Unit 3 Test Retake

Multiple Choice

What is the solution?

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

​EXAMPLE

​Which ordered pair satisfies the equations?

3x + 2y = 16 and y = -7x + 19​

​A (4,2)

B (2,5)​

Multiple Choice

Solve for the x value

$$y=2x$$

$$-3y+2x=-20$$

• x=10

• $$x=-\frac{5}{2}$$

• x=5

• x=-5

​EXAMPLE with a System of Equations

​(a System of Equations is just more than one equation)

​RED LINE

​BLUE LINE

​What point do you think works for BOTH equations?

Multiple Choice

What is the solution to this system of equations (flip your whiteboard over and draw your graphs)

$$y=-2x+2$$

$$y=x-4$$

• (2,-2)

• (0,2)

• No Solution

• Infinitely Many Solutions

Solving systems using elimination

Multiple Choice

Solve for y

$$-3x+y=20$$

$$x-y=-2$$

• y=-11

• y=-8

• y=-7

• y=4

Multiple Choice

Solve for x

$$x-y=-1$$

$$-8x+7y=-1$$

• x=-10

• x=1

• x=8

• x=10

Multiple Choice

How many solutions will there be?

$$y=3x+2$$

$$y=3x-8$$

• No Solution

• One Solution

• Two Solutions

• Infinitely Many Solutions

Multiple Choice

How many solutions will there be?

$$y=-x+2$$

$$y=-x+2$$

• No Solution

• One Solution

• Two Solutions

• Infinitely Many Solutions

What do you notice about the equation?

​ 3x + 4y = 12

Graphing

Graph the equation:

$$2x-3y=6$$