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Worksheets

mid year review

Total questions: 60

Worksheet time: 2hrs 22mins

Name
Class
Date
1.

Classify the number: -23

a)

natural, whole, integer, rational, real

b)

integer, rational, real

c)

integer, irrational, real

d)

whole, integer, rational, real

2.

Classify the number: 3

a)

natural, whole, integer, rational, real

b)

whole, integer, rational, real

c)

natural, whole, integer, irrational, real

d)

natural, whole, integer, rational

3.

-14 could be classified as all of these EXCEPT?

a)

Integer

b)

Real

c)

Rational

d)

Whole

4.

Classify the number: 0

a)

natural, whole, integer, rational, real

b)

integer, irrational, real

c)

irrational, real

d)

whole, integer, rational, real

5.

A non-repeating or non-terminating decimal is classified as ________________.

a)

rational, real

b)

irrational, real

c)

integer, rational, real

d)

whole, integer, irrational, real

6.

A repeating or terminating decimal is classified as ___________?

a)

rational, real

b)

integer, rational, real

c)

irrational, real

d)

whole, integer, irrational, real

7.

Classify the number:

a)

rational, real

b)

whole, Integer, rational, real

c)

integer, irrational, real

d)

irrational, real

8.
An example of an integer is...
a)
9.1
b)
8/9
c)
-9
d)
-2.3
9.
An example of a whole number is:
a)
4/9
b)
-9
c)
5.2
d)
17
10.

Classify the Number: 2.587

a)

irrational, real

b)

rational, real

c)

integer, rational, real

d)

integer, irrational, real

11.

Which number is an irrational number?

a)

2.33333 . . .

b)

5.72314.....

c)

5.72

d)

52

12.
√100
a)
10
b)
200
c)
5
d)
25
13.
Which of the following is a perfect square?
a)
39
b)
50
c)
6
d)
81
14.
Which of the following is NOT a perfect square?
a)
1
b)
4
c)
100
d)
8
15.
169
a)
Is a perfect square.
b)
Is not a perfect square.
16.
What is √196?
a)
14
b)
16
c)
46
d)
98
17.
√256
a)
15
b)
17
c)
153
d)
16
18.
142
a)
169
b)
196
c)
28
d)
144
19.
112
a)
132
b)
144
c)
121
d)
22
20.
Which of the following is NOT a perfect square?
a)
49
b)
100
c)
64
d)
80
21.
√ 36
a)
4
b)
6
c)
12
22.
22
a)
2
b)
4
c)
5
d)
6
23.
√ 81
a)
8
b)
7
c)
10
d)
9
24.
What is the square root of 144?
a)
4
b)
12
c)
16
d)
32
25.

A perfect square is a number whose square root is ___________.

a)

even

b)

a never-ending

(non-terminating) decimal

c)

rational

d)

odd

26.
To find the square root of a number, you must divide it by 2.
a)
True
b)
False
27.
The √20 is between which two consecutive integers?
a)
2 & 3
b)
3 & 4
c)
4 & 5
d)
5 & 6
28.
Between which two consecutive whole numbers is the√200? 
a)
13 and 14
b)
15 and 16
c)
14 and 15
d)
11 and 12
29.
How would you write 4.3756 x 10in standard form?
a)
437,560,000
b)
0.00043756
c)
43,756
d)
4,3756
30.

How would you write 0.0005 in scientific notation?

a)

50 x 10-5

b)

5 x 10-4

c)

5 x 103

d)

.5 x 103

31.
Which of the following is correct scientific notation?
a)
20.35 x 104
b)
.2035 x 104
c)
2035 4
d)
2.035 x104
32.

If the exponent is a positive number the original number was...

a)

a really big number.

b)

a really small number.

33.

If the exponent is a negative number the original number was...

a)

a really large number.

b)

a really small number.

34.

What do you do to your exponents when you are dividing in scientific notation?

a)

Subtract

b)

Divide

c)

Multiply

d)

Add

35.

What do you do to your exponents when you are multiplying in scientific notation?

a)

Subtract

b)

Multiply

c)

Divide

d)

Add

36.
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
37.

If you add to your exponent of 10, you move your decimal...

a)

Left

b)

Right

c)

Up

d)

Down

38.

If you subtract from your exponent of 10, you move your decimal to the ....

a)

Right

b)

Left

c)

North

d)

South

39.
What is the simplified version of
a)
3.9 x 106
b)
4 x 1020
c)
4 x 106
d)
3.9 x 1020
40.
Subtract withing scientific notation 
(7.32 x 10⁶) - (4.01 x 10⁸)
a)
-3.937 x 10⁸
b)
3.937 x 10⁸
c)
3.937 x 10⁷
d)
3.937 x ⁻²
41.
Add withing scientific notation 
(5.2 x 10⁷) + (3.01 x 10⁴)
a)
5.20301 x 10¹¹
b)
.520301 x 10⁷
c)
5.20301 x 10⁷
d)
5.20301 x 10⁸
42.

5(3x + 5) + 2x

a)

17x + 5

b)

17x + 25

c)

25x + 25

d)

50x

43.

13(18x + 6)\frac{1}{3}\left(18x\ +\ 6\right)  

a)

6x + 2

b)

54x + 18

c)

25x

d)

8x

44.

3(6x + 3) + 2(x + 4)

a)

17x

b)

16x + 1

c)

27x

d)

20x + 17

45.

12(4x + 2)\frac{1}{2}\left(4x\ +\ 2\right)  

a)

3x

b)

2x + 2

c)

2x + 1

d)

8x + 4

46.
What would be the best first step to solving the equation?
-3=x+5
a)
add 3 to both sides
b)
subtract 5 from both sides
c)
add 5 to both sides
d)
subtract -5 from both sides
47.
What would be the best first step to solving the equation?
-6x=-24
a)
multiply both sides by -6
b)
divide both sides by -6
c)
add 6  to both sides
d)
subtract -6  from both sides
48.
x + 12 = 20
a)
x = 32
b)
x = -32
c)
x = 8
d)
x = -8
49.
Solve the equation
3x = 27. 
a)
x = 24
b)
x = 81
c)
x = 9
50.
Which equation has x = 5 as the solution?
a)
x + 15 = 10
b)
2x = 5
c)
2x = 10
51.
4 = 2(x + 3)
a)
1/2
b)
7/2
c)
-1
d)
5
52.
Solve: 5x - 14 = 8x + 4
a)
6
b)
-6
c)
-18/13
d)
10/3
53.
3y+6+4y-7=-8
a)
y=-1
b)
y=-8
c)
y=1
d)
y=7
54.
10(h+1)-4=76
a)
h=10
b)
h=4
c)
h=7
d)
h=76
55.
2x + 3 = 2x + 7
a)
0
b)
4
c)
no Solution
d)
All real numbers
56.
2x + 3 = 2x + 3
a)
0
b)
1
c)
no solution
d)
all real numbers
57.
Solve for f:
f - 4 = 6f + 26
a)
f = -5
b)
f = 5
c)
f = 6
d)
f = -6
58.
Solve for x:
5x - 14 = 8x + 4
a)
x = 6
b)
x = -6
c)
x = -18/13
d)
x = 10/3
59.
Solve the equation
4x - 5x + 9 =5x - 9
a)
x = -3
b)
x = 9
c)
x = 3
d)
x = -9
60.

The goal of solving a one, two, or multi-step equations is to:

a)

Find the constant

b)

Find the coefficient

c)

Find the value of the variable

d)

Be confused