QUIZ: Systems of Equations using Graphing & Substitution

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

Solve the system by substitution. 
-5x - 4y = -9
y = 6

• (3, 6)
• (6, -3)
• (-3, 6)
• (6.8, 3)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system by substitution. 
y = 2x − 11 
2x − 8y = 4 

•  (6, 1)
• (6, −4)
• (6, −1)
• Infinite number of solutions  

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve:
x = -3y - 17
2x + 3y = -7

• (1, -20)
• (3, 0)
• (-5, -2)
• (10 , -9)

Tags

CCSS.HSA.REI.C.9

Solve the system:
3x + y = 19
2x - y = 6

• (5, 14)
• (4, 5)
• (5, 4)
• (14, 5)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What would the first line of work look like if you're solving this system using Substitution?

y = 6x − 11

−2x − 3y = −7

• -2(-11) -3y= -7

• -2(6x-11) -3y = -7

• -2x -3(11) = -7

• -2x - 3(6x-11)= -7

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Which graph represents a system of equations with infinite solutions?

• 
• 
• 
• None of the above

Tags

CCSS.8.EE.C.8A

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

4.) Solve the following system of equations by graphing. $y=-\frac{1}{4}x-4$  
 $y=\frac{5}{4}x+2$  

• (-4,-3)

• (4,7)

• No solution

• Infinite Solutions
  

Tags

CCSS.8.EE.C.8B

 7.) Solve the following by substitution

 $x=-8y-15$ 

 $7x+8y=-9$  

• Infinite solutions

• No solutions

•  $\left(-1,\frac{1}{4}\right)$  

•  $\left(1,-2\right)$  

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6