The Distributive Property
Grade 7 · Math · Expressions and Equations · Utah, USA
Lesson Summary
Multiply a number across terms inside parentheses to remove grouping symbols.
Explanation
The distributive property says a(b + c) = ab + ac. You multiply the factor outside the parentheses by every term inside. This property also works with subtraction: a(b − c) = ab − ac. After distributing, you can often combine like terms to simplify further. The distributive property is one of the most frequently used tools in algebra.
Practice Questions
Q1: Expand: 3(x + 5).
Answer: 3 · x + 3 · 5 = 3x + 15.
Q2: Expand and simplify: −2(4m − 3) + m.
Answer: Distribute: −8m + 6 + m. Combine like terms: −7m + 6.
Q3: Expand: 5(2y + 1) − 3(y − 4).
Answer: 10y + 5 − 3y + 12 = 7y + 17.
People Also Ask
What is The Distributive Property in Grade 7 Math?+
The Distributive Property is a lesson in the Expressions and Equations chapter of Grade 7 Math. It is part of the Utah, USA school curriculum and covers key concepts that students need to understand at this level.
What grade level covers The Distributive Property?+
The Distributive Property is taught in Grade 7 as part of the Math curriculum in Utah, 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.