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Term 1 Practice

Total questions: 50

Worksheet time: 50mins

Name
Class
Date
1.

0.2222222..... is an example of a

a)

terminating decimal

b)

complicated problem

c)

repeating decimal

d)

fraction

2.

Convert 2/3 to a decimal

a)

0.33

b)

0.232323...

c)

1.5

d)

0.66...

3.

Would -1.337 be considered a rational number?

a)

True

b)

False

4.
Which of the following numbers is irrational?
a)
√8
b)
¾
c)
2
d)
-1.325
5.
Which of the following is rational?
a)
.211232112421125. . . .
b)
π
c)
√25
d)
√12
6.

Level 1

Which number is NOT a perfect square?

a)

196

b)

169

c)

121

d)

132

7.

Level 1

If I know the area of a square, how do I find the side length?

a)

I square the area.

b)

I divide the area by 2.

c)

I take the square root of the area.

d)

I divide the area by 4.

8.

Level 2

Identify the letter that best estimates the following square root on the following number line.

√156

a)

d

b)

b

c)

c

d)

e

9.

Level 3

What is the best estimate for the √63?

a)

7.1

b)

7.3

c)

7.5

d)

7.9

10.
Anything raised to a power of zero is always: 
a)
0
b)
1
c)
itself
d)
negative
11.
According to exponent rules, when we raise the power to a power we _______ the exponents.
Example: (d2)5
a)
add
b)
subtract
c)
multiply
d)
divide
12.
According to exponent rules, when we multiply two power with the same base we _______ the exponents.
Example: c6 ⋅ c4
a)
add
b)
subtract
c)
multiply
d)
divide
13.
According to exponent rules, when we divide two powers with the same base we _______ the exponents.
Example: h8 / h3
a)
add
b)
subtract
c)
multiply
d)
divide
14.

Simplify using your exponent rule(s) (-2)³⋅(-2)⁶

a)

(-2)⁹

b)

(-2)¹⁸

c)

(-2)⁻³

d)

(-2)

15.
Evaluate this expression using the quotient rule.
a)
95
b)
99
c)
15
d)
9-5
16.
Simplify (-1/2)0
a)
1
b)
0
c)
-1
d)
-2
17.
Simplify (24)(25)
a)
220
b)
49
c)
420
d)
29
18.
Simplify (6x7)2
a)
12x14
b)
36x14
c)
6x14
d)
6x9
19.
What is the value of (-2)3?
a)
-8
b)
-6
c)
6
d)
8
20.
What is 9.2 x 10in standard notation?
a)
9,200
b)
92,000
c)
920,000
d)
920
21.
What is 2.8 x 10-4 in standard notation?
a)
28,000
b)
280,000
c)
.00028
d)
.000028
22.

Which of the following is correct scientific notation?

a)

20.35 x 104

b)

.2035 x 104

c)

2035 4

d)

2.035 x104

23.

UNDERSTANDING:

The first number in scientific notation must be...

a)

between and including 0 and 10

b)

between and including 1 and 9.9999

c)

between and including 0 and 9.999

d)

between and including 1 and 10

24.

A rectangular section of land made up of wheat farms measures 5 x 104 meters and a width of 6 x 103 meters. What is the area of land in square meters? [Area = length x width]

What operation do you use?

a)

addition

b)

subtraction

c)

multiplication

d)

division

25.

Neptune is approximately 5 x 104 kilometers in diameter. Mars is approximately 7 x 103 kilometers in diameter. How much larger is the diameter of Neptune compared to the diameter of Mars?

