Writing Inequalities Worksheet Pdf

Write and Graph Linear Inequalities Worksheet Level 4: Goals: Write a linear inequality from a word problem Graph a linear inequality in two variables Practice #1 Each country is being asked to donate food packages and medicine packages. 15 less than a number squared 5. Use a graphing calculator to determine whether the data best fits a linear model, a quadratic model, or a cubic model. 4 Write Equations and Inequalities Read each problem carefully. Write the common factors of 30 and 40 (the numbers that are factors of 30 and 40). This is the worksheet given to Blocks 1 & 3 to practice solving one-step inequalities with decimals and fractions. Be sure to define your variable. Jason is buying wings and hot dogs for a party. Printable Worksheets from sofatutor. The Quadratic Equation Worksheet Maker will generate a printable worksheet of problems and an answer key. Lesson 6 Inequalities 23 Main Idea Find solutions of inequalities by using mental math and the guess, check, and revise strategy. For each one-step word problem, write a one-step algebraic equation using the given variable. An innovative way of teaching math. Solving Inequalities Worksheet About This Worksheet: Make sure that students understand the difference between an inequality and an equation before you start these, it helps a great deal. See below how you can print this worksheet. Graphing Linear Systems Worksheet, Relations And Functions, Solve Systems Of Linear Equations By Graphing Standard A, Stage Graph A Linear Equation In Slope Intercept Form A Algebra Worksheet Math Slope Roc, Solving Systems Of Linear Quadratic Equations By Graphing Practice Worksheet, Algebra 1 Worksheets Systems Of Equations And Inequalities Worksheets, 7 1 Systems Of Equations Graphing No. Plot an inequality, write an inequality from a graph, or solve various types of linear inequalities with or without plotting the solution set. Click here for pdf version. A W LMmaJdEe0 Vw6iDtchb uIvn tf KiPniot OeN 6A0lAgNe3b orca d x1D. There are three types of compound inequalities which we will investi-gate in this lesson. 9 Worksheet by Kuta. In fact, we offer an entire algebra 2 curriculum: fourteen units covering all topics equations, to conic sections, and even trig. Principle Of Probability 1st Grade Math Worksheets Fractions Pdf Span Linear Algebra Infinite Solution Definition Placement Test Scores Equations Word Problems Number Patterns With. 6th Grade Equations and Inequalities Test. If a = 5, evaluate the expression 8 + 3a. This quiz focuses on solving word problems by first writing them as linear inequalities and then using the addition and multiplication principles. Matching Worksheet - If you are really good at writing and understanding inequalities, this will be a breeze for you. One side is lighter, or the mass is less, than the other side. In the preschool years, repetition is the key to learning, but you should look for worksheets that teach the same skills in a variety of ways. Common Words and Phrases that Indicate Inequalities > < ≥ ≤ • greater than • more than • exceeds • is higher than • less than • fewer than • is under • greater t han or equal to • no less than • at least • less than or equal to • no more than • at most Write an inequality and solve using inverse operations. 1) In basketball you score 2 points for a field goal and 1 point for a free throw. Moved Permanently. Vanier College Sec V Mathematics Department of Mathematics 201-015-50 Worksheet: Logarithmic Function 1. 3x + 6y – 9x + 4 4. Example-3x < 9 -3x < 9 -3 -3 x >-3 Systems of Inequalities Graph each inequality as shown above. Learn English online. math 101 syllabus math exam review backtracking math worksheets College Algebra Tutorial. Writing And Graphing Inequalities Worksheet. Solving Inequalities Worksheet 1 – Here is a twelve problem worksheet featuring simple one-step inequalities. Code the word problems - circle numbers, box important words, underline the variable (what the problem is asking for). Inequality Puzzle - Level 1. These statements are called inequalities. Writing, Graphing and Solving Inequalities. She gave two to every student in her math class. We have a complete K-12 math curriculum library. Write a system of inequalities to model the situation. Discuss the problems from the attachments and answer any questions. Helpful hint: The maze might look big but if student's think about it, certain problems can be eliminated because they are between two true statements. Worksheet -2. When we use inequalities, we have more than one answer. An inequality is a statement that two. 10 compound inequalities word problems mahakumbh. Inequalities can be shown on number lines. The product of 5 and y added to 3 7. Write and graph inequalities in one variable. Since this is an ‘and’ statement, find the intersection. 