Systems of Equations Test Review

When you graph the exact same equation twice,

• you will have no solution. 
• you will have one solution.
• you will have infinite solutions. 
• you will graph a giraffe. 

What is the solution to this system?

• (1, -1)
• (-1, 1)
• (0, -2)
• (2, 0)

How many solutions will this system have? 

• No solution
• One Solution
• I Don't Know
• Infinitely Many Solutions

If a system of linear equations has one solution, what does this mean about the two lines? 

• Parallel lines
• the same line 
• Intersecting lines

Based on the equations for each line, determine how many solutions the system would have.

y=5x+3

y=5x-2

• Infinite Number of Solutions

• No Solution

• One Solution

Which is the correct substitution?

x = -2y + 4

-5x + 4y = 8

• -5x + 4(-2y + 4) = 8

• -5(-2y - 4) + 4y = 8

• -5(-2y + 4) + 4y = 8

• -2y + 4 + 4y = 8

Which option correctly substituted the following Systems of Equations?

y = -3x + 19

3x - 2y = -2

• 3(-3x + 19) - 2y = -2

• 3x + 2(-3x + 19) = -2

• 3x - 2(-3x+19) = -2

• 3x - (-3x + 19) = -2

We know x = 4 for the following System of Equations:

y = -3x + 19

3x - 2y = -2

Now Solve for y.

• y = -7

• y = 7

• y = -31

• y = 31

Use Substitution to find the solution:

y = 4x + 2

y = 2x +4

• (1,6)

• (1,1)

• (6,1)

• (6,6)