Introduction to Systems of Equations

Multiple Choice

Which graph represents $$y=-\frac{3}{2}x+4$$  

Multiple Choice

Give the equation for the graph

• y = 5x - 3
• y = 4x + 2
• y =-2x + 5
• y = - 2x + 4

Multiple Choice

Which two equations represent the tables?

Fill in the Blanks

Write the linear equation.

Multiple Choice

What is the x- intercept of the graph of 3x+4y=24

• 12
• 8
• -12
• -8

Multiple Choice

What is the y-intercept of the graph of 3x+4y=24

• -6
• 6
• 15
• -15

Multiple Choice

Which graph represents 2x + 4y = 12?

Multiple Choice

You are trying to decide between two companies to cater your party. One company chargers $18 per plate with a deposit of $300. The second company charges $22 per plate with a deposit of $200.

Which system of equations represents how many guests would you need to invite for the two companies to be the same price?

• $$y=18+300x$$  

  $$y=22+200x$$  

• $$y=18x+300$$  

  $$y=22x+200$$  

• $$y=18x-300$$  

  $$y=22x-200$$  

• $$y=18x+200$$  

  $$y=22x+300$$  

Multiple Select

Choose the two correct answers to describe this system of equations.

• No Solution

• Infinitely Many Solutions

• One Solution

• Consistent System

• Inconsistent System

Multiple Select

Choose the two correct answers to describe this system of equations

• One Solution

• No Solution
• Infinitely Many Solutions
• Consistent System

• Inconsistent System

Multiple Select

Choose the two correct answers that describe this system of equations.

$$y=-2x+4$$

$$y=3-2x$$

• Infinite solutions

• No solution

• One solution

• Consistent System

• Inconsistent System

Multiple Choice

$$y=2x+6$$

$$y=3x-4$$

(3, 5)

• The ordered pair is a solution for both equations.

• The ordered pair is only a solution to the first equation.

• The ordered pair is only a solution to the second equation.

• The ordered pair is not a solution to either equation.

Multiple Choice

$$x-y=1$$

$$-4x+3y=5$$

(-8, -9)

• The ordered pair is a solution to both equations.

• The ordered pair is only a solution to the first equation.

• The ordered pair is only a solution to the second equation.

• The ordered pair is not a solution to either equation.

Multiple Choice

What point is a solution to the system of equations below?

3x + 2y = 16

7x + y = 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)

Multiple Choice

What is the solution?

• (1, -1)

• (-1, 1)

• (0, -2)

• (0, 1)

Multiple Choice

Alex and Billy are running laps. According to the graph, how long will it take for the two boys to run the same distance?

• 20 minutes
• 15 minutes
• 10 minutes
• 5 minutes

Multiple Choice

The population growth of two towns over a period of five years is represented by the system of equations below.

​y=x+6

y=2x+2

When will the two towns have the same population?

• In 2 years they will both have 5,ooo people.

• In 4 years, they will both have 10,000 people.

• In 6 years they will both have 2,000 people.

• In 10 years they will both have 4,000 people.

Fill in the Blanks

What is the solution to the system of equations represented by the tables?