Simplifying Expressions

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 3y are not.

Front

How do you simplify the expression 9z - 21 - 3z + 10?

Back

The simplified expression is 6z - 11.

Front

In the expression 3y, what is the 3 called?

Back

The 3 is called the coefficient.

Front

What is the perimeter of a rectangle with length 12x and width 6?

Back

The perimeter is 36x.

Front

What is the result of -2(3y - 5)?

Back

The result is -6y + 10.

Front

What is a coefficient?

Back

A coefficient is a numerical factor in a term of an algebraic expression. For example, in 4x, 4 is the coefficient.

Front

What are constants in algebra?

Back

Constants are fixed values that do not change. For example, in the expression 5x + 3, the number 3 is a constant.

Front

How do you combine like terms?

Back

To combine like terms, add or subtract their coefficients while keeping the variable part the same. For example, 2x + 3x = 5x.

Front

What is the difference between a variable and a constant?

Back

A variable is a symbol that represents an unknown value, while a constant is a fixed value.

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 unnecessary parentheses.