Review For Mastery

2y ago
20 Views
2 Downloads
891.68 KB
18 Pages
Last View : 2m ago
Last Download : 2m ago
Upload by : Farrah Jaffe
Transcription

Name Date ClassReview for MasteryIdentifying Linear FunctionsYou can determine if a function is linear by its graph, ordered pairs, or equation.Identify whether the graph represents a linear function.Step 1: Determine whether the graph is a function.Every x-value is paired with exactly one y-value; therefore,the graph is a function. Continue to step 2.Step 2: Determine whether the graph is a straight line.Conclusion: Because this graph is a function and a straightline, this graph represents a linear function.Identify whether {(4, 3), (6, 4), (8, 6)} represents a linear function.Step 1: Write the ordered pairs in a table.Step 2: Find the amount of change in each variable.Determine if the amounts are constant.Conclusion: Although the x-values show a constantchange, the y-values do not. Therefore, this set ofordered pairs does not represent a linear function.Identify whether the function y 5x 2 is a linear function.Try to write the equation in standard form (Ax By C).y 5x 2 5x 5x 5x y 2In standard form, x and y have exponents of 1 are not multiplied together are not in denominators, exponents,or radical signsConclusion: Because the function can be written in standard form,(A 5, B 1, C 2), the function is a linear function.Tell whether each graph, set of ordered pairs, or equation representsa linear function. Write yes or no.1.2.4. {( 3, 5), ( 2, 8), ( 1, 12)}3.5. 2y 3x 2xy 95 510 1156. y 4x 7Original content Copyright by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.Holt McDougal Algebra 1

Name Date ClassOriginal content Copyright by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.Holt McDougal Algebra 1

Name Date ClassGive the domain and range for the graphs below.7.8.9.10. Tyler makes 10 per hour at his job. The function f(x) 10xgives the amount of money Tyler makes after x hours.Graph this function and give its domain and range.Review for MasteryUsing Intercepts continuedYou can find the x- and y-intercepts from an equation. Then you can use theintercepts to graph the equation.Find the x- and y-intercepts of 4x 2y 8.To find the x-intercept, substitute 0 for y.To find the y-intercept, substitute 0 for x.4x 2x 84x 2(0) 84x 84x 8 4 4x 24x 2y4(0) 2y2y2y2yThe x-intercept is 2.The y-intercept is 4. 8 8 88 2 4Use the intercepts to graph the line described by 4x 2y 8.Because the x-intercept is 2,the point (2, 0) is on the graph.Because the y-intercept is 4,the point (0, 4) is on the graph.Plot (2, 0) and (0, 4).Original content Copyright by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.Holt McDougal Algebra 1

Name Date ClassDraw a line through both points.Find the x- and y-intercepts.1.2.3.4. The volleyball team is traveling to a game 120 miles away.Their average speed is 40 mi/h. The graphed line describesthe distance left to travel at any time during the trip. Find theintercepts. What does each intercept represent?Original content Copyright by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.Holt McDougal Algebra 1

Name Date ClassUse intercepts to graph the line described by each equation.5. 3x 9y 96. 4x 6y 127. 2x y 4Review for MasteryRate of Change and SlopeA rate of change is a ratio that compares the amount of change in adependent variable to the amount of change in an independent variable.The table shows the average retail price of peanut butter from 1986 to 1997.Find the rate of change in cost for each time interval. During which time intervaldid the cost increase at the greatest rate?Year19861987198919921997Cost per lb ( ) 1.601.801.811.941.78Step 1: Identify independent and dependent variables.Year is independent. Cost is dependent.Step 2: Find the rates of change.1986 to 1987change in cost1.80 1.60 0.20 0.2change in years 1987 198611987 to 1989change in cost1.81 1.80 0.01 0.005change in years 1989 19872change in cost1.94 1.81 0.131989 to 1992 0.043change in years 1992 198931992 to 1997change in cost1.78 1.94 0.16 0.032change in years 1997 19925greatest rate of changeThis rate of changeis negative. Theprice went downduring this timeperiod.The cost increased at the greatest rate from 1986 to 1987.The table shows the average retail price of cherries from 1986 to 1991.Find the rate of change in cost for each time interval.Year1986198819891991Cost per lb ( )1.271.631.152.26Original content Copyright by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.Holt McDougal Algebra 1

