Extra Practice - 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 and constants, and is often solved to find the value of the 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, greater than or equal to, or less than or equal to the other.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

What is the first step in solving the equation 3x - 5 = 7?

Back

Add 5 to both sides of the equation.

Front

What is the solution to the inequality 6a + 12 < 30?

Back

The solution is a < 3.

Front

How do you represent a situation with an inequality?

Back

You identify the quantities involved and express the relationship using inequality symbols (>, <, ≥, ≤).

Front

What does the inequality a ≥ 11 mean?

Back

It means that the value of a is greater than or equal to 11.

Front

How do you write an equation for a situation?

Back

Identify the fixed costs and variable costs, then express the total cost as an equation.

Front

What is the equation for the electrician's bill if he charges $90 per hour and a $60 fee?

Back

The equation is 90h + 60 = 600.

Front

What is the solution to the equation 90h + 60 = 600?

Back

h = 6.