Word Problem Solving Plan 1

TL;DR

This video explains how to solve word problems using algebraic equations with practical examples.

Transcript

Let's do some word problems. It says this year you got a 5% raise. If your new salary is $45,000, what was your salary before the raise? So let's say my old salary is x. x is equal to old salary. And I got a 5% raise off of that salary. So x plus 5% of x, plus 5% times x-- that's my raise right there-- is going to be equal to my new salary. Well my... Read More

Key Insights

• 😑 Percentage increases or decreases can be calculated using algebraic expressions.
• 🤵 The cost of carpeting a room can be determined by multiplying the cost per square foot by the area of the room.
• 😫 Word problems can be solved by setting up equations using the given information.

Questions & Answers

Q: How can you find the original salary before a 5% raise?

To find the original salary before a 5% raise, you can set up an equation by adding 5% of the old salary to the old salary and setting it equal to the new salary. Then, solve for the old salary using algebraic manipulation.

Q: How can you calculate the cost of carpeting a room?

To calculate the cost of carpeting a room, you need to know the area of the room and the cost per square foot. Multiply the area of the room by the cost per square foot to get the total cost.

Q: How can you determine the number of rides a person went on at a fair?

To determine the number of rides a person went on at a fair, you need to know the total cost paid and the per-ride cost. Set up an equation by adding the per-ride cost multiplied by the number of rides to the base cost and setting it equal to the total cost. Solve for the number of rides using algebraic methods.

Q: How can you find the angles in a triangle with given relationships?

To find the angles in a triangle with given relationships, set up an equation by adding the angles together and setting it equal to 180 degrees (sum of angles in a triangle). Use algebraic manipulation to solve for the variables representing the angles.

Summary & Key Takeaways

• The video demonstrates how to find the original salary before a 5% raise by solving an equation.

• It explains how to calculate the cost of carpeting a room based on its area, using a given cost per square foot.

• The video teaches how to determine the number of rides someone went on at a fair, given the total cost and per-ride cost.

• It shows how to solve for the angles in a triangle by setting up an equation based on their relationships.