. |
 |
| Subtract [latex]2.9[/latex] from each side. |
[latex]n+2.9\color{red}{- 2.9}=1.7\color{red}{- 2.9}[/latex] |
| Simplify. |
[latex]n=-1.2[/latex] |
| Check: |
Is the sum [latex]n[/latex] and [latex]2.9[/latex] equal to [latex]1.7[/latex] ? |
| Let [latex]n=-1.2:[/latex] |
Is the sum [latex]-1.2[/latex] and [latex]2.9[/latex] equal to [latex]1.7[/latex] ? |
| Translate. |
[latex]-1.2+2.9\stackrel{?}{=}1.7[/latex] |
| Simplify. |
[latex]1.7=1.7[/latex] |
