Expressions, Equations, & Inequalities

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 is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or not equal to the other.

Front

What does it mean for two expressions to be equivalent?

Back

Two expressions are equivalent if they have the same value for all values of the variable(s) involved.

Front

How do you simplify the expression 6(3y - 2y + 7)?

Back

Combine like terms: 6(3y - 2y + 7) = 6(1y + 7) = 6y + 42.

Front

What is the first step to solve the equation 6x + 7 = 331?

Back

Subtract 7 from both sides: 6x = 331 - 7.

Front

How do you represent a situation where a person has less than a certain amount of money?

Back

Use an inequality, for example: 12h - 35 < 25.

Front

What is the purpose of using variables in expressions and equations?

Back

Variables represent unknown values and allow us to create general formulas and solve problems.

Front

What does the term 'like terms' mean?

Back

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

Front

How can you check if two expressions are equivalent?

Back

Substitute the same value for the variable in both expressions and see if they yield the same result.