Wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

FOA - Unit 1 Review B

Total questions: 56

Worksheet time: 3hrs 46mins

Name
Class
Date
1.
The number 100 is a perfect square.
a)
True
b)
False
2.
A number can be rational and irrational.
a)
True
b)
False
3.
What is true about irrational numbers?
a)
They are terminating decimals.
b)
They are non-repeating decimals.
c)
They are fractions.
d)
They are natural numbers.
4.
All numbers are real numbers.
a)
False
b)
True
5.
Which one is not a perfect square?
a)
100
b)
49
c)
117
d)
144
6.

Which is the decimal for 4/5?

a)

,08

b)

.45

c)

.8

7.
List all the classifications of numbers that apply to the real number. 
436
a)
Irrational 
b)
Rational, Integer, Whole
c)
Natural, Whole, Integer, Rational
d)
Rational, Integer
8.
Zero
a)
Rational, Integer
b)
Rational
c)
Rational, Integer, Whole
d)
Rational, Integer, Whole, Natural
9.
Which is the best estimate of the square root of 63?
a)
7.1
b)
7.3
c)
7.5
d)
7.9
10.

3\sqrt{3}  is considered a...

a)

Whole number

b)

Integer

c)

Irrational Number

d)

Rational Number

11.
The √40 is between which two integers?
a)
7 & 8
b)
6 & 7
c)
5 & 6
d)
4 & 5
12.
Classify this number:  6.7
a)
real
b)
real      rational
c)
real      rational        integer
d)
real   rational   integer   whole
13.
Is ½ a terminating decimal or a repeating decimal?
a)
terminating decimal
b)
repeating decimal
14.
Classify this number:  -12
a)
real
b)
real      rational
c)
real       irrational
d)
real         rational        integer
15.
A rational number:
a)
can be turned into a fraction.
b)
is only positive.
c)
can't have a decimal.
d)
is not a real number.
16.
Which number is an irrational number?
a)
2.5
b)
5.72314.....
c)
-17
d)
1/2
17.
√24
a)
4√6
b)
2√6
c)
6√2
d)
2√12
18.
√125
a)
5√5
b)
25√5
c)
5√25
d)
5√2
19.
√5 × √10
a)
50
b)
2√5
c)
5√2
d)
5√10
20.
√3 × √15 =
a)
3√5
b)
5√3
c)
2√7
d)
√17
21.
Simplify:
√6 ⋅√6
a)
√36
b)
2√3
c)
12
d)
6
22.
a)
8√6
b)
8√12
c)
12√6
d)
12√12
23.
 Simplify:   2√40 - 3√10 
a)
5√10
b)
√10
c)
-√30
24.
a)
A
b)
B
c)
C
d)
D
25.
Add:  4√7 - 10 √7 + 7√7
a)
-6√7
b)
14√7
c)
-3√14
d)
√7
26.
Simplify:
√10 ⋅ √45
a)
3√50
b)
8√2
c)
√450
d)
15√2
27.
Simplify
a)
x²y√xy
b)
xy
c)
x²y²
d)
Can't Simplify
28.
√121
a)
11
b)
12
c)
21
d)
121
29.
√1
a)
4
b)
1
c)
6
d)
no solution 
30.

Between which two integers is  71\sqrt{71}  located?

a)

6 and 7

b)

7 and 8

c)

8 and 9

d)

9 and 10

31.

Between which two integers is  107\sqrt{107}  located?

a)

7 and 8

b)

8 and 9

c)

9 and 10

d)

10 and 11

32.

Simplify using the Laws of Exponents
x5 × x9x^5\ \times\ x^9  

a)

x45x^{45}  

b)

x14x^{14}  

c)

1x14\frac{1}{x^{14}}  

d)

1x45\frac{1}{x^{45}}  

33.
Add:  4√7 - 10 √7 + 7√7
a)
-6√7
b)
14√7
c)
-3√14
d)
√7
34.
In simplest radical form,
√75 is equivalent to
a)
25√3
b)
25√3
c)
5√3
d)
3√5
35.

