- Properties of Real Numbers
- Home
- Identifying Like Terms
- Combining like terms: Whole number coefficients
- Introduction to properties of addition
- Multiplying a constant and a linear monomial
- Distributive property: Whole Number coefficients
- Factoring a linear binomial
- Identifying parts in an algebraic expression
- Identifying equivalent algebraic expressions
- Introduction to properties of multiplication

- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who

# 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)**

### Answer : A

### 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)**

### Answer : C

### 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(8y**

^{3}+ 15)### Answer : B

### 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(8y^{3} + 15) = 4(8y^{3}) + 4(15) = 32y^{3} + 60

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

**3(9x − 5)**

### Answer : D

### Explanation

**Step 1:**

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)**

### Answer : B

### Explanation

**Step 1:**

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)**

### Answer : D

### Explanation

**Step 1:**

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)**

### Answer : C

### Explanation

**Step 1:**

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(x**

^{2}+ 4x)### Answer : A

### Explanation

**Step 1:**

For any three numbers a, b and c,

a (b + c) = ab + ac

**Step 2:**

Using distributive property of multiplication:

6(x^{2} + 4x) = 6(x^{2}) + 6(4x) = 6x^{2}+ 24x

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

**9(3y – 4)**

### Answer : B

### Explanation

**Step 1:**

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(6x**

^{2}− 11)### Answer : C

### Explanation

**Step 1:**

For any three numbers a, b and c,

a (b + c) = ab + ac

**Step 2:**

Using distributive property of multiplication:

5(6x^{2} − 11) = 5(6x^{2})− 5(11) = 30x^{2} − 55