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Hotmath Practice Problems

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Title:
Hotmath Algebra 2
Author:
Hotmath Team
 
Free
Chapter:Equations and InequalitiesSection:Formulas and Models
 

Problem: 1

The Celsius temperature C can be converted to Fahrenheit temperature F using

the formula

Write 96.8F inC.


Problem: 3

Find the area of the rectangle shown.


Problem: 5

The area of a trapezoid is given by the formula:

Find the area of a trapezoid with h = 5, b1 = 21, b2 = 15.


Problem: 7

The area of a trapezoid is given by the formula:

Find the area of a trapezoid with h = 6, b1 = 11.50, b2 = 5.75.


Problem: 9

The area of a trapezoid is given by the formula:

Find b1 if A = 70, h = 7, and b2 = 14.


Problem: 11

Simple interest is calculated using the relation:

I = prt

Find the simple interest when p = $1300, r = 5.5%, t = 2 years.


Problem: 13

Find the total surface area of the rectangular prism shown.


Problem: 15

Find the total surface area of the rectangular prism shown if x = 3.


Problem: 17

Find the value of h where,

if V = 162 and r = 9.


Problem: 19

The amount at simple interest is calculated using A = P(1 + rt).

Work out the time t if, A = 177, P = 150 and r = 0.06.


Problem: 21

The total surface area of a cone is worked out using A = πr(s + r), where r is the radius of the base and s is the slant height.

Find the value of s if A = 80πr = 4


Problem: 23

The total area of a cylinder is worked out using A = 2πr(r + h)

Find the formula for r using the formula for A.


Problem: 25

The sum of a geometric series is given by

Solve for a.


Problem: 27

The radius of a circle is x. If the radius is increased by 2 units, find the circumference of the circle after the increase in the length.


Problem: 29

During the period 1990 – 2002, the population of Maryland (in thousands) can be approximated by the model 10.7t + 5125 where t is the number of years since 1990. What was the population in 2002? What was the population increase from 1990 to 2002?


Problem: 1

The Celsius temperature C can be converted to Fahrenheit temperature F using

the formula

Write 96.8 F in C.


Problem: 3

Find the area of the rectangle shown.


Problem: 5

The area of a trapezoid is given by the formula:

Find the area of a trapezoid with h = 5, b1 = 21, b2 = 15.


Problem: 7

The area of a trapezoid is given by the formula:

Find the area of a trapezoid with h = 6, b1 = 11.50,b2 = 5.75.


Problem: 9

The area of a trapezoid is given by the formula:

Find b1 if A = 70, h = 7, and b2 = 14.


Problem: 11

Simple interest is calculated using the relation:

I = prt

Find the simple interest when p = $1300, r = 5.5%, t = 2 years.


Problem: 13

Find the total surface area of the rectangular prism shown.


Problem: 15

Find the total surface area of the rectangular prism shown if x = 3.


Problem: 17

Find the value of h where,

if V = 162 and r = 9.


Problem: 19

The amount at simple interest is calculated using A = P(1 + rt).

Work out the time t if, A = 177, P = 150 and r = 0.06.


Problem: 21

The total surface area of a cone is worked out using A = πr(s + r), where r is the radius of the base ands is the slant height.

Find the value of s if A = 80πr = 4


Problem: 23

The total area of a cylinder is worked out using A = 2πr(r + h)

Find the formula for r using the formula for A.


Problem: 25

The sum of a geometric series is given by

Solve for a.


Problem: 27

The radius of a circle is x. If the radius is increased by 2 units, find the circumference of the circle after the increase in the length.


Problem: 29

During the period 1990 – 2002, the population of Maryland (in thousands) can be approximated by the model 10.7t + 5125 where t is the number of years since 1990. What was the population in 2002? What was the population increase from 1990 to 2002?