Expressions and Equations (B2)

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 combine like terms and reduce it to its simplest form.

Front

What are like terms?

Back

Like terms are terms in an expression that have the same variable raised to the same power.

Front

How do you combine like terms?

Back

You combine like terms by adding or subtracting their coefficients while keeping the variable part the same.

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

What is the solution to the equation 3x + 15 = 3(x + 5)?

Back

The equation is true for all values of x, as both sides simplify to the same expression.

Front

What is the result of 3(3x - 5)?

Back

The result is 9x - 15.

Front

How do you solve for x in the equation 3x + 15 = 30?

Back

Subtract 15 from both sides to get 3x = 15, then divide by 3 to find x = 5.

Front

What is the first step in solving the equation 2(x + 3) = 14?

Back

The first step is to distribute the 2, resulting in 2x + 6 = 14.