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Integrated Algebra Regents Review #3
Date Due: ___,__,____
Directions:
Choose the best answer. Answer ALL questions. Show ALL
work in column 2. If there is no mathematical work to be shown, write an
explanation to support your answer! (10 points + 2 extra credit if turned in
early!)
1. Given: Set A = {(-2,-1),(-1,0),(1,8)}
Set B = {(-3,-4),(-2,-1),(-1,2),(1,8)}
What is an intersection?
What is the intersection of sets A and B?
[1]
[2]
[3]
[4]
{(1,8)}
{(-2,-1)}
{(-2,-1),(1,8)}
{(-3,-4),(-2,-1),(-1,2),(-1,0),(1,8)}
2. A prom ticket at Smith High School is
$120. Tom is going to save money for the
ticket by walking his neighbor’s dog for
$15 per week. If Tom already has saved
$22, what is the minimum number of
weeks Tom must walk the dog to earn
enough to pay for the prom ticket?
[1] 6 weeks
[3] 8 weeks
[2] 7 weeks
[4] 10 weeks
3. There’s a sale on PlayStation 3’s at Best
Buy. The system was marked down from
$399.99 to $349.99. What is the
percent of change to the nearest
percent?
[1] 12%
[3] 13%
Write an inequality
Show work
[2] 12.5%
[4] 14%
1
4. The perimeter of a rectangle is 60 feet.
If the length is 2 more than 3 times the
width, what is the length of the
rectangle?
[1] 7 feet
[2] 23 feet
[3] 14.5 feet
[4] 15 feet
5. Find the mean of the following set of
numbers:
{12, 18, 20, 22, 36, 40, 55, 23, 44}
[1] 42
[2] 23
6. Evaluate:
[1] 8
[3] 19
10
Show work
[4] 30
Show work
16  36
[2]
Write an expression for length, width and
solve
[3] 10
[4] 2 10
7.The diagram shows the relationship
between set A and set B.
What is a complement
If A = {1,2,3,4,...,100} and B = {5,6,7,...,98},
list the items in the complement of B.
[1] {1,2,3,99}
[2] {1,2,3,4}
[3] {1,2,3,4,99,100}
[4] {99,100}
8.Put these numbers in increasing numerical
order:
 , 9 ,3 101 ,3.2
[1]
 , 9 ,3 101 ,3.2
[2]
1
9 ,3 10
, ,3.2
[3]
1
9 , ,3.2,3 10
[4]
1
3 10
,  ,3.2, 9
Show work
2
9.The number
Show work
18 is between
[1] 1 and 3
[3] 8 and 10
[2] 4 and 5
[4] 17 and 19
10.The number 0.14114111411114… is
[1] integral
[3] irrational
Show work
[2] rational
[4] whole
11.Which is an irrational number?
[1]
9
[2] 3.14
[3]
3
4
Show work
[4]
3
12.Heather just inherited $2,998,000 from
her father. In proper scientific notation,
which of the following represents the
amount Heather inherited?
[1] 2,998  10 6
[2] 2.998  10 6
[3] 2.998  10 6
[4] 2.998  10 3
13.If 6 x  2 y  3 x  8 y , which of the following
Show work
Show work
must be true?
[1] x  2 y
[2] y  2 x
[3] y  x  2
[4] y  x  2
14.If 4r  5n  30  r , then n equals
[1] 10  1 23 r
[3] 6  53 n
Show work
[2] 6  r
[4] 6  53 r
3
15.Solve for x : 3( x  2)  5  2(5 x  4)
[1] x  1
[2] x  1 78
[3] x  3
[4] x  4
16.Let x be an odd positive number. What is
the solution set of  4  x  4 ?
[1] {1,3}
[3] {1,3,4}
[2] 126
[3] 3,024
Show work
[4] 6,561
18. Which is the correct verbal expression
for the mathematical expression 5 - 2x?
[1]
[2]
[3]
[4]
Show work
[2] {-3,-1,1,3}
[4] {0,1,3}
17. In the next Olympics, the United States
can enter four athletes in the diving
competition. How many different ORDERS
of four divers can be selected from a group
of nine divers?
[1] 36
Show work
Explain
Five less than two times a number.
Two times a number less than five.
Five more than twice a number.
Five times two plus some number.
19.Given A = {1,3,5,7,9} and B = {1,2,3,4,5}.
Find A ∪ B.
[1] {1,3,5}
[2] {1,2,3,4,5,7,9}
[3] {7,9}
[4] {2,4}
20.Simplify the following
expression:
[1] 6x7y4
[3] 36x5y4
What is a union
Show work
[2] 36x7y4
[4] 12x7y4
4
5