Solving Equations
Transformations
Identifying Functions
Linear Functions
Mixed
100
Solving Equations
4x + 3 = 7
x = 1
100
The graph depicts a rigid transformation. What is the rule? Give the words and the notation.
1 unit right 2 units down: (x + 1, y - 2)
100
Do these ordered pairs represent a function? Why or why not?
(1,4), (2,5), (3,6), (1,7)
No, for the input of 1 there are multiple outputs.
100
Which variable gives you the slope from
y=mx+b
Slope = m
100
Solving Equations
4+(1/2)x=24-10
x=20
200
Solving Equations
4 + 5x = 29
x = 5
200
The given graph depicts a rigid transformation. What transformation does the image represent? (hint state the axis)
The Transformation represented is a Reflection over the y-axis
200
Is the relation shown by this mapping a function? Why or why not?
Inputs --> Outputs
1-->2
2-->4
3-->6
4-->8
Yes, each input only has one output.
200
How can you find the slope given two points?
slope = (y_2-y_1)/(x_2-x_1) or Stat Edit
200
What linear function represents the graph?
Y= 3/4x - 5
300
Solving Equations
-45 = x + 4
x = -49
300
If (1, 6) is translated to the left 3 and down 1, what are the new coordinates?
(-2, 5)
300
A graph shows a sideways "U" shape that, for some x-values, has two different y-values on the same vertical line.
Does this graph represent a function? Why or why not?
No. It would fail the vertical line test showing that there are more than one output per input.
300
Alex wants to go to a concert with his friends. Every ticket cost $30.00 and there is an additional parking fee of $20.00. write an equation that represent the number of friends x he can take to the concert and the amount they would pay y.
y=30x+20
300
Is this relation a function?
No, when x = 6, y = 1 or y =3
400
Solving Equations
14 = (3a + 6) + 2
a=2
400
In words, what is the translation rule for the figure to image below?
left two units, up two units
400
Is the following relation a function? WHY?
YES BECAUSE EVERY INPUT VALUE HAS ONLY ONE OUTPUT VALUE?
400
What is the slope of the table?
the slope of the table is m=1
400
Is the following a function?
Yes! All inputs have one output!
500
Solving Equations
-21 = 7(5k - 8)
k = 1
500
Which Transformation preserve Congruence?
-Translation
-Rotation
-Reflection
-Dilation
Translation (Slide), Rotation (Turn), Reflection (Flip) all Preserve Congruence
500
Is this graph a function?
Yes it is a Function. It passes the Vertical Line Test (VLT)
500
Write a linear function for a line that passes through the points (0,2) and (-4,5).
y= 3/4x +2
500
Is this graph a function?
No, it fails the Vertical Line Test