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 and constants.

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.

Tags

CCSS.6.EE.B.8

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.

Tags

CCSS.8.EE.C.7B

Front

What does it mean to solve an inequality?

Back

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

Tags

CCSS.6.EE.B.8

Front

What is the difference between 'greater than' and 'greater than or equal to'?

Back

'Greater than' (>) means the left side is strictly larger than the right side, while 'greater than or equal to' (≥) includes the possibility of equality.

Tags

CCSS.6.EE.B.8

Front

What is the rule for adding or subtracting inequalities?

Back

When you add or subtract the same number from both sides of an inequality, the direction of the inequality remains the same.

Tags

CCSS.6.EE.B.8

Front

What happens when you multiply or divide both sides of an inequality by a positive number?

Back

The direction of the inequality remains the same.

Tags

CCSS.6.EE.B.8

Front

What happens when you multiply or divide both sides of an inequality by a negative number?

Back

The direction of the inequality flips.

Tags

CCSS.6.EE.B.8

Front

How do you represent 'a number s minus 2.4 is at least 8' as an inequality?

Back

s - 2.4 ≥ 8.

Tags

CCSS.7.EE.B.4B

Front

What is the solution to the equation (3x + 3)/6 = 10?

Back

x = 19.

Tags

CCSS.7.EE.B.4A