Combining 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 a like term?

Back

Like terms are terms that have the same variable(s) raised to the same power. For example, 3x and 5x are like terms.

Front

Simplify the expression: 3x + 4x.

Back

7x.

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(3 + 4x).

Back

6 + 8x.

Front

What is the first step in simplifying the expression: 5x + 3 - 2x + 7?

Back

Combine like terms: (5x - 2x) + (3 + 7).

Front

Simplify the expression: 4y - 2y + 6.

Back

2y + 6.

Front

What is the result of simplifying: 10 - 3(2 + 4)?

Back

-2.

Front

Simplify the expression: 6a + 2(3a - 4).

Back

12a - 8.

Front

What is the result of combining like terms: 7m + 2n - 3m + 5n?

Back

4m + 7n.