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 are like terms?

Back

Like terms are terms that have the same variable raised to the same power. They can be combined by adding or subtracting their coefficients.

Front

How do you combine like terms?

Back

To combine like terms, add or subtract the coefficients of the terms that have the same variable. For example, in 3a + 2a, you combine to get 5a.

Front

What is a variable?

Back

A variable is a symbol, often a letter, that represents an unknown value in an expression or equation.

Front

What does it mean to simplify an expression?

Back

Simplifying an expression means to reduce it to its simplest form by combining like terms and performing any possible operations.

Front

What is the solution to the equation 3c + 5 = 23?

Back

c = 6.

Front

What does the inequality x < -3 mean?

Back

It means that x is any number that is less than -3.

Front

Back

First, calculate 27 - 3 = 24. Then, divide 24 by 4 to get 6. Finally, add 5^2 (which is 25) to get 31.

Front

What is the difference between an expression and an equation?

Back

An expression does not have an equal sign and represents a value, while an equation states that two expressions are equal.