Graphs of
Systems
Systems
Solving by Equal Values Method
Solving by Substitution
Systems of
Equations - Mixed
Equations - Mixed
Spiral Review
100
What is the solution?
(-1,1)
100
Solve the systems of equations:
y = -2x + 2
-2x + 2 = y
(none)
100
Solve the systems of equations:
-3x + 4y = -2
y = -5
(-6, -5)
100
How many solutions do parallel lines have?
No solutions / Zero
100
Is the given point a solution to the equation?
Point: (-1,-3)
x + y2 = 8
Yes
-1+(-3)^2 = 8
200
How many solutions are there?
No Solutions
200
Solve the systems of equations:
y = 2x + 1
4x - 1 = y
(1, 3)
200
Solve the systems of equations:
y = 6
2x + 3y = 12
(-3, 6)
200
Jesi bought 2 new shirts and one dress for $45. She then went back and bought one more shirt and 4 dresses for $70.
Let x = the cost of a shirt
Let y = the cost of a dress
Write a system of equations for the situation.
2x + y =45
x + 4y = 70
200
Simplify.
(8x^6y^3z)/(14x^2y^3z^5)
(4x^4)/(7z^4)
300
Solve Using Graphing:
y = 5/3 x + 2
y = -3
300
Solve the systems of equations:
y = 2x - 3
y = 4x + 1
(-2, -7)
300
Solve the systems of equations:
y = -2x - 9
x - 2y = 3
(-3, -3)
300
What are the three different types of lines you may have for a system of equations?
Intersecting, Parallel, Coinciding
300
Simplify.
-2-4(5-8)^2
-38
400
How many solutions are there?
Infinitely Many Solutions
400
Solve the systems of equations:
-3x - 24y = -66
3x + 4y = -14
(-10, 4)
400
Solve the systems of equations:
-8x - 5y = -24
-x + y = 10
(-2, 8)
400
What strategy would you use to solve the system jof equations? Explain your reasoning.
y = 5x +4
y = 1/5x + 4
Equal Values Method
Graphing
400
Solve for x.
(x+8)(x+2) = x^2+5x+26
x = 2
500
Solve the systems of linear equations by graphing:
500
Solve the systems of equations:
-18x + 6y = -36
4x - 3y = 18
(0, -6)
500
Solve the systems of equations:
-7 - 8x = y
x = 0
(0, -7)
500
Abby went to Dunkin and bought one coffee and a bagel, her total was $7. Brett went to Dunkin and bought 2 coffees and 3 bagels and spent $18.
Let c = the cost of a coffee
Let b = the cost of a bagel
Write a systems of equations for this situation.
c + b = 7
2c + 3b = 18
500
What is the y-intercept of the line that has a slope of 3 and passes through the point (2, 4).
Remember slope intercept form is
y=mx+b
The y-intercept is -2.