

Solve Multi-Step Word Problems (Inequalities)
Suggested learning targets.
- I can solve simple inequalities.
- I can solve two step linear inequalities of the form px+ q > r and px+q < r, where p, q, and r are specific rational numbers.
- I can solve word problems (two-step linear inequality problems) with rational coefficients (ex, px +q = r).
- I can graph the solution sets of inequalities.
- I can interpret the solution sets of the inequality.
Solve Inequalities with Multiplication and Division
Solve 2-Step Inequalities
Inequality Word Problems

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Multiple-Step Word Problems
These multiple-step word problems require students to use reasoning and critical thinking skills to determine how each problem can be solved.

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Inequalities Worksheets
Teeming with adequate practice our printable inequalities worksheets come with a host of learning takeaways like completing inequality statements, graphing inequalities on a number line, constructing inequality statements from the graph, solving different types of inequalities, graphing the solutions using appropriate rules and much more for students in grade 6 through high school. Solutions to inequalities are infinite and are presented as an interval. Kick-start practice with our free inequalities worksheets!
» Translating Inequality Phrases
» Compound Inequalities
» One Step Inequalities
» Graphing Linear Inequalities
» Two Step Inequalities
» Absolute Value Inequalities
» Multi Step Inequalities
» Quadratic Inequalities

Completing Inequality Statements
Tackle this batch of printable inequalities worksheets by plugging each of the four options in the inequality statement. Grade 6 students circle all the possible values that make the inequality statement true.

Graphing Inequalities on a Number Line
Graph the inequality on a number line by drawing a circle over the number. Fill it if the inequality has a ≥ or ≤, leave it unfilled if it has a > or <. Draw a line toward the right, if the solutions are greater than the number and toward the left if they are less.

Writing Inequalities from Number Lines
Study the graph, and construct the inequality that best describes it. Grade 7 students look for open and closed circles, watch for the direction of the line and build an inclusive or strict greater than or less than inequality in no time.

Identifying the Solution Graph
If buffing up skills in solving and graphing inequalities is on your mind, then these printable inequalities worksheets should be your obvious choice. Students choose the graph that best describes the solution for each single variable inequality.

Identifying Inequalities from Number Lines
Observe the graph in these pdfs keenly and construct an inclusive inequality with a closed circle or a strict one with an open circle. Students in 7th grade and 8th grade use < if the line extends toward the right and > for a line stretching toward the left.

Identifying Solutions in Interval Notations
Draw logical conclusions, whether the interval with a bracket or parentheses is the right solution to the inequality. The task in these pdfs for grade 8 and high school students is to choose the correct interval notation that best describes each inequality.

Translating Inequality Phrases Worksheets
Primarily focusing on reading phrases and converting them into algebraic inequalities, these printable worksheets are sure to give students an insight into comprehending inequalities and their real-life connection.
(12 Worksheets)

One Step Inequalities Worksheets
Are you looking for a variety of exercises to introduce or recapitulate one-step inequalities? Then be assured you are in the right place. With a host of pdfs for your 6th grade students to choose from, there'll be no dearth of practice material.
(51 Worksheets)

Two Step Inequalities Worksheets
Refine your skills in solving and graphing inequalities in two simple steps. Grade 7 students separate the like terms on either side of the inequality. Use inverse operations to isolate the variable and solving the inequality will be duck soup.

Multi Step Inequalities Worksheets
Work methodically toward solving and graphing the multi-step inequalities. With the adequate practice provided in these worksheets finding solutions to multi-step inequalities will no longer be a hard nut to crack for your students in grade 8.
(45 Worksheets)

Compound Inequalities Worksheets
Whether you are looking for inequalities that are joined together by the conjunction "and" or "or", these worksheets on inequalities beef up practice and prepare high school students in solving and graphing such inequalities.

Graphing Linear Inequalities Worksheets
Visualize the inequality on a graph, analyze the properties of the line, observe the graph and figure out the inequality, sketch the inequality graph are some exercises present here to challenge your high school students.
(24 Worksheets)

Absolute Value Inequalities Worksheets
What happens when two important concepts absolute value and inequalities merge? They create an interesting topic absolute value inequalities. Surge ahead in solving the absolute value inequalities featured in our printable inequalities worksheets.

