Simultaneous Linear Equations

The graph models the linear relationship between the charge for a trip and the number of miles driven for two taxis.

Based on the graph, which statement appears to be true?

• The charge for a trip with a distance of 5 miles is $5 greater for Taxi 1 than for Taxi 2.

• The charge for a trip with a distance of 5 miles is $5 less for Taxi 1 than for Taxi 2.

• The charge for a trip with a distance of 5 miles is $20 for both Taxi 1 and Taxi 2.

• The charge for a trip with a distance of 5 miles cannot be determined for either Taxi 1 or Taxi 2.

Tags

CCSS.8.EE.B.5

The two lines graphed on the coordinate frid each represent an equation.

Which ordered pair represents a solution to both equations?

• (-4, 0)

• (-3, 3)

• (3, -3)

• (0, 4)

Tags

CCSS.8.EE.C.8B

Frank and Erica are selling ribbons to raise money for the football team. The graph shows the linear relationship between the number of ribbons each of them has left to sell and the number of days that they have been selling ribbons.

On which day does it appear that Frank and Erica will have the same number of ribbons left to sell?

• Day 15

• Day 48

• Day 33

• Day 18

Answer explanation

The solution is the point of intersection and since they are asking for the number of days you should choose the x-coordinate of the point of the intersection.

Tags

CCSS.8.EE.C.8C

How many solutions?

• One Solution
• No solution
• Infinitely Many Solutions

Tags

CCSS.8.EE.C.8A

If a system of linear equations has one solution, what does this mean about the two lines? 

• Parallel lines
• the same line 
• Intersecting lines

Tags

CCSS.8.EE.C.8A

• (2, -2)
• (2, 2)
• (-2, 2)
• (-2, -2)

Tags

CCSS.8.EE.C.8A

• (2, 0)
• (-2, 0)
• (0, 2)
• (0, -2)

Tags

CCSS.8.EE.C.8A

The two lines graphed on the coordinate grid each represent an equation.

Which ordered pair represents a solution to both equations?

• (-4, 0)

• (-2, 1)

• (0, -4)

• (1, -2)

Tags

CCSS.8.EE.C.8B

The two lines graphed on the coordinate grid each represent an equation.

Which ordered pair represents a solution to both equations?

• (2, 0)

• (0, 2)

• (-2, 0)

• (0, -2)

Tags

CCSS.8.EE.C.8B

Where do these two lines intersect?

• (-3, 2)

• (-2, 3)

• (3, -2)

• (2, 3)

Tags

CCSS.8.EE.C.8B