Linear Equations Word Problems Tables

Linear Equation Word Problems. Whenever you find one of these words, translate the word or phrase into +, -, x, / , or =. They define certain amount, I guess these are shift lengths, and then they say how many hours is a half a day, is a full day, is two days, is a week, is a month. Common Core State Standards: HSA-CED. Each person’s share was $6. ;] -- Linear equations reflect the behavior of real-life phenomena. Example 1 : If the numerator of a fraction is increased by 2 and the denominator by 1, it becomes 1. And, thanks to the Internet, it's easier than ever to follow in their footsteps (or just study for that next big test). If the numerator is increased by 1 and the denominator is increased by 3, the fraction becomes equal to. You happen to know that they drive slowly, so you get in your car and drive to catch up with them. Directions for solving word problems using quadratic equations. Math Graph Tables Starrgutters Co. Now we'll move on to some word problems that involve finding where two lines intersect—in other words, solving a system of equations. Or, put in other words, we will now start looking at story problems or word problems. 4: Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the. 2) Write your own story problem that could be solved by writing a function (or two). Provide lesson plans, worksheets, ExamView test banks, links to helpful math websites for high school math courses. Kt problem solving analysis how does online classes work for college, assignments for students who misbehave interior design business plan objectives what you need for a business plan writing in an essay format critical thinking detective book 1 dissertation proposal writing services pay someone to write my college paper problem solve. Word Problems Leading to Equations. Suppose that the water level of a river is 34 feet and that it is receding at a rate of 0. Using the revised version of the first equation, we get y = 232 - 22 (10) = 12. To start practising, just click on any link. Now, to write down a linear equation in one of these forms, keep a few things in mind. Systems of Linear Equations: Applications and Problem Solving. 1 Lesson linear model, p. A) What equation represents the rate of this company? B) Graph the equation that represents the rate of this cab company?. Find the intersection (if any) of the graphs and interpret the solution. In fact, it can be used anywhere where a relationship is defined for some unknown value and our aim is evaluate those parameters we can make use of it. Systems of Equations Game If you want to solve systems of equations and score tones of points, we have the perfect game for you. If the team played a total of 154 games and there were no ties, how many games did the team win. Write linear equations Name _____________________ Tables and Word problems 4. The degree of any equation is the highest exponent that appears on the unknown number. This calculator will solve the linear, quadratic, polynomial, rational and absolute value inequalities. These Algebra 1 Equations Worksheets will produce distance, rate, and time word problems with ten problems per worksheet. LaTeX math. Algebra has no applications in the real world. Word Problem #1: At the car rental company, you must play a flat rate of $130 and then a daily fee of $17 per day. org are unblocked. Identifying and explaining the correlation coefficient (r). Consider linear, quadratic, exponential, power, and quartic models. Suppose that the water level of a river is 34 feet and that it is receding at a rate of 0. There are two steps to solving math word problems: Translate the wording into a numeric equation that combines smaller "expressions" Solve the equation! Suggestions: Read the problem entirely Get a feel for the whole problem; List information and the variables you identify. 6, Determine Whether a Function is Linear (page 9)] b. Harris is tacking the progress of her plant's growth. themadhatter1. The number of things will go in the first column. Composition of Functions Word Problems; Note that Using Systems to Solve Algebra Word Problems can be found here in the Systems of Linear Equations and Word Problems section. Linear programming is basically a fancy term for a constrained optimization problem consisting of linear constraints and a linear objective function. Solving Word Problems Using Systems Of Linear Equations Algebra 1 Homework Answers Improve your skills with free problems in 'Solve a system of equations using elimination: word problems' and thousands of other practice lessons. On the edge of the table is a scratch 8" from one wall and 9" from the other wall. Seven inches are equivalent to 17. If y is pollution and t is time elapsed after 6 am, determine: 1. Algebra Examples. 2 Slope of a Line. try to make sure to always do the following: 2. Plot the points and graph the line. x y 4 9 6 10 8 11 2. Below each is a link to a sample worksheet for each standard we cover. If you're behind a web filter, please make sure that the domains *. Finding Equations for Best Fit Lines. Write a system of linear equations. The word 'algebra' comes to us from the title of Al-Khwarzmi's book. 5 – Linear Equations and Rate of Change 28 November 2007 — Bill Towne I began the lesson going over “real world meanings” of the slope and y-intercept of linear equations using the equations in the box on page 187 which I had on the overhead as slides since they’ve had difficulty with these for days. The pre-algebra worksheets provide simple number sentences in the form of equations with missing values, and the students fill in the answer. 