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. About This Quiz & Worksheet. 6th grade math worksheets. The shaded region is called the feasible region. What is the Pythagorean Theorem? Formulated in the 6th Century BC by Greek Philosopher and mathematician Pythagoras of Samos, Pythagorean Theorem is a mathematic equation used for a variety of purposes. 3 Grade Intended: 8th grade Pre-Algebra Length: 50 minutes Academic Standard: Standard 3 — Algebra and Functions Algebra is a language of patterns, rules, and symbols. t mr Write a word phrase for each algebraic expression. You are confronted with mathematical inequalities almost every day, but you may not notice them because they are so familiar. 7 Graph inequalities and shade the regions that they define; Packet. Structure Worksheet. Use inverse operations or mental math to solve for x. B 7th Grade Write an Inequalities Word Problems Worksheets PDF. Algebra Worksheets Pdf. 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. Write an equation describing the problem. 79 per gallon. For each word problem, write an algebraic equation using the given variable. Put in interval notation and draw a graph of each inequality. Consider the following problem: Peter and Nadia like to race each other. Write out the inequality. The acceptable weights for these athletes can be described using an inequality. Writing an inequality for a real-world situation: Worksheet 4. You plan to save $10 a week for the shoes by mowing lawns. Algebra Worksheets & Printable. Inequalities Guided Notes Math 6, Unit 4 AIM: Learn to read and write inequalities and graph them on a number line Vocabulary: inequality algebraic inequality solution set SYMBOL MEANING WORD PHRASES > ≥ < ≤ Write an inequality for each situation. Pairs Check Activity Solving Systems Of Equations Substitution. Interval Notation Worksheet When describing a solution there are several methods to demonstrate the answer. Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. The movie will be no more than 90 minutes in length. Free Inequalities Worksheets Whole Numbers & Number Systems - Expanded Form & Estimation This free worksheet contains problems where students must write numbers in expanded form and index notation. Each country sent a summary from their budget committee. Students are then to complete the worksheet by translating to words the inequality given. Solving One Step Equations Worksheets. 2 > t 2 > 1. (I speak from experience. Write 3 solutions for each inequality. Tracing paper may be used. ©a K2r0 E1Y2K PK 3u2t6ak QSto 5fRtAwca BrJe l RLbLyCT. Below are the solutions that you need to write in compact form. p Worksheet by Kuta Software LLC Algebra 1 ID: 1 Name_____ Date_____ Period____ ©m E2 20t1 w2 z tKfu8t 0a P 6Spo fRtFw3a 1r e2 hL eLxCr. Introductory Algebra Lesson 6 – Literal Equations, Inequalities, and Absolute Value YOU TRY For each problem, underline the Givens and circle the Goal. w-5-Worksheet by Kuta Software LLC Answers to Review: Graphing and Writing Linear Equations (ID: 13) 1) x y 2) x y. It was introduced so that we could write in shorthand things like 3 is less than 5. Then write an inequality statement in x describing the numbers graphed. The best source for free algebra worksheets. Interval notation worksheets are included too. Lesson 6 Inequalities 23 Main Idea Find solutions of inequalities by using mental math and the guess, check, and revise strategy. 5x + 2 ≤ 17. Writing the new function from the description 2. Examples: a) Solve the inequality. She needs to buy a small laptop computer before the next semester. Writing equations worksheet. If x represents age, write an inequality for those who do NOT get a discount. Over 300 Algebra worksheets and growing! Printable in convenient PDF format. Graphing Linear Equations From A Table Worksheet. Find the solution set: substitute each. Creating and Solving Inequalities Reteach An inequality, such as 2x < 8, has infinitely many numbers in its solution. Matching Worksheet - If you are really good at writing and understanding inequalities, this will be a breeze for you. Selection File type icon File name Description Size Revision Time Writing Equations Worksheet 1. A lot of information can be derived from even the simplest characteristics of triangles. Worksheet by Kuta Software LLC Algebra 1 Block Inequalities Word Problem Worksheet Name_____ Date_____ Period____ ©[ v2Y0w1n5R yKtuRtYad fSSoUfdtaw^azrPej QL\LUCB. Write neatly and show all work where necessary. Make sure that you know how to do it---check the online textbook!!!!. Resources Academic Maths Algebra Download it