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NAME _______________________________________________________
FINDING SLOPE from various representations.
Pre-Algebra Unit 2 Review
1. 𝑦 = −3𝑥 + 4
2
2. 𝑦 = 3 𝑥 + 9
3. 𝑦 = −12
4. (9,7)(−6,10)
5. (13, −8)(10, −7)
6. (5,0)(0,15)
7.
8.
x
y
-4
12
-10
20
-16
28
x
y
3
1
7
2
11
3
9.
10.
11.
12.
WRITING EQUATIONS of a line.
1
1. 𝑚 = 2 (0,5)
2. 𝑚 = 1 (0, −3)
3. (−9,12)(0,3)
4. (7,5)(9,15)
5.
6.
x
y
0
12
2
20
4
28
x
y
7.
5
11
7
15
9
19
8.

y







x












y
x














Find the missing (x,y) coordinate.
1. 𝑚 = −2
(3, 𝑦)(2,10)
2. 𝑚 = 4
(10,12)(16, 𝑦)
3. 𝑚 = 1
(1,7)(𝑥, 5)
4. 𝑚 = −5
(𝑥 − ,15)(2,10)
Interpreting Slope
1.
2.
What is the slope and what does it represent?
3. A group of friends are going to the local carnival. The cost for attending the carnival can be
represented by the equation C = 1.50r + 10.00 where r represents the number of rides each person can
ride and C represents the total cost to enter the carnival and ride any number of rides. What is the slope
of the equation and what does it represent in this situation?
4. Michelle become a member of a local gym but to become a member she had to pay a deposit when she
signed up for the gym. In addition she pays a monthly fee to continue using the gym. The equation
below represents the monthly amount Michelle pays for her membership to the gym for x number of
visits.
y = 10x + 75
What is the slope of the equation and what does it represent?
5. Dionne pays a fixed fee plus an hourly rate to rent a boat. The table below shows how much Dionne
paid for the boat. What was Dionne’s hourly rate to rent the boat?
6. Veronica works as a babysitter to earn money for summer break. The table below shows how much
Veronica charges for babysitting up to 3 children.
Veronica’s
Babysitting Money
Money
Hours
Earned($)
2
15
4
30
6
45
8
60
What is the slope of the table and what does it represent?
Domain and Range/Identifying Functions/Input and Output
1. What is the domain and range of the following relation?
{(3, 7), (−1, 5), (0, −3), (6, 2), (3, 8)}
2. What is the domain and range of the following relation?
x 4 5 6 7 8
y
2
0
1
0
-3
3. Determine if each of the following relationships represent a function:
a. {(3, 7), (−1, 5), (0, −3), (6, 2), (3, 8)}
b.
c.
x
1
2
3
4
5
y
2
-3
-3
1
-3
d.
4. Given the following equation, determine the missing output values:
𝑦 = −2𝑥 + 4
x
-1
0
3
5
y
e.
Solving Linear Equations
Solve the following equations.
1. 3𝑥 + 14 = 35
2. 22 = 7𝑥 − 13
3. 2(3𝑥 − 4) = 16
4. −3(−3 − 4𝑥) = 33
5. 6𝑥 + 13 − 3𝑥 − 7 = 45
6. 2𝑥 − 4𝑥 + 6 − 8 = 14
7. 3(2𝑥 + 4) − 4𝑥 + 7 = 31
8. 9𝑥 − 3(4 + 2𝑥) + 14 = 11
Rate of Change
Using the rate of change, put the following linear relationships in order by magnitude. NOTE: Graphs are
not drawn to scale.
1. _______
2. _______
3. _______
A.
B.
X
Y
1
3
3
9
5
15
7
21
9
27
11
33
13
39
D.
C.
E.
X
Y
3
1
9
3
15
5
21
7
27
9
33
11
39
13
4. _______
5. _______
6. _______
Marvin is ordering custom uniform socks for the
school soccer team. Sock Company charges Marvin $4
per sock plus a $25 flat fee for shipping and handling.
𝑦=
5
2
𝑥 + 12
F.