Exploring Standard Form in Mathematics

What is the standard form of a linear equation?

• ax + by = c

• y = mx + b

• ax^2 + bx + c = 0

• y - y1 = m(x - x1)

In the standard form of a linear equation, which of the following is true about constants A and B?

• A and B must be negative

• A and B must be positive

• A and B cannot both be zero

• A and B can both be zero

In the example of Hannah's budget for music festival tickets, what does the constant C represent?

• The number of reserved tickets

• The number of general admission tickets

• The cost of one reserved ticket

• The total budget

If reserved tickets cost $25 each and general admission tickets cost $10 each, what is the equation representing Hannah's budget of $150?

• 25x + 10y = 150

• 10x + 25y = 150

• 25x + 10y = 100

• 10x + 25y = 100

How do you find the x-intercept of the equation 2x + 4y = 8?

• Set the equation equal to zero

• Set both x and y to zero

• Set y to zero and solve for x

• Set x to zero and solve for y

What is the x-intercept of the equation x + 5y = 10?

• 10

• 2

• 0

• 5

What type of line is represented by the equation y = 3?

• Diagonal line

• No line

• Horizontal line

• Vertical line

If the equation is 3x = -6, what type of line does it represent?

• No line

• Diagonal line

• Horizontal line

• Vertical line

Why does the graph of Hannah's budget only show the first quadrant?

• Because the number of tickets and money cannot be negative

• Because the graph is incomplete

• Because only positive values are allowed in standard form

• Because the graph is incorrect

If Hannah buys 2 reserved tickets and 10 general admission tickets, how much will she spend?

• $50

• $200

• $100

• $150