HA2: Systems of Equations, Linear Review

HA2: Systems of Equations, Linear Review

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Fill in the Blank

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

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

Fill in the Blank

Solve the system and determine 3x+3y

 $3x+y=18$  

 $x+3y=14$  

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

Fill in the Blank

What must "k" equal if the system below has infinitely many solutions? $2x+3y=6$  

 $kx+9y=18$  

Fill in the Blank

In the system of equations, a and b are constants.  If the system has infinitely many solutions, what is the value of  $\frac{a}{b}$  ? $ax+by=12$  

 $2x+8y=60$  

Fill in the Blank

Given the system has no solution, what does t equal?
Write answer as an improper fraction.
 $5x-3y=7$  

 $4x-ty=10$  

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

Fill in the Blank

At a lunch stand, each hamburger has 50 more calories than each order of fries. If 2 hamburgers and 3 orders of fries have a total of 1700 calories, how many calories does a hamburger have?

Fill in the Blank

The sum of two numbers is 10 and the difference of the numbers is -4. What is the product of the two numbers?

Fill in the Blank

Your family of 6 goes to dinner. Some order chicken for $14 and others order steak for $17. The total bill was $99. How many people ordered the chicken dinner?

Fill in the Blank

Ms. Seo and Ms. Gjini go to Taco Bell for lunch. Ms. Seo orders 3 soft tacos and 3 burritos for a total of $11.25. Ms. Gjini's bill is $10 for 4 soft tacos and 2 burritos. Find the price of a burrito.

Fill in the Blank

Tickets for the school's play are $3 for students and $5 for non-students. On opening night a total of 937 tickets were sold and $3943 was collected. How many student tickets were sold? How many non-student tickets were sold?

Fill in the Blank

Checkpoint #1
Solve the system. Write answer as an ordered pair with NO spaces.

 $4x-3y=8$  
 $-2y+11=-5x$  

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.