Name Date Class1. 1986 to 1988change in cost change in years 2. 1988 to 1989change in cost change in years 3. 1989 to 1991change in cost change in years 4. Which time interval showed the greatest rate of change?5. Was the rate of change ever negative? If so, when?Original content Copyright by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.Holt McDougal Algebra 1

Name Date ClassFind the slope of each line.6.7.9.8.10.11.Review for MasteryThe Slope FormulaYou can find the slope of a line from any two ordered pairs. The ordered pairs canbe given to you, or you might need to read them from a table or graph.Find the slope of the line that contains ( 1, 3) and (2, 0).Step 1: Name the ordered pairs. (It does not matter which is firstand which is second.)first ordered pair( 1, 3)(2, 0)second ordered pairStep 2: Label each number in the ordered pairs.( 1, 3)(2, 0)(x1, y1)(x2, y2)Step 3: Substitute the ordered pairs into the slope formula.m y 2 y1x2 x1 0 32 ( 1)Original content Copyright by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.Holt McDougal Algebra 1

Name Date Class 33 1 The slope of the line that contains ( 1, 3) and (2, 0) is 1.Find the slope of each linear relationship.1.2.xy4 58 312 11613. The line contains(5, 2) and (7, 6).Original content Copyright by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.Holt McDougal Algebra 1

Name Date ClassFind the slope of the line described by each equation.4. 2x 5y 105. 4x 2y 86. 6x 2y 127. 8y 4x 328. 6y 8x 249. 1x 2y 32Review for MasteryDirect VariationA direct variation is a special type of linear relationship. It can be writtenin the form y kx where k is a nonzero constant called the constant of variation.You can identify direct variations from equations or from ordered pairs.Tell whether 2x 4y 0 is a directvariation. If so, identify the constant ofvariation.First, put the equation in the form y kx.2x 4y 0 2x 2xAdd 2x to each side.4y 2x2x4y 441y x2Divide both sides by 4.x246y123If we solve y kx for k, we get:y kx kFind k for each ordered pair. This meansfindBecause the equation can be written in theform y kx, it is a direct variation.The constant of variation is Tell whether the relationship is a directvariation. If so, identify the constant ofvariation.1.2for each ordered pair. If they are thesame, the relationship is a direct variation. This is a direct variation.Tell whether each equation or relationship is a direct variation. If so,identify the constant of variation.1. x y 72. 4x 3y 03. 8y 24xOriginal content Copyright by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.Holt McDougal Algebra 1

Name Date Class4.x 4210y2 1 5Original content Copyright by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.Holt McDougal Algebra 1

Name Date Class3. slope 7, y-intercept 24. slope is 3, ( 4, 6) is on the line.1, ( 2, 8) is on the line.26. slope is 1, (5, 2) is on the line.5. slope isOriginal content Copyright by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.Holt McDougal Algebra 1

Name Date ClassWrite the following equations in slope-intercept form.7. 5x y 308. x y 79. 4x 3y 1210. Write 2x y 3 in slope-intercept form.Then graph the line.Review for MasteryPoint-Slope FormYou can graph a line if you know the slope and any point on the line.Graph the line with slope 2 that containsthe point (3, 1).Step 1: Plot (3, 1).2; Count 2 up and11 right and plot another point.Step 2: The slope is 2 orStep 3: Draw a line connecting the points.Graph the line with the given slope that contains the given point. 1; ( 2, 4)21. slope 2; ( 3, 3)32. slope 4. slope 3; (1, 2)25. slope 2; ( 3, 2)3. slope 3; ( 2, 2)26. slope ; (2, 4)3Original content Copyright by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.Holt McDougal Algebra 1

Name Date ClassOriginal content Copyright by Holt McDougal. Additions and changes to the originalplane and have no points in common. Thelines will never intersect.Identify which lines are parallel.y 2x 4;y 3x 4;y 2x 1If lines have the same slope, but differenty-intercepts, they are parallel lines.y 2x 4;y 3x 4;y 2x 1m 2,m 3m 2b 4b 4b 1y 2x 4 and y 2x 1 are parallel.Identify which two lines are parallel. Then graph theparallel lines.1. y 4x 2; y 2x 1; y 2x 3Identify which two lines are perpendicular. Then graphthe perpendicular lines.2. y 232x 2; y x 1; y x 3323Original content Copyright by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.Holt McDougal Algebra 1

