Exploring Standard Form Word Problems

Mr. Newman introduces standard form word problems, contrasting them with slope-intercept form. He explains the components of the standard form equation and demonstrates solving various word problems, including selling t-shirts and blanket wraps, school play tickets, and more. The video emphasizes identifying rates and totals to set up equations and solve for unknowns.

What is the main difference between standard form word problems and slope-intercept form word problems?

• Standard form involves a starting value and a rate of change.

• Slope-intercept form involves two different items with rates.

• Slope-intercept form does not involve any rates.

• Standard form involves different situations with totals and rates.

In the standard form equation Ax + By = C, what does 'C' represent?

• The slope

• The starting value

• The total

• The rate of change

If a problem involves selling t-shirts and blanket wraps, and t-shirts cost $10 each, what does the '10' represent in the equation?

• The number of blanket wraps

• The total cost of t-shirts

• The total number of t-shirts

• The rate associated with t-shirts

In the problem where the Booster Club sells 14 blanket wraps, what is the value of 'Y'?

• 1000

• 10

• 25

• 14

How many t-shirts must be sold if the Booster Club sells 14 blanket wraps to meet a total of $1000?

• 70

• 65

• 60

• 50

In the school play problem, if adult tickets cost $15 each and student tickets cost $4 each, what is the equation representing the total value of $7000?

• 15X + 4Y = 1000

• 4X + 15Y = 1000

• 4X + 15Y = 7000

• 15X + 4Y = 7000

If 352 adult tickets are sold, how many student tickets must be sold to reach a total value of $7000?

• 450

• 420

• 400

• 430

In the problem involving sandwiches and bottles of water, if no waters are sold, how many sandwiches must be sold to reach a total of $100?

• 15

• 10

• 20

• 25

For a seating party of 150 people, if large tables seat 10 people and small tables seat 6 people, what is the equation representing the total seating?

• 10X + 6Y = 150

• 6X + 10Y = 150

• 10X + 6Y = 100

• 6X + 10Y = 100

If a movie theater sells 252 tickets at $10 each, how many boxes of popcorn must be sold at $6 each to reach a total of $3000?

• 85

• 80

• 75

• 70