164 Previous slope-intercept form function rate Core VocabularyCore Vocabulary WWhat You Will Learnhat You Will Learn Write equations in slope-intercept form. Solution : Let the ratio = x. best abstract algebra textbook solving equations graphically worksheet two types of algebra 1st Grade Math Homework. Learn vocabulary, terms, and more with flashcards, games, and other study tools. In this word problem, we formulate a set of constraints and an objective function, graph the feasible region, identify corner points, and finally plug those points into the objective to find the maximum profit. Modeling (application) problems. Graphing Linear Equations - Tables. (4) Graph Linear Functions from Equations Lesson: the teacher will model how to graph the equation of a line using a shortcut & not from function tables. After completing the unit, students will be comfortable moving between word problems, graphs, tables, and equations, and be able to identify the components of linear. Linear Equations in One Variable Students solve one- and two-step linear equations and simple algebraic proportions as they work toward winning $1,000,000. To start practising, just click on any link. The value of y depends on the value of x. In addition, we will learn how to plot graphs and determine their equations when we are given the table of values of linear relations. Unit 5: Analyze, Solve, and Graph Linear Inequalities Instructor Notes The Mathematics of Linear Inequalities This unit introduces inequalities. In addition to using a table, equations can be graphed using the equations themselves Remember that Y=M(X)+B tells us the slope and the Y intercept. In "real life", these problems can be incredibly complex. For example, given coordinates for two pairs of points, determine whether the line through the first pair of points intersects the line through the second pair. Katie Tatum 125,718 views. 1305, New York University, Stern School of Business Fictitious example, n = 10. Linear Equations GOLF Activities Given a point (golf ball) and target (golf cup), students determine the slope-intercept equation that will hit the ball into the target. Linear Table Gontex Com Co. The point of intersection determines whether the system of linear equations has no solution, one solution, or infinitely many solutions. An Internet search on "quadratic equations and word problems," "quadratic equations and applications," "quadratic equations and sports," etc. Then, write the function formula. Solve a Simultaneous Set of Two Linear Equations This page will show you how to solve two equations with two unknowns. On the PSAT Math Test, another way linear equations can be made to look complicated is for them to be disguised in “real-world” word problems, where it’s up to you to extract and solve an equation. A circular table is pushed into the corner of a room so that it touches both walls. Distance word problems are a common type of algebra word problems. Example 1: Answer the following questions from this scenario:. In order to solve word problems you need to translate language statements into mathematical statements. What are the three different types of systems of linear equations in two variables? 4. The game is similar in nature to "Who Wants to Be a Millionaire". 1 Solving Word Problems Using Systems of Equations Overview Number of instructional days: 10 (1 day = 45–60 minutes) Content to be learned Mathematical practices to be integrated • Connect real-world problem scenarios to a linear mathematical representation. step 4: Change the given equation in slope intercept form. In this section, I'll discuss word problems which give linear equations to solve. If you're messy, you'll often make extra work for yourself, and you'll frequently get the wrong answer. Now we'll move on to some word problems that involve finding where two lines intersect—in other words, solving a system of equations. Word Problems on Linear Equations. There is a simple trick behind solving word problems using linear equations. Applications of Linear Equations We often see math applied to the real world through word problems, and the applications of linear equations are seen throughout all our math courses after Algebra. Students learn to write the equation of a line in slope-intercept form using a table of ordered pairs. Below each is a link to a sample worksheet for each standard we cover. Systems of Linear Equations Word Problems: Systemof linear equations (determinants)- tricky. Set up a table for the chocolates with different costs. 