Modeling With Systems of Equations

The senior classes at High School A and High School B planned separate trips to New York City. The senior class at High School A rented and filled 1 van and 6 buses with 372 students. High School B rented and filled 4 vans and 12 buses with 780 students. Each van and each bus carried the same number of students.

Write the equations needed to solve the problem: (8.EEI.C.8d)

Tags

8.EEI.C.8.d

8.EEI.C.8d

Kai and Nora are trying to solve a system of two linear equations but they find that there are no solutions. What can they conclude about the graphs of the two equations they are trying to solve? (8.EEI.C.8c)

• The lines representing the equations have the same slope and the same y-intercept.

• The lines representing the equations have the same slope and different y-intercepts.

• The lines representing the equations have different slopes and the same y-intercept.

• The lines representing the equations have different slopes and different y-intercepts.

Tags

8.EEI.C.8.c

The senior classes at High School A and High School B planned separate trips to New York City. The senior class at High School A rented and filled 1 van and 6 buses with 372 students. High School B rented and filled 4 vans and 12 buses with 780 students. Each van and each bus carried the same number of students. How many students can a van carry? (8.EEI.C.8d)

Tags

8.EEI.C.8.d

The senior classes at High School A and High School B planned separate trips to New York City. The senior class at High School A rented and filled 1 van and 6 buses with 372 students. High School B rented and filled 4 vans and 12 buses with 780 students. Each van and each bus carried the same number of students. How many students can a bus carry? (8.EEI.C.8d)

Tags

8.EEI.C.8.d

Anika, Aiden, and Elijah are trying to determine the number of solutions for a system of equations they encountered while studying. The equations are as follows: y=\frac{2}{3}x-6 y=\frac{2}{3}x+3 How many solutions does this system have, and why?

• There are no solutions because the slopes and y-intercepts are the same.

• There are infinitely many solutions because the slopes and y-intercepts are the same.

• There are no solutions because the slopes are the same and the y-intercepts are different.

• There are infinitely many solutions because the slopes are the same and the y-intercepts are different.

Tags

8.EEI.C.8c

Tags

8.EEI.C.8b

Tags

8.EEI.C.8b

Solve the system of equations using substitution, elimination, or inspection. Mark if the system will have one solution, no solution, or infinitely many solutions and justify your reasoning. (8.EEI.C.8b) y=\frac{1}{2}x-1;\ y=3x+2

Tags

8.EEI.C.8b

Jerry buys gray modeling clay and pink modeling clay. Gray modeling clay cost $4 per pound. Pink modeling clay costs $5 per pound. Jerry orders a total of 14 pounds of modeling clay for $60. To represent this situation, Jerry writes the system of equations shown (8.EEI.C.8b). Graph the linear equations on page 4 of the paper test.

Tags

8.EEI.C.8b

• 10

• 4

• 5

• 6

• 7

• 8

• 9

• 3

• 2

Tags

CCSS.8.EE.C.8C