Complex Equation Word Problems

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John works at an ice cream shop scooping ice cream. Fifteen less than three times his hourly wage is equal to half his hourly wage plus forty. What is John’s hourly wage?

Homework

Any specific struggles/questions?

Definitions:

Consecutive Integers:

Area of a rectangle:

Area of a square:

Perimeter of an object:

Equilateral Triangle:

Practice: Example One

Three consecutive integers sum to 189. What are the integers?

Practice Example Two:

Three consecutive EVEN integers sum to 306.

Find the integers.

Follow Up Question

What do you think you’d need to do for for consecutive

ODD numbers?

Example 2.5

Three consecutive ODD integers sum to 21. What are the numbers?

Example Three

Brianne’s golf score is 8 more than Tim’s score. The sum of their scores is 96. Fine Brianne’s golf score.

Example Four:

Three times the perimeter of a square is equal to the perimeter of an equilateral triangle. The side of the square is 4x-7.5 inches if the side of the triangle is x inches. What is the area of the square?

Example Five

Shirley is going to have the exterior of her home painted.

Tim’s painting charges $250 plus $14.00 per hour. Colorful

Paints charges $22 per hour. How many hours would the job need to be for both companies’ cost to be equal?

Questions

General questions about word problems?

Confusions?

Ask!

Try some in small groups!

Practice Problems

Exit Ticket

The perimeter of a rectangle is six times the length minus 10. The width is 4 less than the length. Find the length.

Three consecutive integers add to 36. Find the integers.

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