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Grade 7 Semester 1 Review

Total questions: 57

Worksheet time: 4hrs 2mins

Name
Class
Date
1.
8/21 + (-10/21)
a)
2/21
b)
-2/21
c)
18/21
d)
10/21
2.
-3/8 - 1/2
a)
-7/8
b)
1/8
c)
-4/8
d)
-2/8
3.
7/8 - (-2/5)
a)
9/40
b)
51/40
c)
5/40
d)
5/3
4.
Find the sum.  Be sure to simplify.
3 + (-5/7)
a)
3 5/7
b)
-3 5/7
c)
-2 2/7
d)
2 2/7
5.
Numbers like -3, -2, -1, 0, 1, 2, 3 are called
a)
whole numbers
b)
integers
c)
rational numbers
d)
natural numbers
6.
0.8 is a rational number
a)
True
b)
False
7.
How would 5/9 be classified?
a)
rational and real
b)
whole and integer
c)
only real
d)
only irrational
8.
How would 0.333... be classified?
a)
rational and real 
b)
real and whole
c)
only integer 
d)
only irrational
9.
A decimal value that is non-terminating and non-repeating is a/an
a)
natural
b)
whole
c)
rational
d)
irrational
10.
π (pi) is an example of a/an
a)
integer
b)
rational
c)
undefined
d)
irrational
11.
3/10 + 4/5
a)
7/5
b)
1/5
c)
11/10
d)
7/10
12.
Divide.
a)
-2/3
b)
2/3
c)
-3/8
d)
3/8
13.
What is a square?
a)
Something you multiply by the 3rd power
b)
A shape
c)
A number you multiply by itself
14.
True or false? 9² is 18
a)
True
b)
False
15.
√ 81
a)
8
b)
7
c)
10
d)
9
16.
The √20 is between which two integers?
a)
2 & 3
b)
3 & 4
c)
4 & 5
d)
5 & 6
17.
The √40 is between which two integers?
a)
7 & 8
b)
6 & 7
c)
5 & 6
d)
4 & 5
18.
144
a)
Is a perfect square.
b)
Is not a perfect square.
19.
Anything raised to a power of zero is always: 
a)
0
b)
1
c)
itself
d)
negative
20.
Write each product using an exponent. 
4 x 4 x 4 x 4 x 4 
a)
45
b)
54
c)
46
d)
46
21.
What is 53 ?
a)
5
b)
15
c)
75
d)
125
22.
Select the equivalent expression 
(c6)4
a)
c24
b)
c10
c)
24c
d)
c64
23.
Select the equivalent expression 
t5/t4
*the slash represents a fraction bar
a)
t
b)
t20
c)
t9
d)
1
24.
Select the equivalent expression 
s9/s6
*the slash represents a fraction bar
a)
s3
b)
s15
c)
s45
d)
s-3
25.
Select the equivalent expression 
6-5
*the slash represents a fraction bar
a)
1/65
b)
1/6-5
c)
65
d)
61/5
26.
Select the equivalent expression 
a-3
*the slash represents a fraction bar
a)
1/a-3
b)
1/a3
c)
a3
d)
a/3
27.
Select the equivalent expression 
80
a)
0
b)
1
c)
8
d)
-8
28.
According to exponent rules, when we raise the power to a power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
29.
How would you write 564,000,000 in scientific notation?
a)
5.64 x 10-7
b)
5.64 x 106
c)
5.64 x 108
d)
56.4 x 107
30.
How would you write 4.3756 x 10in standard form?
a)
437,560,000
b)
0.00043756
c)
43,756
d)
4,3756
31.
How would you write -5.6 x 10-3 in standard form?
a)
0.0056
b)
-5,600
c)
0.00056
d)
-0.0056
32.
Multiply:
(3.4 x 105)(1.2 x 10-3)
a)
4.08 x 10-8
b)
4.8 x 102
c)
4.08 x 102
d)
4.08 x 10-15
33.
Divide:
(6.9 x 107) / (2.3 x 10-3)
a)
3 x 1010
b)
3 x 104
c)
3 x 10-4
d)
3 x 10-11
34.
Solve:
(2.1×102​​× (3.0×104)
a)
5.1 x 102
b)
6.3 x 106
c)
5.1 x 106
d)
6.3 x 108
35.
Solve:
(6 x 106) / (2 x 103)
a)
12 x 103
b)
3 x 109
c)
1.2 x 104
d)
3 x 103
36.
What is scientific notation?
a)
A long way to write really short  numbers
b)
A short way to write really long numbers
c)
I don't know...
d)
None of the above
37.
UNDERSTANDING
If the exponent is a positive number...
a)
you will get a large number
b)
you will get a smaller number
38.
UNDERSTANDING
If the exponent is a negative number...
a)
you will get a large number
b)
you will get a small number
39.
What is the opposite of squaring a number?
a)
dividing it
b)
multiplying it
c)
using fractions
d)
taking the square root
40.
To use the Pythagorean Theorem, the triangle MUST be what kind of triangle?
a)
obtuse
b)
scalene
c)
isosceles
d)
right
41.
side a on a right triangle is ALWAYS the longest side
a)
true
b)
false
42.
Which set of sides would make a right triangle?
a)
4,5,6
b)
8,10,12
c)
5,12,13
d)
5,10,12
43.
you ADD b2 and c2 then take the square root to find a on a right triangle.
a)
true
b)
false
44.
solve for x
a)
5552363959656.
b)
10
c)
100
d)
89
45.
Find the missing side
a)
9
b)
41
c)
6.4
d)
3
46.
Which set of sides would make a right triangle?
a)
4,5,6
b)
8,10,12
c)
5,12,13
d)
5,10,12
47.
A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?
a)
111.8 yards
b)
115 yards
c)
127.3 yards
d)
119 yards
48.
Find the distance.
a)
7.1
b)
7.8
c)
8.7
d)
8.9
49.
Suppose that on a Saturday morning you can cut 3 lawns in 5 hours, and your friend can cut  5 lawns in  8 hours.  Who is cutting lawns at a faster rate?
a)
I am cutting lawns a little faster
b)
My friend is cutting laws a little bit faster 
c)
We cut lawns at the same rate 
d)
I don't cut lawns SONNN
50.
 Which runs faster: a cheetah that can run 60 feet in 4 seconds or gazelle that can run 100 feet in 8 seconds?
a)
A cheetah at a unit rate of 14 ft per sec
b)
A gazelle at a unit rate of 12 ft per sec
c)
A cheetah at a unit rate of 15 ft per sec
d)
A gazelle at 12.5 ft per sec
51.
Mr. Keys made $90 in 5 hours.  What is the unit rate?  
a)
$18 per hour
b)
$1 in 18 hours
c)
$90:5h
d)
5 to 90
52.
Hamburger sells for 3 pounds for $6. If Alicia buys 10 pounds of hamburger, how much will she pay?
a)
$30
b)
$20
c)
$60
d)
$10
53.
Do the ratios form a proportion?
a)
Yes, they form a proportion.
b)
No, they do not form a proportion.
54.
Solve for x:  x/4 = 6/8
a)
4
b)
2
c)
3
d)
10
55.
Solve the proportion:
a)
4
b)
8
c)
14
d)
10
56.
Find the missing numerator:
2/3 = ?/9
a)
1/9
b)
4/9
c)
6/9
d)
7/9
57.
Which statement best describes what a ratio is.
a)
A number
b)
A comparison of two quantities using division.
c)
A comparison
d)
A comparison of many things.