Download Standard 3 - Linear Functions Extra Practice - Parkway C-2

Algebra 1 – Linear Functions
Name________________________
Ticket to the Test
I plan on taking the retake ________________________________.
1) Which of the following graphs are linear? __________________________
Graph A
Graph B
Graph C
Graph D
2) For each graph, identify the intervals where the graph is increasing and decreasing.
3) When comparing and contrasting the following graphs, use the words “rate of change”, “increasing”, and
“decreasing”.
a) Give a similarity and a difference between Graphs B and D.
b) Give a similarity and a difference between Graphs A and B.
5. Find the rate of change of the following graphs.
a)
b)
__________
c)
__________
6. Analyze the tables and circle the best description.
a) x y
-6 10
Rate of Change: Constant or Not
-2 2
Linear or Non-Linear
0 -2
Increasing / Decreasing / Both / Neither
6 -14
If constant, what is the rate of change:
7 -16
d)
_________
b) x
-2
-1
1
6
9
y
10
13
19
4
-5
__________
Rate of Change: Constant or Not
Linear or Non-Linear
Increasing / Decreasing / Both / Neither
If constant, what is the rate of change:
Algebra 1 – Linear Functions
Ticket to the Test
Name________________________
7. Compare and contrast the two tables by giving one similarity and one difference. Use words such as “rate of
change”, “increasing”, and “decreasing”.
Similarity:
Table A
Table B
x
y
x
y
-2 -2.75
-1
-23
0
-2
0
-3
5
29
5
97
Difference:
8
253
10 197
8. Determine if the following equations are linear or non-linear.
a) y  7 x 2
b) 2 x  7 y  10
c) y  4 x  3  2
d ) y  3  x  4   2
e) y  4 x  6
f ) y  x3  2 x  1
9. Identify the rate of change and state whether the function is increasing, decreasing, or neither.
1
 2x
2
1
e) y   x
4
a) y  3x  4
b) y  5
c) y 
Rate of change:
Rate of change:
Rate of change:
Rate of change:
Inc. or Dec.?
Inc. or Dec.?
Inc. or Dec.?
Inc. or Dec.?