Identifying parts in an algebraic expression Online Quiz



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Questions and Answers
Q 1 - Identify the like terms in the expression:

11x − 15y − 19x + 18y

Answer : A

Explanation

Step 1:

The following are like terms because each term consists of variables, x, and a numeric coefficient.

11x, −19x

Step 2:

The following are like terms because each term consists of variables, y, and a numeric coefficient.

18y, −15y

Q 2 - Identify the coefficient of g2 term in the expression:

7f + 8g + 11g2 – 12h

Answer : D

Explanation

Step 1:

The numeric part of a term is generally called the coefficient.

Step 2:

The term containing g2 is 11g2.

So, the coefficient of g2 in the term is 11.

Q 3 - Identify the constant term in the expression:

5x + 7y + 8z + 9

Answer : B

Explanation

Step 1:

In an algebraic expression, the term with no variables is called the constant.

Step 2:

In given expression, the constant is obviously 9.

Q 4 - Identify the highest degree/order of the expression:

10x + 5x2 −6y + 7

Answer : C

Explanation

Step 1:

The term in the given expression with highest degree is 5x2. The degree of the variable is 2.

Step 2:

So, the highest degree or order of the given expression is 2.

Q 5 - Identify the term with coefficient −6 in the expression:

3a3 + 9b2 − 6c3 + 17

Answer : B

Explanation

Step 1:

In the given expression, the term with coefficient −6 is −6c3.

Step 2:

So, answer is −6c3

Q 6 - Identify the like terms in the expression:

8a + 12b + 9c + 5a + 4b

Answer : C

Explanation

Step 1:

The unlike terms consist of different variables.

Step 2:

The unlike terms because each term consists of different variables, a, b and c are

8a, 12b and 9c

Q 7 - Identify the constant term in the expression:

8x + 42y + 15z + 56

Answer : A

Explanation

Step 1:

In an algebraic expression, the term with no variables is called the constant.

Step 2:

In given expression, the constant is obviously 56.

Q 8 - Identify the coefficient of second term in the expression:

5x2 + 8y3 + 3x + 9y −5y2

Answer : D

Explanation

Step 1:

The numeric part of a term is generally called the coefficient.

Step 2:

The second term in the expression is 8y3.

The coefficient of this term is 8.

Q 9 - Identify the term whose coefficient is −18 in the expression:

44x + 3xy2 −18xy2 + 9z

Answer : B

Explanation

Step 1:

The numeric part of a term is generally called the coefficient.

Step 2:

The term whose coefficient is −18 is −18xy2.

Q 10 - Identify the like terms in the expression:

7a2 + 3b3 + 5b3 + 6a2 − 8a2

Answer : A

Explanation

Step 1:

The following are like terms because each term consists of variables, a2, and a numeric coefficient.

6a2, −8a2, 7a2

Step 2:

The following are like terms because each term consists of variables, b3, and a numeric coefficient.

3b3, 5b3

identifying_parts_in_algebraic_expression.htm
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