Vocabulary
Solving by Graphing
Solving by Substitution
Knowledge
100
The point where a line crosses the x or y axis.
What is the intercept
100
Solve by graphing: y = x - 3 y = -x - 1
solution is (1,-2)
100
Solve by substitution: y = 2x y = x + 5
Solution is (5, 10)
100
In solving by graphing, how many lines do you need to graph?
At least two.
200
This is where you plot two lines to see where the two lines cross.
What is Solving by Graphing.
200
Solve by graphing: y = -2x - 1 y = x + 5
Solution is ( -2,3)
200
Solve by substitution: 2x + y = 5 y = x - 4
Solution is (3,-1)
200
How many variables should be in your equation after you substitute for one of them?
One
300
Where you replace the variable in one equation with an expression from another equation.
What is solving by substitution.
300
Solve by graphing: y = 1/3x - 3 y = 4 - 2x
Solution is (3,-2)
300
Solve by substitution: y = x + 3 y = 2x + 5
Solution is (-2, 1)
300
Is (4,1) a solution of: x + 2y = 6 x - y = 3
Yes, (4) + 2(1) = 6 (4) - (1) = 3
400
When you solve a system of equations, your answer is in the form of ...
what is a point?
400
Lawn Care charges $30 per bag of mulch and a $30 delivery fee. Yard Depot charges $25 per bag of mulch and $55 for a delivery fee. At what number of bags is the cost the same?
Solution is 5 bags, $180.
400
Solve by substitution: x = 2y - 4 x + 8y = 16
Solution is (0, 2)
400
When you solve a system of equations by substitution, how many time do you substitute?
Twice
500
What is system of linear equations ?
Two or more equations
500
Anthony has $7 saved up and saves $1 more each week. Marc has $4 saved up and saves $2 more each week. When will they have the same amount saved up?
Solution is 3 weeks, $10
500
Solve by substitution: 2x + y = -4 x + y = 7
Solution is (3, -10)
500
Is (1,3) a solution of: 2x + y = 5 -2x + y = 4
No, 2(1) + (3) = 5 but -2(1) + 3 = 1, not 4
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