Scroll:Properties >> Simplify variable expressions using properties >> saq (3883)

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)  

Simplify the expression:

       4 (6 +D)

     


Answer:_______________




2)  

Simplify the expression:

       3 + (S + 2) 

     


Answer:_______________




3)  

Simplify the expression:

       5 (5 +U)

     


Answer:_______________




4)  

Simplify the expression:

       6 + (L + 3) 

     


Answer:_______________




5)  

Simplify the expression:

       5 (6 +Q)

     


Answer:_______________




6)  

Simplify the expression:

       9 + (H + 4) 

     


Answer:_______________




7)  

Simplify the expression:

       3 (2 +K)

     


Answer:_______________




8)  

Simplify the expression:

       9 + (V + 3) 

     


Answer:_______________




9)  

Simplify the expression:

       5 (6 +X)

     


Answer:_______________




10)  

Simplify the expression:

       5 + (M + 5) 

     


Answer:_______________




 

1)  

Simplify the expression:

       4 (6 +C)

      Answer: 24+4C


SOLUTION 1 :

Solve:

                  4 (6 +C) = 4(6) + 4(C) Apply the distributive property

              =  24+4C  Simplify
 



2)  

Simplify the expression:

       3 + (A + 2) 

      Answer: A+5


SOLUTION 1 :

Solve:

            3 + (A + 2) = (A + 2) + 3  Apply the commutative property of addition

         = A + (2 + 3) Apply the associative property of addition

        =  A+5 Simplify
 



3)  

Simplify the expression:

       5 (5 +Y)

      Answer: 25+5Y


SOLUTION 1 :

Solve:

                  5 (5 +Y) = 5(5) + 5(Y) Apply the distributive property

              =  25+5Y  Simplify
 



4)  

Simplify the expression:

       6 + (J + 3) 

      Answer: J+9


SOLUTION 1 :

Solve:

            6 + (J + 3) = (J + 3) + 6  Apply the commutative property of addition

         = J + (3 + 6) Apply the associative property of addition

        =  J+9 Simplify
 



5)  

Simplify the expression:

       5 (6 +P)

      Answer: 30+5P


SOLUTION 1 :

Solve:

                  5 (6 +P) = 5(6) + 5(P) Apply the distributive property

              =  30+5P  Simplify
 



6)  

Simplify the expression:

       9 + (M + 4) 

      Answer: M+13


SOLUTION 1 :

Solve:

            9 + (M + 4) = (M + 4) + 9  Apply the commutative property of addition

         = M + (4 + 9) Apply the associative property of addition

        =  M+13 Simplify
 



7)  

Simplify the expression:

       3 (2 +H)

      Answer: 6+3H


SOLUTION 1 :

Solve:

                  3 (2 +H) = 3(2) + 3(H) Apply the distributive property

              =  6+3H  Simplify
 



8)  

Simplify the expression:

       9 + (Y + 3) 

      Answer: Y+12


SOLUTION 1 :

Solve:

            9 + (Y + 3) = (Y + 3) + 9  Apply the commutative property of addition

         = Y + (3 + 9) Apply the associative property of addition

        =  Y+12 Simplify
 



9)  

Simplify the expression:

       5 (6 +W)

      Answer: 30+5W


SOLUTION 1 :

Solve:

                  5 (6 +W) = 5(6) + 5(W) Apply the distributive property

              =  30+5W  Simplify
 



10)  

Simplify the expression:

       5 + (E + 5) 

      Answer: E+10


SOLUTION 1 :

Solve:

            5 + (E + 5) = (E + 5) + 5  Apply the commutative property of addition

         = E + (5 + 5) Apply the associative property of addition

        =  E+10 Simplify