Systems of Equations*

If a system of equations has no solution, what does the graph look like?

• parallel lines

• intersecting lines

• identical lines

• no lines at all

Tags

CCSS.8.EE.C.8A

What is the first step in solving by substitution?

• solve one equation for x or y if it does not already exist

• substitute into the other equation to find remaining variable

• eliminate

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

When you graph the same equation twice, what type of solution do you have?

• one solution

• no solution

• infinite solution

Tags

CCSS.8.EE.C.8B

Solve the system of equations.

y = 4x+1

3x + 2y = 13

• (1,5)

• (0.25,2)

• (5,1)

• no solution

Tags

CCSS.8.EE.C.8B

Does the system have one, none or infinite solutions?

8x + 4y = 12

y = -2x + 3

• (0,3)

• one solution

• no solution

• infinite solutions

Tags

CCSS.8.EE.C.8B

Solve the system of equations:

y=2x

x + y = 9

• (6,3)

• (3,6)

• (-6,-3)

• (-3,-6)

Tags

CCSS.HSA.REI.C.7

Parallel lines never intersect because...

• they have the same slope

• they have the same y-intercept

• they have different slopes

• they have different y-intercepts

Tags

CCSS.HSF-IF.C.7A

What is the first step in solving a system by graphing?

• get x-variable by itself

• write both equations in standard form

• write both equations in slope-intercept form

• compare the slopes in both equations

Tags

CCSS.8.EE.C.8B

How can you tell if a point is a solution to a system?

• it makes the first equation true

• it makes neither equation negative

• it satisfies both equations

What is the value of the y-coordinate of the solution to the system of equations

x-2y=1

x+4y=7

• 1

• -2

• 3

• 4

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6