4 we had to solve two simultaneous linear equations in order to find the break-even pointand the equilibrium point. As we work through these problems. Function Tables Worksheets Writing Linear Equations From. Write an equation in slope-intercept form that models this situation. We tried to explain the trick of solving word problems for equations with two variables with an example. Functions and equations Here is a list of all of the skills that cover functions and equations! These skills are organized by grade, and you can move your mouse over any skill name to preview the skill. x y 4 9 6 10 8 11 2. This means that the numbers that work for both equations is 4 pairs of jeans and 2 dresses! We can see the two graphs intercept at the point. Algebraic linear equations are mathematical functions that, when graphed on a Cartesian coordinate plane, produce x and y values in the pattern of a straight line. There are two linear formats for math that Word supports:. Some students will only be able to get the equation and graphs matching section. Systems of Linear Equations: Applications and Problem Solving. There is a common difference. Writing Linear Equations From Tables Worksheet. The first time it was 6 cm long and after one month it was 2 cm longer. In order to setup the equations for this optimization problem we can draw upon the experience of the measurement word problem and its accompanying animation. Identifying and explaining the correlation coefficient (r). Solve calculus and algebra problems online with Cymath math problem solver with steps to show your work. The table compares Manco's depth (in meters) and Math Help Forum. By the way, the comments have some wonderful ideas for solving these mentally, without using algebra. Slope Word Problems 1. Sections: Optimizing linear systems, Setting up word problems A calculator company produces a scientific calculator and a graphing calculator. Put Problem 1 and ANSWER Problem 12 back-to-back in the same plastic page protector; put Problem 2 and ANSWER Problem 1 back-to-back in another plastic page protector, Problem 3 and ANSWER Problem 2 together, etc. Function Tables Worksheets Writing Linear Equations From. If x represents the number of miles driven by the taxi, which linear equation can be used to solve this problem, and how many miles did Isaac travel, rounded to the nearest tenth?. notebook December 10, 2015 Warm­up 12/10/15 Find the slope from the table x y ­6 14 ­8 17 ­10 20 ­12 23 1) Ella wants to buy a new Coach purse. That line is the solution of the equation and its visual representation. Systems of Linear Equations Word Problems: Systemof linear equations (determinants)- tricky. 46 to go from one city to another. The value of y depends on the value of x. Find an Equation of the Rational Function given its Table of Values - Notes Graphs of Rational Functions: with a Hole, with a Slant Asymptote, Special Cases Solving Rational Inequalities using a Table - Notes. Use for fast finishers, homework assignments, or for something different in your classroom. Students answer questions and fill in tables according to the function. Linear Function Word Problems - Independent Practice Worksheet Complete all the problems. The response received a rating of "5/5" from the student who originally posted the question. Looking for a book that will help you sharpen your basic algebra skills? With algebra skills, most topics are illustrated with algebra tiles as you learn skills that will help you to be successful in algebra. Engaging math & science practice! Improve your skills with free problems in 'Graphing Linear Equations by Making a Table of Values Given Standard Form' and thousands of other practice lessons. themadhatter1. LESSON 33: Graphing Linear Equations part 2 Lesson Summary: For the warm-up, students solve a problem about taxi rates. 5 hours, and t Log On. The pollution level at 4 o'clock in the afternoon. Use linear graphs in an applied context. State which model, linear or quadratic, best fits the data. As we work through these problems. Practice evaluating tables of numbers to determine if they can be represented as linear equations. Julia has been measuring the length of her baby’s hair. In order to solve for the unknown variable, you must isolate the variable. Calculus, being the study of quantities that change, provides the language and the mathematical tools to discuss and understand change in a precise, quantitative way. Selina Concise Mathematics Class 7 ICSE Solutions Chapter 12 Simple Linear Equations (Including Word Problems) Selina Publishers Concise Maths Class 7 ICSE Solutions Chapter 12 Simple Linear Equations (Including Word Problems) ICSE SolutionsSelina ICSE SolutionsML Aggarwal Solutions APlusTopper. Equations One-step equations containing integers One-step equations containing decimals One-step equations containing fractions One-step equation word problems Two-step equations containing integers Two-step equations containing decimals Two-step equation word problems Multi-step equations. Circle either linear or exponential. In this systems of equations learning exercise, students solve systems of equations, systems of inequalities, and linear equations. Systems of equations can be solved by graphing, substitution, or eliminating a variable. Remember that we are in the chapter dealing with linear equations. learn how to use linear equations to identify and create parallel and perpendicular lines. A slow, calm review of a word problem will allow you to. Oh no, the dreaded word problem!Don't worry; they really aren't as scary as many seem to think. Then you can be expected that the equations have one solution. Showing top 8 worksheets in the category - Linear Equations Word Problems. These Equations Worksheets are a good resource for students in the 5th Grade through the 8th Grade. From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. Algebraic