Download Name - White Plains Public Schools

Name __________________________ Date ______ Per. ___ Teacher _______________
Extended Problem of the Week #12: Due: _____________
Score ________
1.
___________________
2.
___________________
3.
___________________
4.
___________________
5.
___________________
6.
___________________
7.
___________________
8.
___________________
9.
___________________
10.
___________________
11.
___________________
12.
___________________
Part One – Multiple Choice
You must answer all questions in this section. (No calculators allowed for this part)
1) What is the Greatest Common Factor of
2) The set below contains only which type of
28, 42, and 56?
numbers?
3
15
 -7, 81 ,
, 2.5, 5 , 8
4
4
Explain or show work
a) 2
Explain or show work
b) 7
a) counting numbers
c) 14
b) whole numbers
d) 28
c) mixed numbers
d) rational numbers
3) The temperature one cold night was -9°F.
The temperature decreased by 6°F. What
is the new temperature, in °F?
Explain or show work
4) Solve the equation:
5t + 2(3 - t) = 33
Explain or show work
a) 3°F
a) 18
b) -15°F
b) 9
c) 15°F
c) 13
d) -3°F
d) 12
5) About 15 million Canadians visit the United
States each year. What is 15 million
written in scientific notation?
Explain or show work
a) 1.5 x 10
b) 15 x 10
7
c) 15 x 10
6
d) 1.5 x 10
6
7
6)
What is the least common multiple of
6, 12, and 21?
Explain or show work
a) 3
b) 36
c) 84
d) 252
7) What value for n will make the following
statement true?
128 = 2n
Explain or show work
a) 64
8) Which number is equivalent to the
expression below?
13  5

a) -18
Explain or show work
b) -8
b) 7
c) 18
c) 6
d) 8
d) 5
9) Which of the following has the value of
0.00001?
_______
a) 105
b) 10
-4
c) 10
-5
d) 10
-6
Explain or show work
10)
The solution to the equation below is?
2x – 5 = 30 – 3x
a) x = 7
b) x = -7
c) x = 35
d) x = -35
11) What is the length of side x in the right 12) What is the length of side x in the right
triangle below?
triangle below?
2
a)
29
b)
29
c)
7
d)
x
7
5
x
a) 81
b)
9
c)
3
d)
3
15
12
Part 2: You MAY use a calculator. You MUST show work or explanation in order to receive full credit.
13) The table shows the radius, in kilometers, of Earth and Saturn.
How much bigger is Saturn’s radius than Earth’s?
Radius, in kilometers
Earth
Saturn
Write your answer in standard form.
Show your work:
6.38 x 103 km.
6.0 x 104 in.
ANSWER: _____________________ kilometers
14) 90 students were asked (surveyed) if they shopped at the Galleria or at The Westchester.
- 32 students shop only at the Westchester
- 28 shopped at both malls
a) Use the information above to complete the Venn diagram below
Be sure to
- title the diagram
- label each circle
- place a number in each section of the diagram
Answer the following questions:
b) How many students shop at the
Westchester?
_________
c) How many students shop at the
Galleria?
_________
15) Solve and check the following equation:
3(4b – 9) = 2(3b + 12)
Check
Answer: ________________
16)
Part A-SHOW WORK
How long is the kite string? Round answer to the nearest tenth.
30m
25m
Answer: _________
Part B_SHOW WORK
Tina measures the distance between three cities on a map. The distances between the three
cities are 45 miles, 56 miles, and 72 miles. Do the positions of the three cities form a right
triangle? Explain!