Chapter 1

Compare using \(<,>\) or \(=\) $$ 2.6 ? 2.65 $$

Evaluate the expression. Then simplify the answer. $$ \frac{6 \cdot 4}{4+3^{2}-1} $$

Use a calculator to evaluate the power. $$ 5^{9} $$

SOLVING WITH MENTAL MATH Use mental math to solve the equation. $$ p-13=20 $$

Find the distance traveled using \(d=r t\). A horse trots at 8 kilometers per hour for 30 minutes.

Write the improper fraction as a mixed number. $$ \frac{13}{6} $$

Write the inequality for the sentence: The quotient of 72 and a number \(x\) is greater than $7 .

Compare using \(<,>\) or \(=\) $$ 0.01 ? 0.0001 $$

Evaluate the expression. Then simplify the answer. $$ \frac{13-4}{18-4^{2}+1} $$

Use a calculator to evaluate the power. $$ 12^{7} $$

You want to go to an amusement park. The distance between your house and the amusement park is 110 miles. Your rate of travel is 55 miles per hour. Use the formula \(d=r t\) to write an equation. Use mental math to solve the equation for the time you spend traveling.

SOLVING WITH MENTAL MATH Use mental math to solve the equation. $$ r-1=7 $$

Find the distance traveled using \(d=r t\). A racecar driver goes at a speed of 170 miles per hour for 2 hours.

Write the improper fraction as a mixed number. $$ \frac{16}{5} $$

Add. Write the answer as a fraction or a mixed number in simplest form. $$ \frac{2}{9}+\frac{8}{9} $$

Compare using \(<,>\) or \(=\) $$ 1.666 ? 1.67 $$

Evaluate the expression. Then simplify the answer. $$ \frac{5^{2} \cdot 2}{1+6^{2}-12} $$

Use a calculator to evaluate the power. $$ 6^{6} $$

The Land Ordinance of 1785 divided the Northwest Territory into squares of land called townships. Every township was divided into 36 square sections, 1 mile on each side. How many square miles were in each township? How many acres? HINT: \(1 \mathrm{mi}^{2}=640\) acres

SOLVING WITH MENTAL MATH Use mental math to solve the equation. $$ 3 y=12 $$

Find the distance traveled using \(d=r t\). A plane travels at a speed of 450 miles per hour for 3 hours.

Write the improper fraction as a mixed number. $$ \frac{21}{9} $$

Add. Write the answer as a fraction or a mixed number in simplest form. $$ \frac{5}{12}+\frac{1}{12} $$

Compare using \(<,>\) or \(=\) $$ 15.7 ? 15.700 $$

Evaluate the expression. Then simplify the answer. $$ \frac{21+9}{5^{2}+40-5} $$

Use a calculator to evaluate the power. $$ 3^{12} $$

SOLVING WITH MENTAL MATH Use mental math to solve the equation. $$ 4 p=36 $$

Find the distance traveled using \(d=r t\). A person walks at a rate of 4 feet per second for 1 minute.

Write the improper fraction as a mixed number. $$ \frac{18}{4} $$

Add. Write the answer as a fraction or a mixed number in simplest form. $$ \frac{12}{15}+\frac{7}{15} $$

Compare using \(<,>\) or \(=\) $$ 0.4321 ? 0.434 $$

Evaluate the expression. Then simplify the answer. $$ \frac{3^{3}+8-7}{2 \cdot 7} $$

Translate into mathematical symbols "the difference of a number and 4 is 10 " Let \(n\) represent the number. (A) \(n-4=10\) (B) \(4-n=10\) (C) \(10-4=n\) (D) \(10-n=4\)

SOLVING WITH MENTAL MATH Use mental math to solve the equation. $$ z \div 4=5 $$

Write the improper fraction as a mixed number. $$ \frac{15}{7} $$

Add. Write the answer as a fraction or a mixed number in simplest form. $$\frac{11}{3}+\frac{2}{3} $$

Compare using \(<,>\) or \(=\) $$ 0.48 ? 0.479 $$

Evaluate the expression. Then simplify the answer. $$ \frac{4 \cdot 2^{5}}{16-4^{2}+1} $$

Evaluate the variable expression when c 4 and d 5. $$ \left(d^{2}\right)+c $$

Which is the correct algebraic translation of "Howard's hourly wage \(h\) is \(\$ 2\) greater than Marla's hourly wage \(m ?\) (F) \(h< m+2 \quad\) (G) \(h=m+2\) (H) \(m=h+2\) (J) \(h>m+2\)

SOLVING WITH MENTAL MATH Use mental math to solve the equation. $$ \frac{x}{7}=3 $$

Write the improper fraction as a mixed number. $$ \frac{30}{8} $$

Add. Write the answer as a fraction or a mixed number in simplest form. $$ \frac{5}{6}+\frac{7}{6} $$

Compare using \(<,>\) or \(=\) $$ 3.11 ? 3.09 $$

Which is correct? $$ \text { A. } \frac{9^{2}+3}{5}=9^{2}+3 \div 5 $$ $$ \text { B. } \frac{9^{2}+3}{5}=\left[9^{2}+3\right] \div 5 $$

Find the volume of a cube when each side x is 10 feet.

SOLVING WITH MENTAL MATH Use mental math to solve the equation. $$ 2 b=28 $$

Write the improper fraction as a mixed number. $$ \frac{54}{12} $$

Add. Write the answer as a fraction or a mixed number in simplest form. $$ \frac{2}{8}+\frac{1}{8} $$

In Exercises 43–46, two calculators were used to evaluate the expression. Determine which calculator performed the correct order of operations. $$15 - 6 / 3 * 4 Enter$$ $$Calculator A: 12 \quad Calculator B: 7$$