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Unit 1 Review Guide

Total questions: 25

Worksheet time: 1hrs 15mins

Name
Class
Date
1.

(4x3-5x2+3x)+(-2x3-x2+6x)

a)

2x3-6x2-9x

b)

2x3+6x2+9x

c)

-2x3-6x2+9x

d)

2x3-6x2+9x

e)

None of these

2.

What is the perimeter of this parallelogram?

a)

9x

b)

5x + 4

c)

10x + 8

d)

6x2-9x -45

3.
(x3-x2+4) - (3x3-2x2+3)
a)
-2x3-3x2+7
b)
-2x3+x2+1
c)
2x3-3x3-1
d)
4x3-3x2+7
4.

Fill in the blank. The __________ is the highest exponent of a variable when a polynomial is in standard form.

a)

coefficient

b)

degree

c)

monomial

d)

term

5.

What is the leading coefficient of this polynomial?

a)

5

b)

2

c)

-1

6.

What is the constant of this polynomial? 2x3 - 8x2 + 3x - 7

a)

2

b)

-8

c)

3

d)

-7

7.
Multiply
(4x+3)(2x-1)
a)
8x2-2x-3
b)
8x-3
c)
8x2+6x-3
d)
8x2+2x-3
8.

Simplify the product.

(2x – 6)2

a)
4x2 – 24x + 36
b)
4x2 – 8x + 36
c)
4x2 + 36
d)
4x2 – 12x + 36
9.
Find the area of a rectangle with length (x-5) and width (3x+1).
a)
3x2+16x-5
b)
3x2-14x+5
c)
3x2-14x-5
10.
(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
11.
(x-3)(x2+2x+7)
a)
x3-x2+x-21
b)
x3+5x+13x-21
c)
x3-3x2+7x-21
d)
x2+2x-3
12.
(x-3)(x2+2x+7)
a)
x3-x2+x-21
b)
x3+5x+13x-21
c)
x3-3x2+7x-21
d)
x2+2x-3
13.
√48
a)
4√2
b)
6√3
c)
4√3
d)
4√2
14.
a)

A

b)

B

c)

C

d)

D

15.
Simplify  -2√10 ⋅ 3√20
a)
-60√2
b)
10√2
c)
√30
d)
-6√200
16.

A rectangle has length  626\sqrt{2}  cm, width  222\sqrt{2}  cm.  What is the perimeter of the rectangle?  Simplify!

a)

 82cm8\sqrt{2}cm  

b)

 122+42 cm12\sqrt{2}+4\sqrt{2\ }cm  

c)

  162cm16\sqrt{2}cm  

d)

32 cm

17.

 52+108+318-5\sqrt{2}+10\sqrt{8}+3\sqrt{18}  

a)

 24224\sqrt{2}  

b)

 44244\sqrt{2}  

c)

 62262\sqrt{2}  

18.
Simplify 
-2√2 - 3√8 - √5
a)
 -8√2-√5
b)
-8√2-√9
c)
-14√3-√7
d)
-2√4-√3
19.
Find the area of the rectangle shown.
a)
18√20
b)
12√10 + 6√2
c)
9√12
d)
36√5
20.

The sum of two irrational numbers will ________________be irrational.

a)

Always

b)

Sometimes

c)

Never

21.

The product of two Irrational numbers is _________________ Rational.

a)

Always

b)

Sometimes

c)

Never

22.

The product of two Rational numbers is ________________ Rational.

a)

Always

b)

Sometimes

c)

Never

23.

Which statement is Always true?

a)

Any irrational number added to any rational number is equal to a rational number.

b)

Any irrational number added to any irrational number is equal to a rational number.

c)

Any irrational number multiplied by any non-zero rational number is equal to a rational number.

d)

Any irrational number multiplied by any non-zero rational number is equal to an irrational number.

24.
a)
7√3
b)
Can't Simplify
c)
6√15
d)
6√3
25.

Which statement is sometimes true?

a)

The sum of a rational number and a rational number is rational.

b)

The sum of a rational number and an irrational number is irrational.

c)

The product of an irrational number and an irrational number is irrational.

d)

The product of a nonzero rational number and an irrational number is irrational.