Expressions and Equations

Front

What is an expression in mathematics?

Back

An expression is a combination of numbers, variables, and operators (such as +, -, *, /) that represents a value.

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing an equal sign (=).

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 performing operations.

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

How do you solve for a variable in an equation?

Back

To solve for a variable, isolate the variable on one side of the equation using inverse operations.

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power, allowing them to be combined.

Front

What is the first step in solving the equation 12 - 6y = 24?

Back

The first step is to isolate the term with the variable by subtracting 12 from both sides.

Front

What is the result of combining the like terms in the expression 3x + 5x?

Back

The result is 8x.

Front

What is the simplified form of the expression 3x + 4 + 5x + 3?

Back

The simplified form is 8x + 7.

Front

How do you add the expressions (3x + 15) + (4x + 13)?

Back

Combine like terms: 3x + 4x + 15 + 13 = 7x + 28.