Solving Systems by Substitution (Basic)

1. You need paper and a writing utensil. If you do not have them, go get them now. You have 30 minutes to complete these questions.

• I have my paper and writing utensil.

  I'm ready. Let's GO!!!!!!

• Not feeling it today so I'm not going to answer these questions.

2. What does the "solution to a system of equations" mean?

• It's the point where both equations equal zero.

• It's the point where graphs of both equations cross the y-axis

• It's the point that makes both equations true.

• It's the point where the graphs of both equations cross the x-axis.

Answer explanation

A solution to the system is the ordered pair that makes both equations true.

3. How many solutions does this graph have?

• One Solution

• No Solution

• Infinitely Many Solutions

• (0, 6)

4. How many solutions does this graph have?

• One solution

• No solution

• Infinitely Many Solutions

• (0, 3)

5. How many solutions does this graph have?

• One solution

• No solution

• Infinitely Many Solutions

• (0, -3)

6. What is the correct first step when solving this system of equations using substitution.

-3x + 4y = 12

x = 2y

• The variable is already isolated so the system is solved.

• One equation has an isolated variable so we can substitute the second equation into the first equation to find the value of y.

• I have no clue and don't see any information in the notes or my examples.

• Solve the top equation for

  y = mx + b

7. Solve the system using substitution.

y = 6

y = 2x - 3

• (6, 6)

• (9, 6)

• (6, 9)

• (9, 9)

8. Solve the system using substitution.

5x - 2y = 3

y = 2x

• (6, 3)

• (1, 2)

• (3, 6)

• (2, 1)

9. When solving a systems of equations by substitution, which statement results in no solution?

• 5 = 9

• 3x = 0

• 2 = 2

• (0, 0)

10. When solving a system of equations using substitution, which statement represents infinitely many solutions?

• 4 = 7

• 2 = 2

• 2x = 0

• (0, 0)