REVIEW- Module 8- Systems of Equations

Determine if (4, 1) is a solution for the system of equations.

y = -x + 5

y = 2x - 7

Hint: Plug the x and y values into each equation to see which one satisfies both equations.

• yes

• no

Answer explanation

Plug the x and y values into each equation to see which one satisfies both equations.

Which point satisfies the system of equations?

y = 3x – 7

y = –2x + 5

A.    (–5.8, 0.4)                                   C.      (2.4, 0.2)

B.    (–2.4, –0.2)                                 D.     (5.8, –0.4)

• A

• B

• C

• D

Answer explanation

Plug the x and y values into each equation to see which one satisfies both equations.

Noah, Marina, and Paola are solving the system of equations.

y = 6x + 3

y = 2x

Noah’s  solution is (-2 1/4, 3/4 ) , Marina’s solution is (-3/4, -1 1/2), and Paola’s solution is (1/2, 3/4) . Which student’s solution satisfies the system of equation?

• Noah's

• Marina's

• Paola's

Answer explanation

Plug the x and y values into each equation and see which ordered pair satisfies both equations.

What is the solution to the system on the graph?

• (-2, 1)

• (2,-1)

• (-2, -1)

• (2,1)

What is the solution to the system?

• (0, 3)
• (1, -1)
• (-3, 1)
• (1, 3)

Tags

CCSS.8.EE.C.8B

Solve the following system by graphing.  What is the solution?

• Infinite number of solutions
• (3, 3)
• (3, -3)
• (-3, 3)

Solve the following system by graphing.  What is the solution?

Remember: If the graph is not big enough, do the complete opposite.

• (1, 2)

• (-1, 2)

• (2, 1)

• (2, -1)

What is the solution to the system on the graph?

• One solution

• No solution

• Infinitely many solutions

What is the solution to the system on the graph?

• (0,1)

• No solution

• Infinitely many solutions

How many solutions does the system have?

• No Solution

• One Solution

• Infinite Solutions