Systems of Equations Review

Systems of Equations Review

By Seashell HS]

Open Ended

Do you have any good things to share? If so, what is your good thing? [Mine is that I got my new glasses yesterday!]

Poll

How are you feeling today?

• Happy

• Sad

• Mad

• Tired

Poll

This week, I've mainly been...

• happy.

• sad.

• lonely.

• frustrated.

Poll

The color that makes me smile MOST is...

• Blue

• Yellow

• Orange

• Pink

• Purple

Multiple Choice

Is (1,8) a solution to the system?

$$y=x+7$$   $$y=6x+2$$  

• YES

• NO

Multiple Choice

Solve the following

y = 3

y = - 2x - 13

• (8,3)

• (3,-8)

• 3,-8

• (-8,3)

Multiple Choice

What is the solution to this system?
y = 2x + 1
y = 4x - 1

• (1,3)
• (-1,-3)
• (-1,3)
• (3,1)

Multiple Choice

Use the equal values method to determine the solution to the system of equations.
y = 6x + 3
y = 4x - 15

• (-9,3)
• (-7,-51)
• (-9,-51)
• (0,0)

Multiple Choice

What is the solution to the given system?

• (4, -2)

• (-3, 4)

• (4, -3)

• (0,-1)

Multiple Choice

How can you tell if a point is a solution to a system?

• It makes the first equation true.
• The (x,y) coordinates satisfy both equations
• It makes logical sense
• It makes neither equation negative

Multiple Choice

Solve the following

y = 4x + 24

y = x + 9

• (-4,-5)

• (-5,4)

• y = 4

• x = - 5

Multiple Choice

Solve the following

y=x+4

y=5x+20

• No Solution

• (4,0)

• (-4,0)

• x = - 4

Multiple Choice

Last season two running backs on the Browns football team rushed a combined total of 1550 yards. One rushed 4 times as many yards as the other. Let x and y represent the number of yards each individual player rushed. Which system of equations could be used?

• x + y = 1550

  y = 4x

• x + y = 1550

  y = x + 4

• y - x = 1550

  y = 4x

• y = 1550 + x

  y = x + 4

Multiple Choice

At a college bookstore, Carla purchased a math textbook and a novel that cost a total of $54, not including tax. If the price of the math textbook, t, is $8 more than 3 times the price of the novel, n, which system of linear equations could be used to determine the price of each book?

• t + n = 54
  t = 3n + 8
• t + n = 54
  n = 3t + 8
• t + n = 54
  t = 3n - 8
• t + n = 8
  t = 3n + 54

Multiple Choice

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which equations represents the system that could be used? 

• 1s + 3c = 38
  2s + 3c = 52
• 3s + 1c = 38
  3s + 2c = 52
• s + c = 38
  s + c = 52
• 3s + 3c = 38
  1s + 2c = 52

Multiple Choice

Solve this system of equations for x.

$$y=-6x+4$$  

$$y=2x-4$$  

• x = 0

• x = 1

• x = 2

Multiple Choice

Take your x-value of 1 and plug it into one of these equations to solve for y.

$$y=-6x+4$$  

$$y=2x-4$$  

• y = 0

• y = -1

• y = -2

Multiple Choice

How do you write a solution to a system of equations?

• x=answer [ex: x=5 ]

• x=answer, y=answer [ex: x=5, y= -1]

• (x, y) [ex: (5,-1) ]

• (y, x) [ex: (-1, 5) ]

Multiple Choice

2 or more linear equations with the same set of variables

• System
• System of Equations
• Linear Equations
• Quadratic Equations

Multiple Choice

A solution to a system that results in an unlimited amount of x values and an unlimited amount of y values that will satisfy both equations

• No Solution

• One Solution

• Infinite Solutions

• Beyond Solutions

Multiple Choice

A solution to a system that results in one x value and one y value that will satisfy both equations

• No Solution

• One Solution

• Infinite Solutions

• Beyond Solutions

Multiple Choice

A solution to a system of equations that results in no x or y value that will satisfy both equations

• No Solution

• One Solution

• Infinite Solutions

• Beyond Solutions

Multiple Choice

What is the solution to the system?

• (6, 8)
• (8, 6)
• (-6, 8)
• No solution

Multiple Choice

What is the solution?

• No solution
• (0, 2)
• (0, -4)
• (3, -3)

Multiple Choice

What is the solution to the given system?

• (4, -2)

• (-3, 4)

• (4, -3)

• (0,-1)

Multiple Choice

If a system of equations has no solution, what does the graph look like? 

• intersecting lines
• parallel lines
• same lines

Multiple Choice

How can you tell if a point is a solution to a system?

• It makes the first equation true.
• The (x,y) coordinates satisfy both equations
• It makes logical sense
• It makes neither equation negative

Multiple Choice

How many solutions will this system have?

• one solution

• no solution

• infinitely many solutions

Multiple Choice

What method did they use to solve this problem?

• substitution

• elimination

• equal values

Poll

How well do you understand the Equal Values Method to find the solution to a system of equations?

• Totally get it! :)

• I get parts of it. :\

• I don't get it at all. :(

Multiple Choice

Ms. Abrajan was trying to solve this system of equations with the Equal Values Method. In what step did she go wrong?

• step 5

• step 2

• step 4

• step 1

Multiple Choice

Did Ms. Abrajan make a mistake in solving this system of equations?

• Yes, Step 2 is wrong

• No, this is correct Equal Values Method

• Yes, Step 5 is wrong

• No, this is correct Substitution Method

Open Ended

What do you have questions on?

OR

What do you need to remember about systems of equations?