Combining Like Terms
Grade 7 · Math · Expressions and Equations · Alaska, USA
Lesson Summary
Simplify expressions by grouping and adding terms that have the same variable part.
Explanation
Like terms are parts of an expression that have the same variable raised to the same power. For example, 3x and 7x are like terms, but 3x and 3x² are not. To combine them, add or subtract their coefficients. Combining like terms makes expressions shorter and easier to work with, which is an important first step before solving equations.
Practice Questions
Q1: Simplify: 5x + 3 − 2x + 8.
Answer: Combine the x-terms: 5x − 2x = 3x. Combine the constants: 3 + 8 = 11. Answer: 3x + 11.
Q2: Simplify: 4a − 7 + 2a − 3a + 1.
Answer: Combine a-terms: 4a + 2a − 3a = 3a. Combine constants: −7 + 1 = −6. Answer: 3a − 6.
Q3: Simplify: 6y² + 2y − y² + 4y.
Answer: Combine y²-terms: 6y² − y² = 5y². Combine y-terms: 2y + 4y = 6y. Answer: 5y² + 6y.
People Also Ask
What is Combining Like Terms in Grade 7 Math?+
Combining Like Terms is a lesson in the Expressions and Equations chapter of Grade 7 Math. It is part of the Alaska, USA school curriculum and covers key concepts that students need to understand at this level.
What grade level covers Combining Like Terms?+
Combining Like Terms is taught in Grade 7 as part of the Math curriculum in Alaska, USA.
How can I help my child with Expressions and Equations in Math?+
Start with the lesson summary and explanation on this page. Practice the questions provided, then use TutorTom for personalized, step-by-step help with Expressions and Equations topics.