MAKE UP Unit TEST: Systems of Equations ALG 1A

If a system of linear equations has infinitely many solutions, what does this mean about the two lines?

• Intersecting lines

• Identical lines

• Parallel lines

Tags

CCSS.8.EE.C.8A

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

• Parallel lines
• the same line 
• Intersecting lines

Tags

CCSS.8.EE.C.8A

The solution (x, y) to a system of equations is the point where they...? 

• Run off the graph
• Don't touch
• Intersect
• Exist

Tags

CCSS.8.EE.C.8B

a method to solving a system of equations by getting rid of one of the variables first to solve for the other variable. 

• Systems by Graphing
• Systems by Substitution
• Systems by Elimination
• Systems by Drawing

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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

Tags

CCSS.8.EE.C.8B

Identify which method for solving systems is being described by this fact:

The intersection point of the two lines is an ordered pair (x, y) and determines the value of the solution to the system of equations.

• Graphing

• Substitution

• Elimination (adding or multiplying)

Tags

CCSS.8.EE.C.8B

What variable do you eliminate?

4x + 8y = 20

−4x + 2y = −30

• X because they have opposite signs

• Y because they have opposite signs

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system given:
3x - y = 7
2x + y = 3

• (-1,2)
• (5,4)
• (4,5)
• (2,-1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve by elimination:

4x + 8y = 20

−4x + 2y = −30

• (-1, 7)

• (-7, 1)

• (7, -1)

• (1, -7)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve for x and solve for y
3x  - 3y = 33
6x - 3y = 57

• (8,-3)
• (-3,8)
• (10,1)
• (10,-1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6