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Chapter 1: Problem 30

Use a form of the distributive property to rewrite each algebraic expression without parentheses. $$9(2 x+5)$$

Short Answer

Expert verified
The simplified form of the algebraic expression is \(18x + 45\).

Step by step solution

01

Identify the Terms

The given expression is \(9(2x+5)\). Here, a is 9, b is \(2x\), and c is 5.
02

Apply the Distributive Property

Apply the distributive property a(b + c) = ab + ac. This gives us \(9*2x + 9*5\).
03

Perform the Multiplication

Perform the multiplication operations, which gives us \(18x + 45\) as the simplified algebraic expression without parentheses.

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Most popular questions from this chapter

Write each English phrase as an algebraic expression. Then simplify the expression. Let x represent the number. The difference between 9 times a number and \(-4\) times the number.

Simplify each series of additions and subtractions. $$-0.16-5.2-(-0.87)$$

Perform the indicated subtraction. $$-\frac{4}{5}-\frac{1}{5}$$

Perform the indicated subtraction. $$0-(-15)$$

Find the value of each expression. $$|-9-(-3+7)|-|-17-(-2)|$$
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