System of Equations

Use the information given to answer the question. Mr. Boyer draws the lines shown on the graph to represent a system of equations. Which point represents the approximate solution to the system of equations?

• (-2, -2)

• (-2, 2)

• (2, -2)

• (2, 2)

Tags

CCSS.8.EE.C.8B

Use the information given to answer the question. Mr. Boyer draws the lines shown on the graph to represent a system of equations. Sarah argues that if she were given the equations of the lines, she could find another point of intersection algebraically. Is Sarah correct, and why or why not?

• Sarah is correct because the two lines given can intersect in more than one point.

• Sarah is correct because the two lines given can only intersect in one point.

• Sarah is incorrect because the two lines given can intersect in more than one point.

• Sarah is incorrect because the two lines given can only intersect in one point.

Tags

CCSS.8.EE.C.8B

Enter the answer in the space provided. A system of equations is graphed in the coordinate plane. What is the x-value for the solution to the system of equations?

Tags

CCSS.8.EE.C.8B

A teacher graphs a system of equations using the lines shown and asks four students to write down the coordinates representing the solution to the system. The table shows the students’ responses. Based on the graph, which student’s ordered pair represents the solution to the system of equations?

• Angelica

• Fatima

• Nico

• Ralph

Tags

CCSS.8.EE.C.8B

A system of equations is graphed on the coordinate grid shown. Which point represents the solution to the system of equations?

• (-4, -2)

• (-2, -1)

• (0, 0)

• (4, 2)

Tags

CCSS.8.EE.C.8B

The equations and graph of a system of linear equations are shown. 3x + 2y = 12 y = -x + 5 What is the y-coordinate of the solution to the system of linear equations?

• 2

• 3

• 5

• 6

Tags

CCSS.8.EE.C.8B

A system of two linear equations is graphed on a coordinate plane. If the system of equations has no solutions, which graph could represent the system?

• A

• B

• C

• D

Tags

CCSS.8.EE.C.8A

The graph models the linear relationship between the number of twigs two birds each collect to finish their partially made nests and the amount of time that has passed, in minutes. After how many minutes do both birds have the same number of twigs?

• 16 minutes

• 10 minutes

• 9 minutes

• 4 minutes

Tags

CCSS.8.EE.C.8C

The best approximation of the x-value solution is ______ .

• 0

• 2

Tags

CCSS.8.EE.C.8B

The best approximations of the y-value is ___________.

• 0

• 2

Tags

CCSS.8.EE.C.8B