Exploring Systems of Equations in Word Problems

This video tutorial covers solving word problems using systems of equations. It begins with an introduction to the concept, followed by two examples: one involving running distances and another about mulch delivery costs. The tutorial demonstrates how to set up and solve systems of equations using substitution, providing clear explanations and solutions.

What is the primary focus of the word problems discussed?

• Quadratic equations

• Single-variable algebraic expressions

• Systems of equations

• Trigonometric functions

How many miles does Kyle start with before increasing his distance weekly?

• 7 miles

• 5 miles

• 10 miles

• 12 miles

What is the weekly distance increase for Darcy?

• 1 mile

• 4 miles

• 2 miles

• 3 miles

What mathematical method is used to solve the systems of equations in the examples?

• Graphing

• Substitution

• Elimination

• Matrix method

After how many weeks will Kyle and Darcy be running the same distance?

• 3 weeks

• 4 weeks

• 5 weeks

• 6 weeks

What will be the total running distance for both Kyle and Darcy after they meet the condition?

• 15 miles

• 17 miles

• 20 miles

• 22 miles

What is the delivery fee for the garden company?

• $25

• $30

• $50

• $55

How much does the yard company charge per cubic yard of mulch?

• $25

• $30

• $50

• $55

How many cubic yards of mulch must be purchased for the costs from both companies to be equal?

• 1 cubic yard

• 2 cubic yards

• 4 cubic yards

• 3 cubic yards

What is the total cost for one cubic yard of mulch from both companies?

• $85

• $80

• $75

• $70