Word Problems. Linear Systems: Using Graphs & Tables Teacher Notes Objectives To illustrate how to locate the real number solution of a system of linear equations (two equations and two variables) using tables. In this method, we graph the given equations on the coordinate plane and look for the points of intersection. Linear programming is basically a fancy term for a constrained optimization problem consisting of linear constraints and a linear objective function. Systems of Equations Game If you want to solve systems of equations and score tones of points, we have the perfect game for you. Identify functions and state their domain and range. This process is called "Linear Programming" and is one of the most powerful mathematical methods used by businesses and companies to solve problems and help them make the best decisions. Examples on solving Linear Inequalities word problems Write an inequality for each of the following. The numbers section has a percentages command for explaining the most common types of percentage problems and a section for dealing with scientific notation. 489 common core solutions in canada, we provide complete coverage. The root word of linear is “line. Using the clues given in the problem we. To graph a linear equation, you could make a table of values to plot, but first you'll need to know how to make the table. com Algebra Word Problems Worksheet from…. Kt problem solving analysis how does online classes work for college, assignments for students who misbehave interior design business plan objectives what you need for a business plan writing in an essay format critical thinking detective book 1 dissertation proposal writing services pay someone to write my college paper problem solve. LESSON 33: Graphing Linear Equations part 2 Lesson Summary: For the warm-up, students solve a problem about taxi rates. The solution is detailed and well presented. Choose a specific addition topic below to view all of our worksheets in that content area. System of Equations word problem I can't figure out! Then the correct system of linear equations is as follows: x + 2y + 3z = 40 The solution is as follows:. This lesson is the beginning of formal equation-solving methods. 95 per mile. Writing linear equations from word problems worksheet - Solution. Students must evaluate their own understanding, due to the requirement of designing five original systems-of-linear-equations word problems and solutions keys. Linear Motion. In the process of solving a word problem it is often useful to make a chart of a few specific instances of the independent and dependent variables. Algebra Word Problems with Systems. best abstract algebra textbook solving equations graphically worksheet two types of algebra 1st Grade Math Homework. Engaging math & science practice! Improve your skills with free problems in 'Solving Word Problems Involving Graphing Linear Equations' and thousands of other practice lessons. Solution : Let the ratio = x. Writing Linear Equations from 2 Points d. linear equation in two variables is an equation which is of the form ax + by + c = 0. Translation Tips for Word Problems. Word Problems Writing Equations p. Six buses were filled and 7 students traveled in cars. Word Problems On Linear Functions Peacer Org. Some of the worksheets displayed are Systems of equations word problems, Linear equations, Packet, Model practice challenge problems vi, Slope intercept form word problems, Two step word problems, Linear equations work, Practice solving systems of equations 3 different. 5, Manipulating Between the Forms - Warm Up] 3) Linear functions. d 7 TAhlWlt przirg7hitasD eriehsMeGrwvfe Ld5. Linear Equations Word Problems: Tables. You are just a click away from a huge collection of worksheets on graphing linear equations. The word problem may be phrased in such a way that we can easily find a linear function using the slope-intercept form of the equation for a line. SIMPLE LINEAR REGRESSION Documents prepared for use in course B01. The number of things will go in the first column. That students see a need for a formal approach, involving variables/unknowns, to solving problems. Some students will only be able to get the equation and graphs matching section. In real life, the applications of linear equations are vast. Make sure you answer the question. Solution : Let the ratio = x. Jacob is six years older than John. Write linear equations Name _____ Tables and Word problems 4. You want to use the given information to decide which form will be the easiest to use to write the equation. Find the linear equation of a line using the point-slope form, slope-intercept form, two-point form, two-intercept form, etc. In given word problems, students learn to create a table of ordered pairs for the relationship between the variables involved, and write a rule for the function that relates the two variables. An equation is linear if the power of x is either 1 or 0 and it appears in the numerator. Write an equation in slope-intercept form that models this situation. This step of introducing equations without variables can be a gentle first step into the world of finding missing values using algebraic manipulations. Page 3 This shows the arithmetic for fitting a simple linear regression. On the inside of the booklet, we solved the same problem using both methods. quadratic functions word problems worksheet pdf Quadratic Functions and Inequalities Properties of parabolas Vertex form. A table is linear if the rate of change is constant. Includes graphs to analyze and charts to complete as part of the analysis of the. Now that we have learned three different methods for solving systems of equations, we can apply these methods to solving real-life situations described in word problems. Interactive Equation. What does the mean in the equation for […] Skip to content. The Persian word is al-jabr and means something like 'reunite' or 'gather back together'. , graph 2x + 6y = 4). 