in pdf format by. com is simply the excellent site to explore!. Solve an inequality by UNDOING what has been done to x, using the same steps as you would use for an equality, with the exception given. Sara goes to Fredonia University. If ever you have advice with math and in particular with double inequality equation calculator or final review come pay a visit to us at Algebra-equation. Put in interval notation AND draw a graph of each inequality. Exercise Set 1. The sum of x and 5 is less than or equal to -2. About This Quiz & Worksheet. L e cAFlYlE Jr Li Eg phnt Psy orqeBsieXrKvKe0d U. com Write the inequality that best describes each graph : 1) Writing Inequalities ES1. Solving Inequalities Worksheet Pdf in a learning moderate can be utilized to check students abilities and understanding by answering questions. The data is reflected in the table below. Lesson 30: Inequalities D. Container A and container B have leaks. Name:_____ Worksheet: Section 1. Solve for the variable in two-step problems, worksheet #4. Determined whether to use the =, >, <, sign 4. The following problems require you to read and understand the question, then translate the question into an algebraic inequality. Special Rule - Just for Inequalities Whenever you multiply or divide by a negative number, you MUST reverse the sign. Worksheet 2. The retake test will be on Tuesday, April 12. The rules for manipulating inequalities are like those for equations except that multiplying or dividing each side by a negative number changes the direction of the inequality sign. Decimals Worksheets Revised @2009 MLC Page 1 of 21 Decimals Worksheets Decimal Place Values The decimal point separates the whole numbers from the fractional part of a number. All we ask is that you don't remove the KidSmart logo. Word Problems Leading to Inequalities -Independent Practice Worksheet Complete all the problems. You can select different variables to customize these Inequalities Worksheets for your needs. Write a system of inequalities to model the situation. Code the word problems – circle numbers, box important words, underline the variable (what the problem is asking for). w-5-Worksheet by Kuta Software LLC Answers to Review: Graphing and Writing Linear Equations (ID: 13) 1) x y 2) x y. Writing, Graphing and Solving Inequalities. S Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 1 Name_____ Two-Step Inequalities Date_____ Period____. I promise to make this as easy as possible. n B mMZaid 9eP pwLiXtjhj xI Sn8f 4isn uictweE sA glqg 2eHb srBah a1 o. Solution Of Equations And Inequalities Math Grade Math Equations And. If you’d like a pdf document containing the solutions the download tab above contains links to pdf’s containing the solutions for the full book, chapter and section. Solutions: Solutions: Graph each compound inequality. Round each decimal to the nearest hundredth. Working Subscribe Subscribed Unsubscribe 1. We have a complete K-12 math curriculum library. Graphing Linear Systems Worksheet, Relations And Functions, Solve Systems Of Linear Equations By Graphing Standard A, Stage Graph A Linear Equation In Slope Intercept Form A Algebra Worksheet Math Slope Roc, Solving Systems Of Linear Quadratic Equations By Graphing Practice Worksheet, Algebra 1 Worksheets Systems Of Equations And Inequalities Worksheets, 7 1 Systems Of Equations Graphing No. Graph the solutions on a. m = 8, b = 0 For 4 – 9, write an equation of the line that passes through the given point and has the given slope. 3-1 Graphing and Writing Inequalities LESSON Describe the solutions of x 2 6. The document has moved here. STEP 1 A, D, or NS Statement STEP 2 A or D 1. This quiz and worksheet combo will help you test your understanding of how to solve these. He must spend less than $40. 10 compound inequalities word problems mahakumbh. Writing, Graphing and Solving Inequalities. Algebra 1 Worksheets Systems Of Equations And Inequalities Worksheets. Graph the solutions on a. -1-Establish a variable, write an inequality to represent the scenerio, and solve. X 0 WAIlFlp Trfi 3glh dtJsO dr qezsne Frjv2e hd X. Write a complete. Writing And Graphing Inequalities Worksheet. Name: Writing Linear Equations Worksheet For 1 – 3, write an equation of the line with the given slope and y-intercept (SLOPE-INTERCEPT FORM). This set of worksheets introduces your students to the concept of solving for two variables, and provides examples, short practice sets, longer sets of questions, and quizzes. 1) The sum of two consecutive even integers is 218. Solve and check the following equations. 