/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Free solutions & answers for Algebra for College Students Chapter 1 - (Page 1) [step by step] | 91Ó°ÊÓ

91Ó°ÊÓ

Problem 1

Complete each statement. The following key terms may be used once, more than once, or not at all. $$\begin{array}{cc}\text{linear equation}&\text{solution}&\text{algebraic expression}&\text{contradiction}& \text{all real numbers}\\\ \text{solution set}&\text{identity}&\text{conditional equation}&\text{first-degree equation }&\text{empty set}\varnothing \end{array}$$ A collection of numbers, variables, operation symbols, and grouping symbols, such as \(2(8 x-15),\) is a \((n)\) __________. While an equation (does/does not) include an equality symbol, there (is / is not) an equality symbol in an algebraic expression.

Problem 2

The distance between Cape Town, South Africa, and Miami is \(7700 \mathrm{mi}\). If a jet averages 550 mph between the two cities, what is its travel time in hours?

Problem 3

Work each problem to review converting between decimals and percents. Write each decimal as a percent. (a) 0.35 (b) 0.18 (c) 0.02 (d) 0.075 (e) 1.5

Problem 4

Work each problem to review converting between decimals and percents. Write each percent as a decimal. (a) \(60 \%\) (b) \(37 \%\) (c) \(8 \%\) (d) \(3.5 \%\) (e) \(210 \%\)

Problem 4

Complete each statement. The following key terms may be used once, more than once, or not at all. $$\begin{array}{cc}\text{linear equation}&\text{solution}&\text{algebraic expression}&\text{contradiction}& \text{all real numbers}\\\ \text{solution set}&\text{identity}&\text{conditional equation}&\text{first-degree equation }&\text{empty set}\varnothing \end{array}$$ A linear equation with one solution in its ____________, such as \(2 x+5=9,\) is \(\mathrm{a}(\mathrm{n})\) ___________.

Problem 5

An equilateral triangle has perimeter 27 in. What would be the area of a square whose sides each measure the same length as the side of the equilateral triangle?

Problem 6

A circle has area \(25 \pi \mathrm{ft}^{2}\). What would be the perimeter of a square whose sides each measure the same length as the radius of the circle?

Problem 7

Translate each verbal phrase into \(a\) mathematical expression using \(x\) as the variable. $$ \text { Twice a number, decreased by } 13 $$

Problem 9

Translate each verbal phrase into \(a\) mathematical expression using \(x\) as the variable. $$ 12 \text { increased by four times a number } $$

Problem 11

Translate each verbal phrase into \(a\) mathematical expression using \(x\) as the variable. The product of 8 and 16 less than a number.

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