Linear Expressions with Rational Coefficients

Videos, solutions, examples, 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

2. Use the expression 14 + 2b - 18.
a) Write the expression in standard form.
b) Write the expression in factored form.
c) Add 9b + 11 to the expression and then simplify.
3. Which expression is equivalent to the expression -3(4x - 2) - 2x?

4. Ms. Offerdahl simplified the expression 2 - (3x - 5) with the following steps:
Step 1: 2 - (3x - 5)
Step 2: 2 - 3x - 5
Step 3: -3x - 3
On which step did Ms. Offerdahl make an error?
Fix her error below and write the final simplified expression.

Try the free Mathway calculator and problem solver below to practice various 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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