CORE 3
Chapter 3 Review
1.
Name:
Fill in the diamonds below:
[A]
[B]
-21
[C]
30
32
-3
-7
17
-3
-18
2.
[D]
Evaluate 3 x 2  2y   y  x  when x = -3 and y = 5
3. Determine which of the expressions below is greater or whether the expressions are equal.
Left
Right
2x – 1 + 3 – (2x - 2)
[A] Left
[B] Right
-x + 2+ 2x – (-x – 1 +2x)
[C] Equal
[D] Cannot be determined
4. If the area of a rectangle is 54 cm2, list 4 possible dimensions of the rectangle, and calculate
the perimeter of each:
Dimensions
Perimeter
a)
b)
c)
d)
Property of Haverford Middle School Mathematics Department CC3TChpt3L2 2014-2015
CORE 3
Chapter 3 Review
Name:
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 (non-calculator) reasons.
Section II
Short Answer
5. Find the rule that best models the data in the table below.
x
y
-1
4
0
1
1
-2
2
-5
3
-8
4
-11
Rule:___________________________
6.
Based on the tile pattern below, how many tiles would Figure 12 contain?
Figure 12 = _________ tiles
7. Fill in the blank in the problem below so that the equation has an infinite amount of solutions
(x could be anything)
5x + ____ = 2x – (5 – 3x)
Property of Haverford Middle School Mathematics Department CC3TChpt3L2 2014-2015
CORE 3
Chapter 3 Review
Name:
8. Match the rules stated in words with one of the algebraic expressions listed on the right.
Draw a line from each letter to each number response. Not all answers will be used.
1)
8x - 3
a. twice as much as the sum of a number
and 2
2)
2(x + 2)
b.
seven less than twice a number
3)
2(x + (-7))
c.
three less than eight times a number
4)
2x + 2
5)
-7 + 2x
Read each task carefully and think about the best way
to answer it. You may be asked to respond to tasks using words, numbers, drawings,
equations, and/or diagrams
9.
Create a tile pattern that grows by 2 tiles for every new figure. Draw figures 0, 1, 2, and 3
of your pattern. Figure 1 has six tiles.
Fig 0
a.
fig 1
Make an x-y table to match your drawings.
x
y
b.
fig 2
0
1
2
3
5
Write an equation (rule) for the table.
y = ______________________
Property of Haverford Middle School Mathematics Department CC3TChpt3L2 2014-2015
fig3
CORE 3
Chapter 3 Review
10.
Name:
Consider the rule y = 2 − (𝑥)2
a. Make a table and complete graph for the rule.
x
y
(-4)
(-2)
(0)
(2)
(4)
11. Solve the equation for x. Use a check to verify your solution.
-2(x – 3) + 4x = -(-x + 1)
ck:
Property of Haverford Middle School Mathematics Department CC3TChpt3L2 2014-2015