# Linear Expressions with Rational Coefficients

Videos and lessons to help Grade 7 students learn how to apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.

Common Core: 7.EE.1

### Suggested Learning Targets

• I can simplify algebraic expressions by using distributive property.
• I can apply properties of real numbers (add, subtract and expand linear expressions).
• I can apply properties of real numbers (factor).
• I can simplify algebraic expressions by combining like terms.
• I can create a new equivalent expression when given a factored expression and a fully expanded expression ex. Given y(3+x+k) & 3y + xy

Related Topics:

Common Core for Mathematics

Applying properties of operations to linear expressions with rational coefficients 1 of 4 (7.EE.1)
In this lesson you will learn how to add linear expressions with rational coefficients by combining like terms.

Applying properties of operations to linear expressions with rational coefficients 2 of 4 (7.EE.1)
In this lesson you will learn how to expand linear expressions with rational coefficients by using the properties of real numbers.

Applying properties of operations to linear expressions with rational coefficients 3 of 4 (7.EE.1)
In this lesson you will learn how to expand linear expressions with rational coefficients by using an area model and the distributive property.

Applying properties of operations to linear expressions with rational coefficients 4 of 4 (7.EE.1)
In this lesson you will learn how to factor linear expressions with rational coefficients by using the distributive property.

Applying properties of operations to linear expressions with rational coefficients 1 of 5 (7.EE.1)
In this lesson you will learn how to simplify an expression by distributing a negative term.

Applying properties of operations to linear expressions with rational coefficients 2 of 5 (7.EE.1)
In this lesson you will learn to reverse the distributive property by factoring an expression.

Applying properties of operations to linear expressions with rational coefficients 3 of 5 (7.EE.1)
In this lesson you will learn to simplify expressions by using distribution and combining like terms.

Applying properties of operations to linear expressions with rational coefficients 4 of 5 (7.EE.1)
In this lesson you will learn how to simplify an expression with a fraction by using the distributive property.

Applying properties of operations to linear expressions with rational coefficients 5 of 5 (7.EE.1)
In this lesson you will learn how to simplify expressions by adding or subtracting terms with fractions.

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.