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Elimination method
Substitution Method
Graphs
Systems of inequalities
100
During their last game, the Miami Dolphins scored 7 times for a total score of 33 points. They scored 7 points for each touchdown and 3 points for each field goal. Define the variable.
t= # of touchdowns
f= # of field goals
100
Solve using Elimination
-5x + y = -4
5x - y = -5
No solution
100
Solve the system of equations by substitution
y=2x+6
x=3
(3,12)
100
Which area contains the solution?
A, AB, or B
AB
100
Is (0,1) a solution to the problem set?
3+y>0
y>x
Yes
200
The elimination method is another way to solve systems of linear equations. In this method, one equation is ___________ by______ to ________ one of the variables. When you add the two equations of the system together, you have a _____ equation with only ______ variable.
Put these in order: linear, eliminate, multiplying, one, transformed
transformed, multiplying, eliminate, linear, one
200
Solve using Elimination
3x - y = 28
3x + y = 14
(7,-7)
200
Solve the systems of equations by substitution
2x+3y=8
y=x+1
(1,2)
200
Which of the following points would be on the graph of y=-4x+7?
(2,5) (0,7) (-2,7) (2,0)
(0,7)
200
is (3, 1) a solution to the system of inequalities?
y ≥ x + 9
y > -4x - 10
Not a solution
300
Julia and Skylar are going to a food truck event at their local park. Julia bought 3 tacos and 1 spring roll. Skylar bought 2 tacos and 2 spring rolls. Using the system below, how much did each taco and each spring roll cost?
3t + s = 2.60
2t + 2s = 2.40
Cost of spring rolls are $0.50
Coast taco cost are $0.70
300
Solve using Elimination
3x+2y=10
3x-y=22
y=-4
x=6
(6,-4)
300
Solve the system of equations by substitution
6x + 7y = 20
y = 2x+10
(-5/2, 5)
300
What is the solution to the graph?
no solution
300
Select the points that are a solution to the system of inequalities
y≥x-3
y≥-x-1
(0,10), (-3,-4), (-4,-2), (2,2)
(0,10), (2,2)
400
A caterer is making cookie trays for upcoming holiday parties. This morning, she made 3 small trays and 4 large trays, which contain a total of 210 cookies. In the afternoon, she made 1 small tray and 3 large trays, which contain a total of 140 cookies. How many cookies do the different sized trays contain?
Small container=14 cookies
Large container=42 cookies
400
Solve using elimination
x=1
y=2
(1,2)
400
Solve the systems of equations by substitution
4x+y=10
2x+y=8
(1,6)
400
Which point on the graph satisfies the system of inequalities?(0,8), (-2,-2), (-4,6), (0,0)
(-4,6) and (0,0)
400
Is (7,5) a solution to the system of inequalities?
3x+2y>22
2y-x>5
Yes
500
What system of inequalities represents ALL the real-world constraints of the word problem below:
The local florist never has more than 40 bouquets that are a mix of carnation and daisy bouquets. She has no more than 12 carnation bouquets.
x + y is less than or equal to 40
x is less than or equal to 12
y is greater than or equal to 0
y is less than or equal to 40
500
How could you transform equation 1 to solve the system below using elimination?
EQ 1: 1/2x + 3/4y = 14
EQ 2: 3x + 2y = 49
What is multiply every term by -6?
500
The correct substitution given the problem and equation below:
You spent $12 at the store for milk and muffins. One bottle of milk costs $1.35 and one muffin costs $1.10. You bought a total of 10 items.
A student wrote the system:
x + y = 10
1.35x + 1.10y = 12.00
What is 1.35(-y+10) + 1.10y = 12.00
OR
What is 1.35x + 1.10(-x+10) = 12.00
500
A description of how the inequality system below looks on a graph:
y is less than or equal to x + 2
y is greater than or equal to 2x -10
x is less than or equal to 0
y is greater than or equal to 0
What is the small triangular area where x is between -2 and 0 and y is between 0 and 2?
500
A possible length, y, that would satisfy the constraints of the system of inequalities below:
You have 200 feet of fence to create a rectangular garden. The width, x, of the garden can be no more than 20 feet.
2x + 2y is less than or equal to 200.
x is less than or equal to 20.
any y value greater than or equal to 80 but less than 100