Solve for the unknown:
12 42

x 35
Answer:
12 42

x 35
12(35)  35( x)
420  35 x
420 35 x

35
35
10  x
Describe part 3 in the graph below.
Include details about time, speed,
direction and distance.
Emily's Trip to the Mall
Distance from the mall
(km)
20
18
16
14
12
10
8
6
4
2
0
0
5
10
15
20
Tim e (m inutes))
25
30
Answer
• Emily drove 10 km in 20 minutes at 0.5
km/minute away from home.
Compare direct and partial
variation.
Answer
• Both direct and partial variation are a
straight line when graphed, but direct
variation starts at (0,0) and partial variation
does not start at (0,0).
Write an equation to represent this
situation.
Let M be the amount of money earned, and
let b be the number of bags of leaves
raked.
Chloe's Business
Money Earned
50
40
30
20
10
0
0
1
2
3
4
5
6
7
8
Num ber of bags of leaves raked
9
10
Answer
M = 5b + 10
Write an equation to represent this
situation:
Katrina noticed fraudulent activity in her
bank account. Her account originally had
$400 in it, but the balance has gone down
by $25 each week.
Let B be the balance in the account and let
w be the number of weeks.
Answer
B = -25w + 400
Using the equation from the last
question, if there is only $225 left in
the account, how many days has
the fraudulent activity been going
on for?
Answer
B  25w  400
225  25w  400
225  400  25w
175  25w
175 25w

25
25
7w
Therefore if
$225 remains,
then the
fraudulent
activity has
been going on
for 7 weeks.
Calculate the slope of the line on
the graph:
8
4
0
- 10
-8
-6
-4
-2
0
-4
-8
2
4
6
8
10
Answer
4
m
2
2
m
1
m  2
Calculate the slope of the line
joining the following points:
A (1,-4) and B (6,6)
Answer
y2  y1
m
x2  x1
6  (4)
m
6 1
64
m
6 1
10
m
5
2
m
1
m2
Does the table below represent a
linear or non-linear relation?
Explain your answer.
x
-2
0
2
4
y
10
8
5
1
Answer
The table represents a non-linear relation.
Although the pattern in the x’s is constant,
the first differences (differences in the yvalues) are not constant.
Determine the initial value, the rate
of change, and equation to
represent the situation below.
Let M be the money raised, and let d be the length of the charity campaign in
days.
Number of Days
Money Raised
0
5
10
15
20
25
50
150
250
350
450
550
Answer
Initial value: $50
Rate of Change: $20/day
M = 20d + 50