LC 6A Review

What does a "solution to a system of equations" mean?

• It's the point where both equations equal zero

• It's the point where graphs of both equations cross the y-axis

• It's the point that is true for both equations at the same time

• It's the point where graphs of both equations cross the x-axis

Tags

CCSS.8.EE.C.8B

Is (1,3) a solution to this system? (Hint: test the x and y values in both equations to see if they work.)

y = 2x + 1

y = 4x - 1

• Yes

• No

The solution is:

• (4, 3)
• (3, 4)
• (-4, 3)
• No solution

Tags

CCSS.8.EE.C.8B

When one equation graphs to be the same as the second equation...

• you will have no solution.

• you will have one solution.

• you will have infinite solutions.

• you will graph a giraffe.

Tags

CCSS.8.EE.C.8A

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

Which system of equations does the graph represent?

• y = -x + 2

  y = x + 4

• y = x + 2

  y = -x + 4

• y = x - 2

  y = x - 4

• y = -x - 2

  y = -x - 4

Tags

CCSS.8.EE.C.8B

Which answer has a correct first step for solving this system without graphing:

3x + 3y = 3

y = 3x + 5

• The variable is already isolated, so we've already solved the system.

• The variable is already isolated for y, so we substitute it in the first equation and solve for x

  3x + 3(3x + 5) = 3

• Free sha vaca doo

• The variable is already isolated for y, so we substitute it in the second equation and solve for x

  y = 3(3x + 3y) = 3

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the following systems of equations using substitution:

5x - 2y = 3

y = 2x

• (6, 3)

• (1, 2)

• (3, 6)

• (2, 1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

When solving a system of equations algebraically, which statement results in infinite solutions?

• 4 = 7

• 2 = 2

• -3 = 3

• all of the above

Tags

CCSS.8.EE.C.8B

Homer sells adult (x) and student (y) tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for students. He sold 21 tickets total. Which system of equations represents this situation?

• x + y = 21

  6x + 4y = 104

• x - y = 21

  4x + 6y = 104

• x + y = 104

  6x + 4y = 21

• x - y = 104

  4x + 6y = 21

Tags

CCSS.HSA.CED.A.3