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 x: 2x + 3 = 11

Back

x = 4

Front

What does it mean to 'flip the sign' in an inequality?

Back

Flipping the sign means to reverse the inequality symbol (e.g., from ≥ to ≤) when multiplying or dividing both sides of the inequality by a negative number.

Front

Solve for x: -4x ≤ 12

Back

x ≥ -3

Front

What is the Multiplication Property of Equality?

Back

The Multiplication Property of Equality states that if you multiply both sides of an equation by the same non-zero number, the two sides remain equal.

Front

Write an inequality for: 'The temperature is less than 30 degrees.'

Back

t < 30

Front

Solve for x: 3x - 5 > 1

Back

x > 2

Front

What is the Addition Property of Inequality?

Back

The Addition Property of Inequality states that if you add the same number to both sides of an inequality, the inequality remains true.

Front

Write an inequality for: 'A number is at most 10.'

Back

x ≤ 10