Combining like terms (with Distribution)

Front

What is a constant in an expression?

Back

A constant is a term in an expression that does not change its value. For example, in the expression -10x + 6r + 18p - 41, -41 is the constant.

Front

How many terms are in the expression 3y?

Back

There is 1 term in the expression 3y.

Front

Simplify the expression 3(x + 3).

Back

3(x + 3) simplifies to 3x + 9.

Front

Simplify the expression -2x - 4(4x - 8).

Back

-2x - 4(4x - 8) simplifies to -18x + 32.

Front

What is the coefficient of the first term in the expression -7x + 6r - 5p + 2?

Back

The coefficient of the first term -7x is -7.

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

What is a term in an algebraic expression?

Back

A term is a single mathematical expression that can be a number, a variable, or a combination of both, separated by addition or subtraction.

Front

What is the distributive property?

Back

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

Front

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

Back

5(2x + 3) - 4x simplifies to 10x + 15 - 4x = 6x + 15.

Front

What is the difference between a coefficient and a constant?

Back

A coefficient is a number that multiplies a variable, while a constant is a fixed value that does not change.