Topic 2: Equations and Inequalities

Front

What is an equation?

Back

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

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

What is the solution to the equation 2x - 1 = 3x + 8?

Back

x = -9

Front

What is the solution to the equation 5x + 1 = 2x - 5?

Back

x = -2

Front

What is the solution to the equation -11 + 3(b + 5) = 7?

Back

b = 1

Front

What is the solution to the equation 1x - 6 = 2x + 3?

Back

x = -9

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 to solve an inequality?

Back

To solve an inequality means to find the range of values for the variable that makes the inequality true.

Front

What is the solution to the inequality x - 10 ≥ 5?

Back

x ≥ 15

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows that one expression is greater than or less than another.