Pre-Algebra – Mid-Unit Quiz Stations
Name: ____________________
Review
This will NOT be given to you on the quiz.
Rate of Change / Slope
change in the output (y) ∆Output
Rate of Change = Slope =
=
=
change in the input (x)
Linear
-Constant Rate of Change
Constant Slope
Not Linear
-NO constant rate of change
-NO constant slope
∆Input
𝑟𝑖𝑠𝑒
𝑟𝑢𝑛
Function
One input ONLY one output
Not a Function
One input  more than one output
Station 1
Determine if the following table, graphs, and or mappings represents a function or not.
Remember, to be a function: ONE INPUT leads to ONLY ONE output
Input
X
-4
-1
0
2
-1
3
Output
Y
10
5
6
7
-4
10
Function / Not a Function
Function / Not a Function
Function / Not a Function
Function / Not a Function
Explain:
Explain:
Explain:
Explain:
Station 2
Decide if the following tables, graphs, situations are linear or not. Explain.
∆Output
To be linear, the rate of change =
is ALWAYS the SAME
∆Input
Input
X
-2
-1
0
1
2
Output
Y
4
9
14
19
24
Bill has $20 and spends $2 each day.
Linear / Nonlinear
Linear / Nonlinear
Linear / Nonlinear
Explain
Explain:
Explain:
Station 3
Find the y-intercept of the following graphs/equations. Which one is higher?
(for equations, put 0 in for x and find y.
𝑦 = −5𝑥 + 3
Y-intercept: ( ,
)
Y-intercept: (
Which one is higher?
Station 4
)
Y-intercept: ( ,
)
Y-intercept: (
Which one is higher?
- Find the slope from the tables and graphs. Graph 1
Table 1
Input
X
-4
-2
0
2
4
6
,
y = 𝑥 2 + 5𝑥 + 6
Output
Y
-2
4
10
16
22
28
,
Graph 2
Table 2
Input
X
0
1
2
3
4
5
Output
Y
0
4
8
12
16
20
Slope:
Slope:
Y-intercept:
Proportional? Explain.
Slope:
Slope:
Proportional? Explain.
Station 5
Find the slope and y-intercept of the graphs below. Find the simplest slope as a ratio and show that rise
and run to find all the other points on the graph.
∫
Slope:
Slope:
Slope:
Y – Intercept:
Y – intercept:
Y – intercept:
)
Station 6
Use the given point and slope to find all other missing points in the table or graph. SHOW in the table or the
graph how the slope shows up.
Input
X
0
Slope = 4
Input
X
-3
Output
Y
-5
slope as a rate:
Slope =
Y – intercept:
Slope = -2 or
Output
Y
2
2
3
Y – intercept:
Station 7
1) Given the following situation, find the start value and the rate of change.
A) Bill currently has 58 dollars. He earns 5 dollars (d) every week (w).
Start Value:
(Y-intercept)
Rate of Change:
(Slope)
______________ depends on ____________
(Output)
(Input)
B) It is currently 12 degrees. The temperature (t) decreases 2 degrees per hour (h).
Start Value:
(Y-intercept)
Rate of Change:
(Slope)
______________ depends on ____________
(Output)
(Input)
2) Which situation has a faster rate of change?
A) Montel has driven 100 miles and drives at a rate of 120 miles every 2 hours.
Slope as a rate:
Simplest Slope:
B) Seth has driven 150 miles and drives at a rate of 150 miles every 3 hours.
Slope as a rate:
Simplest Slope:
Which situation has the higher
slope? Explain
Station 8
Decide if the table A are table B are linear or not.
Table A
Table B
Input
X
-4
-2
0
2
4
6
Output
Y
-8
-4
0
4
8
12
Linear/ Non Linear
Explain:
Proportional OR Not
Explain:
Find the slope of tables C and D.
Output
Y
10
16
23
31
39
49
Input
X
-2
-1
0
1
2
3
Linear/ Non Linear
Explain:
Slope:
Input
X
-3
0
3
6
9
12
Y – intercept: (
,
)
Output
Y
8
11
14
17
20
23
Proportional OR Not
Explain:
Input
X
-4
0
4
8
12
16
Output
Y
-3
0
3
6
9
11
Slope:
Y-intercept: (
,
)