Name Date ClassReview for MasterySlopes of Parallel and Perpendicular Lines continuedWrite an equation in slope-intercept formfor the line that passes through(2, 4) and is parallel to y 3x 2.Step 1: Find the slope of the line.The slope is 3.Write an equation in slope-intercept formfor the line that passes through (2, 5) and2is perpendicular to y x 2.3Step 1: Find the slope of the line and theslope for the perpendicular line.Step 2: Write the equation in point-slopeform.2. The slope of the33perpendicular line will be .2The slope isy y1 m(x x1)y 4 3(x 2)Step 3: Write the equation in slope-interceptform.Step 2: Write the equation (with the newslope) in point-slope form.y y1 m(x x1)3y 5 (x 2)2y 4 3(x 2)y 4 3x 6 4 4y 3x 2Step 3: Write the equation in slope-interceptform.3(x 2)23y 5 x 32y 5 5 5y 3x 82Write the slope of a line that is parallel to, and perpendicular to,the given line.3. y 6x 34. y 4x 13parallel:perpendicular:parallel:perpendicular:5. Write an equation in slope-intercept form for the linethat passes through (6, 5) and is parallel to y x 4.6. Write an equation in slope-intercept form for the linethat passes through (8, 1) and is perpendicular toy 4x 7.Original content Copyright by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.Holt McDougal Algebra 1

Direct Variation A direct variation is a special type of linear relationship. It can be written in the form y kx where k is a nonzero constant called the constant of variation. You can identify direct variations from equations or from ordered pairs. Tell whether 2x 4y 0 is a direct variation. If so, identify the constant of variation. variation.

Related Documents:

SCRIPTURE MASTERY SCRIPTURE MASTERY SCRIPTURE MASTERY SCRIPTURE MASTERY SCRIPTURE MASTERY SCRIPTURE MASTERY SCRIPTURE MASTERY SCRIPTURE MASTERY SCRIPTURE MASTERY Matthew 5:14–16 Let your light so shine. Context In the Sermon on the Mount, Jesus Christ taught His disciples about ho

Chapter 4: Implied Main Ideas Exercise 1 Exercise 2 Mastery Test 1 Mastery Test 2 Mastery Test 3 Alternate Mastery Test 1 . Mastery Test 2 Mastery Test 3 Week 6: College Reading Chapter 7: Inferences Exercise 1 Exercise 2 Mastery Test 1 Mastery Test 2 Mastery Test 3

Bruksanvisning för bilstereo . Bruksanvisning for bilstereo . Instrukcja obsługi samochodowego odtwarzacza stereo . Operating Instructions for Car Stereo . 610-104 . SV . Bruksanvisning i original

10 tips och tricks för att lyckas med ert sap-projekt 20 SAPSANYTT 2/2015 De flesta projektledare känner säkert till Cobb’s paradox. Martin Cobb verkade som CIO för sekretariatet för Treasury Board of Canada 1995 då han ställde frågan

service i Norge och Finland drivs inom ramen för ett enskilt företag (NRK. 1 och Yleisradio), fin ns det i Sverige tre: Ett för tv (Sveriges Television , SVT ), ett för radio (Sveriges Radio , SR ) och ett för utbildnings program (Sveriges Utbildningsradio, UR, vilket till följd av sin begränsade storlek inte återfinns bland de 25 största

Hotell För hotell anges de tre klasserna A/B, C och D. Det betyder att den "normala" standarden C är acceptabel men att motiven för en högre standard är starka. Ljudklass C motsvarar de tidigare normkraven för hotell, ljudklass A/B motsvarar kraven för moderna hotell med hög standard och ljudklass D kan användas vid

LÄS NOGGRANT FÖLJANDE VILLKOR FÖR APPLE DEVELOPER PROGRAM LICENCE . Apple Developer Program License Agreement Syfte Du vill använda Apple-mjukvara (enligt definitionen nedan) för att utveckla en eller flera Applikationer (enligt definitionen nedan) för Apple-märkta produkter. . Applikationer som utvecklas för iOS-produkter, Apple .

och krav. Maskinerna skriver ut upp till fyra tum breda etiketter med direkt termoteknik och termotransferteknik och är lämpliga för en lång rad användningsområden på vertikala marknader. TD-seriens professionella etikettskrivare för . skrivbordet. Brothers nya avancerade 4-tums etikettskrivare för skrivbordet är effektiva och enkla att