15 less than a number squared 5. Writing And Graphing Inequalities Worksheet. If x represents weight, write an inequality that describes her goal weight. Writing in Compact Form There are times when the function does have the word and between the inequalities and you have to write them in compact form. com Scan with your smart. solving one step inequalities worksheet Worksheet given in this section will be much useful for the students who would like to practice solving one step inequalities. Inequality tells us about the relative size of two values. What are the integers? 2) The length of the second side of a triangle is 3 cm shorter than the first side, and the third side is twice as long as the first side. The rules for manipulating inequalities are like those for equations except that multiplying or dividing each side by a negative number changes the direction of the inequality sign. org will compare, predic , an es with age ra. A lot of information can be derived from even the simplest characteristics of triangles. According to the Addition Property of Inequalities, adding any number to each side of a true inequality will result in a true inequality. Inequalities also come in forms of longer mathematical expressions, similar to equations. B 7th Grade Write an Inequalities Word Problems Worksheets PDF. Several inequalities can be combined together to form what are called compound inequalities. Translating Sentences to Equations/Inequalities Worksheet 3 Translate each sentence into an equation. Create free printable worksheets for linear inequalities in one variable (pre-algebra/algebra 1). It is not safe to use a light bulb of more than 60 watts in this light fixture. 7th Grade Write an Inequalities Word Problems Worksheets Printable PDF with Answers. Worksheet 1. Write words to describe the inequality, then math symbols to represent the speed. Solve word problems leading to equations of the form px + q = r and p ( x + q ) = r , where p , q , and r are specific rational numbers. Interval Notation Worksheet When describing a solution there are several methods to demonstrate the answer. Visit the post for more. Solving Inequalities Worksheet 1 – Here is a twelve problem worksheet featuring simple one-step inequalities. It has an answer key attached on the second page. Special Rule - Just for Inequalities Whenever you multiply or divide by a negative number, you MUST reverse the sign. k A UAulNlq yriiggphPtPsu KryeYsDeprLv^ePdp. Inequality numbers 30. “At least” means greater than or. Inequalities Guided Notes Math 6, Unit 4 AIM: Learn to read and write inequalities and graph them on a number line Vocabulary: inequality algebraic inequality solution set SYMBOL MEANING WORD PHRASES > ≥ < ≤ Write an inequality for each situation. Vocabulary inequality solution of an inequality 3-1 Graphing and Writing Inequalities The athletes on a lightweight crew team must weigh 165 pounds or less. Math Busters Word Problems reproducible worksheets are designed to help teachers,. 066 o ays enrc men atthh6. Use x to represent the number. If the perimeter is 49, how. Graphing Linear Systems Worksheet, Relations And Functions, Solve Systems Of Linear Equations By Graphing Standard A, Stage Graph A Linear Equation In Slope Intercept Form A Algebra Worksheet Math Slope Roc, Solving Systems Of Linear Quadratic Equations By Graphing Practice Worksheet, Algebra 1 Worksheets Systems Of Equations And Inequalities Worksheets, 7 1 Systems Of Equations Graphing No. This tutorial provides comprehensive coverage of writing, graphing and solving inequalities based on Common Core (CCSS) and State Standards and its prerequisites. 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 quantities. The retake test will be on Tuesday, April 12. in a specified set makes an equation or inequality true. Worksheet -2. 5 The Dual; Minimization with constraints 5. Thank you for using the SchoolExpress website! SchoolExpress has a variety of educational materials. a ≠ b says that a is not equal to b There are other special symbols that show in what way things are not equal. 15 less than a number squared 5. Julia has $80. Natasha has at least 5 cats. You plan to save $10 a week for the shoes by mowing lawns. Inequalities on number lines (page 1 of 2) Name:_____ Show the solution to the inequalities on the number lines. Solving Inequalities Worksheets. Write and graph a system of inequalities for the pH and chlorine levels the water should have. 4 Introduction to Inequalities Section 1 Inequalities The sign < stands for less than. The written problems can be made more difficult or easier depending on the ability of the students. Depending on the size of the LP, it may take some time for Solver to get ready. The solution is where both inequalities intersect. They will print on separate pages. Interval Notation Worksheet When describing a solution there are several methods to demonstrate the answer. Worksheet -4. Mathematics is not always about "equals", sometimes we only know that something is greater or less than. How old is Jenny? The equation used to solve this problem would be J = (S + 2) x 2. TWO STEP INEQUALITY WORD PROBLEMS 1. Write an inequality that can be used to determine how many. Grammar worksheets esl, printable exercises pdf, handouts, free resources to print and use in your classroom. 