8th grade Distribute and combine like terms

Front

What does it mean to combine like terms in an expression?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

Front

Simplify the expression: 2(x + 3) + 4x.

Back

6x + 6.

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable, such as in 4x, where 4 is the coefficient.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form by combining like terms and applying the distributive property.

Front

Solve the expression: 5(2x + 3) - 4.

Back

10x + 15 - 4 = 10x + 11.

Front

What is the result of distributing -3 across (x - 4)?

Back

-3x + 12.

Front

Simplify the expression: 7y - 2y + 3.

Back

5y + 3.

Front

What is the first step in simplifying the expression: 4(3x - 2) + 2x?

Back

Distribute 4 to both terms inside the parentheses: 12x - 8 + 2x.

Front

What does it mean for two expressions to be equivalent?

Back

Two expressions are equivalent if they have the same value for all values of the variables.