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Study sets matching "systems of equations"

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Study sets matching "systems of equations"

19 terms
Systems of Equations, Systems of Equations
(2, 2)
(4, -4)
(-1, -1)
no solution
y = 2x + 5... y = 2x - 7
(2, 2)
(4, -4)
19 terms
Systems of Equations, Systems of Equations
(2, 2)
(4, -4)
(-1, -1)
no solution
y = 2x + 5... y = 2x - 7
(2, 2)
(4, -4)
Systems of Equations
(2, 2)
(4, -4)
(-1, -1)
no solution
y = 2x + 5... y = 2x - 7
(2, 2)
(4, -4)
Systems of Equations
(2, 2)
(4, -4)
(-1, -1)
no solution
y = 2x + 5... y = 2x - 7
(2, 2)
(4, -4)
19 terms
Systems of Equations, Systems of Equations
(2, 2)
(4, -4)
(-1, -1)
no solution
y = 2x + 5... y = 2x - 7
(2, 2)
(4, -4)
7 terms
Systems of Equations
Solve by graphing
Solve by elimination
Solve by substitution
Systems of equations
use graph to solve problem
multiply first by something to get rid of one variable then a…
put one equation into another to solve for the ordered pair
A set of two or more equations containing a set of common var…
Solve by graphing
use graph to solve problem
Solve by elimination
multiply first by something to get rid of one variable then a…
8 terms
Systems of Equations
no solution
(2, 2)
(-4, -4)
(-1, -1)
no solution
(2, 2)
16 terms
Systems of Equations
Solution
System of Equations
Y-intercept
Substitution
A value or values we can put in place of a variable (such as…
Two or more equations that use the same variables. Sometimes…
The y-coordinate of the point where the line on the graph cro…
A mathematical method that lets us replace equal numbers or e…
Solution
A value or values we can put in place of a variable (such as…
System of Equations
Two or more equations that use the same variables. Sometimes…
16 terms
Systems of Equations
no solution
(2, 2)
(-4, -4)
(-1, -1)
no solution
(2, 2)
10 terms
Systems of Equations, Systems of Equations
(4, -4)
(-1, -1)
no solution
infinite solutions
y = 2x + 5... y = 2x - 7
y = -4x + 2... 4x + y = 2
(4, -4)
(-1, -1)
14 terms
Systems of Equations
Solution
System of Equations
Slope
Y-intercept
A value or values we can put in place of a variable (such as…
Two or more equations that use the same variables. Sometimes…
Shows how a straight line on a graph changes. If you have two…
The y-coordinate of the point where the line on the graph cro…
Solution
A value or values we can put in place of a variable (such as…
System of Equations
Two or more equations that use the same variables. Sometimes…
19 terms
Systems of Equations, Systems of Equations
(2, 2)
(4, -4)
(-1, -1)
no solution
y = 2x + 5... y = 2x - 7
(2, 2)
(4, -4)
19 terms
Systems of Equations, Systems of Equations
(2, 2)
(4, -4)
(-1, -1)
no solution
y = 2x + 5... y = 2x - 7
(2, 2)
(4, -4)
13 terms
Systems of Equations, Systems of Equations
(2, 2)
(4, -4)
(-1, -1)
(5, 10)
y = x + 5... 3x + y = 25
(2, 2)
(4, -4)
Systems of Equations, Systems of Equations
(2, 2)
(4, -4)
(-1, -1)
no solution
y = 2x + 5... y = 2x - 7
(2, 2)
(4, -4)
19 terms
Systems of Equations, Systems of Equations
(2, 2)
(4, -4)
(-1, -1)
no solution
y = 2x + 5... y = 2x - 7
(2, 2)
(4, -4)
16 terms
Systems of Equations
no solution
(2, 2)
(-4, -4)
(-1, -1)
no solution
(2, 2)
12 terms
Systems of Equations
no solution
(2, 2)
(-4, -4)
(-1, -1)
no solution
(2, 2)
13 terms
Systems of Equations
One solution
No solution
Infinitely many solutions
At least two
The number of solutions that a system of linear equations has…
The number of solutions that a system of linear equations has…
The number of solutions that a system of linear equations has…
A systems of linear equations must have at least how many var…
One solution
The number of solutions that a system of linear equations has…
No solution
The number of solutions that a system of linear equations has…
Systems of Equations
This method is best used when an equat…
This method is best used when both equ…
For this method, you find (or create)…
Explain what a solution to a system of…
Substitution Method
Graphing Method
Elimination Method
