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.

Front

What does the symbol '=' represent?

Back

The symbol '=' represents equality, indicating that the values on both sides of the equation are the same.

Front

What does the symbol '>' represent?

Back

The symbol '>' represents that the value on the left is greater than the value on the right.

Front

What does the symbol '<' represent?

Back

The symbol '<' represents that the value on the left is less than the value on the right.

Front

How do you solve the equation x + 5 = 12?

Back

Subtract 5 from both sides: x = 12 - 5, so x = 7.

Front

What is the solution to the inequality y - 3 < 5?

Back

Add 3 to both sides: y < 8.

Front

What is the distance formula for sound traveling?

Back

The distance d that sound travels is given by d = speed × time.

Front

If d = 0.2t, what is the distance sound travels in 20 seconds?

Back

d = 0.2 × 20 = 4 miles.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone.