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
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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
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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
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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
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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
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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
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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
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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
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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
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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
Show Answer
combining_like_terms_whole_number_coefficients.htm
