Graphing Linear Equations: Key Concepts and Techniques

What is a linear function?

• A function that forms a circle when graphed

• A function that forms a straight line when graphed

• A function that forms a curve when graphed

• A function that has no graph

What happens to the parent function f(x) = x when you add 3 to it?

• It shifts up by 3 units

• It shifts down by 3 units

• It shifts right by 3 units

• It shifts left by 3 units

What is the domain of the parent function f(x) = x?

• All negative numbers

• All integers

• All positive numbers

• All real numbers

When solving the equation 1/2x + 3 = 0 algebraically, what is the value of x?

• -3

• 3

• -6

• 6

What is the first step in solving the equation 1/3x + 1 = 0 graphically?

• Multiply both sides by 3

• Subtract 1 from both sides

• Divide both sides by 3

• Add 1 to both sides

What is the solution to the equation 1/3x + 1 = 0 when solved graphically?

• x = 3

• x = -3

• x = 1

• x = -1

What does it mean if the graph of an equation does not touch the x-axis?

• There is one solution

• There are infinite solutions

• There are two solutions

• There is no solution

In the equation 2x + 5 = 2x + 3, what does it mean when you get 5 = 3 after simplifying?

• There are infinite solutions

• There is no solution

• There are two solutions

• There is one solution

What is the profit equation for Kendra's class selling greeting cards?

• y = 1.75x - 150

• y = 1.75x + 150

• y = 1.75x + 115

• y = 1.75x - 115

How many greeting cards need to be sold to make a profit?

• 60

• 50

• 65

• 55