Solving Multistep Equations and Inequalities

Front

What is a multistep equation?

Back

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

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations on both sides of the equation to get the variable alone on one side.

Front

What does it mean to solve an inequality?

Back

Solving an inequality means finding the range of values that make the inequality true.

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.

Front

How do you graph an inequality on a number line?

Back

To graph an inequality, use an open circle for < or > and a closed circle for ≤ or ≥, then shade the appropriate side of the circle.

Front

What is the first step in solving the inequality -3 − 6(4x + 6) > -111?

Back

The first step is to distribute -6 to both terms inside the parentheses.

Front

What does it mean when a solution is x < 3?

Back

It means that x can be any number less than 3.

Front

How do you check if your solution to an inequality is correct?

Back

Substitute the solution back into the original inequality to see if it holds true.

Front

What is the solution to the inequality 6x + 10 > 5x - 12?

Back

The solution is x > -22.

Front

What are two solutions to the inequality 2(x - 1) < 8?

Back

Two solutions are x = 2 and x = 3.