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.