What operation would you use?

a)

addition

b)

subtraction

c)

multiplication

d)

division

26.
A piece of notebook paper is approximately 1.3 x 10-2 inches thick. Frankie cleaned out his math notebook and had a stack of 243 pieces of paper. How tall was his paper stack?
a)
5.3498 x 10-5 
b)
5.3498 x 105 
c)
3.159 x 100
d)
3.159 x 101
27.
What is the simplified version of
a)
3.9 x 106
b)
4 x 1020
c)
4 x 106
d)
3.9 x 1020
28.
How many times bigger is the distance from the Earth to the Sun of 9 x 106 miles than the largest distance from the Earth to the Moon of 3 x 105 miles? 
a)
3 times bigger
b)
3 x 101 times bigger
c)
3 x 1011 times bigger
d)
2.7 x 1012 times bigger
29.
Students at Eastern Florida State College pay 2 ×104 dollars for tuition. Students at George Washington University pay 4 ×105 dollars. How many times greater is the tuition at George Washington?
a)
2  x 100 times greater
b)
8 x 1020 times greater
c)
2 x 1020 times greater
d)
2 x 101 times greater
30.
Write the answer in scientific notation.
4.1 x 105 +   5.5 x 106  =

a)
5.91 x 106
b)
9.6 x 105
c)
9.6 x 1011
d)
4.65 x 105
31.
4x + 7 = 23
a)
x = 16
b)
x = 4
c)
x = 9
d)
x = 12
32.
What is the first step to solve this equation:
11 - 3x = 44
a)
Add 3 to both sides
b)
Subtract 11 from both sides
c)
Add 11 to both sides
d)
Divide 3 on both sides.
33.
Solve for f:
f - 4 = 6f + 26
a)
f = -5
b)
f = 5
c)
f = 6
d)
f = -6
34.
Solve the equation:
7x - 4 = 3 + 8x
a)
x = 7
b)
x = -7
c)
x = 2/7
d)
x = 11
35.
What is the solution to this equation?
a)
one solution
b)
no solution
c)
infinite solutions
d)
none of these
36.
Solve:
2x + 1 = 2x - 1
a)
No Solution
b)
x = 0
c)
Infinitely Many Solutions
37.
Solve:
3x + 15 = 3(x + 5)
a)
No Solution
b)
x = 15
c)
Infinitely Many Solutions
38.

Simplify each equation. Tell whether the equation has one, no, or infinite solutions.

3x - 8 = 3(x - 4) + 1

a)

one

b)

no solutions

c)

infinite solutions

39.

What is the other name for Halloween?

a)

All Saints' Eve

b)

All Hallows' Eve

c)

All Halloweens' Eve

40.

Where did this holiday come from?

a)

Great Britain

b)

USA

c)

Canada

d)

Australia

41.

It takes Joe 135 minutes to carve a Jack O' Lantern. It takes Suzy 78 minutes. How many minutes less does it take Suzy?

a)

63

b)

57

c)

213

d)

5

42.

The pumpkin patch has 400 pumpkins. 267 are sold. How many pumpkins are left?

a)

667

b)

267

c)

133

d)

233

43.

6. Amanda went to 42 houses on Halloween night. Her friend, walked to 25 houses. How many more houses did Amanda visit?

a)

23

b)

67

c)

63

d)

17

44.
Mr. Rauch wants to share a bag of candy with his favorite 5 students. Each student would get 1/5 of the bag. What decimal should he give each student
a)
0.5 of the bag
b)
0.2 of the bag
c)
0.25 of the bag
d)
0.3 of the bag
45.
Zack, Aidan, James, and Mr. Rauch went trick or treating.  They combined all of their candy.  They got a total of 31 pieces.  They decided to share it evenly.  How many pieces will each person get?
a)
 7 pieces each
b)
7.3 pieces each
c)
7.25 pieces each
d)
7.75 pieces each
46.
Mr. Rauch bought 5 bags of candy spending a total of $20.35. If each bag cost the same, what is the price per bag?
a)
$4.47
b)
$4.07
c)
$4.70
d)
$4.17
47.
A bag of candy that had 55 pieces of candy in it cost $8.80. How much was 1 piece of candy.
a)
$0.16
b)
$0.15
c)
0.14
d)
None of these
48.
Mr Rauch has a bag of candy with 24 Snickers and another with 60 Reese's Cups. If he wanted to give goody bags with equal amounts in each, what is the greatest number of goody bags he could make?
a)
12 bags
b)
6 bags
c)
3 bags
d)
24 bags
49.
On what day is Halloween celebrated?
a)
30th October
b)
31st October
c)
1st November
50.
What type of being is Dracula?
a)
vampire
b)
goblin
c)
ghost