5√80

a)

20√5

b)

-4√5

c)

5√20

d)

4√5

36.

Simplify the radical - 10√20

a)

5√20

b)

-20√5

c)

4√5

d)

40√5

37.
Which polynomial is written in standard form?
a)
-3x + 8x2 + 9x3 - 11
b)
9x3 + 8x2 - 3x - 11
c)
8x2 + 9x3 -11 - 3x
d)
-11 - 3x + 8x2 + 9x3
38.
Which polynomial is written in standard form?
a)
8x - 11x2
b)
4x3 + 7x - 9
c)
12 + 4x
d)
13x + 7x2 - 9x3 + 12
39.
Add the following polynomials:
 (5x + 2) + (4x + 5)
a)
9x -7
b)
-9x-11
c)
9x+7
d)
x+7
40.
Add the following polynomials:
(6n2 - 7n4+8) +  (6 + 8n + 4n4)
a)
-3n4+ 6n2+8n+14
b)
-n4-2n2+8n+7
c)
-n4 + 6n2+8n+7
d)
-3n4+ 6n2+8n+7
41.
Subtract the following polynomials:
(a3 - 2a2) - (-4a3 + 4a2)
a)
-5a6 - 5a4
b)
5a3  - 2a2
c)
-2a3  - 6a2
d)
5a3 - 6a2
42.
Subtract the following polynomials:
(7p + 4p3 - 8) - (-3p2 + 2 - 9p)
a)
-3p2 + 4p3 -15 + 9
b)
3p3 + 4p2 - p + 3
c)
4p3 +3p2 +16p -10
d)
4p3 +3p2 + 16p + 10
43.
Use the FOIL method to multiply:
(x+10)(x-10)
a)
x2  - 100
b)
x2 + 100
c)
x2 + 20x - 100
d)
x2 -20x + 100
44.
What is the Perimeter?
a)
3x - 3 inches
b)
6x - 6 inches
c)
3x - 6 inches
d)
6x - 3 inches
45.

Classify by number of terms:

5x2 – 6x + 3

a)

Monomial

b)

Binomial

c)

Trinomial

46.

Classify by number of terms:

3x3 – 6x

a)

Monomial

b)

Binomial

c)

Trinomial

47.

What is the CONSTANT of this polynomial?

2x3 - 8x2 + 3x - 7

a)

2

b)

-8

c)

3

d)

-7

48.
Classify by degree of polynomial:
2x – 9
a)
Constant
b)
Linear
c)
Quadratic
d)
Cubic
49.
Name and Classify the Polynomial:
x² − 4
a)
quadratic binomial
b)
quadratic monomial
c)
linear binomial
d)
linear monomial
50.
Simplify:
2x ( -2x -3)
a)
-4x - 3
b)
x2 - 3
c)
-4x2 - 6x
d)
-4x - 6
51.
Multiply
(4x+3)(2x-1)
a)
8x2-2x-3
b)
8x-3
c)
8x2+6x-3
d)
8x2+2x-3
52.
(5x+2)(x2-3x+6)
a)
5x3 - 17x2 +24x +12
b)
5x3 + 17x2 - 24x +12
c)
5x3 - 13x2 + 24x +12
d)
5x3 +13x2 - 24x - 12
53.

Classify the polynomial:

5x3y2

a)

Binomial

b)

Trinomial

c)

Uninomial

d)

Monomial

54.

Give the correct name for

3x

a)

Cubic Monomial

b)

Linear Binomial

c)

Linear Monomial

d)

Cubic Binomial

55.
Give the correct name for 
3x2+4x-7
a)
Quadratic trinomial
b)
linear binomial
c)
Quartic trinomail
d)
Linear Trinomail
56.
Give the correct name for 
2x3+5x
a)
Linear Binomial
b)
Cubic Binomial
c)
Quadratic Trinomial
d)
Linear Trinomial