Combining like terms Whole number coefficients Online Quiz

Following quiz provides Multiple Choice Questions (MCQs) related to Combining like terms 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 expression by combining like terms:

5a + 4b 5c + 6a + 9b

Answer : A

Explanation

Step 1:

Combining like terms

5a + 4b 5c + 6a + 9b = (5a + 6a) + (4b + 9b) 5c

Step 2:

(5a + 6a) + (4b + 9b) 5c

= 11a + 13b 5c

Step 3:

So, 5a + 4b 5c + 6a + 9b

= 11a + 13b 5c

Q 2 - Simplify the following expression by combining like terms:

7f + 8g + 4f + 3f + 6f + 2g

Answer : C

Explanation

Step 1:

Combining like terms

7f + 8g + 4f + 3f + 6f + 2g

= (3f + 4f + 6f + 7f) + (8g + 2g)

Step 2:

(3f + 4f + 6f + 7f) + (8g + 2g) = 20f + 10g

Step 3:

So, 7f + 8g + 4f + 3f + 6f + 2g

= 20f + 10g

Q 3 - Simplify the following expression by combining like terms:

12x 15y 18x + 17y + 20x

Answer : B

Explanation

Step 1:

Combining like terms

12x 15y 18x + 17y + 20x

= (12x 18x + 20x) + (15y + 17y)

Step 2:

(12x 18x + 20x) + (15y + 17y) = 14x + 2y

Step 3:

So, 12x 15y 18x + 17y + 20x

= 14x + 2y

Q 4 - Simplify the following expression by combining like terms:

10x + 3y + 3x + 4y + 5x + 3z

Answer : D

Explanation

Step 1:

Combining like terms

10x + 3y + 3x + 4y + 5x + 3z

= (10x + 3x + 5x) + (3y + 4y) + 3z

Step 2:

(10x + 3x + 5x) + (3y + 4y) + 3z

= 18x + 7y + 3z

Step 3:

So, 10x + 3y + 3x + 4y + 5x + 3z

= 18x + 7y + 3z

Q 5 - Simplify the following expression by combining like terms:

9x + 7y + 4x 11y + 10x 8x

Answer : B

Explanation

Step 1:

Combining like terms

9x + 7y + 4x 11y + 10x 8x

= (9x + 4x +10x 8x) + (7y 11y)

Step 2:

(9x + 4x +10x 8x) + (7y 11y)

= 15x 4y

Step 3:

So, 9x + 7y + 4x 11y + 10x 8x

= 15x 4y

Q 6 - Simplify the following expression by combining like terms:

3x + 15y 7x + 10y + 9z

Answer : C

Explanation

Step 1:

Combining like terms

3x + 15y 7x + 10y + 9z

= (3x 7x) + (10y + 15y) + 9z

Step 2:

(3x 7x) + (10y + 15y) + 9z

= 4x + 25y + 9z

Step 3:

So, 3x + 15y 7x + 10y + 9z

= 4x + 25y + 9z

Q 7 - Simplify the following expression by combining like terms:

8a + 7b + 2b + 3a 5c

Answer : A

Explanation

Step 1:

Combining like terms

8a + 7b + 2b + 3a 5c

= (8a + 3a) + (2b + 7b) 5c

Step 2:

(8a + 3a) + (2b + 7b) 5c

= 11a + 9b 5c

Step 3:

So, 8a + 7b + 2b + 3a 5c

= 11a + 9b 5c

Q 8 - Simplify the following expression by combining like terms:

10a + 7b + 6c + 8a + 6b + 9c

Answer : D

Explanation

Step 1:

Combining like terms

10a + 7b + 6c + 8a + 6b + 9c

= (10a + 8a) + (6b + 7b) + (6c + 9c)

Step 2:

(10a + 8a) + (6b + 7b) + (6c + 9c)

= 18a + 13b + 15c

Step 3:

So, 10a + 7b + 6c + 8a + 6b + 9c

= 18a + 13b + 15c

Q 9 - Simplify the following expression by combining like terms:

20x 2xy² + 3x 13xy²

Answer : B

Explanation

Step 1:

Combining like terms

20x 2xy² + 3x 13xy²

= (20x + 3x) (2xy² + 13xy²)

Step 2:

(20x + 3x) (2xy² + 13xy²)

= 23x 15xy²

Step 3:

So, 20x 2xy² + 3x 13xy²

= 23x 15xy²

Q 10 - Simplify the following expression by combining like terms:

2x + 8y + 8x + 9y 5y 17z + 5z

Answer : A

Explanation

Step 1:

Combining like terms

2x + 8y + 8x + 9y 5y 17z + 5z

= (2x + 8x) + (8y + 9y 5y) + (5z 17z)

Step 2:

(2x + 8x) + (8y + 9y 5y) + (5z 17z)

= 10x + 12y 12z

Step 3:

So, 2x + 8y + 8x + 9y 5y 17z + 5z

= 10x + 12y 12z

combining_like_terms_whole_number_coefficients.htm