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Worksheets

Beginning Algebra

Total questions: 40

Worksheet time: 3hrs 20mins

Name
Class
Date
1.

 Write each power as it's product


 12312^3  

a)

 12 ⋅ 1212\ \cdot\ 12  

b)

 12 ⋅ 312\ \cdot\ 3  

c)

 12 ⋅ 12 ⋅ 1212\ \cdot\ 12\ \cdot\ 12  

2.

 585^8  

Write each power as its factors

a)

 5 ⋅ 5 ⋅ 5 ⋅ 5 ⋅ 5 ⋅ 5 ⋅ 5 ⋅ 55\ \cdot\ 5\ \cdot\ 5\ \cdot\ 5\ \cdot\ 5\ \cdot\ 5\ \cdot\ 5\ \cdot\ 5  

b)

 5 ⋅ 85\ \cdot\ 8  

c)

 8 ⋅ 8 ⋅ 8 ⋅ 8 ⋅ 8 ⋅ 88\ \cdot\ 8\ \cdot\ 8\ \cdot\ 8\ \cdot\ 8\ \cdot\ 8  

3.

 2 ⋅ 2 ⋅ 2 ⋅ 22\ \cdot\ 2\ \cdot\ 2\ \cdot\ 2  

Write each in exponential form



(a)  

4.

 9 ⋅9 ⋅ 9 ⋅ 9 ⋅ 9 ⋅ 9 ⋅ 99\ \cdot9\ \cdot\ 9\ \cdot\ 9\ \cdot\ 9\ \cdot\ 9\ \cdot\ 9  

Write in exponential form



(a)  

5.

 1 ⋅ 1 ⋅ 1 ⋅ 1 ⋅ 1 ⋅ 11\ \cdot\ 1\ \cdot\ 1\ \cdot\ 1\ \cdot\ 1\ \cdot\ 1  

Write in Exponential form



(a)  

6.

 535^3  

Solve

a)

125

b)

25

c)

15

7.

 17317^3  

Solve

a)

51

b)

4913

c)

272

8.

 2122^{12}  

Solve

a)

12

b)

2486

c)

4096

9.

 10210^2  

Solve

a)

100

b)

20

c)

1000

10.

 20520^5  

Solve

a)

320000

b)

32000

c)

3200000

11.

Solve using a = 3, b = 4, c=12, d = 1


a + 2d

a)

5

b)

6

c)

4

12.

Solve using a = 3, b = 4, c=12, d = 1


b + 2c

a)

18

b)

28

c)

72

13.

Solve using a = 3, b = 4, c=12, d = 1


ab

a)

7

b)

0

c)

12

14.

Solve using a = 3, b = 4, c=12, d = 1


6a + c

a)

30

b)

75

c)

21

15.

 c ÷ dc\ \div\ d  

Solve using a = 3, b = 4, c=12, d = 1

a)

12

b)

13

c)

11

16.

Solve using a = 3, b = 4, c=12, d = 1


abc

a)

17

b)

19

c)

144

17.

Solve using a = 3, b = 4, c=12, d = 1

2(a + b)

a)

10

b)

14

c)

16

18.

Solve using a = 3, b = 4, c=12, d = 1


144 - abc

a)

0

b)

288

c)

125

19.

Solve
4x = 36

a)

9

b)

144

c)

40

20.

Solve


2y = 10

a)

8

b)

12

c)

5

21.

Solve


81 = 80 +a

a)

1

b)

161

22.

Solve


77 - 12 = s

a)

65

b)

89

23.

Solve


62 - d = 12

a)

74

b)

50

c)

-50

24.

Solve


20(3 + 6)

a)

180

b)

66

25.

Solve


(20 - 5)8

a)

-20

b)

120

26.

Name Property: Commutative, Associative, Distributive, Identity

4(12 + 4(3) = 4(12+3)

a)

Commutative

b)

Associative

c)

Distributive

d)

Identity

27.

Name Property: Commutative, Associative, Distributive, Identity


z + 0 = z

a)

Commutative

b)

Associative

c)

Distributive

d)

Identity

28.

Name Property: Commutative, Associative, Distributive, Identity


(1 + 5) + 2 = 1 + (5 + 2)

a)

Commutative

b)

Associative

c)

Distributive

d)

Identity

29.

Name Property: Commutative, Associative, Distributive, Identity


ab = ba

a)

Commutative

b)

Associative

c)

Distributive

d)

Identiy

30.

Solve

50(8+2)

a)

402

b)

500

31.

Solve the following using PEMDAS


3 x 9 + 7

(a)  

32.

Solve the following using PEMDAS


12 + 36 ÷ 4

(a)  

33.

Solve the following using PEMDAS


9 ÷ 3 + 4 x 6

(a)  

34.

Solve the following using PEMDAS


(67 - 18) ÷ 7 x 3

(a)  

35.

Solve the following using PEMDAS


5² - 8

(a)  

36.

Solve the following using PEMDAS


4² x (8 - 3)

(a)  

37.
What does the ( E )in PEMDAS mean?
a)
experience
b)
exponents
c)
examples
d)
evidence
38.
True or false:
Addition ALWAYS comes before subtraction.
a)
True
b)
False
39.

What is the first step in PEMDAS?

a)

Parenthesis

b)

Expoments

c)

Addition

d)

MaTh

40.

What is the third step in PEMDAS?

a)

Expoments

b)

Division/Multipulcation

c)

Division

d)

Multipulcation