Scroll:Exponents >> Exponents: solve for the variable >> saq (4062)


Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.



 

1)  

 Solve for R.

6R = 36

R =


Answer:_______________




2)  

 Solve for B.

7B = 343

B =


Answer:_______________




3)  

 Solve for J.

82 = J

J =


Answer:_______________




4)  

 Solve for W.

5W = 25

W =


Answer:_______________




5)  

 Solve for K.

7K = 343

K =


Answer:_______________




6)  

 Solve for I.

22 = I

I =


Answer:_______________




7)  

 Solve for N.

8N = 64

N =


Answer:_______________




8)  

 Solve for Z.

5Z = 125

Z =


Answer:_______________




9)  

 Solve for J.

62 = J

J =


Answer:_______________




10)  

 Solve for W.

9W = 81

W =


Answer:_______________




 

1)  

 Solve for X.

6X = 36

X = Answer: 2


SOLUTION 1 :

Remember:

The exponent tells you how many times to use the base as a factor.

Solve:

The base is 6. How many times do you need to use 6 as a factor to get 36

61 = 6
62 = 6 × 6
= 36

You need to use 6 as a factor 2 times. The exponent is 2.

X = 2



2)  

 Solve for Z.

7Z = 343

Z = Answer: 3


SOLUTION 1 :

Remember:

The exponent tells you how many times to use the base as a factor.

Solve:

The base is 7. How many times do you need to use 7 as a factor to get 49

71 = 7
72 = 7 × 7

=  49

73  =  7 x 7 x 7

= 343

You need to use 7 as a factor 3 times. The exponent is 3.

Z = 3



3)  

 Solve for O.

82 = O

O = Answer: 64


SOLUTION 1 :

Remember:

The exponent tells you how many times to use the base as a factor.

Solve:

The base is 8 and the exponent is 2. Use 8 as a factor 2 times.


82 = 8 × 8

= 64

O =  64

 



4)  

 Solve for L.

5L = 25

L = Answer: 2


SOLUTION 1 :

Remember:

The exponent tells you how many times to use the base as a factor.

Solve:

The base is 5. How many times do you need to use 5 as a factor to get 25

51 = 5
52 = 5 × 5
= 25

You need to use 5 as a factor 2 times. The exponent is 2.

L = 2



5)  

 Solve for L.

7L = 343

L = Answer: 3


SOLUTION 1 :

Remember:

The exponent tells you how many times to use the base as a factor.

Solve:

The base is 7. How many times do you need to use 7 as a factor to get 49

71 = 7
72 = 7 × 7

=  49

73  =  7 x 7 x 7

= 343

You need to use 7 as a factor 3 times. The exponent is 3.

L = 3



6)  

 Solve for S.

22 = S

S = Answer: 4


SOLUTION 1 :

Remember:

The exponent tells you how many times to use the base as a factor.

Solve:

The base is 2 and the exponent is 2. Use 2 as a factor 2 times.


22 = 2 × 2

= 4

S =  4

 



7)  

 Solve for C.

8C = 64

C = Answer: 2


SOLUTION 1 :

Remember:

The exponent tells you how many times to use the base as a factor.

Solve:

The base is 4. How many times do you need to use 4 as a factor to get 64

81 = 8
82 = 8 × 8
= 64

You need to use 4 as a factor 2 times. The exponent is 2.

C = 2



8)  

 Solve for Z.

5Z = 125

Z = Answer: 3


SOLUTION 1 :

Remember:

The exponent tells you how many times to use the base as a factor.

Solve:

The base is 5. How many times do you need to use 5 as a factor to get 25

51 = 5
52 = 5 × 5

=  25

53  =  5 x 5 x 5

= 125

You need to use 5 as a factor 3 times. The exponent is 3.

Z = 3



9)  

 Solve for U.

62 = U

U = Answer: 36


SOLUTION 1 :

Remember:

The exponent tells you how many times to use the base as a factor.

Solve:

The base is 3 and the exponent is 2. Use 3 as a factor 2 times.


62 = 6 × 6

= 36

U =  36

 



10)  

 Solve for G.

9G = 81

G = Answer: 2


SOLUTION 1 :

Remember:

The exponent tells you how many times to use the base as a factor.

Solve:

The base is 9. How many times do you need to use 9 as a factor to get 81

91 = 9
92 = 9 × 9
= 81

You need to use 9 as a factor 2 times. The exponent is 2.

G = 2