Math Problem Solving

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

How do you solve the inequality 2x - 4 > 12?

Back

Add 4 to both sides: 2x > 16. Then divide by 2: x > 8.

Front

What does the graph of an inequality represent?

Back

The graph of an inequality represents all the possible solutions that satisfy the inequality.

Front

What is the perimeter of a square?

Back

The perimeter of a square is calculated by adding the lengths of all four sides, or using the formula P = 4s, where s is the length of one side.

Front

If the perimeter of a square is given by 4(-2x + 5z + 12), what is the simplified expression for the perimeter?

Back

The simplified expression is -8x + 20z + 48.

Front

What is the solution to the equation 2x + 3 = 9?

Back

The solution is x = 3.

Front

How do you solve the inequality -4x - 5 > 19?

Back

Add 5 to both sides: -4x > 24. Then divide by -4 (remember to flip the inequality): x < -6.

Front

What is an equivalent expression?

Back

An equivalent expression is a different expression that has the same value for all values of the variable.

Front

How do you combine like terms in the expression -4x - 10 - 5x - 11?

Back

Combine -4x and -5x to get -9x, and combine -10 and -11 to get -21. The equivalent expression is -9x - 21.

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 than or less than another.