7th & 8th grade math - comparing linear functions. Let's once again recall the methods of solving linear equations in one variable. This will actually make the problems easier! Again, when doing these word problems:. Identifying and explaining the correlation coefficient (r). If y is pollution and t is time elapsed after 6 am, determine: 1. Then, this linear equations calculator will help you check your answers. Linear Function Word Problems - Independent Practice Worksheet Complete all the problems. By substituting ten for x in one of the equations, we can solve for y. Equations, Linear Equations Contains applets that model and generate problems that prompt the student to model verbal expressions algebraically and solve word problems that give rise to the authoring and solving of a linear equation. Homework: 1) Complete the Functions Story Problem Worksheet and Linear Function Word Problems if not finished in class. To start practicing, just click on any link. Writing a Linear Equation from a Point and Slope f. The work of Kushman et al. Isaac was charged $27. Y = mx + b Word Problems 1. There is a common difference. The other answer was 2. Equation Vocabulary Reporting Category Patterns, Functions, and Algebra Topic Solving one-step linear equations in one variable Primary SOL 6. Identifying and explaining the correlation coefficient (r). PRACTICE 1. The following translation tables help convert word problems into Algebra Expressions. com Linear Equations Word Problems Worksheet With Answers Worksheets for from Two Step Equations Word Problems Worksheet , source: bonlacfoods. • Student Worksheet 1: Linear Equations in Real World Problems, two pages, guided questions for students to complete. CAUTION: Giving students all 18 graphs, tables, and equations at one time will just overwhelm them. Solving Multi-Step Linear Equations e. We will also explore the concepts of interpolating and extrapolating data from graphs of linear equations. Start by browsing the selection below to get word problems, projects, and more. Page 3 This shows the arithmetic for fitting a simple linear regression. Analyze and solve linear equations and pairs of simultaneous linear. Practice evaluating tables of numbers to determine if they can be represented as linear equations. This math lesson is designed to provide middle school teachers with free resources for teaching linear equations. Use the graph to write an equation in slope-intercept form to represent the amount a family with x additional children would pay. Linear Function Word Problems Tables MahonMath. In 7th grade students used tables, graphs, and equations to calculate and compare unit rates. Fun maths practice! Improve your skills with free problems in 'Solve linear equations: word problems' and thousands of other practice lessons. Its equation will always be: WRITING LINEAR EQUATIONS FROM WORD PROBLEMS. In the process of solving a word problem it is often useful to make a chart of a few specific instances of the independent and dependent variables. Predict the number of aids cases for the year 2006. The best method to use depends on the forms of the given equations and how precise the solution should be. It is a method of solving linear system of equations. Step 3: Identify the variable (how much each block changes in your table of values) Step 4 : Write the constant as a plain number, and "attach" the proper variable to the "changing value" 1. notebook December 10, 2015 Warm­up 12/10/15 Find the slope from the table x y ­6 14 ­8 17 ­10 20 ­12 23 1) Ella wants to buy a new Coach purse. Employees use one of two methods to refinish each table. Free worksheet(pdf) and answer key on the solving word problems based on linear equations and real world linear models. The possibilities for the solution set of a homogeneous system is either a unique solution or infinitely many solutions. If y is pollution and t is time elapsed after 6 am, determine: 1. Detailed Description for All Function Table Worksheets In and Out Boxes Worksheets. Solving Word Questions. Each person’s share was $6. Write linear equations Name _____ Tables and Word problems 4. How many tables and chairs should we produce to maximize revenue?. Algebra Here is a list of all of the skills that cover algebra! These skills are organised by grade, and you can move your mouse over any skill name to preview the skill. These Equations Worksheets are a good resource for students in the 5th Grade through the 8th Grade. These are often called train problems because one of the most famous types of distance problems involves finding out when two trains heading toward each. And then they tell us how much money do we make. Summary of simple regression arithmetic page 4 This document