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Chapter 0: Problem 100

Write each algebraic expression without parentheses. $$-(5 x-13 y-1)$$

Short Answer

Expert verified
The expression without parentheses is -5x + 13y + 1.

Step by step solution

01

Distribute the Negative Sign

Begin by distributing the negative sign to each term inside the parentheses. This means flipping the sign of each term within the parentheses. This can be visualized as multiplying each term by -1, though this is an abstract understanding, since multiplying by -1 flips the sign of a given number.
02

Execute the Distribution

Following the rule from step 1, the expression becomes -5x + 13y + 1. Notice each term is now the opposite sign of its equivalent within the parentheses.

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Most popular questions from this chapter

Evaluate each algebraic expression for the given value or values of the variable(s). $$7+5 x, \text { for } x=10$$

Your computer store is having an incredible sale. The price on one model is reduced by \(40 \% .\) Then the sale price is reduced by another \(40 \% .\) If \(x\) is the computer's original price, the sale price can be modeled by $$(x-0.4 x)-0.4(x-0.4 x)$$ a. Factor out \((x-0.4 x)\) from each term. Then simplify the resulting expression. b. Use the simplified expression from part (a) to answer these questions. With a \(40 \%\) reduction followed by a \(40 \%\) reduction, is the computer selling at \(20 \%\) of its original price? If not, at what percentage of the original price is it selling?

Evaluate each algebraic expression for the given value or values of the variable(s). $$x^{2}+5 x, \text { for } x=6$$

Evaluate each algebraic expression for the given value or values of the variable(s). $$6 x-y, for\quad x=3\quad and\quad y=8$$

$$\frac{5}{4} \cdot \frac{8}{15}$$
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