9.7 Solve a formula for a specific variable  (Page 4/9)

Steve drove for $8\frac{1}{2}$ hours at $72$ miles per hour. How much distance did he travel?

Socorro drove for $4\frac{5}{6}$ hours at $60$ miles per hour. How much distance did she travel?

Yuki walked for $1\frac{3}{4}$ hours at $4$ miles per hour. How far did she walk?

Francie rode her bike for $2\frac{1}{2}$ hours at $12$ miles per hour. How far did she ride?

Connor wants to drive from Tucson to the Grand Canyon, a distance of $338$ miles. If he drives at a steady rate of $52$ miles per hour, how many hours will the trip take?

Megan is taking the bus from New York City to Montreal. The distance is $384$ miles and the bus travels at a steady rate of $64$ miles per hour. How long will the bus ride be?

Aurelia is driving from Miami to Orlando at a rate of $65$ miles per hour. The distance is $235$ miles. To the nearest tenth of an hour, how long will the trip take?

Kareem wants to ride his bike from St. Louis, Missouri to Champaign, Illinois. The distance is $180$ miles. If he rides at a steady rate of $16$ miles per hour, how many hours will the trip take?

Javier is driving to Bangor, Maine, which is $240$ miles away from his current location. If he needs to be in Bangor in $4$ hours, at what rate does he need to drive?

Alejandra is driving to Cincinnati, Ohio, $450$ miles away. If she wants to be there in $6$ hours, at what rate does she need to drive?

Aisha took the train from Spokane to Seattle. The distance is $280$ miles, and the trip took $3.5$ hours. What was the speed of the train?

Philip got a ride with a friend from Denver to Las Vegas, a distance of $750$ miles. If the trip took $10$ hours, how fast was the friend driving?

Solve for $t\text{:}$

1. ⓐ when $d=350$ and $r=70$
2. ⓑ in general

Solve for $t\text{:}$

1. ⓐ when $d=240$ and $r=60$
2. ⓑ in general

Solve for $t\text{:}$

1. ⓐ when $d=510$ and $r=60$
2. ⓑ in general

Solve for $t\text{:}$

1. ⓐ when $d=175$ and $r=50$
2. ⓑ in general

Solve for $r\text{:}$

1. ⓐ when $d=204$ and $t=3$
2. ⓑ in general

Solve for $r\text{:}$

1. ⓐ when $d=420$ and $t=6$
2. ⓑ in general

Solve for $r\text{:}$

1. ⓐ when $d=160$ and $t=2.5$
2. ⓑ in general

Solve for $r\text{:}$

1. ⓐ when $d=180$ and $t=4.5$
2. ⓑ in general.

Solve for $b\text{:}$

1. ⓐ when $A=126$ and $h=18$
2. ⓑ in general

Solve for $h\text{:}$

1. ⓐ when $A=176$ and $b=22$
2. ⓑ in general

Solve for $h\text{:}$

1. ⓐ when $A=375$ and $b=25$
2. ⓑ in general

Solve for $b\text{:}$

1. ⓐ when $A=65$ and $h=13$
2. ⓑ in general

In the following exercises, use the formula $I=Prt.$

Solve for the principal, $P$ for:

1. ⓐ $I=\text{\$5,480},r=\text{4\%},t=7\text{years}$
2. ⓑ in general

Solve for the principal, $P$ for:

1. ⓐ $I=\text{\$3,950},r=\text{6\%},t=5\text{years}$
2. ⓑ in general

Solve for the time, $t$ for:

1. ⓐ $I=\text{\$2,376},P=\text{\$9,000},r=4.4\%$
2. ⓑ in general

Solve for the time, $t$ for:

1. ⓐ $I=\text{\$624},P=\text{\$6,000},r=5.2\%$
2. ⓑ in general

Solve the formula $2x+3y=12$ for $y\text{:}$

1. ⓐ when $x=3$
2. ⓑ in general

Solve the formula $5x+2y=10$ for $y\text{:}$

1. ⓐ when $x=4$
2. ⓑ in general

Solve the formula $3x+y=7$ for $y\text{:}$

1. ⓐ when $x=\mathrm{-2}$
2. ⓑ in general

Solve the formula $4x+y=5$ for $y\text{:}$

1. ⓐ when $x=\mathrm{-3}$
2. ⓑ in general

Solve $a+b=90$ for $b.$

Solve $a+b=90$ for $a.$

Solve $180=a+b+c$ for $a.$

Solve $180=a+b+c$ for $c.$

Solve the formula $8x+y=15$ for $y.$

Solve the formula $9x+y=13$ for $y.$

Solve the formula $-4x+y=\mathrm{-6}$ for $y.$