Transcript Measurement and Geometry

“Measurement & Geometry”
Math-7 SOL Review Packet #4
2014
Topics:
Volume of Prisms and Cylinders
Surface Area of Prisms and Cylinders
Changing Attributes
Similar Figures
Quadrilaterals
Transformations
SOL’s Covered:
QUIZ NEXT CLASS ON THIS PACKET!
(Participate in-class and complete homework problems at
end of packet in order to be prepared!!)
“SPIRAL BACK” REVIEW PROBLEMS:
1)
Match the properties:
1._____ Inverse Property of Addition
A.
3 (2 · x) = ( 3 · 2) ·x
2._____ Commutative of Addition
B.
( 4 x + y) · 1 = ( 4 x + y)
3._____ Associative of Multiplication
C.
8(x + y) = 8(x) + 8(y)
4._____ Distributive
D.
(3 · x) + 8 = 8 + (3 · x)
5._____ Identity of Multiplication
E.
5 + (-2 + 2) + 6 = 5 + 0 + 6
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1
2) Write the algebraic sentence for the following:
“Three less than a
number is 28.”
3)
“Three less a
number is 28.”
“the product of a
number and 2”
“the quotient of a
number and 2”
If x = -2, evaluate the following algebraic expression:
3(x + 4)² - 3x
4)
Solve:
3x – 4 = -20
5)
Which of the following could be a solution to the inequality:
-9x > 27
A. -4
B. -3
C. -2
D. 3
2
“SPIRAL BACK” REVIEW PROBLEMS:
6)
7)
Write the equation that represents the following table:
x
y
-1
0
0
3
1
6
2
9
y=
Graph 3 points that are on the line represented by:
y = 3x – 1
8)
Evaluate the following:
-15 + 20 = _____
9)
-18 - (-2) = _____
-9(2) = _____
−45
−5
= _____
Write the multiplication sentence that the below model represents:
_____ x _____ = _____
10)
Write the division sentence that the below model represents:
_____ ÷ _____ = _____
3
Volume and Surface Area
1)
2)
3)
4
Volume and Surface Area
4)
5)
6)
7)
New State
Question!
5
Volume and Surface Area
8)
9)
New State
Question!
10)
11)
New State
Question!
6
Volume and Surface Area
12)
13)
New State
Question!
14)
New State
Question!
7
Volume and Surface Area
15)
New State
Question!
8
Similar Figures
1)
2)
New State
Question!
3)
4)
New State
Question!
9
Similar Figures
5)
6)
New State
Question!
7)
New State
Question!
10
Quadrilaterals
1)
2)
3)
4)
5)
6)
New State
Question!
11
Quadrilaterals
7)
Identify the classifications to which this figure belongs.
Parallelogram
Trapezoid
Quadrilateral
Rhombus
New State
Question!
Rectangle
8)
Select each figure that appears to be a rectangle.
9)
10)
New State
Question!
New State
Question!
New State
Question!
12
Transformations
1)
2)
3)
13
Transformations
4)
5)
6)
New State
Question!
14
Transformations
7)
8)
15
Transformations
9)
New State
Question!
10)
New State
Question!
11)
New State
Question!
16
Practice/ Homework Problems
(Study this packet and complete these homework problems in order to be prepared for quiz next class!!)
1)
New State
Question!
2)
3)
4)
5)
A cylindrical roll of paper towels will be covered in plastic. The diameter of the round
top/bottom is 6 in, and the height is 14 in. How many square inches of plastic will be
required to cover the entire roll?
17
Practice/ Homework Problems
(Study this packet and complete these homework problems in order to be prepared for quiz next class!!)
6)
7)
New State
Question!
8)
9)
18
Practice/ Homework Problems
(Study this packet and complete these homework problems in order to be prepared for quiz next class!!)
10)
11)
12)
13)
14)
New State
Question!
Original Coordinates: A (-7,3) B (-7,-2) C (-1,-2)
a)
Identify the coordinates of C prime after a dilation
by a scale factor of 2.
b)
Identify the coordinates of B prime after a rotation
of 180 degrees counterclockwise about the origin.
c)
Identify the coordinates of A prime after a
reflection over the y-axis.
d)
Identify the coordinates of C prime after a
translation 5 units to the right.
A
B
C
19
Practice/ Homework Problems
(Study this packet and complete these homework problems in order to be prepared for quiz next class!!)
15)
16)
17)
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