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Worksheets

RHHS Unit 1 Review

Total questions: 45

Worksheet time: 2hrs 46mins

Name
Class
Date
1.

50\sqrt{50}  

a)

525\sqrt{2}  

b)

5\sqrt{5}   

c)

252\sqrt{5}  

d)

25225\sqrt{2}  

2.

243\sqrt{243}  

a)

333\sqrt{3}  

b)

939\sqrt{3}  

c)

81381\sqrt{3}  

d)

3813\sqrt{81}  

3.

300\sqrt{300}  

a)

3103\sqrt{10}  

b)

21502\sqrt{150}  

c)

1003100\sqrt{3}  

d)

10310\sqrt{3}  

4.
Simplify the radical...
√20a²b⁴
a)
2ab²√5
b)
4ab²√5
c)
5ab²√2
d)
2a²b²√5
5.
√36x³y⁴
a)
6y²x√x
b)
3y²√2x
c)
3y√x
d)
6x√3y
6.
-3√20x⁴y²
a)
-6x²y√5
b)
6xy√5
c)
-3xy√2
d)
3x²y√5
7.
Simplify 
3√6 - 4√6
a)
-√6
b)
√6
c)
-1
d)
Already simplified 
8.
Simplify 
-10√7 + 12√7
a)
-2
b)
-2√7
c)
2√7
d)
Already simplified 
9.
Simplify 
3√8 + 3√2
a)
9√2
b)
6√10
c)
5√2
d)
Already simplified 
10.
Simplify 
-3√20 - √5
a)
-4√5
b)
-4√15
c)
-7√5
d)
Already simplified 
11.
Simplify 
3√18 - 2√2
a)
7√2
b)
√16
c)
√2
d)
Already simplified 
12.

Simplify

a)
b)
c)
d)
e)
13.

Simplify

a)
b)
c)
d)
e)
14.

Simplify.

a)
b)
c)
d)
e)
15.
Simplify:
6√2 ⋅5√14
a)
32√7
b)
60√7
c)
2√7
d)
30√7
16.

Simplify 227332\sqrt{27}\cdot3\sqrt{3}

a)

5815\sqrt{81}

b)

5454

c)

939\sqrt{3}

d)

333\sqrt{3}

17.
Classify this polynomial by its degree and number of terms:  x2 + 6
a)
Linear polynomial
b)
Quadratic trinomial
c)
Quadratic binomial
d)
Cubic binomial
18.
Classify this polynomial by its degree and number of terms:  x2 + 2x + 6
a)
Linear polynomial
b)
Quadratic trinomial
c)
Quadratic binomial
d)
Cubic trinomial
19.

Classify this polynomial by its degree and number of terms: 4x3

a)

Cubic monomial

b)

Linear binomial

c)

Cubic binomial

d)

6th degree (sextic) monomial

20.
Classify by number of terms:
3x2 – 8x + 1
a)
Monomial
b)
Binomial
c)
Trinomial
d)
4-Term Polynomial
21.
The following polynomial is written in standard form:
7x3 - 11x2 + 8x - 5
a)
True
b)
False
22.

The following polynomial is written in standard form:

x2 - 10x+ 8x - 5

a)

True

b)

False

23.
Add to Simplify:
 (4x - 2x3) + (5x3 - 4x + 5)
a)
3x3 + 5
b)
3x3 + 8x + 5
c)
3x2 + 5
d)
7x3 + 8x + 5
24.

Find the perimeter.

a)

39x - 7

b)

38x + 7

c)

39x + 7

d)

38x -9

25.

Find the perimeter.

a)

5x + 2

b)

10x + 4

c)

10x - 4

d)

5x - 2

26.
a)

23x5_11x

b)

-5x5-x

c)

23x5+11x

d)

5x5+x

27.
a)

-10x2-9

b)

10x2-9

c)

-5x2-2x-6

d)

-5x2-4x-9

28.

Find the perimeter.

a)

1.5x + 4.5

b)

3x + 8

c)

3x + 9

d)

1.5x + 4

29.

Find the product:

(3x + 2)(2x + 4)\left(3x\ +\ 2\right)\left(2x\ +\ 4\right)  

a)
6x2 + 16x + 8
b)
5x2 +11x + 6
c)
5x2 + 16x + 6
d)
6x2 + 11x + 8
30.

Find the product.

  (3x  1)(x + 5)\left(3x\ -\ 1\right)\left(x\ +\ 5\right)  

a)
3x2 + 4x + 5
b)
3x2 + 4x - 5
c)
3x2 + 14x + 5
d)
3x2 + 14x - 5
31.

Find the product: (n  5)(n  1)\left(n\ -\ 5\right)\left(n\ -\ 1\right)  

a)
n2 - 5n + 5
b)
n2 - 6n + 5
c)
n+ 5
d)
n2 + 6n + 5
32.

Find the product.

(p  8)2\left(p\ -\ 8\right)^2  

a)
p 2 − 16p − 64 
b)
p 2 + 16p + 64 
c)
p 2 − 16p − 8
d)
p 2 − 16p + 64 
33.

What is the area of this rectangle?

a)

48

b)

8x2+14x+68x^2+14x+6

c)

8x2+x+58x^2+x+5

d)

2x2+6x+82x^2+6x+8

34.

Find the product:

(7r  6)(7r + 6)\left(7r\ -\ 6\right)\left(7r\ +\ 6\right)  

a)

49r2 + 36

b)

49r2 - 36

c)

49r2 + 84r + 36

d)

49r2 + 42r + 36

35.

Find the product:

3a(5a2+8a+2)3a(5a^2+8a+2)  

a)

15a3+24a2+6a15a^3+24a^2+6a  

b)

15a2+24a+615a^2+24a+6  

36.

Find the product:

2x(3x25x)2x\left(3x^2-5x\right)  

a)

6x310x26x^3-10x^2  

b)

5x37x25x^3-7x^2  

c)

6x210x6x^2-10x  

37.

5(3x+7)5\left(3x+7\right)  

a)

15x+3515x+35  

b)

8x+128x+12  

c)

15x+2515x+25  

d)

14x+3514x+35  

38.

6c (3c +4)6c\ \left(3c\ +4\right)  

a)

24c2+18c24c^2+18c  

b)

18c + 2418c\ +\ 24  

c)

18c2 + 24c18c^2\ +\ 24c  

d)

9c + 249c\ +\ 24  

39.

Convert 62 miles/hour to feet/second

a)

5,456 feet/second

b)

0.003 feet/second

c)

90.9 feet/second

d)

909 feet/second

40.

32,190 inches/year to yards/day

a)

88.19 yards/day

b)

7.3 yards/day

c)

2.4 yards/day

d)

4.9 yards/day

41.

Convert 2,500 gallons/year to cups/day

a)

109.6 cups/day

b)

54.8 cups/day

c)

27.4 cups/day

d)

0.43 cups/day

42.

Convert 9,500 feet/year to inches/day

a)

2.2 inches/day

b)

312.3 inches/day

c)

3,123.4 inches/day

d)

31.23 inches/day

43.

How many minutes are in four hours?

a)

175min

b)

280min

c)

240min

d)

325min

44.

Convert 75mph to feet per second.

a)

225ft/s

b)

150ft/s

c)

110ft/s

d)

182ft/s

45.

You have a faucet in your bathroom that is leaking. You estimate that it is dripping every 3 seconds. How much does it drip in a week?

a)

105,300drops/wk

b)

302,600drops/wk

c)

201,600drops/wk

d)

204,600drops/wk