HA2: Systems of Equations, Linear Review

HA2: Systems of Equations, Linear Review

​

Fill in the Blanks

Multiple Choice

Ex 1: State the solution(s) of each system from the graph. Write each solution as an ordered pair

• No solution

• Infinite Solutions

• (-1,3)

• (3,-1)

• (1,-3)

Solve by Substitution

• Write an equation as x= or y=

• Substitute equivalent value into the other equation

• Substitute known variable into an original equation to get ordered pair.

Solve by Linear Combinaton

Multiple Choice

Solve the system using either substitution or linear combination.

 $-3x+5y=12$  

 $6x-10y=-24$  

• No Solution

• Infinitely Many Solutions

Multiple Choice

Solve the system using either substitution or linear combination.

 $6x-3y=3$  

 $2x-y=4$  

• No Solution

• Infinitely Many Solutions

Multiple Choice

Solve the system using either substitution or linear combination.

 $y+2x=5$  

 $-4x-3y=2x-15$  

• No Solution

• Infinitely Many Solutions

Multiple Choice

If  $x+y=6$   and $\frac{y}{x}=3$  then x is equal to...

• 2/9

• 2/3

• 3/2

• 5/2

• 9/2

Multiple Choice

 If the equations are true, which of the following is the value of y+z? $3x+2y+2z=19$  

 $3x+y+z=14$ 

• -5

• -4

• 0

• 4

• 5

Multiple Choice

Checkpoint #2

There are 320 students going on a field trip. They can rent buses that hold 30 students and vans that hold 12. Buses cost $140 to rent and run while vans only cost $50. There are only enough chaperones to take 15 vehicles and $1500 was raised to fund the trip. Choose the system that represents the situation.

•  $140x+50y=1500$  
   $30x+12y=320$  
   $x+y=15$  

• 
   $30x+12y=1500$  
   $140x+50y=15$  
   $x+y=320$  
  
  

•  $140x+50y=1500$  
   $12x+30y=320$  
   $x+y=15$  
  

•  $140x+50y=320$  
   $12x+30y=1500$  
   $x+y=15$  
  

More Practice

If you would like more practice, problems will be posted in classroom under "Systems Material"

Practice for this lesson, #'s 1-11.