The intersection point. The "break even" point. The x and y v…
This method is best used when an equat…
Substitution Method
This method is best used when both equ…
Graphing Method
16 terms
Systems of Equations
no solution
(2, 2)
(-4, -4)
(-1, -1)
no solution
(2, 2)
23 terms
Systems of Equations
(1,1)
(-3,1)
(-1,-4)
(1,-2)
y = −3x + 4... y = 3x − 2
y = x + 2... x = −3
x − y = 3... 7x − y = −3
4x + y = 2... x − y = 3
(1,1)
y = −3x + 4... y = 3x − 2
(-3,1)
y = x + 2... x = −3
7 terms
System of Equations
consistent
independent
dependent
inconsistent
has at least one solution
has exactly one solution
has more than one solution
no solution
consistent
has at least one solution
independent
has exactly one solution
10 terms
Systems of Equations by Graphing
(−2,−1)
(0,3)
(2,-4)
(4,0)
y=2x+3 ... y=1/2x
x+y=3 ... x−y=−3
y=-1/2x-3... y=−x−2
2x−4y=8 and y=−x+4
(−2,−1)
y=2x+3 ... y=1/2x
(0,3)
x+y=3 ... x−y=−3
12 terms
Systems of Equations
systems of equations
consistent system
inconsistent system
dependent system
A system of equations is a collection of two or more equation…
A system of equations or inequalities that has at least one s…
a system of equations or inequalities that has no solution
a system of equations that has infinitely many solutions
systems of equations
A system of equations is a collection of two or more equation…
consistent system
A system of equations or inequalities that has at least one s…
18 terms
Systems of Equations
(2, 2)
(4, -4)
(-1, -1)
no solution
y = 2x + 5... y = 2x - 7
(2, 2)
(4, -4)
13 terms
Systems of Equations
(2, 2)
(4, -4)
(-1, -1)
no solution
y = 2x + 5... y = 2x - 7
(2, 2)
(4, -4)
15 terms
Systems of Equations
System of Linear Equations
Solution of a System of Linear Equations
System of Linear Inequalities
Solution of a System of Linear Inequal…
Two or more linear equations that use the same variables
the ordered pair that makes both equations true at the same t…
Two or more linear inequalities that use the same variables
Set of ordered pairs that make both inequalities true at the…
System of Linear Equations
Two or more linear equations that use the same variables
Solution of a System of Linear Equations
the ordered pair that makes both equations true at the same t…
13 terms
Systems of Equations
(2, 2)
(4, -4)
(-1, -1)
no solution
y = 2x + 5... y = 2x - 7
(2, 2)
(4, -4)
18 terms
Systems of Equations
Solution
System of Equations
Slope
Y-intercept
A value or values we can put in place of a variable (such as…
Two or more equations that use the same variables. Sometimes…
Shows how a straight line on a graph changes. If you have two…
The y-coordinate of the point where the line on the graph cro…
Solution
A value or values we can put in place of a variable (such as…
System of Equations
Two or more equations that use the same variables. Sometimes…
2 terms
Systems of Equations
Point of Intersection
Point-Slope Form
The point where two lines cross. Represents the solution to a…
A way to write a linear equation when you know the slope and…
Point of Intersection
The point where two lines cross. Represents the solution to a…
Point-Slope Form
A way to write a linear equation when you know the slope and…
6 terms
Systems of Equations
The equations 5x + 2y = 48 and... 3x + 2…
Jack bought 3 slices of cheese pizza a…
Pam is playing with red and black marb…
Sam and Odel have been selling frozen…
C
B
C
D
The equations 5x + 2y = 48 and... 3x + 2…
C
Jack bought 3 slices of cheese pizza a…
B
15 terms
Systems of Equations
(3,-5)
(-1,4)
(-2,2)
(4,-2)
x - y = 8 and x + y = -2
5x − y = -9 and y + 2x = 2
2x + 3y = 2 and -2x + y = 6
3x - 2y = 16 and 5x + y = 18
(3,-5)
x - y = 8 and x + y = -2
(-1,4)
5x − y = -9 and y + 2x = 2
Systems of Equations
System of Equations
Solution of a Linear Equation
Ordered Pair
Solution
Two or more equations working together
Represented by all the points on the line.
coordinates of a point (x,y)
When you substitute and simplify....... It makes a True! stateme…
System of Equations
Two or more equations working together
Solution of a Linear Equation
Represented by all the points on the line.
