Solving Systems by Graphing and Substitution

The solution (x, y) to a system of equations is the set of numbers that make ...?

• All equations false

• At least one equation true

• All equations true

• At least one equation false

Tags

CCSS.8.EE.C.8B

Solve this system of equations by graphing.

y = 4x - 2

y = -x + 3

• (-2,-1)

• (-1,-2)

• (1,2)

• (2,1)

Tags

CCSS.8.EE.C.8B

^{What is the solution?} 

• 1
• -2
• (1, 2)
• (1, -1)

Tags

CCSS.8.EE.C.8B

These two lines intersect at _____.

• (4, -2)
• (4, 2)
• (-2, 4) 
• No solution

Tags

CCSS.8.EE.C.8A

The ordered pair that satisfies BOTH equations in the system is called the _____________________

• system of equations
• function
• graph
• solution 

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
• same lines

Tags

CCSS.8.EE.C.8A

How many Solutions?

• One Solution
• No solution
• Infinitely Many Solutions
• (0, -1)

Tags

CCSS.8.EE.C.8A

If the solution is infinitely many the lines will ________?

• intersect at exactly one point
• be parallel
• overlap each other
• never exist

Tags

CCSS.8.EE.C.8A

The first step in solving using the substitution method is __________.

• get x by itself
• get y by itself
• get either variable by itself
• add the equations together

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

In 3x + 2y = 10    and    x - 5y = 18, which variable should you isolate first?

• The x in the first equation
• The y in the first equation
• The x in the first equation
• The x in the second equation

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6