7th grade Expressions, Distributive Property, Combine Like Terms

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

Simplify the expression: 3a + 4a.

Back

7a.

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

Simplify the expression: 5x + 3x - 2.

Back

8x - 2.

Front

What is a variable in algebra?

Back

A variable is a symbol, often a letter, that represents a number in mathematical expressions or equations.

Front

Evaluate the expression: 2x + 3 when x = 5.

Back

2(5) + 3 = 10 + 3 = 13.

Front

What is the greatest common factor (GCF)?

Back

The GCF is the largest number that divides two or more numbers without leaving a remainder.

Front

Factor the expression: 12y + 8.

Back

4(3y + 2).

Front

Use the distributive property to simplify: 6(2 + 3).

Back

6(2) + 6(3) = 12 + 18 = 30.

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor in a term of an algebraic expression, such as the 3 in 3x.