Simplifying 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 4a + 9 + a, the like terms 4a and a can be combined to simplify it to 5a + 9.

Front

Simplify the expression: 4a + 9 + a

Back

5a + 9

Front

What are like terms?

Back

Like terms are terms in an expression that have the same variable raised to the same power. For example, 3x and 5x are like terms, while 3x and 4y are not.

Front

Simplify the expression: 2 apples + 7 oranges + 6 apples

Back

8 apples + 7 oranges

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 two or more terms inside a set of parentheses.

Front

Simplify the expression: 3(2x + 1) + 2(x - 4)

Back

8x - 5

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 eliminating parentheses.

Front

Simplify the expression: 5(2 - 7n)

Back

10 - 35n

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable. For example, in the term 4a, 4 is the coefficient.

Front

What is a constant in an algebraic expression?

Back

A constant is a fixed value that does not change. In the expression 3x + 5, the number 5 is a constant.