Chapter 11 Multi-Step Equations and Inequalities Review

Front

What is a multi-step equation?

Back

A multi-step equation is an equation that requires more than one step to solve, often involving operations such as addition, subtraction, multiplication, and division.

Front

What does the inequality symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to', indicating that a value can be either greater than or equal to another value.

Front

How do you solve the inequality 5x + 3 ≥ 18?

Back

To solve, subtract 3 from both sides to get 5x ≥ 15, then divide by 5 to find x ≥ 3.

Front

What is the first step in solving the inequality -4a ≤ -28?

Back

The first step is to divide both sides by -4, remembering to reverse the inequality sign, resulting in a ≥ 7.

Front

What is the cost of renting a car for one day and driving 125 miles if the cost is $45 for the day and $0.25 per mile?

Back

The total cost is $45 + (125 miles * $0.25/mile) = $76.25.

Front

What does the inequality symbol '>' mean?

Back

The symbol '>' means 'greater than', indicating that one value is larger than another.

Front

How do you graph the solution set of the inequality -4n + 1 > -23?

Back

First, isolate n by subtracting 1 from both sides to get -4n > -24, then divide by -4 (reversing the inequality) to find n < 6.

Front

What is the solution to the inequality 3x - 5 > -26?

Back

Add 5 to both sides to get 3x > -21, then divide by 3 to find x > -7.

Front

What does the inequality symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to', indicating that a value can be either less than or equal to another value.

Front

What is the process for solving a multi-step inequality?

Back

The process involves isolating the variable by performing inverse operations, similar to solving equations, while paying attention to the direction of the inequality.