Solving & Writing 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, or not equal to the other.

Front

How do you solve a linear equation?

Back

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

Front

What does it mean to isolate a variable?

Back

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

Front

What is the solution to the equation 72.48 + 6x = 18.08x?

Back

The solution is x = 6, meaning after 6 games, both fans will have paid the same amount.

Front

What is the first step in solving the equation 5x - 14 = 8x + 4?

Back

The first step is to move all terms involving x to one side and constant terms to the other side.

Front

What is a flat fee in a pricing model?

Back

A flat fee is a fixed charge that does not change regardless of the amount of service used.

Front

How do you set up an equation to compare two pricing models?

Back

Set the total costs of both models equal to each other to find the point at which they are the same.

Front

What is the significance of the variable 'n' in the inequality 0.35n + 25 > 0.25n + 37?

Back

The variable 'n' represents the number of phone calls made, which affects the total cost of the plans.

Front

What does it mean if an inequality is true?

Back

If an inequality is true, it indicates that the relationship between the two expressions holds, meaning one expression is greater than or less than the other.