1 Write an inequality for each of the following real-world situations. Introduction. The best source for free algebra worksheets. com and discover matrix algebra, completing the square and plenty other algebra subject areas. Worksheet 2. These pre algebra worksheets have the answers on the 2nd page of the PDF. This website and its content is subject to our Terms and Conditions. In a similar way we can write 5 > 3 in this shorthand form. Graphing Linear Equations Worksheet Pdf Free Download Printable. Make sure that you know how to do it---check the online textbook!!!!. pdf: File Size: 260 kb:. 3 more than 5 times the number of dogs 6. A graph is a visual representation of a function of one variable. Write each polynomial in standard form. 11) 9 and 15 12) 11 and 20 13) 23 and 14 14) 5 and 8 15) 15 and 18 16) 22 and 34 17) 47 and 71 18) 21 and 47. The sum of x and 5 is less than or equal to -2. If Solver reaches a solution, a new dialog box will appear and prompt you to either accept the solution or restore the original worksheet values. Systems of Inequalities Word Problems Notes Use a system of linear inequalities to solve each problem. This is a math PDF printable activity sheet with several exercises. Square root The length of the side of a square with an area equal to a given number. Solve for the variable in two-step problems, worksheet #4. pdf from AA 1Name: _ Date: _ Inequalities Worksheet 1 a. 12 more than a number 2. Review Worksheets. We will open a new window containing your custom quadratic equations worksheet. y 21 Inequality 1 x > 22 Inequality 2 x 1 2y 4 Inequality 3 Solution Graph all three inequalities in the same coordinate plane. Animated Math Go digital with your write-in student edition, accessible on any device. Eighth Grade Solving Inequalities Worksheet One Page Worksheets. The set of all solutions of an. The product of 5 and y added to 3 7. 1) In basketball you score 2 points for a field goal and 1 point for a free throw. Solving Systems Equations With 3 Variables Worksheet Worksheets from Solving Inequalities Worksheet , source: bonlacfoods. Assessment: a. 1 Inequalities - Solve and Graph Inequalities Objective: Solve, graph, and give interval notation for the solution to linear inequalities. 50 and sodas sell for $2. These worksheets explain how to graph linear systems, including those with inequalities. pdf notes writing linear equations 2 ways. 14) Can you write a linear inequality whose solution contains only points with positive x-values and positive y-values? Why or why not? No. Writing an inequality for a real-world situation: Worksheet 4. 3 Multi-step Equations and Inequalities. 23 Sets of Numbers in the Real Number System Reals A real number is either a rational number or an irrational number. The Comparing Numbers Worksheet Maker will generate a worksheet with a series of number comparisons. But I truly hope and believe that Inequality and the Mean Inequalities. The graph of the system is the triangular region shown. Tracing paper may be used. Justify your answer. " I took her idea and ran with it in a slightly different direction (pun intended). Finite solution sets in inequalities 5. Student worksheet F. Moved Permanently. Name:_____ Worksheet: Section 1. These worksheets explain how to graph linear systems, including those with inequalities. Writing reinforces Maths learnt. 15 less than a number squared 5. The biggest difference is that, while the solution of an equation is one number, the solution of an inequality is often a large group of numbers. Solve for the variable in two-step problems, worksheet #4. Jason is buying wings and hot dogs for a party. Structure Worksheet. The Results for Equations And Inequalities Worksheet Answers. We are heroes. Pre-Algebra Worksheets Inequalities Worksheets. The solution set to an inequality in two variables is the set of all ordered pairs that satisfies the. Animated Math Go digital with your write-in student edition, accessible on any device. Tracing paper may be used. Check HW Solving "Simple" Square and Cube Equations Notes Writing Tracker Equations Project HW: Solving "Simple" Square and Cube Equations Worksheet, Equations Project. Plot an inequality, write an inequality from a graph, or solve various types of linear inequalities with or without