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

Solve for x: x/5 = 6

Back

x = 30

Front

Write an inequality for Pheobe's savings situation: She has $500 and wants at least $200 left after withdrawing $25 each week.

Back

500 - 25w ≥ 200

Front

Simplify: 4(-p - 6)

Back

-4p - 24

Front

Simplify: -4(8r + 3)

Back

-32r - 12

Front

Solve for x: -3x + 5 = -13

Back

x = 6

Front

What does it mean to isolate a variable in an equation?

Back

To isolate a variable means to manipulate the equation so that the variable is on one side and all other terms are on the opposite side.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside a set of parentheses.