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Exercises Numbers, fractions and percents

Example 3.67 from Prealgebra, 3.5 Solve Equations Using Integers; The Division Property of Equality

Solve Equations Using Integers; The Division Property of Equality: example 3.67

Translate and solve: the difference of $n$ and $6$ is $−10 .$

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Solution

the difference of $n$ and $6$ is $−10$

Translate. $n - 6 = −10$

Add $6$ to each side. $n - 6 + 6 = −10 + 6$

Simplify. $n = −4$

Check the answer by substituting it into the original equation.

$\begin{matrix} n - 6 = −10 \\ −4 - 6 \overset{?}{=} −10 \\ −10 = −10 ✓ \end{matrix}$

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Translate and solve:

The difference of $p$ and $2$ is $−4$ .

How did it go?

PreviousSolve Equations Using Integers; The Division Property of Equality: example 3.66 Next Solve Equations Using Integers; The Division Property of Equality: example 3.68

From Prealgebra (1st edition) by OpenStax (Rice University), section 3.5, licensed under CC BY 4.0. Original at openstax.org. We split the solution into steps; the words, numbers and figures are the book's. OpenStax doesn't endorse this site.