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More Lessons for Grade 7 Math

Math Worksheets

Videos, solutions, worksheets, games and activities to help Algebra 1 or grade 7 students learn how to identify the parts of an algebraic expression. Vocabulary for Algebraic Expressions. How to write and evaluate expressions?

**Parts of an expression (terms, coefficients and variables) and evaluating expressions**

What is a term?

A term is any coefficient and it's variable.

Examples:

1. Identify the terms in the expression 4x - 2y + 5

2. Identify the coefficient and variable in the term.

3. Evaluate an expression.

4. If x = 4 and y = 2 evaluate 3x + 5y

5. Evaluate the expression 3 + a - 2b if a = 7 and b = 2.

6. Jim and Jane like to go running in the morning. Jim runs twice as far as Jane. What is the combined distance they travel? Let J be the distance Jane runs.

**Vocabulary for Algebraic Expressions**

In an algebraic expression, terms are things that are separated by either a + or -.

The official definition is: A term is a number, a variable, or a product or quotient of numbers and variables raised to powers.

Example:

Identify the terms in the following expression:

2x^{4} + 3x^{3} - 5x^{2} - 8x + 12

Each of the terms is made up of a coefficient and a variable. The coefficient is the number in front of the variable

Example:

1. Name the coefficient in the term 2x^{4}

2. Name the coefficient in the term x

3. Name the coefficient in the term -x

When we just have a number, we call that a constant.

Example:

Name the constant in the following expression.

2x^{4} + 3x^{3} - 5x^{2} - 8x + 12

When an algebraic expression is written properly, we call it descending order.

The first term is called the leading term and the number in front of the variable is called the leading coefficient.

**Variables and Algebraic **

Variable is a symbol, usually a letter, that represents one or more numbers.

Algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols.

Examples:

1. Write an algebraic expression for each phrase

a) the sum of n and 8

b) t minus 15

2. Define a variable and write an algebraic expression for each phrase.

a) ten more than twice a number

b) three times a number minus 6

c) 9 less than a number

d) the sum of twice a number and 31

An equation is a mathematical sentence that uses an equal sign.

An open sentence is an equation that contains one or more variables.

Example:

1. Write an equation to show the total incomes from selling tickets to a school play for $5 each.

2. Write an equation for the data in the table.

**How to Identify Parts of an Expression?**

Example:

Identify the terms, like terms, coefficients, and constants in the expression

8m - 6m - 4 + m -7.

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 7 Math

Math Worksheets

Videos, solutions, worksheets, games and activities to help Algebra 1 or grade 7 students learn how to identify the parts of an algebraic expression. Vocabulary for Algebraic Expressions. How to write and evaluate expressions?

What is a term?

A term is any coefficient and it's variable.

Examples:

1. Identify the terms in the expression 4x - 2y + 5

2. Identify the coefficient and variable in the term.

3. Evaluate an expression.

4. If x = 4 and y = 2 evaluate 3x + 5y

5. Evaluate the expression 3 + a - 2b if a = 7 and b = 2.

6. Jim and Jane like to go running in the morning. Jim runs twice as far as Jane. What is the combined distance they travel? Let J be the distance Jane runs.

In an algebraic expression, terms are things that are separated by either a + or -.

The official definition is: A term is a number, a variable, or a product or quotient of numbers and variables raised to powers.

Example:

Identify the terms in the following expression:

2x

Each of the terms is made up of a coefficient and a variable. The coefficient is the number in front of the variable

Example:

1. Name the coefficient in the term 2x

2. Name the coefficient in the term x

3. Name the coefficient in the term -x

When we just have a number, we call that a constant.

Example:

Name the constant in the following expression.

2x

When an algebraic expression is written properly, we call it descending order.

The first term is called the leading term and the number in front of the variable is called the leading coefficient.

Variable is a symbol, usually a letter, that represents one or more numbers.

Algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols.

Examples:

1. Write an algebraic expression for each phrase

a) the sum of n and 8

b) t minus 15

2. Define a variable and write an algebraic expression for each phrase.

a) ten more than twice a number

b) three times a number minus 6

c) 9 less than a number

d) the sum of twice a number and 31

An equation is a mathematical sentence that uses an equal sign.

An open sentence is an equation that contains one or more variables.

Example:

1. Write an equation to show the total incomes from selling tickets to a school play for $5 each.

2. Write an equation for the data in the table.

Example:

Identify the terms, like terms, coefficients, and constants in the expression

8m - 6m - 4 + m -7.

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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