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, using symbols like >, <, ≥, or ≤.

Front

How do you represent a situation with an inequality?

Back

Identify the quantities involved, determine the relationship between them, and use inequality symbols to express that relationship.

Front

What does it mean to solve an inequality?

Back

To solve an inequality means to find all values of the variable that make the inequality true.

Front

What is the first step in solving the inequality -3x + 4 > -2?

Back

Subtract 4 from both sides to isolate the term with the variable.

Front

What is the solution to the inequality 500 - 25w ≥ 200?

Back

w ≤ 12, meaning Phoebe can withdraw money for up to 12 weeks.

Front

How do you factor the expression 12x - 20?

Back

Factor out the greatest common factor, which is 4, to get 4(3x - 5).

Front

What is the purpose of writing an equation from a word problem?

Back

To translate a real-world situation into a mathematical form that can be solved.

Front

What is the solution to the equation 11 - 3x = 44?

Back

x = -11, found by isolating x on one side of the equation.