Intro to Systems Of Equations

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

If a system of linear equations has one solution, what does this mean about the two lines? 

• Parallel lines
• the same line 
• Intersecting lines

Multiple Choice

What is the Solution to this system?

• (2,-2)
• (-2,2)
• All Real Numbers
• No Solution

Multiple Choice

A system of equations is graphed above. What is the solution to the system of equations?

• (0, -6)

• (-2, -3)

• (-3, -2)

• (-4, 0)

Multiple Choice

What is the solution?

• One Solution
• No solution
• Infinitely Many Solutions

Multiple Choice

Which of the following is not a method to solve systems?

• Elimination
• Difference of Squares
• Substitution
• Graphing

Multiple Choice

Which system of equations is presented on the graph?

• y = - 2x + 1

  y = - 3x + 4

• y = - 2x + 1

  y = 3x - 4

• y = 2x + 1

  y = 3x - 4

• y = - 2x -1

  y = 3x + 4

Multiple Choice

The ordered pair that satisfies all equations in the system.

• system of equations
• function
• graph
• solution of a system

Multiple Choice

What kind of lines have no solution to a system of equations

• Parallell Lines
• Overlapping lines
• Intersecting Lines
• Skew Lines

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

The graph represents the same line. What is the solution?

• $$\left(0,3\right)$$

• $$\left(1,0\right)$$

• Many solutions

• No solution

Multiple Choice

An ordered pair (x,y) in a system of equations is the

• answer

• solution

• where the lines cross

• all of the above

Multiple Choice

Where do you find the solution in a System of Equations?

• in the middle of graph

• where the origin is

• at the y-intercept

• where the lines intersect

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

If a system of linear equations has one solution, what does this mean about the two lines? 

• Parallel lines
• the same line 
• Intersecting lines

Multiple Choice

^{What is the solution?} 

• 1
• -2
• (1, 2)
• (1, -1)

Multiple Choice

Parallel Lines never intersect because...

• they have the same slopes. 
• they have the same y-intercept.
• they have different slopes.
• they have different y-intercepts. 

Multiple Choice

What is the definition of systems of equations?

• A set of two or more equations containing a set of common variables

• A relationship between two variables resulting in a straight line

• An algebraic equation that can be written in slope-intercept form

• The point where the input is zero

Multiple Choice

What is another term for systems of equations?

• Simultaneous Equations

• Linear Functions

• Linear Equations

• y-intercept

Multiple Choice

What is the definition of linear equations?

• A set of two or more equations containing a set of common variables

• A relationship between two variables resulting in a straight line

• An algebraic equation that can be written in slope-intercept form

• The point where the input is zero

Multiple Choice

What is the definition of linear functions?

• A set of two or more equations containing a set of common variables

• A relationship between two variables resulting in a straight line

• An algebraic equation that can be written in slope-intercept form

• The point where the input is zero

Multiple Choice

What is the y-intercept?

• A set of two or more equations containing a set of common variables

• A relationship between two variables resulting in a straight line

• An algebraic equation that can be written in slope-intercept form

• The point where the input is zero

Multiple Choice

What is the slope?

• A set of two or more equations containing a set of common variables

• A relationship between two variables resulting in a straight line

• An algebraic equation that can be written in slope-intercept form

• The constant rate of change relating the two variables in a linear function

Multiple Choice

What are points of intersection?

• To understand and make sense of a math problem, equation, or graph

• To look at information to gain a deeper understanding or draw conclusions

• Specific locations where two or more lines meet on a graph

• A pair of straight lines that run in the same direction and never intersect

Multiple Choice

What are parallel lines?

• To understand and make sense of a math problem, equation, or graph

• To look at information to gain a deeper understanding or draw conclusions

• A pair of straight lines that run in the same direction and never intersect

• A pair of straight lines that intersect at a 90 degree angle

Multiple Choice

What are perpendicular lines?

• To understand and make sense of a math problem, equation, or graph

• To look at information to gain a deeper understanding or draw conclusions

• A pair of straight lines that run in the same direction and never intersect

• A pair of straight lines that intersect at a 90 degree angle

Multiple Choice

What is a no solution in a system of equations?

• The set of values that makes all of the equations in the system true

• A system of equations that has no set of values which will satisfy both equations

• A system of equations that has one intersection

• A system of equations in which both equations are exactly the same

Multiple Choice

What is a solution in a system of equations?

• The set of values that makes all of the equations in the system true

• A system of equations that has no set of values which will satisfy both equations

• A system of equations that has one intersection

• A system of equations in which both equations are exactly the same

Multiple Choice

What is a one solution in a system of equations?

• The set of values that makes all of the equations in the system true

• A system of equations that has no set of values which will satisfy both equations

• A system of equations that has one intersection

• A system of equations in which both equations are exactly the same

Multiple Choice

What is an infinite solution in a system of equations?

• The set of values that makes all of the equations in the system true

• A system of equations that has no set of values which will satisfy both equations

• A system of equations that has one intersection

• A system of equations in which both equations are exactly the same

Multiple Choice

a situation where there is one or infinitely many solutions that satisfies all of the equations in the system; this happens when lines are intersecting

• no solution
• consistent system

• inconsistent system

• parallel lines

Multiple Choice

a situation where there is no solution that satisfies all of the equations in the system; this happens when lines are parallel

• one solution

• consistent system

• inconsistent system

• infinite solutions

Multiple Choice

a method of solving a system of equations by graphing each equation and identifying the point where they intersect or if they do not intersect

• graphing

• evaluate

• elimination

• substitution