Solving 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 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

How do you solve the equation -3x - 10 = 2?

Back

To solve for x, add 10 to both sides to get -3x = 12, then divide by -3 to find x = -4.

Front

What does it mean to isolate a variable in an equation?

Back

Isolating a variable means rearranging the equation so that the variable is on one side and all other terms are on the other side.

Front

What is the solution to the equation 2x + 5 = -17?

Back

The solution is x = -11.

Front

What does the symbol '>' mean in an inequality?

Back

The symbol '>' means 'greater than'.

Front

How do you solve the inequality 2x + 7 >= -13?

Back

Subtract 7 from both sides to get 2x >= -20, then divide by 2 to find x >= -10.

Front

What is the solution to the inequality -2x + 3 > -17?

Back

The solution is x < 10.

Front

What is a variable in mathematics?

Back

A variable is a symbol, often a letter, that represents an unknown value in an equation or expression.

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 or less than another.