5 Resources for solving word problems involving inequalities

5 Resources for solving word problems involving inequalities

Khan Academy/Solving Inequalities
This resource by Khan Academy has sample problems and video answers in order to help you. This page focuses on two-step inequalities.

Solving Inequalities Calculator
Type in your inequality problem and this online problem solver will solve it for you.

Solving Inequalities with Fractions
Step by step directions for solving inequalities that contain fractions.

Solving inequalities involving Absolute value
What do you do if the inequality has an absolute value? This video provides step by step directions.

What is an inequality?
This video reviews exactly what an inequality is.

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Using Proportions to Solve Word Problems

In this video you will learn how to set up proportions in order to solve word problems.

How do you set a proportion?
First will set it up as two fractions that are equal to each other.
The fraction needs to have the same unit on the top and the matching unit on the bottom.
Next, you solve it by cross multiplying.
Finally, you just solve the equation.

Let’s look at an example of setting up a proportion.
Example problem number 1.
A map scale says 1 inch = 2 miles, how many miles will 4 1/2 inches.

Step 1. Set up a proportion of 1 inch =2 miles the
We will set up 1 inch/ 2miles = 4.5 inches/x miles

Step 2. Complete a cross product

Step 3. Solve

Proportion word problem 2

The Ford F150 can travel 150 miles on 10 gallons of gas. How much gas is required to travel 150 miles?

Set up a proportion
150 miles / 10 gallons = 750 miles / x gallons of gas

Now we just complete a cross product.
150 times x = 10 times 750
750 x 10 =7500 and divide both sides of the equation by 150 which equals 50

What does 50 represent?
It represents the gallons of gas.

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Proportion Word Problems

In this video you will learn how to set up, and solve proportion word problems.

Three proportion word problems are solved to help you learn how to set, and solve the proportion word problems.

An example of a proportion word problem would be, " if you can buy 30 oranges for $15,how many oranges could you buy if you had $69.00?"

Additional Resources for Proportion Word Problem

Solving Proportion Word Problems

How to Solve Word Problems Using a Proportion


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Geometry Word Problems-Area of a Circle

Video covers how to solve word problems involving circles.

For example, if you had a clock with a minute hand with a radius of 4 inches, what is the area of the clock?

This problem uses the radius of the circle to find the area.

What if the minute hand of a clock is four inches, could you find the area of a sector created by the hands of the clock at 2pm?

This problem involves using the radius of the two hands of the clock,along with the area of the circle, in order to calculate the sector area.

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Setting up Algebraic word problems

Setting up word problems can be tricky and frustrating. The video solves several word problems that are solved using algebra. The more you practice word problems the easier they become.



The three problems solved are as follows,



The length of a rectangular field is 10 meters less than 9 times the width. The perimeter is 140 meters. Find the length.



 If 7 is less than 4 times a number is 29. Find the number.



A rectangle has a length that is 4 meters more than the width. The perimeter is 184 meters. Find the length.



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