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More Lessons for Grade 6 Math

Math Worksheets

Videos, solutions, and worksheets to help Grade 6 students learn about terms, variables, coefficients and constants in algebra.

The following diagrams give examples of equations, expressions, terms, coefficients, variables, constants. Scroll down for examples and solutions.

**Algebraic Expression Vocabulary - Terms, Coefficients, Constants**

Terms are parts of an algebraic expression separated by addition or subtraction (+, -) symbols.

A constant term is a number with no variable factors. It is a term whose value never changes.

Examples:

1. Consider the algebraic expression: 4x^{5} + ^{4} - 22x^{2} - x + 17

a. List the terms.

b. Identify the constant term.

2. Complete the table by listing the factors and identifying the coefficients.

3. Consider the algebraic expression 5y^{4} - 8y^{3} + y^{2} - y/4 - 7

a. How many terms are there?

b. Identify the constant term.

c. What is the coefficient of the first term?

d. What is the coefficient of the second term?

e. What is the coefficient of the third term?

f. List the factors of the fourth term.**Terms and Coefficients**

Defines terms and coefficients and variable part of a term in preparation for combining like terms.

A term is a number, variable, or a product or quotient of numbers and variables

A variable expression contain one or more variable terms added or subtracted.**Terms, variables, constants, coefficients**

A variable is a symbol (usually letter/letters) used to represent:

a) an unknown quantity (number)

b) any one of many numbers to indicate a general principle.

A constant is a single number.

A coefficient is a number "in front of" a variable.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

More Lessons for Grade 6 Math

Math Worksheets

The following diagrams give examples of equations, expressions, terms, coefficients, variables, constants. Scroll down for examples and solutions.

Terms are parts of an algebraic expression separated by addition or subtraction (+, -) symbols.

A constant term is a number with no variable factors. It is a term whose value never changes.

Examples:

1. Consider the algebraic expression: 4x

a. List the terms.

b. Identify the constant term.

2. Complete the table by listing the factors and identifying the coefficients.

3. Consider the algebraic expression 5y

a. How many terms are there?

b. Identify the constant term.

c. What is the coefficient of the first term?

d. What is the coefficient of the second term?

e. What is the coefficient of the third term?

f. List the factors of the fourth term.

Defines terms and coefficients and variable part of a term in preparation for combining like terms.

A term is a number, variable, or a product or quotient of numbers and variables

A variable expression contain one or more variable terms added or subtracted.

A variable is a symbol (usually letter/letters) used to represent:

a) an unknown quantity (number)

b) any one of many numbers to indicate a general principle.

A constant is a single number.

A coefficient is a number "in front of" a variable.

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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