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Exercises Expressions, exponents and radicals

Example 7.30 from Prealgebra, 7.3 Distributive Property

Distributive Property: example 7.30

When $y = 10$ evaluate: ⓐ $6 (5 y + 1)$ ⓑ $6 \cdot 5 y + 6 \cdot 1 .$

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

ⓐ

$6 (5 y + 1)$

Simplify in the parentheses. $6 (51)$

Multiply. $306$

ⓑ

Simplify.

Add.

Notice, the answers are the same. When $y = 10,$

$6 (5 y + 1) = 6 \cdot 5 y + 6 \cdot 1 .$

Try it yourself for a different value of $y .$

Your turn

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

Evaluate when $w = 3 :$ ⓐ $5 (5 w + 9)$ ⓑ $5 \cdot 5 w + 5 \cdot 9 .$

How did it go?

PreviousDistributive Property: example 7.29 Next Distributive Property: example 7.31

From Prealgebra (1st edition) by OpenStax (Rice University), section 7.3, 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.