Solving Systems of Equations: Graphing, Substitution, and Elimination

The video tutorial covers solving systems of equations using graphing, substitution, and elimination methods. It includes practical examples such as cost comparisons for music apps, clothing purchases, bake sales, pizza shops, and bowling. Each problem is solved using different methods to demonstrate that all strategies yield the same solution.

Which method is best used when equations are in slope-intercept form?

• Graphing

• Substitution

• Elimination

• None of the above

What is the primary condition for using substitution in solving systems of equations?

• Equations in standard form

• At least one equation is x equals or y equals

• Opposite coefficients

• Identical coefficients

In the music app cost comparison, what does the slope represent?

• Number of songs downloaded

• Total cost

• Cost per song download

• Initial app cost

How many t-shirts did Autumn buy?

• 8

• 16

• 12

• 4

What method is used to solve the system of equations for the t-shirts and sweatpants problem?

• Graphing

• Substitution

• Elimination

• None of the above

How many cookies did Nathan buy at the bake sale?

• 7

• 3

• 4

• 11

Which pizza shop becomes cheaper with more than two toppings?

• Both are the same

• Nathan's Pizza Shop

• Neither

• Olivia's Pizza Shop

At what point do the costs of playing one game of bowling become equal for Nathan and Olivia?

• 1 game

• 4 games

• 2 games

• 3 games

What does the y-intercept represent in the context of the bowling game cost?

• Total cost

• Cost per game

• Shoe rental cost

• Number of games played

In the context of the pizza topping problem, what does the slope represent?

• Total cost of the pizza

• Cost per topping

• Number of toppings

• Base cost of the pizza