These worksheets teach your students how to solve equations that contain inequalities using multiple steps.

#### When we are solving inequalities, it is generally done using one of three methods. The most common way to evaluate them is in the form of algebraic solutions. Most of these worksheets and lesson will use this method. They can also be solved via the number line method. This is where you assume f(x) is zero and you replace all x values with zero. The ordered pair you are left with is your solution. The last method is to solve graphically. We have an entire graphing inequalities worksheets section available for you.

Solving multi-step inequalities is similar to solving equations. In multi-stop equalities, you need to maintain the balance of the inequality. Solving multi-step inequality also requires understanding the addition, subtraction, multiplication, and division within the inequality rule. Solving this also requires strategy, just like solving equations, also applies to solve inequalities. By necessary mathematician within the inequality rule, you can rewrite the inequality so that the variable is on the one side, and everything else is on the other side. The solutions of the multi-step inequalities can be graphed on a number line. In the graph of inequality, you can also draw the open circle. But most of the time, solving inequalities involves solving inequalities using addition and solving inequalities using multiplication. These worksheets explain how to balance and solve equations that contain inequalities using multiple steps. Students will also be expected to convert word problems into expressions.

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## Multiple Step Inequalities Lesson

We can add, subtract, multiply or divide any number from an inequality on both of its sides. This will make no difference in the overall scheme of things.

## Lesson and Practice

Students will balance and solve equations that contain inequalities using multiple steps balance and solve equations that contain inequalities using multiple steps. A sample problem is solved and two practice problems are provided.

## Worksheet

If we multiply or divide the inequality by a negative number then the sign of the inequality is reversed. Example: > is changed to <, < is changed to >, ≥ is changed to ≤ , ≤ is changed to ≥

## Practice

Students will balance and solve equations that contain inequalities using multiple steps. Ten problems are provided.

## Topic Drill

Students will practice balancing these types of problems to solve all out for the variables that are present. Eight problems are provided.

## Warm Up

We use word problem to model this skill. An example exercise: Robert makes \$3.50 per hour working at a convenience store. If he gets a bonus of \$25 this week, how many hours must he work to make at least \$165?

## Two Step Inequalities Lesson

Two step inequalities can be solve in the same way as one step inequality. But to solve these we have to simplify the expression first and get the inequality in linear form.

## Lesson and Practice

Students will balance and solve equations that contain inequalities using two steps. A sample problem is solved and two practice problems are provided.

## Worksheet

Bring this down to the fundamental level of interest.

## Practice

Solve the inequalities. Graph the solution set on the number line.

## Two Step Drill

You will be balancing and solving inequalities using a two step method. Eight problems are provided.

## Number line Warm Up

You will solve and then you display the solution on a number line.