Solving Real-World Problems with Standard Form Linear Equations

What is the standard form of a linear equation?

• ax + by = c

• y = mx + b

• y = ax^2 + bx + c

• ax^2 + bx + c = 0

In the first problem, what does the variable 'x' represent?

• Hourly rate

• Group lessons

• Total earnings

• Individual lessons

What is the x-intercept of the equation 10x + 25y = 1000?

• 10

• 40

• 25

• 100

What is the y-intercept of the equation 10x + 25y = 1000?

• 10

• 25

• 40

• 100

In the second problem, what is the cost of one t-shirt?

• $6

• $12

• $9

• $4.50

What is the total amount of money available to spend in the second problem?

• $96

• $72

• $108

• $54

What is the x-intercept of the equation 4.5x + 6y = 108?

• 6

• 18

• 24

• 12

What is the y-intercept of the equation 4.5x + 6y = 108?

• 18

• 24

• 12

• 6

What is the slope of the equation 4.5x + 6y = 108?

• 4/3

• -4/3

• 3/4

• -3/4

Which of the following points is a valid combination for the equation 4.5x + 6y = 108?

• (4, 15)

• (10, 8)

• (6, 12)

• (8, 10)