Simplify Expressions

Front

What is the process of combining like terms in an expression?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power. For example, in the expression 2x + 3x, you can combine them to get 5x.

Front

Simplify the expression: 2x + 1 + 7x

Back

9x + 1

Front

What does it mean to expand an expression?

Back

Expanding an expression means to multiply out the terms and simplify. For example, expanding 3(x + 5) results in 3x + 15.

Front

Simplify the expression: -2(3x - 8)

Back

-6x + 16

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 2x and 3x are like terms, while 2x and 2y are not.

Front

Simplify the expression: y + x + y + y + x

Back

2x + 3y

Front

What is the coefficient in the expression 4a?

Back

The coefficient is the number in front of the variable, which in this case is 4.

Front

Simplify the expression: a + a + a + a

Back

4a

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 each term inside a parenthesis.

Front

Expand the expression: 3(x + 5)

Back

3x + 15