5.1 - 5.5 Review Systems of Equations and Inequalities

Multiple Choice

The solution of a system of linear equations is...

• the y-intercept (b)

• the intersection of the two equations on a graph

• the second equations' answers

• the slope (m)

Multiple Choice

The solution of a system of linear inequalities is...

• the y-intercept (b)

• the intersection of the two equations on a graph

• The overlapped shaded region (feasible region)

• the slope (m)

Multiple Choice

Solve the system of inequalities by graphing.

Multiple Choice

This system has an infinite number of solutions, TRUE or FALSE?

• TRUE
• FALSE

Multiple Choice

Which point is a solution?

• (0, 6)
• (-3, 4)
• (1, 0)
• (-4, 3)

Multiple Choice

Which is the graph of the system of inequalities?

Multiple Choice

Which ordered pair(s) is a solution to the given system?

• (5,0)
• (1,-3)
• (3,3)
• (2,1)

Multiple Choice

Which of the following inequalities matches the given graph?

• x ≥ -1
• x ≤ -1
• x > -1
• x < -1

Multiple Choice

Which system of inequalities matches the graph?

• y > 2x - 4
  y < 2
• y < 2x - 4
  y < 2
• y > 2x - 4
  y <  2 
• y < 2x - 4
  y <   -2

Multiple Choice

Consider the function y<2x+3. Which is true?

• The line would be solid with shading above.

• The line would be dashed with shading above.

• The line would be solid with shading below.

• The line would be dashed with shading below.

Multiple Choice

An inequality using a > or a < has a ___________ line

• invisible
• solid
• dashed

Multiple Choice

What is the solution? (there are two lines graphing over top each other)

• One Solution

• No solution

• Infinitely Many Solutions

• (0, -1.5)

Multiple Choice

How many solutions will this system have? 

• No solution

• One Solution

• I Don't Know

• Infinitely Many Solutions

Multiple Choice

• Yes

• No

Multiple Choice

What is the solution to this system of equations?

• (4, -1)

• (-1, 4)

• (-4, 1)

• (-4, -1)

Multiple Choice

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

• intersecting lines

• parallel lines

• skew lines

• intersecting lines

Multiple Choice

When both lines in a system are identical, the system has __________________.

• infinite solutions

• one solution

• no solution

• parallel solutions

Multiple Choice

If a system of linear equations has one solution, what does this mean about its slopes and y - intercept?

• Equal Slopes and Equal y-interceps

• Equal Slopes but Not Equal y-intercepts

• Not Equal Slopes and Either Equal or Not Equal y-intercepts

• None of the above

Multiple Choice

Based on the equations for each line, determine how many solutions the system would have.

y=2x+3

y=-4x+3

• Infinite Number of Solutions

• No Solution

• One Solution

Multiple Choice

Based on the equations for each line, determine how many solutions the system would have.

y=5x+3

y=5x-2

• Infinite Number of Solutions

• No Solution

• One Solution

Multiple Choice

What is the solution?

• (1, -1)

• (-1, 1)

• (0, -2)

• (0, 1)

Multiple Choice

Give the solution to the system.

• (3,1)

• (1,3)

• (-1,3)

• (1, -3)

Multiple Choice

How many solutions?

• One Solution

• No solution

• Infinitely Many Solutions

Multiple Choice

Solve for x and y
3x + 2y = 16
7x + y = 19

• (-2,5)

• no solution

• (2,-5)

• (2,5)

Multiple Choice

How many solutions does the system have?

- 8y = 80x + 48

y = -10x - 6

• No Solution

• Infinitely many

• One

Multiple Choice

Solve the system of equations by elimination.
-x + y = -13
-8x - 4y = -8 

• (5, 8)

• (5, -8)

• (-5, -18)

• (-5, 8)

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

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

• intersecting lines

• parallel lines

• skew lines

• intersecting lines

Multiple Choice

what is the resulting combined equation for the system below?

9x + y = 12

-9x + y = 6

• -18x = 18

• y = 18

• 2y= 18

• 18x + 2y = 18

Multiple Choice

what does the top equation need to be multiplied by to create a zero pair?

2x - 6y = 20

2x + 5y = -11

• -1

• 1

• -2

• 2

Multiple Choice

The solution of a system of linear equations is...

• the y-intercept (b)

• the intersection of the two equations on a graph

• the second equations' answers

• the slope (m)

Multiple Choice

Which of the following are ways to solve systems of equations? 

• Graphing

• Substitution

• Elimination

• All of the above

Multiple Choice

Using Elimination, what is the value of the y-coordinate in this system of linear equations?

6x + 10y = -32

6x + 9y = -27

• y = 5

• y = 0

• y = -5

• y = 1

Multiple Choice

Using substitution, what is the x value of the solution to the system:

y=3x+14

y=-4x

• 2

• 1

• -2

• -7

Multiple Choice

This system has _____ solutions

• 0

• 1

• 2

• Infinitely many

Multiple Choice

If a system of equations has one solution, what does the graph look like?

• intersecting lines

• parallel lines

• skew lines

• same lines

Multiple Choice

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

• intersecting lines

• parallel lines

• skew lines

• same lines

Multiple Choice

Is (2,-1) a solution to the system:

2x-4y=8

y=-3x+6

• Yes; it makes both equations true

• No; it makes the first equation true but not the second

• no; it makes the second equation true but not the first

• no; it makes both equations false

Multiple Choice

Solve the system and determine the number of solutions it has. If it has one solution, name it. $$y=7x+10$$   $$y=7x-5$$  

• No Solution

• Infinite Solutions

• One Solution (10,5)

• One Solution (0,0)