Understanding Linear Equations and Graphing

What is the simplest form of a linear function?

• f(x) = 1/x

• f(x) = x^2

• f(x) = x

• f(x) = 2x + 3

What is the domain of a linear function?

• All negative numbers

• All positive numbers

• Only integers

• All real numbers

How do you solve the equation 0 = 12x + 3 algebraically?

• Subtract 3 from both sides

• Multiply by 12

• Add 3 to both sides

• Divide by 12

What is the graphical representation of a linear function?

• A circle

• A curve

• A line

• A parabola

What indicates that a linear equation has no solution when solved algebraically?

• The equation has a variable on one side

• The equation simplifies to a false statement like 5 = 3

• The equation simplifies to 0 = 0

• The equation has a constant on one side

What does a horizontal line that does not cross the x-axis indicate?

• The equation has no solution

• The equation has infinite solutions

• The equation is undefined

• The equation has one solution

In the context of selling greeting cards, what does the zero of the function represent?

• The profit made

• The total cost of the cards

• The number of cards sold

• The break-even point

How many cards must be sold to start making a profit?

• 70 cards

• 66 cards

• 60 cards

• 50 cards

What is the profit function for selling greeting cards?

• y = 115 - 1.75x

• y = 115x - 1.75

• y = 1.75x - 115

• y = 1.75x + 115

What happens when the profit function crosses the x-axis?

• The profit is zero

• The profit is positive

• The profit is negative

• The profit is undefined