Systems of Equations--mixed review

When you graph the exact same equation twice,

• 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 linear equations has one solution, what does this mean about the two lines? 

• Parallel lines
• the same line 
• Intersecting lines

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Solve by graphing. (Graph on your scratch paper!)

y = 2x + 1

y = 4x - 1

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)

Solve the following system by graphing. What is the solution? (Graph on your scratch paper!)

• (3, -1)

• (-1, -3)

• (-1, -1)

• (-1, 3)

Solve using SUBSTITUTION: (Show your work on scratch paper!)

y = -1x - 5

4x - 8y = 4

• (-3, -2)

• (5, -7)

• (3, 9)

• (-5, 4)

What is the solution to the system?

Solve using ELIMINATION. (Show your work on scratch paper!)

x - 2y = 2

3x + 4y = 3

• (1.4, -0.3)

• (3.1, 5)

• (-2.5, 3.5)

• (6.9, 1.02)

There are 50 donkeys and chickens on a far.  There are a total of 174 legs.  Which system below can be used to figure out how many of each animal the farm has?

• d + c = 174
  4d + 2c = 50
• d + c = 50
  4d + 2c = 174
• d + c = 50
  2d + 4c = 174
• d + c = 174
  2d + 4c = 50

Tags

CCSS.8.EE.C.8C

Solve using ELIMINATION. (Show your work on scratch paper!)

3x + 2y = 16

7x + y = 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)

Solve using SUBSTITUTION. (Show your work on scratch paper!)

x-2y=1

x+4y=7

• (3, 1)

• (-1, -1)

• (1, 3)

• (4, 1)

Homer sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. He sold 21 tickets total.

Write and solve a system of equations using either substitution or elimination. (Show your work on scratch paper!)

• (10, 11)

• (12, 9)

• (11, 10)

• (9, 12)