Pair of Linear Equations in Two Variables

Graphically, the pair of equations 6x – 3y + 10 = 0 , 2x – y + 9 = 0 represents two lines which are

• intersecting at exactly one point
• intersecting at exactly two points.
• coincident. 
•  parallel.

Tags

CCSS.8.EE.C.8B

y=x-9

y=-4x

• x=7

  y=1.8

• x=7.2

  y=1.8

• x=1.8

  y=-7.2

• x=1.88

  y=7.2

Write an equation in Standard Form.
A store sells t-shirts for $12 each and sweatshirts for $15 each. You plan to spend $120 on t-shirts and sweatshirts.

• 2x + 5y = 120
• 12x + 15y = 120
• 12 + 15y = 2x
• 12x + 15 = 120

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

What is the solution(s) for the following intersection of two lines? 

• (-1,-1)
• (-1,1)
• (1, 1)
• (1, -1)

Tags

CCSS.8.EE.C.8A

Solve the Simultaneous Equations:
x + y = 5
x - y = 1

• x=2, y=3
• x=3, y=2
• x=3, y=-2
• x=-3, y=2

What is the solution?

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

Solve and find the value of k for the following simultaneous equations:

3h − k = 2

2h + k = 8

• 2

• 4

• 7

• 10

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is pair of linear equations in two variables?

• a set of two or more linear equations in the same two variables

• a polynomial with three terms

• set of two linear equations in same two variables

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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

• intersecting lines
• parallel lines
• skew lines
• intersecting 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