Parallel, Intersecting, or Same Line
Verifying Solutions / Solving by Graphing
Solving by Substitution
Solving Using Elimination
Mixed up
Function Notation
100
Determine if the graph shows a system of linear equations that is intersecting, parallel, or the same line.
State how many solutions there are for the system.
Intersecting
One solution
100
Decide whether the given ordered pair is a solution of the system of equations.
y=2x-1
y=1/3x+4
(3,5)
Yes
100
Solve the system of equations using the substitution method.
x=y+1
3x+2y=18
(4,3)
100
Transform the system of linear equations into a system that is ready to be added together to eliminate a variable OR rewrite the system if it already set up for elimination.
3x-y=3
6x+2y=9
6x-2y=6
6x+2y=9
100
Choose a method to solve the system of linear equations and then solve.
2x+y=6
x-y=6
(4,-2)
100
h(x)= 4 - 6x
h(-1) =
(h)=10
200
Determine if the graph shows a system of linear equations that is intersecting, parallel, or the same line.
State how many solutions there are for the system.
Same line
Infinitely many solutions
200
Decide whether the given ordered pair is a solution of the system of equations.
y=x-2
4x+y=-2
(0,-2)
Yes
200
Solve the system of equations using the substitution method. Hint: put them together
y=-4x+1
y=2x+13
(-2,9)
200
Solve each system of equations using the elimination method.
x+3y=17
2x-3y=-20
(-1,6)
200
Choose a method to solve the system of linear equations and then solve. Hint: Elimination
x-y=-1
3x+y=13
(3,4)
200
f(x)= 2x-5
F(3) =
x= 1
300
Determine if the graph shows a system of linear equations that is intersecting, parallel, or the same line.
State how many solutions there are for the system.
Parallel
No solutions
300
Solve each system of equations by graphing.
y=1/2x-3
y+5=x
(4,-1)
300
Solve the system of equations using the substitution method.
-3x+y=9
y=2x+6
(-3,0)
300
Solve each system of equations using the elimination method.
5x+4y=22
-2x-4y= -16
(2,3)
300
Write the equation in slope- intercept form
Plumber Charges a flat fee $50 and $20 and hour
y=20x + 50
300
FREE POINTS!
How many kids do Mrs. Montford have?
one daughter
400
Determine if the two lines in the system of equations are intersecting, parallel, or the same line.
State how many solutions there will be for the system.
y=2x-4
y=2x+4
Parallel
No solution
400
Identify the slope and the y-intercept
Y= 1/3 x + 1
slope: 1/3
y-intercept: 1
400
Solve the system of equations using the substitution method.
y=-x+ 3
x+2y=1
(5,-2)
400
Solve each system of equations using the elimination method. Hint you will have a decimal
6x+3y=21
4x-3y=-6
(1.5,4)
400
Write the equation in slope- intercept form
$40 per month with flat fee of $21
y=40x + 21
400
Solve
g(x) = x2 + 3
g(5) =
28
500
Determine if the two lines in the system of equations are intersecting, parallel, or the same line.
State how many solutions there will be for the system.
y=2x+2
2y=4x+4
Same line
Infinitely many solutions
500
Sandra and Terry each walk to the same school from different neighborhoods. They do not cross paths until they reach the school building. Sandra follows the path represented by the equation
y=-2x+10
and Terry follows the path represented by the equation
y=-1/6x-1
What are the coordinates of the school building?
(6,-2)
500
What is the difference between substitution and elimination?
FREE POINTS!
Substitution is substituting the value of the variable in the other equation.
Elimination is eliminating any one of the variables by using subtracting or adding and then simplify the equation to find the value of the other variable.
500
Patrick bought one baseball cap and one t-shirt for $36. Sammy bought two baseball caps identical to Patrick's caps along with three of the same t-shirts. Sammy spent a total of $94.
Create and solve the system of equations to match this situation and solve using the elimination method.
x+y=36
2x+3y=94
500
Write the equation in slope- intercept form
$8 per ticket with admission fee of $10
y= 8x + 10
500
j(x) = x2 + 10
j(7) =
59