Equations and Inequalities

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more variables.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing 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 for a variable in an equation?

Back

To solve for a variable, isolate the variable on one side of the equation using inverse operations (addition, subtraction, multiplication, division).

Front

What does the variable 's' represent in the equation 48s = 52.25?

Back

In the equation 48s = 52.25, 's' represents the price of one Snickers bar.

Front

What is the first step to solve the equation x + 32.6 = 46?

Back

The first step is to subtract 32.6 from both sides of the equation to isolate x.

Front

What does the equation 18 + m = 45 represent?

Back

The equation represents a situation where Josh had 18 pencils and received some more, resulting in a total of 45 pencils.

Front

What is the solution to the equation x + 32.6 = 46?

Back

The solution is x = 13.4.

Front

What does the inequality 'height > 120 cm' indicate?

Back

It indicates that each player's height is greater than 120 cm.

Front

How can you express the price of a video game at another store if James bought it for $42.00 and found it for z dollars less?

Back

The expression is 42 - z.

Front

What is the purpose of using a number line in inequalities?

Back

A number line visually represents the solutions of an inequality, showing which values satisfy the condition.