Graphing Systems of Equations Challenge

What is the main focus of Chapter 6, Lesson 1?

• Graphing quadratic equations

• Understanding inequalities

• Graphing systems of equations

• Solving equations algebraically

When two lines have different slopes, how many solutions do they have?

• No solutions

• One solution

• Infinitely many solutions

• Two solutions

If two lines have the same slope but different y-intercepts, what can be said about the number of solutions?

• One solution

• Infinitely many solutions

• No solutions

• Two solutions

What does it mean if two lines are consistent and dependent?

• They have no solutions

• They are parallel

• They have infinitely many solutions

• They have one solution

What is the first step in solving the equation y = 2x + 3 by graphing?

• Find the y-intercept

• Find the slope

• Plot the points

• Rewrite in y = mx + b form

If two lines have the same slope and the same y-intercept, what is true about their solutions?

• No solutions

• One solution

• Infinitely many solutions

• Two solutions

What is the slope of the line represented by the equation 2y + 3x = 6?

• -3/2

• 1

• -1

• 3/2

How do you determine if a system of equations is inconsistent?

• The lines intersect at one point

• The lines are parallel

• The lines are the same

• The lines intersect at multiple points

What is the y-intercept of the line y = 2x + 3?

• -2

• -3

• 3

• 2

What is the result when you solve the system of equations y = 2x + 3 and y = 2x + 3?

• No solutions

• Infinitely many solutions

• One solution

• Two solutions