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Academic Final Exam Review Part III
(LAST PART- YOU ARE ALMOST FINISHED!!Y ! STAY MOTIVATED@ )
1. What is the result of the transformation below?
(x, y) --> (-x, y)
A, Reflection across the x-axis
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(ÿ Reflections across the y-axis
C. 90 ° rotation clockwise
D. 90° rotation counterclockwise
,
The vertices of a triangle are (-1, 5), (-4, 1) and (-3, 6). Which grid represents the
resul
reflecting the triangle across the x-axis?
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• ..ÿ.,,:...< ÿ.,.$,.,ÿ,,
,,1 ,), !,+,-Q
I : I , i 1
...... i4--i ..... :
xÿ.ÿ-ÿ.ÿ; ...... b..
,
Sam went to an amusement park. From the main entrance he used the algebraic
representation (x, y) -ÿ (x - 10, y + 14) to walk to a ride. Which ride did Sam
walk to?
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4. If rectangle ABCD was reflected across the x-axis, what would be the coordinates
of C?
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A. (-2, 1)
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,-] -1, ,, p,i,,l,,I 1,
B. (2, 1)
(ÿ2, -1)
D. (-1, 2)
$ ,,.. , + , .,- i 4 ÿ I
; : :+
!,! ÿ
5. Which type of transformation is illustrated in the diagram below?
(-1,4) ................... (4,4)
A. Dilation
(-4+4) ii ......... .
...... -k+. ,,+4 ÿ-++
B. Reflection
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C. Translation
Rotation
(4J)
'--+--+4++ÿ
6. Figure TUVW is shown on the grid below. Which of the following shows the figure
TUVW after a translation of (x, y) --> (x + 2, y + 3) to form the image T'U'V'W?
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P
:ÿii!, +ÿii!,
-Y,i:,',: i, i : ! + ;:i:
,I .!. ; -:-i,,4 ....
"+?f?'v:H'ÿ-""
"ÿ % + ;"ÿ 1-4-r+
++i"m -ÿ+r:-rT"ÿ+r
Zii : L?,oLL:.
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-;-44,, ++;, ÿ+ ; -+
+ +o + ÿ l +,, i.o+
Use the following table to complete questions 7 and 8.
7. Calculate the mean absolute deviation for comedies.
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8. Calculate the mean absolute deviation for dramas.
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-- 12, 2q
9. Which movie category l:iS-ÿ'iÿiB¥ÿ'+i¢ÿariability?
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10. Lauren is comparing two data sets. Data set A has a mean absolute deviation of 4.5 and data set B
has a mean absolute deviation of 9.9. What conclusion can Lauren make about the two data sets?
A. The average of set A is greater than the average of set B.
B. The average of set A is less than the average of set B.
C. The data in set A is more spread out than the data in set B.
data in set A is less spread out than the data in set B.
11. Emma deposited $825 in an account that earns 2.5% simple interest. How much interest
will she earn in 3 years?
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12. Josiah borrowed $12,500 to buy his new car. He is being charged 6% 'simple interest for
48 months. How much will Josiah pay for the car?
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z_ - la,scc£.
13. Tyler borrowed $350 from quick loan. Quick loan charges 5% interest compounded
annually. How much will Tyler pay for his loan if it takes him 3 years to pay it off?
A- "p ¢1 ÿr"B
3
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14. Sarah invested $4000 at 5.2% interest compounded annually for 5 years. How much does
Sarah have aÿer 5 years? A =P (I 4- r :)
15. Carson invested $8,000 in a savings bond when he was 18. If he had $13,280 in the
account when he was 30, what was the interest rate?
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oÿ ,ÿa=ÿ_.d,.
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, _._---_----- cÿ.O0
27,qÿ,ÿ Z 0
qi{pO0 0
Ci O:ÿO(DO
16. If both figures havethe
ame perimeter, what is theÿf each figure?
o
_
--3\ ÿ'
x+3
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×,-
;
,X
x+7
17. Write the rule for each transformation"
a. Dilations with a scale factor of 3:
b. Dilation with a scale factor of !:
4
c. Reflection over x-axis:
d. Reflection over y-axis:
e.
Transformation 2 units left and 3 units up"
f.
Rotation 90° clockwise or 270° counterclockwise'
g.
Rotation 180°.
h.
Rotation 270° clockwise or 90° counterclockwise: (t' '\ r
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18. A squarÿmeter of 20 inches. If the square is dilated by a scale factor of 3, what
are thÿhsÿf the new square?
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Use the image below to answer #19-21.
19. Label the quadrants of the coordinate plane:
20. If the figure was rotated 180° what uadrant would
the new figure be located in? ......
21. If the figure was reflected over the x-axis, what
quadrant would the newfigure be located in?