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3/25/2019MyGED : Study GuideGED Study GuideMATHWhat you need to know about the GED Math Test1You should be familiar with arithmetic and math concepts, measurements, equations, andapplying math concepts to solve real-life problems.Remember, the math test is not a memorization test! You'll have access to a formula sheet thatgives you information like how to calculate the area for different shapes.2This study guide and the example questions in it will help you get an idea of what’s going tobe on the test.3You don’t need to know everything in this guide!If you want to see how close you are to passing, the GED Ready official practice test is a greatway to help you determine if you’re ready.Test OverviewTopicsBasic MathGeometryBasic AlgebraGraphs and FunctionsTime (to take the test)115 minutes3 minute break between parts (to retrieve your calculator)Format2 partsCalculator allowed for part 2Access to calculator reference sheet and math formula sheetMultiple choice and other question types (drag and drop, fill in the blank, hot spot, anddrop down)What you'll be tested /guide/MATH/printThe GED test will measure your strength in the skills below. Click on a skill to learn more about it.1/44
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3/25/2019MyGED : Study GuideBasic Math1Fractions and decimals in orderPlace fractions and decimals in order.For example, you can order the set of numbers:13, 0.5,4, 0.98in order from smallest to largest:143,, 0.5, 0.98Example QuestionsFractions and decimals in orderQuestion:Between which pair of decimals should4be placed on a number line?7A0.3 and 0.4B0.4 and 0.5C0.5 and 0.6D0.6 and y/guide/MATH/print3/44
3/25/2019MyGED : Study Guide2Multiples and factorsFind multiples and factors.For example:the least common multiple of 3 and 5 is 15the greatest common factor of 12 and 30 is 6Example QuestionsMultiples and factorsQuestion:Susan and Daphne are participating in a walk-a-thon at the local community collegetrack to raise money. Susan can walk around the track in 4 minutes. Daphne canwalk around the track in 6 minutes. Susan and Daphne started walking at the sametime. How many minutes will it be until they complete a lap at the same /portal#/study/guide/MATH/print4/44
3/25/2019MyGED : Study Guide3Simplify exponentsSimplify numerical expressions with exponentsFor example, 26 25 211Example QuestionsSimplify exponentsQuestion:Simplify. (2 9 3 5) (2 4 3) 2 A 6 20 B 6 24 C 2 13 3 7 D 2 17 3 7 uide/MATH/print5/44
3/25/2019MyGED : Study Guide4Distance between numbers on a number lineFind the distance between numbers on a number line using absolute value.For example, on a number line with points plotted at -2 and 4, the distance between thepoints is 6.Example QuestionsDistance between numbers on a number lineQuestion:The points -4 and 5 are plotted on a number line. What is the distance, in units,between the two portal#/study/guide/MATH/print6/44
3/25/2019MyGED : Study Guide5Whole numbers, fractions, and decimal problems.Compute and solve problems with whole numbers, fractions, and decimals.Example QuestionsWhole numbers, fractions, and decimal problems.Question:Simplify.12 15 3 6 – rtal#/study/guide/MATH/print7/44
3/25/2019MyGED : Study Guide6Squares, square roots, cubes, and cube rootsCalculate and compute with squares, square roots, cubes, and cube roots of numbers.Example QuestionsSquares, square roots, cubes, and cube rootsQuestion:Add. 3sqrt{7} sqrt{7} A 4sqrt{7} B 3sqrt{14} C 4sqrt{14} D 3sqrt{49} uide/MATH/print8/44
3/25/2019MyGED : Study Guide7Undefined expressionsKnow that expressions with a denominator of zero are "undefined" and have no solution.Identify "undefined" numerical expressions which have no solution, including:a denominator of zerosquare roots of negative numbersExample QuestionsUndefined expressionsQuestion:Which expression is undefined in the set of real numbers?A sqrt{-4} B frac{0}{-4} C 0 4 D -4 0 uide/MATH/print9/44
3/25/2019MyGED : Study Guide8Unit ratesFind unit rates.For example:miles per hourdollars per poundExample QuestionsUnit ratesA store charges 6.96 for a case of mineral water.Each case contains 2 boxes of mineral water.Each box contains 4 bottles of mineral water.Question:What is the cost of each bottle of mineral water?A 0.87B 1.16C 1.74D dy/guide/MATH/print10/44
3/25/2019MyGED : Study Guide9Objects at scaleUse scale factors to convert dimensions between scale drawings and actual objects.For example, you might be presented with an image of the dimensions of a room. Theimage may use 1 inch to represent 1 foot of real space in the room.Example QuestionsObjects at scaleQuestion:A scale drawing of a house uses a scale of 0.5 inches 2 feet. What is the length, ininches, of a line on the scale drawing that represents an actual length of 5 .com/portal#/study/guide/MATH/print11/44
3/25/2019MyGED : Study Guide10Multiple-step problems that use ratios, proportions,and percentsSolve multiple-step problems that use ratios, proportions, and percentages.Examples of multi-step problems include:Simple interestPercent increase and decreaseGratuitiesCommissionsExample QuestionsMultiple-step problems that use ratios, proportions, and percentsQuestion:The price of Veronica’s meal before tax and tip was 11.92. Veronica paid 8% tax,then added a 15% tip to the total. To the nearest cent, how much did Veronica pay forher meal?A 12.87B 13.71C 14.66D udy/guide/MATH/print12/44
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3/25/2019MyGED : Study GuideGeometry1Side lengths of shapes when given the area orperimeterFind the side lengths of triangles, rectangles, and polygons when given the area orperimeter.Remember, you will be provided with the math formulas.Example QuestionsSide lengths of shapes when given the area or perimenterQuestion:A rectangle has an area of 54 square inches and a length of 6 inches. What is thewidth, in inches, of the e.com/portal#/study/guide/MATH/print14/44
3/25/2019MyGED : Study Guide2Area and perimeter of two-dimensional shapesFind the area and perimeter of two-dimensional shapes, including triangles, rectangles,polygons, and composite shapes.Remember, you will be provided with the math formulas.Example QuestionsArea and perimeter of two-dimensional shapesThe Wilson family's back yard is a rectangular plot that has a length of 100 feet and awidth of 80 feet. The family planted a garden with a length and width of 60 feet. Thefamily planted a lawn in the remaining area of the back yard, as shown.Question:What is the area, in square feet, of the lawn in the Wilson family's back earsonvue.com/portal#/study/guide/MATH/print15/44
3/25/2019MyGED : Study Guide3Area, circumference, radius, and diameter of a circleFind the area and circumference of a circle. Find the radius or diameter of a circle whengiven the area of circumference.Remember, you will be provided with the math formulas.Example QuestionsArea, circumference, radius, and diameter of a circleGreg installed a circular drain that has a diameter of 4.8 inches.Question:To the nearest tenth of an inch, what is circumference of the onvue.com/portal#/study/guide/MATH/print16/44
3/25/2019MyGED : Study Guide4Pythagorean theoremUse the Pythagorean theorem a2 b2 c2to find a side length in a right triangle.Example QuestionsPythagorean theoremThe foundation of a building is in the shape of a rectangle, with a length of 20 meters(m) and a width of 18 m.Question:To the nearest meter, what is the distance from the top left corner of the foundation tothe bottom right com/portal#/study/guide/MATH/print17/44
3/25/2019MyGED : Study Guide5Volume and surface area of three-dimensional shapesFind the volume and surface area of three-dimensional shapes, including rectangular andright prisms, cylinders, and right pyramids. Find the side lengths, radius, or diameter of athree-dimensional figure when given the volume or surface area.Remember, you will be provided with the math formulas.Example QuestionsVolume and surface area of three-dimensional shapesA sphere has a radius of 7.5 centimeters (cm).Question:To the nearest cubic centimeter, what is the volume of the pearsonvue.com/portal#/study/guide/MATH/print18/44
3/25/2019MyGED : Study Guide6Graphical data including graphs, tables, and moreConstruct and explain data from bar graphs, circle graphs, dot plots, histograms, box plots,tables, scatter plots, and line graphs.Example QuestionsGraphical data including graphs, tables, and moreThe line graph shows the monthly payroll at a large construction company.Question:In which month did the monthly payroll decrease the pearsonvue.com/portal#/study/guide/MATH/print19/44
3/25/2019MyGED : Study Guide7Mean, median, mode, and rangeFind the mean, median, mode, and range of a number set. Find a missing value whengiven an average.Example QuestionsMean, median, mode, and rangeThe manager of an apartment complex ordered the air conditioners in the apartmentsto be replaced. The list shows how many years each air conditioner had been inservice.12.2, 13.7, 11.9, 13.4, 11.9, 12.3, 12.9, 11.8, 13.3, 13.6Question:What is the median number of years that an air conditioner had been in arsonvue.com/portal#/study/guide/MATH/print20/44
3/25/2019MyGED : Study Guide8Counting techniquesUse counting techniques to solve math problems. For example, count how many differentways objects can be ordered, arranged, or combined.Example QuestionsCounting techniquesQuestion:A restaurant serves custom-made omelets, where guests select meat, cheese, andvegetables to be added to their omelet. There are 6 vegetables available, and guestsmay select any 2 vegetables for their omelet. How many different combinations of 2vegetables are e.com/portal#/study/guide/MATH/print21/44
3/25/2019MyGED : Study Guide9Probability of an eventFind the probability of one or more events happening.For example, what is the probability of drawing a jack or a king randomly from a deck ofcards?Example QuestionsProbability of an eventQuestion:In a shipment of toys from a manufacturer, the probability that a toy is defective is1. If Marie selects 2 toys from a shipment, what is the probability that both toys are50defective?A125B150C1100D12, y/guide/MATH/print22/44
3/25/2019MyGED : Study GuideBasic Algebra1Add, subtract, multiply, and factor linear expressionsSimplify linear expressions by adding, subtracting, multiplying, expanding, and factoring.For example:Expand 4(7x Factor 4x 82)Example QuestionsAdd, subtract, multiply, and factor linear expressionsQuestion:Subtract.(3x – 4y) – (4x – 3y)A x – yB7x – yC x – 7yD7x – /guide/MATH/print23/44
3/25/2019MyGED : Study Guide2Evaluate algebraic expressionsEvaluate algebraic expressions by substituting (replacing) variables with numbers.Example QuestionsEvaluate algebraic expressionsQuestion:A painter uses the expression 35h 30c to determine how much he charges acustomer for a job that takes h hours and c cans of paint. His last job required 3 cansof paint and took 15 hours to complete. How much did the painter charge?A 540B 555C 615D y/guide/MATH/print24/44
3/25/2019MyGED : Study Guide3Algebraic expressions -- creationCreate algebraic expressions to represent problem situations or word-to-symboltranslations.Example QuestionsAlgebraic expressions -- creationQuestion:In a science experiment, the initial temperature was 55 degrees Fahrenheit, andeach hour after, the temperature dropped by 4 degrees. Which expression representsthe temperature, in degrees Fahrenheit, after t hours?A55 – 4tB55 4tC4t 55D4t – /guide/MATH/print25/44
3/25/2019MyGED : Study Guide4Add, subtract, multiply, divide,and factor polynomialsAdd, subtract, multiply, divide, and factor polynomials.For example:(x 8)(x 4)Factor 3x2 10x 8Example QuestionsAdd, subtract, multiply, divide,and factor polynomialsQuestion:Multiply.(2x– y)(3x y)A6xB5xC6xD5x2222– xy – y– xy – y22– xy – 2y– xy – dy/guide/MATH/print26/44
3/25/2019MyGED : Study Guide5Create polynomials from written descriptionsCreate polynomials to represent problem situations or word-to-symbol translations.For example, a triangle has three sides with the following lengths:2x 1units, 3x 5units, and 4x 1unitsWrite an algebraic expression for the perimeter of the triangle in units.Example QuestionsCreate polynomials from written descriptionsQuestion:A rental company carries tables that seat 2, 4, or 8 people. For a wedding, acustomer orders x tables that seat 2 people, y tables that seat 4 people, and z tablesthat seat 8 people. Which expression represents the number of people who could beseated at the tables that the customer orders?A2x(4y)(8z)B2x 4y 8zC(2 4 8)(xyz)D(2 4 8)(x y /guide/MATH/print27/44
3/25/2019MyGED : Study Guide6Add, subtract, multiply and divide rational expressionsAdd, subtract, multiply and divide rational expressions.Example QuestionsAdd, subtract, multiply and divide rational expressionsQuestion:Add.3x xAx 23 x2x 2Bx 52x 2Cx2 3x 2x(x 2)Dx2 3x 6x(x /guide/MATH/print28/44
3/25/2019MyGED : Study Guide7Write an expression from a written descriptionWrite an expression from a written description.Example QuestionsWrite an expression from a written descriptionA written description of a mathematical expression is shown.the quotient of the sum of 4 and 2 times a number, and the difference of 6 lessthan 3 times the same numberQuestion:Which expression matches the written description?A2x 43x 6B2x 46 3xC(2x 4)(3x – 6)D(2x 4)(6 – y/guide/MATH/print29/44
3/25/2019MyGED : Study Guide8Use linear equations to solve real-world problemsUse linear equations to solve real-world problems. For example, calculate the fuelefficiency of a car at different speeds.Example QuestionsUse linear equations to solve real-world problemsQuestion:Lucy is shipping 5 boxes that all weigh the same, and 1 envelope that weighs 7.5pounds. The total weight of the shipment is 65 pounds. What is the weight, inpounds, of each vue.com/portal#/study/guide/MATH/print30/44
3/25/2019MyGED : Study Guide9Solve a system of two linear equationsSolve a system of linear equations and real-world problems that involve them.Common techniques include graphing, substitution, or addition to compute a system of twolinear equations.Example QuestionsSolve a system of two linear equationsA system of equations is shown.4x 3y 84x – 3y 16Question:What is the value of tal#/study/guide/MATH/print31/44
3/25/2019MyGED : Study Guide10Solve inequalities and graph the answer on a numberlineSolve inequalities and real-world problems that involve them, and graph the solutions.Example QuestionsSolve inequalities and graph the answer on a number lineQuestion:Isabella saved 15,000 and bought a car that cost 12,700. The insurance for the carwill cost 600 per year. How many full years will Isabella be able to pay for carinsurance with her remaining om/portal#/study/guide/MATH/print32/44
3/25/2019MyGED : Study Guide11Quadratic equations with one variableSolve quadratic equations with one variable.For example, 3x2 2x 8 0.Example QuestionsQuadratic equations with one variableQuestion:Solve.4xA2x – x – 5 0 1and x5 4BCD4x x 5and x 1x 1 1and xand x4 55 guide/MATH/print33/44
3/25/2019MyGED : Study GuideGraphs and Functions1Locate points and graph equationsLocate points and graph linear equations in a coordinate plane.Example QuestionsLocate points and graph equationsPoints J, K, and L are plotted on a coordinate grid.Question:What are the coordinates of the points on the coordinate grid?AJ (1, -4); K (3, 0); L (-2, 3)BJ (-4, 1); K (0, 3); L (3, -2)CJ (-4, 1); K (0, 3); L (-2, 3)DJ (-4, 1); K (3, 0); L (3, y/guide/MATH/print34/44
3/25/2019MyGED : Study Guide2Slope of a line from a graph, equation, or tableFind the slope of a line from a graph, equation, or table.Example QuestionsSlope of a line from a graph, equation, or tableQuestion:What is the slope of the line represented by the equation 3xA 4y 8?4 3B3 study/guide/MATH/print35/44
3/25/2019MyGED : Study Guide3Proportional relationships for equations and graphsDetermine whether an equation and a graph show the same proportional relationship.Example QuestionsProportional relationships for equations and graphsQuestion:Chelsea designs beaded bracelets. The equation P 7 0.05b can be used tofind the price, P , of a bracelet that has b beads. What does the number 0.05 in theequation represent?Athe price of each beadBthe price of each braceletCthe number of bracelets madeDthe number of beads in a /study/guide/MATH/print36/44
3/25/2019MyGED : Study Guide4Features of graphs and tables for linear and nonlinearrelationshipsIdentify features of graphs and tables for linear and nonlinear relationships.For example, using the rise/run to determine slope, coordinates of points, and x/y intercept.Example QuestionsFeatures of graphs and tables for linear and nonlinear relationshipsQuestion:Kirsten walks up 6 flights of stairs to her office each morning as part of her exerciseroutine. She walks the first 3 flights, rests for 30 seconds, walks the next 2 flights atthe same rate of speed as she walked the first 3 flights, rests again for 30 seconds,and then walks the last flight of stairs at the same rate. Which graph representsKirsten walking up the al#/study/guide/MATH/print37/44
3/25/2019MyGED : Study Guide5Slope and a point on a lineFind the equation of a line when given the slope and a point on the line.Example QuestionsSlope and a point on a lineQuestion:What is the equation of the line that has a slope of -7 and passes through the point(4, 8)?Ax 7y 60B7x y 36Cx – 7y D7x – y 20 /guide/MATH/print38/44
3/25/2019MyGED : Study Guide6Equation of a line from two pointsFind the equation of a line from two points on the line.Example QuestionsEquation of a line from two pointsQuestion:What is the equation of the line that passes through the points (-3, -2) and (1, 6)?Ay 2x 4By Cy Dy 2x 8121x 12211x guide/MATH/print39/44
3/25/2019MyGED : Study Guide7Use slope of a lineUse the slope of a line to solve problems, for example identify whether lines are parallel orperpendicular.Example QuestionsUse slope of a lineQuestion:What is the slope of a line that is perpendicular to 5x –AB2y 1? 52 /study/guide/MATH/print40/44
3/25/2019MyGED : Study Guide8Functions shown in different waysCompare functions that are shown in different ways, such as tables, graphs, equations andwritten descriptions.Example QuestionsFunctions shown in different waysQuestion:Tim is looking at two websites that allow customers to print their own designs on Tshirts. One website charges 24 per T-shirt plus 8 shipping. The other website usesthe equation C 22n 12 to find the total cost, C , of printing n T-shirts. What isthe difference in the cost of each website if Tim orders 10 T-shirts?A 2B 16C 20D /guide/MATH/print41/44
3/25/2019MyGED : Study Guide9Functions in tables and graphsRecognize a function in a table or graph by determining whether or not there is only oneoutput value for each input value.Example QuestionsFunctions in tables and graphsQuestion:Which table represents a rtal#/study/guide/MATH/print42/44
3/25/2019MyGED : Study Guide10Evaluating functionsEvaluate a function.For example:f (x) x2 3x; find f ( 8)Example QuestionsEvaluating functionsQuestion:What is the value of f(x) 3x 2 4 when x - /portal#/study/guide/MATH/print43/44
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GED Study Guide MATH What you need to know about the GED Math Test 1 You should be familiar with arithmetic and math concepts, measurements, equations, and applying math concepts to solve real-life problems . Remember, the math test is not a memorization test! You'll have access to a formula sheet that
