Combine Like Terms and Distributive Property

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: 5x + 3x.

Back

8x.

Front

Simplify the expression: 4y - 2y + 7.

Back

2y + 7.

Front

Expand the expression using the distributive property: 3(x + 4).

Back

3x + 12.

Front

Expand and simplify: 2(a + 3) - 4.

Back

2a + 6 - 4 = 2a + 2.

Front

What is the result of distributing 7 to (3b - 2c + 4)?

Back

21b - 14c + 28.

Front

Simplify the expression: 7a - 8 - 12a + 4.

Back

-5a - 4.

Front

Expand and simplify: 3(c - 2d) - 2(2c - 3d).

Back

-c.

Front

What is the simplified form of 2(c - 8)?

Back

2c - 16.