Algebra Word Problem Solver Software

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Enter your basic math or pre-algebra word problem in English.

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Introduction

Solving Word Problems using the Algebra Word Problem Solver

Types of Problems Solved

Using the Algebra Word Problem Solver

Problem Types Solved	Please place your cursor over a description below for its quick view. Click to view actual screen sequences.
Age	Solves age word problems for age relationships of 2 or 3 people, now or in the future.
Number Conversion	Number Conversions: Convert Percents to or from Fractions Convert Percents to or from Decimals Convert Fractions to or from Decimals
Coins	Solves coins problems for pennies, nickels, dimes, quarters, and the total value of the coins.
Geometry: Rectangles	Solves Rectangle Word Problems using length, width, area, and perimeter.
Geometry: Circles	Solves Circle Word Problems using radius, diameter, circumference and area.
Geometry: Triangles	Solve Triangle Word Problems involving area, perimeter, degrees sides, hypoteneuse, base, height.
Units Conversion	English and metric systems, English/Metric; Length: inches, feet, yards, miles, centimeters, meters... Weight: ounces, pounds, tons, grams, kilometers... Time: seconds, minutes, hours, days, months, years, decades... Liquid: cups, pints, quarts, gallons, liters...
Consecutive Integers	Solve Consecutive Integer Word Problems including Consecutive Even and Consecutive Odd Word Problems.
Numbers	Solve number word problems involving 1 or 2 numbers.
Investments	Solve Simple interest investment word problems with 2 investments.
Interest Problems	Solve Interest word problems for Principle, Rate, and Time of Investment
Travel	Solve Travel word problems using the distance formula: Distance = Rate * Time
Percent Change	Solve Percent change, Percent Increase, and Percent decrease word problems

William's father is 26 years older than William. In 10 years, the sum of their ages will be 80. What are their present ages.

Find FATHER's age
Find WILLIAM''s age
Let F=FATHER
Let W=WILLIAM
Given F=W+26
Given 80=F+10+W+10
80=(W+26)+10+W+10 Comment: Substitute W+26 for F in 80=F+10+W+10
Step W=17 Comment Simplify

Solution W=17 //
Solution F=43 Substitute W=17 into F=W+26
End

Convert 7.5 % to a fraction.

7.5% = 7.5/100 = 75/1000 = 3/40

Convert 7.5 % to a decimal.

         7.5          
7.5% =  -----  = 0.075
         100

Convert 3/8 to a decimal.

3 / 8 = 0.375

Andy has 6 more nickels than dimes, and the total value is $2.10. how many nickels does he have?

Find NICKELS
Let N=NICKELS
Let D=DIMES
Let V=VALUE

Given N=D+6
0=0.05(D+6)+0.1D Comment: Substitute D+6 for N in 0=0.05N+0.1D
0=0.05D+0.3+0.1D
0=0.15D+0.3
Step D=-2 Comment Simplify
Solution D=-2 //
Solution N=4 Substitute D=-2 into N=D+6
End

Find the width of a rectangle if the perimeter is 72 and the length is 4.

Find WIDTH
Let P=PERIMETER
Let L=LENGTH
Let W=WIDTH
Given P=72
Given L=4
Given P=2L+2W
72=2L+2W // Substitute 72 for P in P=2L+2W
72=8+2W
0=-64+2W
0=-64+2W // Substitute 4 for L in 72=2L+2W
L=4 Comment: Substitute 72 for P in 0=-64+2W
0=-64+2W Comment: Substitute 4 for L in 0=-64+2W
Step W=32 Comment Simplify

Solution W=32 //
End

What is the area of a circle with a diameter of 10 centimeters?

Let A = Area
Let D = Diameter

Circle Area Formula: Area = πD² / 4
Given: Diameter = 10 CENTIMETERS
A = πD² / 4
A = π(10)² / 4
A = 25π CENTIMETERS

A = 78.5 CENTIMETERS (Approximate area)

What is the area of a triangle with a base of 6 inches and a height of 10 inches?

Let A = Area
Let B = Base
Let H = Height
Given: Base = 6
Given: Height = 10

Triangle Area Formula: A = BH / 2

A = (6 * 10) / 2
A = 30

Units Conversion: Length

Jim is 6 feet tall. How tall is Jim in Centimeters?

6 FEET = 6 FEET * 12 INCHES / FOOT
= 72 INCHES

6 FEET
= 72 INCHES * 2.54 CENTIMETERS / INCH

= 182.88 CENTIMETERS

A truck has a gross weight of 7400 kilograms. What is the gross weight in pounds?

                                     2.2 POUNDS                
7400 KILOGRAMS  = 7400 KILOGRAMS  *  ---------- 
                                     KILOGRAMS                 

= 16,280 POUNDS

Units Conversion: Time
Convert 23 weeks to minutes.

23 WEEKS = 23 WEEKS * 7 DAYS / WEEK = 161 DAYS

23 WEEKS = 161 DAYS * 24 HOURS / DAY = 3,864 HOURS

23 WEEKS = 3,864 HOURS * 60 MINUTES / HOUR
= 231,840 MINUTES

Units Conversion: Liquid Measure Convert 3.5 gallons to pints.

3.5 GALLONS
= 3.5 GALLONS * 4 QUARTS/GALLON
= 14 QUARTS

3.5 GALLONS
= 14 QUARTS * 2 PINTS/QUART
= 28 PINTS

The product of two consecutive integers is 306. Find the integers.

Find SMALLER
Find LARGER
Let S=SMALLER
Let L=LARGER
Given SL=306
Given L-S=1
S(1+S)=306 Comment: Substitute 1+S for L in L=1+S
S+S²=306
S+S²=306

Solution: S = {17, -18 Comment: Next solve for L using L=1+S
SolutionSet 1:
{S=17, L=18}
SolutionSet 2:
{S=-18, L=-17}
End

Twice the difference of 31 and a number exceeds twice the number by 30. Find the number.

Find NUMBER
Let N=NUMBER
Given 2(31-N)=2N+30

62-2N=2N+30
0-2N=2N-32
Step N=8 Comment Simplify
Solution N=8 //
End

A total of $11,000 was invested. Part was invested at 4%, and the rest was invested at 7%. If the investments earn $680 per year, how much was invested at each rate?

Let x = Amount Invested at 4%
Let y = Amount Invested at 7%

Amount Invested = $11,000
Total Income = $680

x + y = 11000
x = 11000 - y

0.04x +0.07y = 680
4x +7y = 68000

4(11000 - y) +7y = 68000
44000 - 4y +7y = 68000
3y = 24000

y = $8,000 Invested at 7%

x = 11000 - 8000

x = $3,000 Invested at 4%

What is the Interest on $890 at 12.5% for 261 Days?

Let P = Principle
Let R = Rate
Let T = Time
Let I = Interest

Given: P = $890
Given: R = 12.5%
Given: T = 261 DAYS
Find: I

261 days = 261/360 = 0.725 years

Interest = Principle * Rate * Time
I = PRT
I = $890 * 12.5% * 0.725
I = $890 * 0.125 * 0.725
I = $80.66

Don runs at an average speed of 12 yards per second. How long will it take him to run 120 yards? |

Let D = Distance
Let R = Rate
Let T = Time

Given: Distance = 120
Given: Rate = 12

Distance Formula: Distance = Rate * Time

D = R * T
120 = 12 * T
T = 10 SECOND

What is the percent increase if a worker goes from 32 hours of work to 40 hours of work?

Increase = Final Value - Start Value
= 40 - 32 = 8

Percent Increase = Increase / Start Value * 100%
= 8/32 * 100 % = 25%

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