Chapter 3

State the inverse operation. Add 28

Solve the equation. \(2 x+7=15\)

A bottle-nosed whale can dive at a rate of 440 feet per minute. You want to find how long it will take for a bottle-nosed whale to dive 2475 feet at this rate. Which equation represents this situation? A. \(t=2475-440\) B. \(t=\frac{2475}{440}\)

Solve the percent problem. How much is 8% of 800 tons?

During a football game, a quarterback throws 30 passes and completes 15 of them. What is the ratio of passes completed to passe \(=\) thrown?

Solve the equation. $$ 7(6-y)=-3(y-2) $$

Solve the equation. Round the result to the nearest hundredth. Check the rounded solution. $$ 13 x-7=27 $$

Describe the first step you would use to solve the equation. $$ -4 x=-9+5 x $$

STATING INVERSES State the inverse operation. Divide by \(-3\)

State the inverse operation. Add 17

Solve the equation. \(5 p-16=54\)

Humans produce a set of 20 teeth during early jaw edevelopment. A second set of 32 permanent teeth replaces the first set of weeth as the jaw matures. What is the ratio of first teeth to permanent teeth?

Solve the percent problem. What number is 200% of 5?

Solve the equation. $$ 5(x+2)=x+6(x-3) $$

Solve the equation. Round the result to the nearest hundredth. Check the rounded solution. $$ 38=-14+9 a $$

Solve the equation. $$ 15-2 y=3 y $$

STATING INVERSES State the inverse operation. Divide by 7

State the inverse operation. Subtract 3

Solve the equation. \(3 g-1=8\)

A scuba diver starts at sea level. The pressure on the diver at a depth of \(d\) feet is given by the formula below, where \(P\) represents the total pressure in pounds per square foot. $$P=64 d+2112$$

Find the unit rate. Earn 126 dollars for working 18 hours

Solve the percent problem. 52 is 12.5% of what number?

Solve the equation. $$ 8(x+5)=7(x+8) $$

Solve the equation. Round the result to the nearest hundredth. Check the rounded solution. $$ 17 x-33=114 $$

Solve the equation. $$ 2 p-9=5 p+12 $$

SOLVING EQUATIONS Use division to solve the equation. $$ 3 r=21 $$

State the inverse operation. Subtract \(15 .\)

Solve the equation. \(3 y+5=11\)

A scuba diver starts at sea level. The pressure on the diver at a depth of \(d\) feet is given by the formula below, where \(P\) represents the total pressure in pounds per square foot. $$P=64 d+2112.$$ If the current pressure on a diver is 4032 pounds per square foot, what is the diver's current depth?

Find the unit rate. Hike 45 miles in 3 days

Solve the percent problem. 42 feet is 50% of what length?

Solve the equation. $$ 24 y-2(6-y)=6(3 y+2) $$

Solve the equation. Round the result to the nearest hundredth. Check the rounded solution. $$ -7 x+32=-21 $$

Solve the equation. $$ 5 x-16=14-5 x $$

SOLVING EQUATIONS Use division to solve the equation. $$ 7 y=-56 $$

State the inverse operation. Add \(-12\)

Given a triangle whose sides have lengths \(a, b,\) and \(c,\) the formula for its perimeter \(P\) is \(P=a+b+c.\) The steps at the right show a formula for finding a side length of a triangle given the perimeter and the lengths of the two other sides. Write an explanation for each step.

Solve the equation. \(7 t-9=19\)

Find the unit rate. 3 dollars for 5 containers of yogurt

Solve the percent problem. 45% of what distance is 135 miles?

Solve the equation. $$ 7(b+2)-4 b=2(b+10) $$

Solve the equation. Round the result to the nearest hundredth. Check the rounded solution. $$ -7 x+17=-6 $$

Solve the equation. $$ -3 g+9=15 g-9 $$

SOLVING EQUATIONS Use division to solve the equation. $$ 18=-2 a $$

State the inverse operation. Subtract \(-2\)

estimate that you will travel on a highway for 205 miles at an average speed of 55 miles per hour. How much time will you need for this part of the trip? Round your answer to the nearest whole hour. (A) 1 hour (B) 2 hours (C) 3 hours (D) 4 hours

Solve the equation. \(4 a+9 a=39\)

Find the unit rate. 2 dollars for 5 cans of dog food

Solve the percent problem. 2% of what amount is $20?

Solve the equation. $$ 4(m+3)-2 m=3(m-3) $$