4.9 SD WRITE & SOLVE SYSTEMS

Match

Match the following graphs to the systems of equations

 

 

  

   

• $$y=\frac{2}{3}x+1$$  

  $$y=\frac{2}{3}x-2$$  

• $$y=-x+7$$   $$y=2x+1$$  

• $$y=-2x+4$$   $$y=-2x+4$$   

Multiple Choice

What is the solution to this system of equations?

• (2, -3)
• (-2, 3)
• (-3, 2)
• (3, -2)

Multiple Choice

Solve:

$$y=-\frac{5}{3}x+2$$

$$x-3y=12$$

• (3,3)

• (-3,-3)

• (3,-3)

• (3,-2)

Multiple Choice

Determine the solution to the following system.

$$8x+4y=12\ \ \ and\ \ \ \ y\ =\ -2x+3$$  

• (0,3)

• (3,0)

• No solution(parallel lines)

• Infinitely many solutions

Multiple Choice

Nancy went to the grocery story. On Monday she purchased 4 apples and 6 bananas for a total of $13. On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50. Which system of equations represents the situation?

• 4x + 6y = 3

  13.5x - 13y = 6

• x + y = 4

  x - y = 6

• 4x + 6y = 13

  3x + 7y = 13.5

• 4x - 6y = 13

  3x - 7y = 13.5

Multiple Choice

Caitlin won a bag full of money! She has 49 bills in all. She counts $1430. There are twenty dollar bills and fifty dollar bills. How many of each bill does Caitlin have? Which system best represents the situation?

• x + y = 1430

  20x + 50y = 49

• x + y = 49

  10x + 5y = 1430

• x + y = 49

  20x + 50y = 1430

• x + y = 49

  x + y = 1430

Multiple Choice

The cost of 5 squash and 2 zucchini is $1.32. Three squash and 1 zucchini cost $0.75. Write a system of equations.

• 5q + 2z = 1.32
  1z = 0.75
• 5q + 2z = 1.32
  3q + 1z = 0.75
• q + z = 1.32
  q + z = 0.75
• 5q + 2z = 0.75
  3q + 1z = 1.32

​infinite solutions

Multiple Choice

How would you graph the following linear inequality?

$$y\ ≤\ \frac{4}{3}x\ -\ 4$$  

• Dashed line, shade above

• Dashed line, shade below

• Solid line, shade above

• Solid line, shade below

Multiple Choice

Select the correct graph for each inequality.

• A
• B
• C
• _D

Multiple Choice

Which graph best represents the following inequality?

Multiple Choice

• y < 2x - 5
• y > 2x - 5
• y ≤ 2x - 5
• y ≥ 2x - 5

​SOLVE.
THEN WRITE YOUR ANSWER ON YOUR WHITEBOARD. INDENPENDENTLY!

Multiple Choice

Cole is doing a basketball challenge for charity. In order to win money for the charity, he needs to score at least 20 points in less than 10 shots. If x is the number of 2-point shots, and y is the number of three point shots, which inequalities below represent the situation?

• x + y < 10

  2x + 3y ≥ 20

• x + y ≤ 10

  2x + 3y ≥ 20

• x + y ≤ 10

  2x + 3y > 20

• x + y < 10

  2x + 3y > 20

Multiple Choice

The Starlight Bowling Alley charges $6 to rent shoes and $8 per game. Cameron has only $42 to spend. Use an inequality to determine the maximum number of games Cameron can play.

• 4

• 5

• 6

• 3

Multiple Choice

Katie wants to have at least $200 in her bank account by the end of the month. She currently has $25 in her bank account. Katie makes $12 for each dog that she walks.

Use an inequality to find how many dogs Katie must walk in order to meet her goal.

• 14

• 15

• 18

• 19

Multiple Choice

Solve the system of inequalities by graphing.

Multiple Choice

• A
• B
• C
• D