Exam 1: Introduction to Real Numbers and Algebraic Expressions

Substitute to find the value of the expression. -A plane flies at 551 miles per hour. The time, in hours, for the plane to travel a distance of $d$ miles is $\frac{\mathrm{d}}{551}$ . How long will it take for the plane to travel 3857 miles?

Solve the problem. -Rosa averages 19 miles per gallon of gasoline in her car. How far can she travel on 14 gallons of gasoline?

Convert to decimal notation. - $\frac{1}{10,000}$

Evaluate the expression for the given value of x. - $(-2 \mathrm{x})^{2}, \mathrm{x}=5$

Find the prime factorization of the number. -42

Multiply. - $8 \cdot(-6) \cdot(-10) \cdot 10 \cdot(-10)$

Perform the indicated operation and, if possible, simplify. - $\frac{13}{15} \cdot \frac{15}{13}$

Multiply. -100.5 $\frac{\times 0.67}{\text { } }$

Provide an appropriate response. -Choose the expression that is equivalent to the following: $(5 x+3 y)(4 y+8 x)$

Convert to decimal notation. - $-\frac{9}{4}$

Simplify. - $3+4^{2}(13)-(-24)$

Solve the problem. -In a certain location, the highest temperature recorded was $102^{\circ} \mathrm{F}$ . The lowest temperature recorded was 124 degrees less than the highest. What was the lowest temperature?

Add. Do not use a number line except as a check. - $-7+\left(-\frac{1}{10}\right)+\frac{9}{10}$

Simplify. - $11+(-17)+3+(-6)+2+(-9)$

Multiply. - $\left(-\frac{12}{17}\right)\left(\frac{11}{13}\right)$

Perform the indicated operation and, if possible, simplify. - $\frac{11}{12}+\frac{2}{9}$

Add. Do not use a number line except as a check. - $-\frac{1}{8}+\left(-\frac{5}{8}\right)$

Subtract. - $0.23-0.56$

Write an equivalent expression using the indicated name for 1. - $\frac{2}{6}$ (Use $\frac{5}{5}$ for 1 .)

Multiply. - $\left(\frac{7}{17}\right)\left(-\frac{5}{11}\right)\left(\frac{10}{17}\right)$