Quadratic Inequalities Worksheets
Inequalities involving the second degree taking precedence in these pdfs. Solve the quadratic inequalities, find the intervals that make the inequality true, graph the inequality by sketching the parabola are some exercises included here.
(18 Worksheets)
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Multi step inequalities worksheets
Free collection of printable multi-step inequalities worksheets for students.
Inequalities that require more than one step to solve are known as multi-step inequalities . In order to solve these kinds of problems, you must adopt a step-by-step approach . Although there isn’t a general method to solve them, there are certain broad rules you can adhere to. The first step is to ensure that only x terms are left on the left side of the equation. In order to remove any additional numerical terms from the left side of the equation, add the negative of each term to both sides of the equation. Be aware that when all the terms in an inequality equation need to have their signs changed, the inequality’s sign likewise changes. If you are struggling with problems concerning Multi-Step inequalities , we have prepared numerous amazing Multi-Step inequalities worksheets ( solving compound inequalities worksheets ) for extra practice. These Algebra worksheets will give students a chance to practice a variety of problems and activities to help them dive deeper into the topic. Try these multi-Step inequalities worksheets if you’re seeking a means to reteach and offer extra help when it comes to this topic. We’re sure that it would be an excellent reinforcement activity.
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Multi Step Inequalities Worksheets
Multi-Step Inequalities Worksheets explains how to graph an inequality on the xy-plane. Graphing an inequality in 2 dimensional space (a graph with 2 variables) is similar to graphing an inequality on the number line. Both involve treating the inequality as an equation, solving the equation, and testing points. In the 2 variable case, however, the solution to the equation is a line, not a single point. It is this line that divides the xy-graph into two regions: one that satisfies the inequality, and one that does not.
Benefits of Multi-Step Inequalities Worksheets
Inequality also deals with systems of inequalities. Unlike systems of equations, systems of inequalities generally do not have a single solution; rather, systems of inequalities describe an entire region. Thus, it makes sense to find this region by graphing the inequalities. This section explains how to solve systems of inequalities.
Download Multi-Step Inequalities Worksheet PDFs
These math worksheets should be practiced regularly and are free to download in PDF formats.
☛ Check Grade wise Multi-Step Inequalities Worksheets
- 7th Grade Inequalities Worksheets

