08May_QUIZ: Solving systems with substitution

How many equations are in a system of equations?

• 1
• 2
• 3
• Infinitely many

Tags

CCSS.8.EE.C.8B

What does
"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 solves 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

What are the possible solutions to a system of equations?

• Either 1 or 2 points
• No more than 10
• No less than 10
• Either 0, 1, or infinitely many points

Tags

CCSS.8.EE.C.8B

How many solutions does this system have? And why?

• Infinitely many because they are parallel and never cross
• None because they are parallel and never cross
• One because math, and all lines cross sometime
• Can't tell without seeing the equations

Tags

CCSS.8.EE.C.8A

What can you tell from just looking at these equations?

• They have different y-intercepts, so this system has 1 solution
• Both equations have 4x, so this system has infinitely many solutions
• Both equations have a y, so they'll cancel each other out
• Both equations have the same slope, so they are parallel

Tags

CCSS.8.EE.C.8B

What's the first step in turning this equation from standard form to slope-intercept form:
2x + 3y = 12

• Divide everything by 3
• Add 2x + 3y to get 5xy
• Subtract 2x from both sides
• Subtract 12 from both sides

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Solve this system of equations using a graphing calculator:
y = 3x + 3
y = -2x -2

• (-1, 0)
• (1, 0)
• (0, -1)
• (0, 1)

Tags

CCSS.8.EE.C.8B

Solve this system using substitution:
3x + 4y = 15
y = 3

• (3, 1)
• (4, 3)
• (3, 4)
• (1, 3)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Jess correctly graphs a system of equations on her calculator but sees only one line as a result. What does this mean?

• The system has one solution
• The system has no solutions
• The system has infinite solutions
• The calculator's broken

Tags

CCSS.8.EE.C.8A

Solve this system of equations:
2x + 2y = 12
y = 2x

• (2, 2)
• (3, 6)
• (4, 2)
• (2, 4)