shows the formulas for simple linear regression, including. Graphing Linear Equations - Tables. You are helping to plan an awards banquet for your school, and you need to rent tables to seat 180 people. It involves vocabulary words that people use when solving equations. Let's do more word problems; you'll notice that many of these are the same type that we did earlier in the Algebra Word Problems section, but now we can use more than one variable. You ability to correctly identify the variables and translate the word problem into an equation determines your ability to solve the problem. Take a look at this tutorial! You'll see how to set up a table, choose appropriate x-values, plug those values into the equation, and simplify to get the respective y-values. Meaning of slope: a rate or a speed. Unicode math. QSC276: Write a linear equation or inequality to represent a given number or word problem; solve. Model and solve equations using algebra tiles Y. System of linear equations solver This system of linear equations solver will help you solve any system of the form:. Here is a set of practice problems to accompany the Linear Equations section of the Solving Equations and Inequalities chapter of the notes for Paul Dawkins Algebra course at Lamar University. (This worksheet. 90 for each topping. Remember that the main problem with word problems is that they are not expressed in regular math equations. Jacob is six years older than John. Taught by: Cecilio Dimas , Ida Price Middle School, Cambrian School District, San José, California. Write an equation for the water level, L, after d days. Tables and Graphs lead to exact or approximate solutions. Graphing Inequalities [10/16/1998]. Linear Functions Use a table of values to graph linear equations Determine when lines are parallel or perpendicular. Solving systems of equations word problems worksheet For all problems, define variables, write the system of equations and solve for all variables. So, if you are given two or more points through which your line passes, draw a graph first. Linear equations for microeconomics: Algebra: Mar 30, 2019: Linear equations and graphing on a rectangular coordinate system: Algebra: Feb 17, 2019: Linear equations word problems: tables: Algebra: Nov 2, 2018 [Alt. The value of y depends on the value of x. Math Equations For 3rd Graders Easy Two Step Word Problems Digit Multiplication Basic Test Times Table Worksheet Counting Kindergarten The Numbers Parallelogram Rule Vectors Preposition. To illustrate how to locate the real number solution of a s ystem of linear equations (two equations and two variables) using graphs. Interactive Equation. This lesson is the beginning of formal equation-solving methods. Algebra Word Problems with Systems. Consecutive Integers: , + 1, + 2, Find four consecutive even integers such that the sum of the second and fourth integers is one and a half times the sum of the first and third integers. Write Linear Equations From Tables, Points & Graphs Review Problem Pass Activity. Algebra 1 _. Equations can help us quickly see the relationship between the variables. Linear Equation Solver - a pop-up window allows users to specify the number of equations. Turning a complicated problem into an equation enables us to understand and solve difficult problems. A circular table is pushed into the corner of a room so that it touches both walls. Linear Inequalities. Remember that inputs are the variables that we put into the function. Today we will do this using straight lines as our equations, and we. Solving Systems of Linear Equations by Graphing. Lesson: Systems of Linear Equations by Method of Graphing (Word Problems) 1. (I) write an equation in the form numerical, tabular, and graphical y = mx = b to model a linear relationship between two quantities using verbal, representations. Solving Functions; Function Table Word Problem Fun This is a function review based on word problems. This is because y is dependent on what you plug-in for x. The most appropriate form for this is the slope-intercept form, since it is the easiest one to get the information about intercept values from. Finding and Completing Patterns (from Word Problems) (Random) Unit 1: Relationships between Quantities and Reasoning with Equations A. Examples on Algebra Word Problems. Solving for (x,y) in table; Graphing linear equations with ordered pairs (x,y) Plotting points for a linear equation using a table of values; Slope on the X and Y plane; Using the slope formula; Slope-Intercept form of. What are the three different types of systems of linear equations in two variables? 4. There are two linear formats for math that Word supports:. Now we'll move on to some word problems that involve finding where two lines intersect—in other words, solving a system of equations. To illustrate how to locate the real number solution of a s ystem of linear equations (two equations and two variables) using graphs. As we work through these problems. Use for fast finishers, homework assignments, or for something different in your classroom. Equations One-step equations Two-step equations Multi-step equations Absolute value equations Radical equations (easy, hard) Rational equations (easy, hard) Solving proportions Percent problems Distance-rate-time word problems Mixture word problems Work word problems Literal Equations.