Download NovemberReview - Haverford School District

CORE 3
November Review
Section I
Name:
Read the questions carefully.
Circle the correct answer.
Multiple Choice
1. Four tile patterns (A, B, C, and D) are represented by the rules or tables below.
A) y = 9 + 3x
B)
C)
X
Y
D)
2
22
3
26
4
30
y = 5x - 2
X
Y
5
34
5
19
4
16
3
13
2
10
i.
Which of the tile patterns above has the greatest growth factor? _____________
ii.
Which of the tile patterns above have the same growth factor? ______________
For each item, show all work. Clearly label any rules, graphs,
tables, or other objects that you use. Your work will be graded
on the correctness and completeness of your methods as well as your answers. Answers without
supporting work may not receive credit. Justifications require that you give mathematical (noncalculator) reasons.
Section II
2.
Short Answer
Complete the table and write a rule for your pattern.
x
2
1
y
0
1
2
-1
-3
-5
3
4
5
-9
Rule: ______________________________________
3.
Classify each of the following numbers as rational (r) or irrational number (i).
(a)
81
_______
(b)
4. 8̅
_______
Property of Haverford Middle School Mathematics Department
(c) √20_______
CORE 3
November Review
4.
Name:
State the growth factor of for each of the following graphs.
[A]
[B]
GF:___________
GF:___________
5. Use the information about each tile pattern below to find the rule:
a)
This tile pattern has 7 tiles in figure 0 and grows by 4 tiles between figures
Rule:_______________________
b)
This tile pattern shrinks by 3 tiles between figures and has 11 tiles in figure 0
Rule:________________________
c)
This tile pattern has 9 tiles in figure 1 and grows by 5 tiles between figures.
Rule:________________________
Property of Haverford Middle School Mathematics Department
CORE 3
November Review
6.
Name:
Write down everything you can about the following tile pattern based on the x → y table below:
Growth Factor : ____________________________________
Figure 0 : _________________________________________
X
Y
3
19
7
43
4
25
1
7
8.
Use the rule y = 2x + 1 to draw Figures 1, 2, and 3 for a tile pattern. Make sure your tile pattern is
drawn in such a way that it show off the important parts of the rule. Remember x represents the figure
number and y represents the number of tiles in each figure.
Figure 1
9.
Figure 2
Figure 3
Study the figures in the pattern below.
a. Draw Figures 4 and 5 on the graph space above.
b. How many tiles will Figure 13 have? Show how you found your answer.
c. How tall will Figure 106 be? Be clear enough so that a new student to the class would
understand.
Property of Haverford Middle School Mathematics Department
CORE 3
November Review
Name:
10.
Find the value of x in each equation below. Check your answer if possible.
a)
3x – 2 + 4 = x - 6
b)
3x – 7 + 9 – 2x = - (-x – 2)
c)
0.5x = x + 5
d)
2(x + 3) = -(x + 4) + 3x - 2
Property of Haverford Middle School Mathematics Department