1 .2 – MORE COMPLEX WORD PROBLEMS

Algebra 1

Do Now

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?

Example One

Brianne’s golf score is eight more than Tim’s score. The sum of their scores is ninety-six. Find Brianne’s golf score.

Example Two

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?

You Try!

Tracey is looking at two different travel agencies to plan her vacation. ABC Travel offers a plane ticket for $295 and a rental car for $39 per day. M & N Travel offers a plane ticket for $350 and a rental car for $33 per day. After how many days will both rental costs be equal?

Definitions

Area of a rectangle:

Area of a square:

Perimeter of an object:

Equilateral Triangle:

Example Three:

Three times the perimeter of a square is equal to the perimeter of an equilateral triangle. The side of the square is 4x-6 inches if the side of the triangle is x inches. What is the area of the square?

Example Four:

A rectangle has a perimeter of 32 inches, and the length is 4 inches more than the width. Find the area of this rectangle.

You Try!

An equilateral triangle and square have the same perimeters. The length of each side of the triangle is . The length of each side of the square is . Write and solve an equation to find the value of .

A rectangle’s perimeter is 63 inches. If the length of the rectangle is four more than three times it’s width, what is the dimensions of the rectangle?

Example Five:

For the following, the equation is given. Change the algebra to English. Do not solve the equation.

Example Six:

You Try!

Practice Problems

Try some on your own/in small groups

As always don’t hesitate to ask me questions if you are confused.

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.

In words: