Equations/Inequalities Review

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, greater than or equal to, or less than or equal to the other.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. It indicates that the value on the left is either greater than or equal to the value on the right.

Front

How do you solve the inequality 5x + 10 ≥ 100?

Back

To solve, subtract 10 from both sides: 5x ≥ 90. Then divide by 5: x ≥ 18.

Front

What is the solution to the equation 4x - 5 = 11?

Back

To solve, add 5 to both sides: 4x = 16. Then divide by 4: x = 4.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. It indicates that the value on the left is either less than or equal to the value on the right.

Front

How do you solve the inequality 4x - 2 ≤ -22?

Back

To solve, add 2 to both sides: 4x ≤ -20. Then divide by 4: x ≤ -5.

Front

What is the first step in solving the equation 10x - 15 = 45?

Back

The first step is to add 15 to both sides: 10x = 60.

Front

What is the solution to the equation 2x = 4?

Back

To solve, divide both sides by 2: x = 2.

Front

What is a variable in an equation?

Back

A variable is a symbol, often represented by a letter, that stands for an unknown value in an equation.

Front

What does it mean to isolate a variable?

Back

To isolate a variable means to manipulate an equation so that the variable is on one side of the equation by itself.