Name _____________________________
Ch 3 Test 2AA Prelearn Packet
Complete all of this packet and hand it in when you start the test and you will get 5 points added to
your test score.
Your test will have the following topics on it:
• the equation of a line
• graphing, including real world applications
• exponents and scientific notation
• functions
When you do the packet, on the first day you will do all of the questions that are in this sequence
1, 4, 7, 10, 13, 16, 19, ……
On the second day, you will do the questions that are in the sequence 2, 5, 8, 11, 14, 17, 20,………
On the third day, you will do questions that are in the sequence 3, 6, 9, 12, 15, 18, 21, ………
Make sure you show lots of work so you get credit!!!! Time to start with the first topic, the equation of
a line:
Topic 1: The Equation of a Line
The general equation of a line is y = mx + b.
1a) What does m stand for and why do we use an “m”? __________________________________
b) What does b stand for and why do we use a “b”? ______________________________________
For numbers 2 – 9, find the slope and y – intercept of each:
!
2) y = 3x – 7
3) y = ! x + 2
4) y = -x + 3
5) 2y = 6x
6) 4y = 3x – 12
7) y – x = 5
8) 5y – 3x = 10
9) 2y + 8 = 4x
For each problem below, find the slope of the line connecting the points:
10) (1, 3) (5, 4)
11) (-1, 2) (3, 7)
12) (-3, -2) (-1, -5)
13) (0, 3) (4, -8)
In each question below, I write the equations of four lines. Two of the four lines in each question are
parallel, and two are not. For each set of lines, circle the two lines that are parallel.
14)
y = 2x – 9
y + 2x = 4
y – 2x = 7
15)
3y = -x + 12
y – 4x = 5
y = - ! x + 5
!
y + 4x = 1
16)
2y + x = 7
y = 2x + 17
4y + 8 = 8x
x = 2y – 3
Write the equation of each line drawn below:
17)
18)
19)
20)
2y = 6x – 8
21)
22)
23)
24)
25)
26)
Topic 2: Graphing Including Real World Applications
In this section, we look for rates of change, input output pairs and extensions of connected points to
generate a graph.
1) Mrs. Wilson’s oven increases in temperature at a constant rate. After 5 minutes,
the oven temperature is 150 degrees. After 10 minutes, the room temperature is 200
degrees. In the space below, graph the line representing the change in temperature
in the oven over the first 15 minutes.
b) What will the temperature be after 12 minutes? _____ 18 minutes? _______
c) At what temperature did the oven begin heating? ________
2a) Mr. Lindquist’s new Central Asian Shepherd puppy, Gibbs, is quickly gaining
weight. At 8 weeks old, Gibbs weighed 15 pounds. At 10 weeks, Gibbs weighed 27
pounds. Make a graph of Gibb’s weight gain (assuming he gains weight at a constant
rate) from ages 8 weeks to 14 weeks.
b) At this rate, what did Gibbs weigh at 9 weeks? ________
c) What will he weigh at 14 weeks? __________
3a) Louie’s Landscaping puts the same amount of money each week in the bank.
This money is added to some money he started with in the savings account After 3
weeks, he has saved $400. After 5 weeks, he has saved $500. Graph the amount of
Money saved by Louie below.
b) At this rate, how much will be saved after week 8? ________
c) With how much money did he begin the savings process? __________
d) If he wants to save up enough money to buy a Macbook Pro for $1275, how many
weeks will it take? __________
4) Louie’s Landscaping puts the same amount of money each week in the bank. This
money is added to some money he started with in the savings account After 3 weeks,
he has saved $420. After 5 weeks, he has saved $500. Graph the amount of Money
saved by Louie below.
b) At this rate, how much money does Louie save each week? ________
c) With how much money did he begin the savings process? __________
d) If he wants to save up enough money to buy a Macbook Pro for $995, how many
weeks will it take? __________
5) 1) Mrs. Wilson’s oven increases in temperature at a constant rate. After 5
minutes, the oven temperature is 160 degrees. After 10 minutes, the room
temperature is 220 degrees. In the space below, graph the line representing the
change in temperature in the oven over the first 20 minutes.
b) What will the temperature be after 12 minutes? _____ 18 minutes? _______
c) At what temperature did the oven begin heating? ________
6) Mrs. Wilson bakes cookies in her oven so she can earn extra money. She starts
with $75 in her account and adds $50 each week for 8 weeks. In the space below on
the right, create a table showing how much money is in the account at the end of any
week.
b) How much money will be in the account after 7 weeks? _____
c) Write a function rule A(w) that computes how much money is in the account after
w weeks. __________________
d) Use the function rule to predict how much money will be in the account after 15
weeks? __________