plotting the solution set. Name: _____ Date: _____ Translate the sentences below into equations. Students are given a brief help section before being asked to describe inequalities they see on a number line as well as draw inequalities. Level 4: Solving Linear Inequality Take the Schoology Quiz (Level 4: Solving & Graphing Absolute Value Equations & Inequalities) Score of 4 or higher, Congratulations Math Master! Score of 3 or less, complete 1 of the following tasks BuzzMath Fix Mistakes Alternate Option Complete the following task in BuzzMath Write up the questions you got. 10 DATE_____SECTION_____ Graph the inequality on a number line. Write 3 solutions for each inequality. You may use your textbook or online resources for any additional assistance you may need. Pablo makes $300 a day and works 20 days a month, but he is fined $20 every day he is late. Students find the true statements and follow them to help Turkey Eddie get to his feast. Free Inequalities Worksheets Whole Numbers & Number Systems - Expanded Form & Estimation This free worksheet contains problems where students must write numbers in expanded form and index notation. x23 43 2xx x c. Solve word problems that involve linear inequalities in two variables. Step 4: Write the profit in terms of the variables. Writing Linear Inequalities Worksheet. You plan to save $10 a week for the shoes by mowing lawns. Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes. Notation What does it look like? How do you. Visit the post for more. What is the Pythagorean Theorem? Formulated in the 6th Century BC by Greek Philosopher and mathematician Pythagoras of Samos, Pythagorean Theorem is a mathematic equation used for a variety of purposes. Students can navigate learning paths based on their level of readiness. Introduction to inequalities 2. Applied Problems of Inequalities Five Worksheet Pack - I totally love these types of problems. means a is less than b. You will not be writing inequalities in Slope-Intercept Form. Justify your answer. She gave two to every student in her math class. Solve for the variable in two-step problems, worksheet #3. Click the following links to download one ste equations worksheets as pdf documents. The movie will be no more than 90 minutes in length. x > 4 Divide each side by 4. Writing and Evaluating Expressions Worksheet Evaluate each expression using the values m = 7, r = 8, and t = 2. 7: Interval Notation and Linear Inequalities 94 University of Houston Department of Mathematics For each of the following inequalities: (a) Write the inequality algebraically. These inequality worksheets will produce two step inequalities problems for graphing. 1) Five more than a number is 17. (example: a ≥ 7) One-Step Inequalities. Solving one-variable inequalities 3. Printable Math Worksheets @ www. The Mathematics Learning Centre holds workshops at the beginning of each semester. The mountain is at least 985 feet tall. Lucy is 2 years older than Stacie. 1 transformations worksheet from Wednesday 10/19. Then sketch the graph of all the numbers that make the inequality true. Here is a graphic preview for all of the Linear Equations Worksheets. The fact-checkers, whose work is more and more important for those who prefer facts over lies, police the line between fact and falsehood on a day-to-day basis, and do a great job. Today, my small contribution is to pass along a very good overview that reflects on one of Trump’s favorite overarching falsehoods. Namely: Trump describes an America in which everything was going down the tubes under  Obama, which is why we needed Trump to make America great again. And he claims that this project has come to fruition, with America setting records for prosperity under his leadership and guidance. “Obama bad; Trump good” is pretty much his analysis in all areas and measurement of U.S. activity, especially economically. Even if this were true, it would reflect poorly on Trump’s character, but it has the added problem of being false, a big lie made up of many small ones. Personally, I don’t assume that all economic measurements directly reflect the leadership of whoever occupies the Oval Office, nor am I smart enough to figure out what causes what in the economy. But the idea that presidents get the credit or the blame for the economy during their tenure is a political fact of life. Trump, in his adorable, immodest mendacity, not only claims credit for everything good that happens in the economy, but tells people, literally and specifically, that they have to vote for him even if they hate him, because without his guidance, their 401(k) accounts “will go down the tubes.” That would be offensive even if it were true, but it is utterly false. The stock market has been