# Distributive property Whole Number coefficients Online Quiz

Following quiz provides Multiple Choice Questions (MCQs) related to Distributive property Whole Number coefficients. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using Show Answer button. You can use Next Quiz button to check new set of questions in the quiz. Q 1 - Simplify the following using distributive property of multiplication:

8(7q + 4)

### Explanation

Step 1:

The distributive property of multiplication tells us that when multiplying a number by the sum of 2 numbers, the final value is equal to the sum of each addend multiplied by the third number.

For any three numbers a, b and c,

a (b + c) = ab + ac

Step 2:

Using distributive property of multiplication:

8(7q + 4) = 8(7q) + 8(4) = 56q + 32

Q 2 - Simplify the following using distributive property of multiplication:

10(7m + 3n)

### Explanation

Step 1:

The distributive property of multiplication tells us that when multiplying a number by the sum of 2 numbers, the final value is equal to the sum of each addend multiplied by the third number.

For any three numbers a, b and c,

a (b + c) = ab + ac

Step 2:

Using distributive property of multiplication:

10(7m + 3n) = 10(7m) + 10(3n) = 70m +30n

Q 3 - Simplify the following using distributive property of multiplication:

4(8y3 + 15)

### Explanation

Step 1:

The distributive property of multiplication tells us that when multiplying a number by the sum of 2 numbers, the final value is equal to the sum of each addend multiplied by the third number.

For any three numbers a, b and c,

a (b + c) = ab + ac

Step 2:

Using distributive property of multiplication:

4(8y3 + 15) = 4(8y3) + 4(15) = 32y3 + 60

Q 4 - Simplify the following using distributive property of multiplication:

3(9x − 5)

### Explanation

Step 1:

The distributive property of multiplication tells us that when multiplying a number by the sum of 2 numbers, the final value is equal to the sum of each addend multiplied by the third number.

For any three numbers a, b and c,

a (b + c) = ab + ac

Step 2:

Using distributive property of multiplication:

3(9x − 5) = 3(9x) – 3(5) = 27x − 15

Q 5 - Simplify the following using distributive property of multiplication:

14(8x − 3)

### Explanation

Step 1:

The distributive property of multiplication tells us that when multiplying a number by the sum of 2 numbers, the final value is equal to the sum of each addend multiplied by the third number.

For any three numbers a, b and c,

a (b + c) = ab + ac

Step 2:

Using distributive property of multiplication:

14(8x − 3) = 14(8x) – 14(3) = 112x − 42

Q 6 - Simplify the following using distributive property of multiplication:

6(12x – 7)

### Explanation

Step 1:

The distributive property of multiplication tells us that when multiplying a number by the sum of 2 numbers, the final value is equal to the sum of each addend multiplied by the third number.

For any three numbers a, b and c,

a (b + c) = ab + ac

Step 2:

Using distributive property of multiplication:

6(12x – 7) = 6(12x) – 6(7) = 72x − 42

Q 7 - Simplify the following using distributive property of multiplication:

4(3x + 5)

### Explanation

Step 1:

The distributive property of multiplication tells us that when multiplying a number by the sum of 2 numbers, the final value is equal to the sum of each addend multiplied by the third number.

For any three numbers a, b and c,

a (b + c) = ab + ac

Step 2:

Using distributive property of multiplication:

4(3x + 5) = 4(3x) + 4(5) = 12x + 20

Q 8 - Simplify the following using distributive property of multiplication:

6(x2 + 4x)

### Explanation

Step 1:

The distributive property of multiplication tells us that when multiplying a number by the sum of 2 numbers, the final value is equal to the sum of each addend multiplied by the third number.

For any three numbers a, b and c,

a (b + c) = ab + ac

Step 2:

Using distributive property of multiplication:

6(x2 + 4x) = 6(x2) + 6(4x) = 6x2+ 24x

Q 9 - Simplify the following using distributive property of multiplication:

9(3y – 4)

### Explanation

Step 1:

The distributive property of multiplication tells us that when multiplying a number by the sum of 2 numbers, the final value is equal to the sum of each addend multiplied by the third number.

For any three numbers a, b and c,

a (b + c) = ab + ac

Step 2:

Using distributive property of multiplication:

9(3y – 4) = 9(3y)– 9(4) = 27y − 36

Q 10 - Simplify the following using distributive property of multiplication:

5(6x2 − 11)

### Explanation

Step 1:

The distributive property of multiplication tells us that when multiplying a number by the sum of 2 numbers, the final value is equal to the sum of each addend multiplied by the third number.

For any three numbers a, b and c,

a (b + c) = ab + ac

Step 2:

Using distributive property of multiplication:

5(6x2 − 11) = 5(6x2)− 5(11) = 30x2 − 55

distributive_property_whole_number_coefficients.htm