10 terms
Systems of Equations
systems of equations
consistent system
inconsistent system
dependent system
A system of equations is a collection of two or more equation…
A system of equations or inequalities that has at least one s…
a system of equations or inequalities that has no solution
a system of equations that has infinitely many solutions
systems of equations
A system of equations is a collection of two or more equation…
consistent system
A system of equations or inequalities that has at least one s…
23 terms
Systems of Equations
(1,1)
(-3,1)
(-1,-4)
(1,-2)
y = −3x + 4... y = 3x − 2
y = x + 2... x = −3
x − y = 3... 7x − y = −3
4x + y = 2... x − y = 3
(1,1)
y = −3x + 4... y = 3x − 2
(-3,1)
y = x + 2... x = −3
15 terms
Systems of Equations
System of Linear Equations
Solution of a System of Linear Equations
System of Linear Inequalities
Solution of a System of Linear Inequal…
Two or more linear equations that use the same variables
the ordered pair that makes both equations true at the same t…
Two or more linear inequalities that use the same variables
Set of ordered pairs that make both inequalities true at the…
System of Linear Equations
Two or more linear equations that use the same variables
Solution of a System of Linear Equations
the ordered pair that makes both equations true at the same t…
13 terms
Systems of Equations
One solution
No solution
Infinitely many solutions
At least two
The number of solutions that a system of linear equations has…
The number of solutions that a system of linear equations has…
The number of solutions that a system of linear equations has…
A systems of linear equations must have at least how many var…
One solution
The number of solutions that a system of linear equations has…
No solution
The number of solutions that a system of linear equations has…
18 terms
Systems of Equations
no solution
(2, 2)
(-4, -4)
(-1, -1)
no solution
(2, 2)
18 terms
Systems of Equations
no solution
(2, 2)
(-4, -4)
(-1, -1)
no solution
(2, 2)
13 terms
Systems of Equations
Slope intercept form
Standard form
slope
y-intercept
y = mx + b
Ax + By = C
m
b
Slope intercept form
y = mx + b
Standard form
Ax + By = C
13 terms
Systems of Equations
(2, 2)
(4, -4)
(-1, -1)
no solution
y = 2x + 5... y = 2x - 7
(2, 2)
(4, -4)
13 terms
Systems of Equations
no solution
(2, 2)
(-4, -4)
(-1, -1)
no solution
(2, 2)
12 terms
Systems of Equations
Solution
System of Equations
Y-intercept
Substitution
A value or values we can put in place of a variable (such as…
Two or more equations that use the same variables. Sometimes…
The y-coordinate of the point where the line on the graph cro…
A mathematical method that lets us replace equal numbers or e…
Solution
A value or values we can put in place of a variable (such as…
System of Equations
Two or more equations that use the same variables. Sometimes…
17 terms
Systems of Equations
Solution
System of Equations
Slope
Y-intercept
A value or values we can put in place of a variable (such as…
Two or more equations that use the same variables. Sometimes…
Shows how a straight line on a graph changes. If you have two…
The y-coordinate of the point where the line on the graph cro…
Solution
A value or values we can put in place of a variable (such as…
System of Equations
Two or more equations that use the same variables. Sometimes…
18 terms
Systems of Equations
Solution
System of Equations
Slope
Y-intercept
A value or values we can put in place of a variable (such as…
Two or more equations that use the same variables. Sometimes…
Shows how a straight line on a graph changes. If you have two…
The y-coordinate of the point where the line on the graph cro…
Solution
A value or values we can put in place of a variable (such as…
System of Equations
Two or more equations that use the same variables. Sometimes…
18 terms
Systems of Equations
The equations 5x + 2y = 48 and... 3x + 2…
Jack bought 3 slices of cheese pizza a…
Which ordered pair is a solution to th…
Pam is playing with red and black marb…
C
B
D
C
The equations 5x + 2y = 48 and... 3x + 2…
C
Jack bought 3 slices of cheese pizza a…
B
16 terms
Systems of Equations
no solution
(2, 2)
(-4, -4)
(-1, -1)
no solution
(2, 2)
16 terms
Systems of Equations
no solution
(2, 2)
(-4, -4)
(-1, -1)
no solution
(2, 2)
Systems of Equations
(−2,−1)
(0,3)
(2,-4)
(4,0)
y=2x+3 ... y=1/2x
x+y=3 ... x−y=−3
y=-1/2x-3... y=−x−2
2x−4y=8 and y=−x+4
(−2,−1)
y=2x+3 ... y=1/2x
(0,3)
x+y=3 ... x−y=−3
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