Review Systems by Graphing and Substitution Method

How many solutions does the graph have?

• One solution

• No solution

• Infinite solutions

The first step in solving a system of equations using the SUBSTITUTION METHOD is __________.

(Read all the answers before choosing one.)

• get x by itself

• get y by itself

• get EITHER x or y by itself

• add the equations together

Which answer has a correct next step for this system? (Read all three answers carefully before selecting one!)

• The variable is already isolated, so we've already solved the system.

• The variable is already isolated for y, so we substitute it in the second equation like this:

  2(6x) + 5y = 32

• The variable is already isolated for y, so we substitute it in the second equation like this:

  2x + 5(6x) = 32

Use the system of equations below to answer the question. After substituting the first equation into the second one and working it out, I got x = 1. What should I do next?

• Fill in 1 for x in y = 6x

• Fill in 1 for y in y = 6x

• Fill in 1 for y in 2x + 5y = 32

• A
• B
• C
• D

• A
• B
• C
• D

What is the solution to this system of equations? Solve by substitution or graphing.

• (7, -8)

• (-7, 8)

• (-7, -8)

• (7, 8)

The two tables represent the values that correspond to a system of linear equations. What s the solution to this system of linear equations?

• (0, 2)

• (-2, 6)

• (-1, -5)

• (1, 0)

What are the solutions to the graphed system?

• (1.5,0) and (3.5,0)

• (-0.5,1) and (2,4)

• (-0.5,1.5) and (1.5,3.5)

• (-1,1) and (2.5,3.5)

What are the solutions to the graphed system?

• (0,-2) and (1,3)

• (-2,0) and (2,0)

• (0,-2) and (3,1)

• (2,2) and (1,0)