on a 10-year run of steady gains that began in 2009, the year Barack Obama was inaugurated. But why would anyone care about that? It’s only an unarguable, stubborn fact. Still, speaking of facts, there are so many measurements and indicators of how the economy is doing, that those not committed to an honest investigation can find evidence for whatever they want to believe. Trump and his most committed followers want to believe that everything was terrible under Barack Obama and great under Trump. That’s baloney. Anyone who believes that believes something false. And a series of charts and graphs published Monday in the Washington Post and explained by Economics Correspondent Heather Long provides the data that tells the tale. The details are complicated. Click through to the link above and you’ll learn much. But the overview is pretty simply this: The U.S. economy had a major meltdown in the last year of the George W. Bush presidency. Again, I’m not smart enough to know how much of this was Bush’s “fault.” But he had been in office for six years when the trouble started. So, if it’s ever reasonable to hold a president accountable for the performance of the economy, the timeline is bad for Bush. GDP growth went negative. Job growth fell sharply and then went negative. Median household income shrank. The Dow Jones Industrial Average dropped by more than 5,000 points! U.S. manufacturing output plunged, as did average home values, as did average hourly wages, as did measures of consumer confidence and most other indicators of economic health. (Backup for that is contained in the Post piece I linked to above.) Barack Obama inherited that mess of falling numbers, which continued during his first year in office, 2009, as he put in place policies designed to turn it around. By 2010, Obama’s second year, pretty much all of the negative numbers had turned positive. By the time Obama was up for reelection in 2012, all of them were headed in the right direction, which is certainly among the reasons voters gave him a second term by a solid (not landslide) margin. Basically, all of those good numbers continued throughout the second Obama term. The U.S. GDP, probably the single best measure of how the economy is doing, grew by 2.9 percent in 2015, which was Obama’s seventh year in office and was the best GDP growth number since before the crash of the late Bush years. GDP growth slowed to 1.6 percent in 2016, which may have been among the indicators that supported Trump’s campaign-year argument that everything was going to hell and only he could fix it. During the first year of Trump, GDP growth grew to 2.4 percent, which is decent but not great and anyway, a reasonable person would acknowledge that — to the degree that economic performance is to the credit or blame of the president — the performance in the first year of a new president is a mixture of the old and new policies. In Trump’s second year, 2018, the GDP grew 2.9 percent, equaling Obama’s best year, and so far in 2019, the growth rate has fallen to 2.1 percent, a mediocre number and a decline for which Trump presumably accepts no responsibility and blames either Nancy Pelosi, Ilhan Omar or, if he can swing it, Barack Obama. I suppose it’s natural for a president to want to take credit for everything good that happens on his (or someday her) watch, but not the blame for anything bad. Trump is more blatant about this than most. If we judge by his bad but remarkably steady approval ratings (today, according to the average maintained by 538.com, it’s 41.9 approval/ 53.7 disapproval) the pretty-good economy is not winning him new supporters, nor is his constant exaggeration of his accomplishments costing him many old ones). I already offered it above, but the full Washington Post workup of these numbers, and commentary/explanation by economics correspondent Heather Long, are here. On a related matter, if you care about what used to be called fiscal conservatism, which is the belief that federal debt and deficit matter, here’s a New York Times analysis, based on Congressional Budget Office data, suggesting that the annual budget deficit (that’s the amount the government borrows every year reflecting that amount by which federal spending exceeds revenues) which fell steadily during the Obama years, from a peak of $1.4 trillion at the beginning of the Obama administration, to $585 billion in 2016 (Obama’s last year in office), will be back up to $960 billion this fiscal year, and back over $1 trillion in 2020. (Here’s the New York Times piece detailing those numbers.) Trump is currently floating various tax cuts for the rich and the poor that will presumably worsen those projections, if passed. As the Times piece reported: