Chapter 1

Compare using \(<,>\) or \(=\) $$ 9.54 ? 9.540 $$

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

Check to see if the given value of the variable is or is not a solution of the equation. \(8 k-2=30 ; k=4\)

SOLVING WITH MENTAL MATH Use mental math to solve the equation. $$ 11 t=22 $$

Write the improper fraction as a mixed number. $$ \frac{84}{36} $$

Add. Write the answer as a fraction or a mixed number in simplest form. $$ \frac{3}{5}+\frac{1}{5} $$

Determine which calculator performed the correct order of operations. $$15 - 9 / 3 + 7 Enter$$ $$Calculator A: 19 \quad Calculator B: 9$$

Check to see if the given value of the variable is or is not a solution of the equation. \(15+2 c=5 c ; c=5\)

SOLVING WITH MENTAL MATH Use mental math to solve the equation. $$ 29-d=10 $$

Write the improper fraction as a mixed number. $$ \frac{20}{3} $$

Add. Write the answer as a fraction or a mixed number in simplest form. $$ \frac{3}{4}+\frac{9}{4} $$

Determine which calculator performed the correct order of operations. $$15 + 10 / 5 + 4$$ $$Calculator A: 21\quad Calculator B: 9$$

Check to see if the given value of the variable is or is not a solution of the equation. \(\frac{r^{2}}{2}=40 ; r=9\)

SOLVING WITH MENTAL MATH Use mental math to solve the equation. $$ 3+y=8 $$

Add. Write the answer as a fraction or a mixed number in simplest form. $$ \frac{9}{14}+\frac{3}{14} $$

Evaluate the expression for the given value of the variable. \(2 x^{2}\) when \(x=7\)

Check to see if the given value of the variable is or is not a solution of the equation. \(50=3 w ; w=15\)

SOLVING WITH MENTAL MATH Use mental math to solve the equation. $$ r+30=70 $$

Evaluate the expression for the given value of the variable. \(6 t^{4}\) when \(t=1\)

Write the percent as a decimal. \(28 \%\)

SOLVING WITH MENTAL MATH Use mental math to solve the equation. $$ \frac{42}{x}=7 $$

A tsunami is a huge fast-moving series of water waves that can be caused by disturbances such as underwater earthquakes or volcanic explosions. If a tsunami is traveling at a speed of 500 miles per hour across the Pacific Ocean, how far has it gone in 15 minutes? HINT: Convert 15 minutes to hours.

Evaluate the expression for the given value of the variable. \(7 b^{2}\) when \(b=3\)

Write the percent as a decimal. \(25 \%\)

SOLVING WITH MENTAL MATH Use mental math to solve the equation. $$ 7 m=49 $$

Writing the units of measure helps you determine the units for the answer. This is called unit analysis. When the same units occur in the numerator and the denominator, you can cancel them. Use unit analysis to evaluate the expression. The letter \(h\) is an abbreviation for hours, while \(m i\) stands for miles. a. \((3 h)\left(\frac{25 m i}{1 h}\right)\) b. \((90 \mathrm{mi}) \div\left(\frac{45 \mathrm{mi}}{1 \mathrm{h}}\right)\) Evaluate the expression \((4 \mathrm{h})\left(\frac{60 \mathrm{mi}}{1 \mathrm{h}}\right)\)

Evaluate the expression for the given value of the variable. \((5 w)^{3}\) when \(w=5\)

Write the percent as a decimal. \(40 \%\)

Writing the units of measure helps you determine the units for the answer. This is called unit analysis. When the same units occur in the numerator and the denominator, you can cancel them. Use unit analysis to evaluate the expression. The letter \(h\) is an abbreviation for hours, while \(m i\) stands for miles. a. \((3 h)\left(\frac{25 m i}{1 h}\right)\) b. \((90 \mathrm{mi}) \div\left(\frac{45 \mathrm{mi}}{1 \mathrm{h}}\right)\) Evaluate the expression \((80 \mathrm{mi}) \div\left(\frac{20 \mathrm{mi}}{1 \mathrm{h}}\right)\)

Evaluate the expression for the given value of the variable. \((4 x)^{3}\) when \(x=1\)

Write the percent as a decimal. \(22 \%\)

MULTIPLE CHOICE How many miles does Joyce travel if she drives for 6 hours at an average speed of 60 miles per hour? \(\begin{array}{lllll}{\text { A } 66 \text { miles }} &{\text { B } 180 \text { miles }} & {\text{ C } 360 \text { miles }} & {\text { D } 420 \text { miles }}\end{array}\)

Write the percent as a decimal. \(45 \%\)

Evaluate the expression for the given value of the variable. \((5 y)^{5}\) when \(y=2\)

CHECKING SOLUTIONS OF INEQUALITIES Check to see if the given value of the variable is or is not a solution of the inequality. $$ n-2<6 ; n=3 $$

MULTIPLE CHOICE The lengths of the sides of a triangle are 4 centimeters, 8 centimeters, and 7 centimeters. What is the perimeter of the triangle? \(\begin{array}{lllll}{\text { F } 7 \text { cm }} & {\text { G } 16 \text { cm }} & {\text { H } 19 \text { cm }} & {\text { J } 28 \text { cm }}\end{array}\)

Write the percent as a decimal. $$ 90 \% $$

The floor of a room is 14 feet long by 14 feet wide. How many square feet of carpet are needed to cover the floor?

CHECKING SOLUTIONS OF INEQUALITIES Check to see if the given value of the variable is or is not a solution of the inequality. $$ a-7 \geq 15 ; a=22 $$

OPERATIONS WITH DECIMALS Find the value of the expression. $$ 32.8-4 $$

At a concert you buy a hat for \(10.00, a hot dog for \)2.75, and nachos for $3.50. There is a 6% sales tax on the hat. Your calculator follows the established order of operations. Write a keystroke sequence for the amount you owe. Then find the amount you owe. HINT: 6% 0.06

Write the percent as a decimal. \(17.4 \%\)

A fireproof safe is designed in the shape of a cube. The length of each edge of the cube is 2 meters. What is the volume of the fireproof safe?

CHECKING SOLUTIONS OF INEQUALITIES Check to see if the given value of the variable is or is not a solution of the inequality. $$ 6+y \leq 8 ; y=3 $$

OPERATIONS WITH DECIMALS Find the value of the expression. $$ 3.98+5.50 $$

Evaluate the expression \(4^{2}-10 \div 2.\) $$A)3\quad B)11\quad C)13\quad D)21$$

Write the percent as a decimal. \(6.51 \%\)

In 1997, the artist Jon Kuhn of North Carolina created a cubic sculpture called Crystal Victory, shown at the left. Each edge of the solid glass cube is 9.5 inches in length. What is the volume of the cubic structure?

CHECKING SOLUTIONS OF INEQUALITIES Check to see if the given value of the variable is or is not a solution of the inequality. $$ s+5>8 ; s=4 $$

OPERATIONS WITH DECIMALS Find the value of the expression. $$ 0.1(50) $$