Systems of Equations
Transformations
Linear Equations
How Many Solutions?
100
Look at the system of equations.
y = 2x-2
y = x-5
These equations intersect at point P. Determine the x and y coordinates of the intersection.
a. (8,3)
b. (-8,-3)
c. (3,8)
d. (-3,-8)
d. (-3,-8)
100
Two triangles are shown on the coordinate plane below. Describe a transformation or sequence of transformations that shows triangle MPT is similar to XYZ.
Reflect over the x-axis then translate (x-10,y)
100
What equation does the graph represent?
y=-2x+3
100
How many solutions does this system of equations have?
9-5x+2 = 4-5x
One solution, Infinite solutions, No solutions
No solution
200
Look at the system of equations.
y = -2x+5
y = x-1
These equations intersect at point P. Determine the x and y coordinates of the intersection.
a. (2,1)
b. (-2,-1)
c. (1,2)
d. (-1,-2)
a. (2,1)
200
Which transformation describes the relationship between the two shapes shown below. (Rotation, Reflection, Translation, None of the above).
Rotation
200
Consider the table shown below. Which equation represents the relationship between the quantities in the table?
y=3x-22
200
How many solutions does this system of equations have?
4(x+1) = 2x+4
One solution, Infinite solutions, No solutions
One solution
300
Look at the system of equations.
y = -x+8
y = x-2
These equations intersect at point P. Determine the x and y coordinates of the intersection.
a. (-5,-3)
b. (5,3)
c. (-3,-5)
d. (3,5)
b. (5,3)
300
Two triangles are shown on the coordinate plane. Describe a transformation or sequence of transformations that shows triangle PQR is similar to P'Q'R'.
Translate x, 10 and y, -7
300
Jarvis has $50 in his bank account. He adds 5 one week. He adds five more dollars the next week. This pattern continues forever. Write an equation to model this situation and explain what each number in your equation illustrates.
y=5x+50
y=total in bank account, 5=how much is added every week, x=number of weeks, 50=amount he started with.
300
How many solutions does this system of equations have?
9(x+4) = 1+2x
One solution, Infinite solutions, No solutions
One Solution
400
Look at the system of equations.
y = 3x+7
y = -x-1
These equations intersect at point P. Determine the x and y coordinates of the intersection.
a. (2,-1)
b. (-2,1)
c. (1,-2)
d. (-1,2)
b. (-2,1)
400
The transformation of a polygon is shown below. Which transformation best describes the relationship between the polygons (Rotation, Reflection, Translation)?
Reflection
400
Brody is excited to start singing lessons. His teacher says he will learn 2 vocal pieces each month.
Write an equation that shows the relationship between the number of months Brody takes voice lessons, x, and the number of pieces he knows, y.
y=2x
400
How many solutions does this system of equations have?
10+3y-2 = 4y-y+8
One solution, Infinite solutions, No solutions
Infinite solutions