Name: ___________________________
Based on the results of your chapter 4
and 6 assessment, the following skills
and concepts need to be remediated by
completing the attached worksheets.
Worksheet
#
1
2
3
4
5
6
7
8
9
Skills
Worksheets Grade on
to be
worksheet
completed out of 10
Functions vs.
Relations
Evaluating
Functions
Domain and
Range
Equations of
Transformed
Functions
Applying
Transformations
Interpreting
Graphs
Applying Matrix
Operations
Systems of
Equations
Matrices
Extensions
Average: ______
This will be put in as a formative
assessment grade.
Worksheet #1
Determine whether each relation is a function or not. Explain your
reasoning for each.
1. {(3,2), (1, -1), (2, -4), (3, -9), (4, -16)}
2.
3.
4. Add another ordered pair to this relation that would make this not a function
anymore.
(5, 4), (8, -1), (7, 3), (0, 5), (10, -2), and __________
Worksheet #2
Use the following 4 functions, f(x), g(x), m(x), and n(x), to evaluate the
problems below.
g(x)
f = {(3,2), (1, -1), (2, -4), (-3, -9), (4, -16)}
m(x) = 7x – 4
n(x) = x3 + 1
-----------------------------------------------------------------------------------------------------------Evaluate.
1. f(2)
2. x when f(x) = 2
3. g(-3)
4. x when g(x) = 3
5. m(5)
6. x when m(x) = -32
7. n(-2)
8. m(f(1))
9. ( g  n)(1)
10. m(f(g(3)))
Worksheet #3
State the domain and range of each relation.
1. {(3,2), (1, -1), (2, -4), (3, -9), (4, -16)}
2.
3.
Worksheet #4
Write the equation of each transformed function.
1.
2.
3.
4.
Worksheet #5
The graph below represents y = h(x).
1. Graph y=h(x) after it has been reflected over x-axis then translated left 2.
Label this graph k(x). Write its equation here: ____________________
2. Graph y=h(x) after it has been translated left 2 and reflected over the xaxis. Label this graph m(x). Write its equation here:________________
How does it compare to k(x)?
3. Graph y = h(x) after it has been reflected over the x-axis then translated
down 3 units. Label this graph n(x). Write its equation here:
______________
4. Graph y = h(x) after it has been translated down 3 units and then reflected
over the x-axis. Label this graph q(x). Write its equation here:
______________. How does it compare to n(x)?
Worksheet #6
The following graph tells a story. Write a story that would model this
graph. Take note of where the graph begins and ends and what the
independent and dependent variables are.
________________________________________________________________
________________________________________________________________
________________________________________________________________
________________________________________________________________
________________________________________________________________
________________________________________________________________
________________________________________________________________
________________________________________________________________
________________________________________________________________
________________________________________________________________
Worksheet #7
Perform the following matrix operations.
 4 7  1 5
1. 2
  3

 2 1  3 1
 0 3  4 6 1 3
2. 


 4 9  9  8 10 7
 3
3. 5 6 1 0 
 8 
 2 0  5 10
4. 2X  


 1 4  15 9 
3
y  5  4 x 3
9 
2( x  1)

5. 

z  5 8   v  10 7  w  5
 0
Worksheet #8
Solve the following system of equations using any method.
 x  2 y  15
1. 
2 x  4 y  30
a  2b  c  14

2. b  c  1
a  3c  6

3. A dietitian wants to prepare a meal with 24 g of protein, 27 g of fat, and 20 g
of carbohydrates using three foods shown in the table.
Food
Protein
Fat
Carbohydrates
A
2g
3g
4g
B
3g
3g
1g
C
3g
3g
2g
How many ounces of each food are needed?
Worksheet #9
1. The following matrix represents the vertices of quadrilateral ABCD. Plot
the quadrilateral on the graph.
0  1  4  4
M 
2
0 
0 4
a. What does m23 represent?
b. What does m14 represent?
2. Perform the following matrix operations and plot the new quadrilateral. Then
describe what each operation did to the polygon.
6
6
6
0  1  4  4   6

a. 
=

2
0   2  2  2  2
0 4
0  1  4  4 
b. 2
=
2
0 
0 4
  1 0  0  1  4  4 
c. 
=

2
0 
 0 1  0 4
1 0  0  1  4  4
d. 
=

2
0 
0  1 0 4