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RETAKE Unit 1 TEST - Poly & Rads

Total questions: 15

Worksheet time: 33mins

Name
Class
Date
1.

Which of the following radical expressions is equivalent to

 63−47\sqrt{63}-4\sqrt{7}  ?

a)

 777\sqrt{7}  

b)

 −7-\sqrt{7}  

c)

 −77-7\sqrt{7}  

d)

 −456-4\sqrt{56}  

2.

Which of the following expressions is equivalent to

 (x − 4)2\left(x\ -\ 4\right)^2  ?

a)

 x2 − 16x^2\ -\ 16  

b)

 x2 + 16x^2\ +\ 16  

c)

 x2 − 8x + 16x^2\ -\ 8x\ +\ 16  

d)

 x2 + 8x + 16x^2\ +\ 8x\ +\ 16  

3.

Which of the following expressions is equivalent to

 52 ⋅ 125\sqrt{2}\ \cdot\ \sqrt{12}  in simplest form?

a)

 20620\sqrt{6}  

b)

 5245\sqrt{24}  

c)

 10610\sqrt{6}  

d)

 262\sqrt{6}  

4.

Which of the following expressions is equivalent to

 196a2b5\sqrt{196a^2b^5}  ?

a)

 14ab2b14ab^2\sqrt{b}  

b)

 14ab2b14ab^2\sqrt{b}  

c)

 ab14ab2ab\sqrt{14ab^2}  

d)

 14ab14ab214ab\sqrt{14ab^2}  

5.

What is the quotient of

 325\frac{\sqrt{3}}{2\sqrt{5}}   in simplest terms?

a)

 810\frac{\sqrt{8}}{10}  

b)

 1510\frac{\sqrt{15}}{10}  

c)

 155\frac{\sqrt{15}}{5}  

d)

 32\frac{\sqrt{3}}{2}  

6.

A polynomial with 3 terms is called a...

a)

Monomial

b)

Trinomial

c)

Binomial

d)

Nomial

7.

 (2x − 3)(x + 4) = 2x2 + \left(2x\ -\ 3\right)\left(x\ +\ 4\right)\ =\ 2x^2\ +\    (a)   - 12

What is the missing term in the trinomial expression?

8.

 (6x2 − 4x − 5) − (3x2 − 7x +2) =\left(6x^2\ -\ 4x\ -\ 5\right)\ -\ \left(3x^2\ -\ 7x\ +2\right)\ =  

Subtract the polynomial and rewrite in simplest form

a)

 3x2 − 11x − 33x^2\ -\ 11x\ -\ 3  

b)

 3x2 + 3x − 73x^2\ +\ 3x\ -\ 7  

c)

 3x2 + 11x − 73x^2\ +\ 11x\ -\ 7  

d)

 3x2 +11x − 33x^2\ +11x\ -\ 3  

9.

Look at picture - which of the following expressions represents the width of the door?

a)

(4x − 1) − x − x\left(4x\ -\ 1\right)\ -\ x\ -\ x

b)

(3x + 6) − x − x\left(3x\ +\ 6\right)\ -\ x\ -\ x

c)

(4x − 1) − (3x + 6)\left(4x\ -\ 1\right)\ -\ \left(3x\ +\ 6\right)

d)

(3x + 6) + (4x − 1) + (4x − 1) + x + x\left(3x\ +\ 6\right)\ +\ \left(4x\ -\ 1\right)\ +\ \left(4x\ -\ 1\right)\ +\ x\ +\ x

10.
√45
a)
3√5
b)
5√3
c)
9√5
d)
5√9
11.
a)
11√5
b)
11√10
c)
5√5
d)
12√10
12.

Simplify the expression.
 36+263\sqrt{6}+2\sqrt{6}  

a)

 565\sqrt{6}  

b)

 969\sqrt{6}  

c)

 11611\sqrt{6}  

d)

 767\sqrt{6}  

13.

Simplify the expression.
 −32−25−25-3\sqrt{2}-2\sqrt{5}-2\sqrt{5}  

a)

 −32−45-3\sqrt{2}-4\sqrt{5}  

b)

 −32-3\sqrt{2}  

c)

 −45-4\sqrt{5}  

d)

 −73-7\sqrt{3}  

14.

Simplify the expression.
 32−283\sqrt{2}-2\sqrt{8}  

a)

 −2-\sqrt{2}  

b)

 222\sqrt{2}  

c)

 525\sqrt{2}  

d)

 929\sqrt{2}  

15.
a)

7x + 5

b)

24x + 4

c)

9x + 5

d)

9x2 + 5