Exploring Systems of Equations

In this video tutorial from Friendly Math 101, the instructor teaches how to write systems of equations from word problems. The lesson begins with an introduction to systems of equations, emphasizing the importance of identifying totals and important information in word problems. The first example involves setting up equations for a ticket sales problem, where the total number of tickets and total revenue are used to form two equations. The second example focuses on a garden perimeter problem, where the perimeter and a relationship between length and width are used to form equations. The video concludes with a reminder to subscribe for more tutorials.

What is a system of equations?

• A word problem

• Two or more equations

• A single equation

• A mathematical expression

What should you do with totals in a word problem?

• Highlight them

• Circle them

• Ignore them

• Underline them

How much does an adult ticket cost in the first word problem?

• $10

• $25

• $128

• $1985

What is the total number of tickets sold in the first word problem?

• 1985

• 128

• 10

• 25

What variable is used for adult tickets?

• A

• T

• C

• M

What is the first equation for the number of tickets?

• A + C = 128

• 25A + 10C = 1985

• A + C = 25

• A + C = 1985

What is the second equation for the total money?

• A + C = 128

• 25A + 10C = 128

• 25A + 10C = 1985

• A + C = 1985

What is the perimeter of the rectangular garden in the second word problem?

• Twice the width

• 6 feet

• Twice the length

• 36 feet

What is the formula for the perimeter of a rectangle?

• L + W

• 2L + 2W

• L * W

• L - W

How is the length of the garden described in the second word problem?

• Twice the width

• 6 more than twice the width

• Equal to the width

• 6 less than twice the width