Scroll:Properties >> Solve equations using properties >> saq (3884)

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)  

 What value of P makes this multiplication number sentence true

Hint: Use properties of multiplication.

(P + 38) · 78 = 56 · 78 + 38 · 78

P =


Answer:_______________




2)  

 What value of  J  makes this addition number sentence true

Hint: Use properties of addition.

 59 = 0 + J

 


Answer:_______________




3)  

 What value of W makes this multiplication number sentence true

Hint: Use properties of multiplication.

        84 · W = 0

         W =


Answer:_______________




4)  

 What value of N makes this addition number sentence true

   Hint: Use properties of addition.

          74 + 33 = 33 + N

        N =


Answer:_______________




5)  

 What value of J makes this addition number sentence true

 Hint: Use properties of addition.

         23 + (52 + 70) = (J + 52) + 70

      J =


Answer:_______________




6)  

 What value of I makes this multiplication number sentence true

Hint: Use properties of multiplication.

(I + 46) · 72 = 58 · 72 + 46 · 72

I =


Answer:_______________




7)  

 What value of  B  makes this addition number sentence true

Hint: Use properties of addition.

 71 = 0 + B

 


Answer:_______________




8)  

 What value of U makes this multiplication number sentence true

Hint: Use properties of multiplication.

        81 · U = 0

         U =


Answer:_______________




9)  

 What value of I makes this addition number sentence true

   Hint: Use properties of addition.

          76 + 33 = 33 + I

        I =


Answer:_______________




10)  

 What value of X makes this addition number sentence true

 Hint: Use properties of addition.

         35 + (44 + 88) = (X + 44) + 88

      X =


Answer:_______________




 

1)  

 What value of L makes this multiplication number sentence true

Hint: Use properties of multiplication.

(L + 38) · 78 = 56 · 78 + 38 · 78

L = Answer: 56


SOLUTION 1 :

Remember

Distributive property:
You can multiply a sum by multiplying each addend separately.

To find L, use properties of multiplication to make both sides of the equation look the same.

The distributive property says you can multiply a sum by multiplying each addend separately.

(L + 38) · 78  = 56 · 78 + 38 · 78

(L + 38) · 78  = (56 + 38) · 78           Apply the distributive property

Now match up the two sides of the equation.

(L + 38) · 78  = (56 + 38) · 78

So, L = 56.



2)  

 What value of  N  makes this addition number sentence true

Hint: Use properties of addition.

 59 = 0 + N

  Answer: 59


SOLUTION 1 :

Remember:

Identity property:
Adding zero does not change a number.

Solve: 

To find N, use properties of addition to make both sides of the equation look the same.

The identity property says adding zero does not change a number.

59  = 0 + N

59  = N Apply the identity property

Now match up the two sides of the equation.

59  = N

So, N = 59.



3)  

 What value of V makes this multiplication number sentence true

Hint: Use properties of multiplication.

        84 · V = 0

         V = Answer: 0


SOLUTION 1 :

Remember:

Zero property:
Multiplying by 0 always gives 0.

To find V, use properties of multiplication to make both sides of the equation look the same.

The zero property says multiplying by 0 always gives 0.

84 · V  = 0

84 · V  = 84 · 0   Apply the zero property

Now match up the two sides of the equation.

84 · V = 84 · 0

So, V = 0.



4)  

 What value of P makes this addition number sentence true

   Hint: Use properties of addition.

          74 + 33 = 33 + P

        P = Answer: 74


SOLUTION 1 :

Remember:

Commutative property:
You can add numbers in any order and get the same sum.

Solve:

To find P, use properties of addition to make both sides of the equation look the same.

The commutative property says you can add numbers in any order and get the same sum.

74 + 33  = 33 + P

33 + 74  = 33 + P    Apply the commutative property

Now match up the two sides of the equation.

33 + 74 = 33 + P

So, P = 74.



5)  

 What value of L makes this addition number sentence true

 Hint: Use properties of addition.

         23 + (52 + 70) = (L + 52) + 70

      L = Answer: 23


SOLUTION 1 :

Remember:

Associative property:
You can group the addends with brackets and get the same sum.

To find L, use properties of addition to make both sides of the equation look the same.

The associative property says you can group the addends with brackets and get the same sum.

23 + (52 + 70) = (L + 52) + 70

(23 + 52) + 70  = (L + 52) + 70     Apply the associative property

Now match up the two sides of the equation.

(23 + 52) + 70  = (L + 52) + 70

So, L = 23.



6)  

 What value of U makes this multiplication number sentence true

Hint: Use properties of multiplication.

(U + 46) · 72 = 58 · 72 + 46 · 72

U = Answer: 58


SOLUTION 1 :

Remember

Distributive property:
You can multiply a sum by multiplying each addend separately.

To find U, use properties of multiplication to make both sides of the equation look the same.

The distributive property says you can multiply a sum by multiplying each addend separately.

(U + 46) · 72  = 58 · 72 + 46 · 72

(U + 46) · 72  = (58 + 46) · 72           Apply the distributive property

Now match up the two sides of the equation.

(U + 46) · 72  = (58 + 46) · 72

So, U = 58.



7)  

 What value of  X  makes this addition number sentence true

Hint: Use properties of addition.

 71 = 0 + X

  Answer: 71


SOLUTION 1 :

Remember:

Identity property:
Adding zero does not change a number.

Solve: 

To find X, use properties of addition to make both sides of the equation look the same.

The identity property says adding zero does not change a number.

71  = 0 + X

71  = X Apply the identity property

Now match up the two sides of the equation.

71  = X

So, X = 71.



8)  

 What value of S makes this multiplication number sentence true

Hint: Use properties of multiplication.

        81 · S = 0

         S = Answer: 0


SOLUTION 1 :

Remember:

Zero property:
Multiplying by 0 always gives 0.

To find S, use properties of multiplication to make both sides of the equation look the same.

The zero property says multiplying by 0 always gives 0.

81 · S  = 0

81 · S  = 81 · 0   Apply the zero property

Now match up the two sides of the equation.

81 · S = 81 · 0

So, S = 0.



9)  

 What value of N makes this addition number sentence true

   Hint: Use properties of addition.

          76 + 33 = 33 + N

        N = Answer: 76


SOLUTION 1 :

Remember:

Commutative property:
You can add numbers in any order and get the same sum.

Solve:

To find N, use properties of addition to make both sides of the equation look the same.

The commutative property says you can add numbers in any order and get the same sum.

76 + 33  = 33 + N

33 + 76  = 33 + N    Apply the commutative property

Now match up the two sides of the equation.

33 + 76 = 33 + N

So, N = 76.



10)  

 What value of T makes this addition number sentence true

 Hint: Use properties of addition.

         35 + (44 + 88) = (T + 44) + 88

      T = Answer: 35


SOLUTION 1 :

Remember:

Associative property:
You can group the addends with brackets and get the same sum.

To find T, use properties of addition to make both sides of the equation look the same.

The associative property says you can group the addends with brackets and get the same sum.

35 + (44 + 88) = (T + 44) + 88

(35 + 44) + 88  = (T + 44) + 88     Apply the associative property

Now match up the two sides of the equation.

(35 + 44) + 88  = (T + 44) + 88

So, T = 35.