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Hotmath Practice Problems

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Title:
Hotmath Algebra 1
Author:
Hotmath Team
Chapter:Solving Linear EquationsSection:Formulas
 

Problem: 1

Solve the given formula for b.

p = s + bq


Problem: 3

Solve the given formula for y.

N = xyz


Problem: 5

Solve the given formula for S.

M = (0.43)N2S r


Problem: 7

Solve the given formula for x.


Problem: 9

In the formula for the area of a triangle, solve for h:


Problem: 11

In the formula for the volume of a circular cone, solve for h:


Problem: 13

In the formula for investment at simple interest, solve for r:


Problem: 15

In the formula for investment at compound interest, solve for P:


Problem: 17

In the formula for the area of a trapezoid, solve for b1:


Problem: 19

In the formula for the sum of a geometric sequence, solve for r:


Problem: 21

The pressure P (in pounds per square inch) exerted on the floor by the heel of a shoe is given by

Here W represents the weight of the person wearing the shoe and H represents the width of the heel.

Solve the formula for W. Use this to find Rita's weight if, when she wears 3–inch–wide heels, the pressure exerted is 31 pounds per square inch.


Problem: 23

The formula for converting Celsius to Fahrenheit is

a) Use the formula to write 0C in Fahrenheit.

b) Solve the formula for C, and use this to write 212F in Celsius.


Problem: 25

Suppose a rectangle has area 144 square units and width 8 units. Find its length.


Problem: 27

The perimeter of a rectangle is 14 cm. Its length is 5 cm. Find its area.


Problem: 29

A quantity of a substance has mass 9 grams. Its density is 0.33 grams per cubic centimeter. Find its volume. Round the result to the nearest hundredth.

Use the formula, .


Problem: 31

Elephant seals dive deep underwater and can stay submerged for many minutes, even though they are air–breathing mammals. They do this by slowing down their metabolism, especially their heart rate.

If x is the time submerged (in minutes), then the average heart rate of a northern elephant seal during the dive is given by the formula

R = –0.08x2 + 1.43x + 32.3

Find the average heart rate during a 28–minute dive.