Two-step inequality Worksheet

Inequality is an important topic in mathematics. A mathematical inequality represents the relationship between two expressions based on the inequality symbol. It represents the comparative size of two given values with respect to each other. The inequality symbols are:
- Not equal to (≠)
- Less than (<)
- Greater than (>)
- Less than equal to (≤) and
- Greater than equal to (≥)
Example: To show 6 is unequal to 2, it can be shown as 6 ≠ 2.
Example to Solve the Two-Step Inequality Problem
Let’s consider the given example to learn how to solve a 2-step inequality problem.
Step 1: Add or subtract the constants given on both sides of the inequality. In the inequality given in the example, 5 will be subtracted from 11 when it moves from L.H.S to R.H.S.
- 3a < 11 - 5
Step 2: Divide or multiply the other side of the inequality using the coefficient of variable.
Why Should You Use a Two-Step Inequalities Worksheet for Your Students?
Solving 2-step inequalities problems using a step-by-step method would help your students grasp the concept better.
- Two-step inequalities worksheets will help students to visualize the math problems with integers and rational numbers.
- The students will see operations in action, as they will follow step-by-step methods of addition, subtraction, multiplication, or division.
- This will help them check their mathematical concepts like number systems or inverse operations.
- They will also learn to graph the solution set on a number line.
Download Two-step Inequalities Worksheet PDFs
You can download and print these super fun worksheets from here for your students. You can also try our Two-Step Inequality (Word Problems) Problems and Two-Step Equation Word Problems Quiz as well for a better understanding of the concepts.
Solving 2-step inequalities prob...
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Inequalities word problems worksheets helps kids to improve their speed, accuracy, logical and reasoning skills in performing simple calculations related to the topic of inequalities. Inequalities word problems worksheets are also helpful for students to prepare for various competitive exams.
*Click on Open button to open and print to worksheet. 1. Multi-Step Inequalities Date Period 2. Solving Multi-Step Inequalities Date Period 3. Inequalities Word Problem Worksheet 4. Multi-Step Inequalities 5. Lesson 6.2.6 Multi-Step Inequalities with Distributive Property 6. Inequality Word Problems 7.
Solving Inequalities Using Addition and Subtraction Examples: Solve and graph the solutions. 1. t + 3 < 10 2. x - 2.2 ≥ 6.8 3. 5 > 7 + V Show Step-by-step Solutions Solve Inequalities with Multiplication and Division When you multiply or divide by a negative, the inequality symbol must flip Show Step-by-step Solutions
This worksheet is a great way for students to practice analyzing word problems, choosing the correct inequality symbol based on key terms, constructing a multi-step inequality, and solving it. Subjects: Algebra, Math, Word Problems Grades: 6th - 8th Types: Homework, Worksheets Add to cart Wish List
Browse Printable Two-Step Inequality Worksheets. Award winning educational materials designed to help kids succeed. ... Two-Step Inequality Word Problems. Worksheet. ... Give students more practice solving two-step inequalities and graphing the solution set on a number line with this seventh-grade math worksheet! 7th grade. Math.
Multiple Step, Basic #1 FREE Solve each of the multi-step word problems on this page. Problems contain basic numbers of 20 or less. Each problem can be solved without knowledge of multiplication or division. 2nd and 3rd Grades View PDF Multiple Step, Basic #2 These multi-step questions can be calculated using only addition and subtraction.
Worksheet by Kuta Software LLC-3-Answers to Inequalities Word Problem Worksheet 1) No more than 12 weeks2) No more than 12.7 miles3) No more than 5 DVDs 4) At least 12 more sessions5) At least 950 bags of dog food. 6) More than 12.5 weeks. 7) At least 15 times 8) No solution. : 1012141618 9) n > -5: -6-4-202 10) x £ -1: -4-20246 11) No solution.
©u f2m0 P1e2B xKouWtza2 YSBo7fut BwJa ErJe z OLQL BCO.N t HA DlPlY GrWigohqt8sr HrLeis pewr Rv9eFd C.c N uMZaVdweN HwliWtlhQ iI GnhfLiMnEiQtZe A yPprje 3-nA 5lMgge Qbtr paD. 3 Worksheet by Kuta Software LLC Kuta Software - Infinite Pre-Algebra Name_____ Solving Multi-Step Inequalities Date_____ Period____
A. Write an inequality that represents Kevin's situation. B. How many downloads can Kevin purchase? Justify your answer. C. Graph the solution on a number line. 4. Triniti had $500 in a saving account at the beginning of the summer. She wants to have at least $200 in the account by the end of the summer. She withdraws $25 each week for food,
Multi-Step Equation Word Problems: Integers Read each multi-step word problem in these high school pdf worksheets and set up the equation. Solve and find the value of the unknown. More than two steps are required to solve the problems. Multi-step equation Word Problems: Fractions and Decimals
Multi Step Inequalities Worksheets Work methodically toward solving and graphing the multi-step inequalities. With the adequate practice provided in these worksheets finding solutions to multi-step inequalities will no longer be a hard nut to crack for your students in grade 8. (45 Worksheets) Compound Inequalities Worksheets
These Algebra worksheets will give students a chance to practice a variety of problems and activities to help them dive deeper into the topic. Try these multi-Step inequalities worksheets if you're seeking a means to reteach and offer extra help when it comes to this topic. We're sure that it would be an excellent reinforcement activity.
Solve each inequality and graph its solution. 1) ... Multi-Step Inequalities Date_____ Period____ Solve each inequality and graph its solution. ... Create your own worksheets like this one with Infinite Algebra 1. Free trial available at KutaSoftware.com. Title: Multi-Step Inequalities.ks-ia1 Author: Mike
Two-step inequality word problems CCSS.Math: 7.EE.B.4, 7.EE.B.4b Google Classroom You might need: Calculator Katie wants to collect over 100 100 seashells. She already has 34 34 seashells in her collection. Each day, she finds 12 12 more seashells on the beach. Katie can use fractions of days to find seashells.
Grade 5 word problems worksheets. Mixed 4 operations (addition, subtraction, multiplication, division) Estimating and rounding word problems (based on the 4 operations) Add and subtract fractions and mixed numbers (like and unlike denominators) Multiplying and dividing fractions. Mixed operations with fractions (add, subtract, multiply, divide)
Four easy steps that are discussed below can be used to solve two-step inequality word problems easily. Step 1: Interpret the word problem properly and form an inequality out of it. Step 2: Get the variable on one side of the inequality by either adding or subtracting the constant. Step 3: Either divide or multiply so that the coefficient on ...
Free Printable Math Worksheets for Pre-Algebra Created with Infinite Pre-Algebra. ... One-step equation word problems; Two-step equations containing integers; Two-step equations containing decimals ... Two-step inequalities; Multi-step inequalities; Exponents and Radicals ...
Multi Step Inequalities Worksheets. Multi-Step Inequalities Worksheets explains how to graph an inequality on the xy-plane. Graphing an inequality in 2 dimensional space (a graph with 2 variables) is similar to graphing an inequality on the number line. Both involve treating the inequality as an equation, solving the equation, and testing points.
Step 1: Add or subtract the constants given on both sides of the inequality. In the inequality given in the example, 5 will be subtracted from 11 when it moves from L.H.S to R.H.S. 3a < 11 - 5 3a < 6 Step 2: Divide or multiply the other side of the inequality using the coefficient of variable. a < 6/3 a < 3