Chapter 3

Choose the expression that completes the following equation: 720 seconds \(\cdot \quad ?=12\) minutes. A. \(\frac{1 \text { minute }}{60 \text { seconds }}\) B. \(\frac{60 \text { seconds }}{1 \text { minute }}\)

Solve the percent problem. 18 is what percent of 60?

Solve the equation by distributing the fraction first. $$ 3(x+2)=\frac{1}{4}(12 x+4)-5 x $$

Solve the equation. Round the result to the nearest hundredth. $$ 39.21 x+2.65=42.03 x $$

SOLVING EQUATIONS Use multiplication to solve the equation. $$ \frac{x}{2}=-5 $$

Solve the equation. $$ 2 t-3 t+8=3 t-8 $$

Solve the equation. $$ t-2=6 $$

Check to see if the given value of the variable is or is not a solution of the inequality. $$ y-33 \geq 51 ; y=84 $$

Solve the equation. \(3(k-2)=18\)

In Exercises \(32-37\), convert the units. Round the result to the nearest tenth. 60 eggs to dozens of eggs

Solve the percent problem. 9 people is what percent of 60 people?

Solve the equation by distributing the fraction first. $$ \frac{2}{5}(10 x+25)=-10-4(x+3) $$

Solve the equation. Round the result to the nearest hundredth. $$ 12.67+42.35 x=5.34 x $$

SOLVING EQUATIONS Use multiplication to solve the equation. $$ \frac{t}{4}=-4 $$

Solve the equation. $$ 13 x+8+8 x=-9 x-22 $$

Solve the equation. $$ -9=2+y $$

Check to see if the given value of the variable is or is not a solution of the inequality. $$ 6 x<35 ; x=6 $$

Solve the equation. \(-2(4-m)=10\)

In Exercises \(32-37\), convert the units. Round the result to the nearest tenth. 2 years to months

Solve the percent problem. 80 is what percent of 400?

Solve the equation by distributing the fraction first. $$ \frac{1}{2}(8 n-2)=-(-8+9 n)-5 n $$

Solve the equation. Round the result to the nearest hundredth. $$ 4.65 x-4.79=-6.84 x $$

SOLVING EQUATIONS Use multiplication to solve the equation. $$ 6=\frac{d}{5} $$

Solve the equation. $$ -x+6-5 x=14-2 x $$

Solve the equation. $$ n-5=-9 $$

Check to see if the given value of the variable is or is not a solution of the inequality. $$ 14-y>12 ; y=4 $$

Solve the equation. \(x+4(x+3)=17\)

In Exercises \(32-37\), convert the units. Round the result to the nearest tenth. 168 days to weeks

Solve the equation by distributing the fraction first. $$ 2(8-4 x)=\frac{1}{3}(33-18 x)+3 $$

Solve the equation. Round the result to the nearest hundredth. $$ 7.87-9.65 x=8.52 x-3.21 $$

SOLVING EQUATIONS Use multiplication to solve the equation. $$ \frac{m}{-4}=-\frac{3}{4} $$

Solve the equation. $$ 5 x-3 x+4=3 x+8 $$

Solve the equation. $$ y+12=-12 $$

Check to see if the given value of the variable is or is not a solution of the inequality. $$ 42+x \leq 65 ; x=23 $$

Solve the equation. \(8 y-(8+6 y)=20\)

In Exercises \(32-37\), convert the units. Round the result to the nearest tenth. 1270 minutes to hours

Store A has a coat on sale for 30% off the regular price of \(\$60\). The same coat is on sale at Store B for 20% off the regular price of \(\$60\). You also have a Store B coupon for 10% off the sale price. Will you save money by going to Store B? Explain why or why not.

Solve the equation by distributing the fraction first. $$ \frac{3}{4}(24-20 t)+9 t=2(5 t+1) $$

Solve the equation. Round the result to the nearest hundredth. $$ 8.79 x-6.54=6.48+13.75 x- $$

SOLVING EQUATIONS Use multiplication to solve the equation. $$ \frac{y}{7}=12 $$

Solve the equation. $$ y-12=12 $$

Solve the equation. \(x-2(3 x-2)=-6\)

In Exercises \(32-37\), convert the units. Round the result to the nearest tenth. 100 yards to feet\((1 \text { yard }=3 \text { feet })\)

The table below shows the number of electoral votes each candidate in the Election of 1860 received. What percent of the total number of electoral votes did each candidate receive? $$ \begin{array}{|c|c|c|} \hline {\text { Party }} & {\text { Candidate }} & {\text { Electoral votes }} \\\ \hline \text { Republican } & {\text { Abraham Lincoln }} & {180} \\ \hline \text { Southern Democratic } & {\text { J.C. Breckinridge }} & {72} \\\ \hline \text { Constitutional Union } & {\text { John Bell }} & {39} \\ \hline \text { Northern Democratic } & {\text { Stephen Douglas }} & {12} \\ \hline \end{array} $$

Solve the equation by distributing the fraction first. $$ \frac{2}{3}(9 n-6)=4(n+1) $$

The 267.9 million people in the United States consumed 639.4 million kilograms of cocoa produced in the 1996–1997 growing year. Which choice better represents the amount of cocoa consumed per person that year? Explain your reasoning. $$A. 2.38671146 kilograms$$ $$B. about 2.4 kilograms$$

SOLVING EQUATIONS Use multiplication to solve the equation. $$ -\frac{h}{3}=-16 $$

In Exercises 35 and 36, find and correct the error. $$ \begin{aligned} 4 c-6+c &=4-3 c \\ 5 c-6 &=4-3 c \\ 2 c-6 &=4 \\ 2 c &=10 \\ c &=5 \end{aligned} $$

Solve the equation. $$ a-3=-2 $$

Solve the equation. \(\frac{3}{4}(x+9)=15\)