Simplifying algebraic expressions

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables (like x or y), and operations (like addition, subtraction, multiplication, and division).

Front

What does it mean to simplify an algebraic expression?

Back

To simplify an algebraic expression means to combine like terms and reduce it to its simplest form.

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.

Front

Simplify: -1x + y - z + 10z + 2x - 10y

Back

1x - 9y + 9z

Front

Simplify: 5x - 6x - 8x + 7

Back

-9x + 7

Front

Simplify: 17m - 4 - 15m + 8

Back

2m + 4

Front

Simplify by combining like terms: 5a + 2b - 3a + 4

Back

2a + 2b + 4

Front

What is the coefficient in the term 16f?

Back

The coefficient is 16, which is the number multiplying the variable f.

Front

What is a constant in an algebraic expression?

Back

A constant is a fixed value that does not change, such as -4 in the expression 17m - 4.

Front

Simplify: -9 + 13 + 16f + 19f

Back

35f + 4