Equations and Inequalities

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more variables.

Front

What is an inequality?

Back

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

Front

Solve for c: 3c + 5 = 23

Back

c = 6

Front

Solve for x: x / 2 - 5 = 3

Back

x = 16

Front

Solve for x: 4x + 7 = 23

Back

x = 4

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.

Front

Simplify: 5(a + 6)

Back

5a + 30

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

Solve the inequality: x + 5 ≤ 13

Back

x ≤ 8

Front

What is a variable in mathematics?

Back

A variable is a symbol, often a letter, that represents an unknown value in mathematical expressions or equations.