Mastering Systems of Equations

Which of the following is the solution to the system of equations below?

x = 2y + 1

y = 4

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What does the intersection point of two lines on a graph represent?

• The sum of the slopes

• The solution to the system of equations

• The y-intercept of both lines

• The midpoint between the lines

Tags

CCSS.8.EE.C.8B

Solve the following system by substitution:

x + y = 6

x = 2

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Which of the following systems has no solution?

Tags

CCSS.8.EE.C.8B

What is the first step when solving the system below by elimination? \[ \begin{cases} 2x + y = 7 \\ x - y = 1 \end{cases} \]

• Add the two equations

• Subtract the second equation from the first

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

If two lines on a graph never intersect, what does this mean about their system of equations?

• There are infinitely many solutions

• There is exactly one solution

• There is no solution

• The lines are perpendicular

Tags

CCSS.8.EE.C.8A

Solve the following system by elimination:

x + y = 5

x - y = 1

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

How do you set up the system below to solve by substituion?

y = x + 1

y = -x + 5

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

If a system of equations has infinitely many solutions, what can you say about the graphs of the equations?

• The lines are parallel

• The lines intersect at one point

• The lines are the same

• The lines are perpendicular

Tags

CCSS.8.EE.C.8A

What do you do in #6?

• y

• Divide by

• -12

• Eliminate

• x

• Solve for...

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6