Solving 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

How do you isolate a variable in an equation?

Back

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

Front

What does it mean to solve an inequality?

Back

Solving an inequality means finding the range of values that satisfy the inequality condition, often represented on a number line.

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

What is the first step in solving the inequality -4x + 14 ≤ 54?

Back

The first step is to subtract 14 from both sides to simplify the inequality.

Front

What is the solution to the inequality -4x + 14 ≤ 54?

Back

x ≥ -10.

Front

How do you check the solution of an inequality?

Back

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

Front

What does it mean if an equation has no solution?

Back

It means that there are no values for the variable that can satisfy the equation.

Front

What is the solution to the equation ½ (2x + 6) = 3x + 13?

Back

x = -5.

Front

What is the importance of reversing the inequality symbol?

Back

The inequality symbol is reversed when multiplying or dividing both sides by a negative number.