Download Discovery Math Summer 2016 Review Final Exam

Brooklyn Technical High School
Discovery Math
Final Exam Review Sheet
Summer 2016
1) Solve for W: P  2L  2W
Name _____________________________
Instructor: Mr. Rodriguez Period ______
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2) Solve for a: 75a  4  1  14  8a
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3) Simplify completely.
 56a 9
7a 3
4) What is the product of a  2 and a  9 ?
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5) Simplify completely:
3 54  5 24
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6) Point M divides line segment AB, in the direction from A to B, in a ratio of 2 to 7. What value on the
number line would indicate the location of point M?
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7) If x  10 and y  11 , what is the value of xx  y 
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8) Express the sum in simplest form:
6
7

5x 2x
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9) Perform the indicated operation and express in simplest form:
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10) One-fifth the sum of 2 consecutive integers is 29 less than the larger of the 2 consecutive integers. Find the
smaller of the 2 consecutive integers.
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11) Evaluate: 4 2  80
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12)


The expression 60 x 4  48x3  12 x 2  12 x is equivalent to what expression?
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13) Multiply out the expression:
4a b 
5 4 3
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14) What is the product of
15 x3 y 9 and  12 x3 y ?
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15) Factor completely:
3 y 2  9 y  30
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16) Simplify completely:
17 112
8.5 7
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17) Factor completely:
x10  9y 2
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18) Simplify completely:
a 4b

b a
2 1

a b
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 20

19) Evaluate:
 3
 16 2




2
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20) Write as an equivalent fraction with a rational denominator.
3 2
3 2
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21) Solve for all real values of x that satisfy the equation:
4 x  1 4  7  34
3
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22) Solve for all values of x that satisfy the equation: x
2

16
25
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23) Mike has 22 coins in his pocket, all dimes and quarters. The total is $4.45. How many quarters does he have in his
pocket?
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24) Which of the following numbers is irrational?
A)
25
B)
1
9
C)
1.44
D)
3
27
E)
4
100
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25) Evaluate:
6.2  5 3.7  5 
4
2
1.5  102
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