Chapter 9 BUILD YOUR VOCABULARY

Size: px
Start display at page:

Download "Chapter 9 BUILD YOUR VOCABULARY"

Transcription

1 C H A P T E R 9 BUILD YUR VCABULARY Chapter 9 This is an alphabetical list of new vocabular terms ou will learn in Chapter 9. As ou complete the stud notes for the chapter, ou will see Build Your Vocabular reminders to complete each term s definition or description on these pages. Remember to add the tetbook page number in the second column for reference when ou stud. Vocabular Term Found on Page Definition Description or Eample arithmetic sequence common difference constant of variation direct variation domain function function table line of fit linear function (continued on the net page) Math Connects, Course 3 221

2 Chapter 9 BUILD YUR VCABULARY Vocabular Term Found on Page Definition Description or Eample range rise run scatter plot sequence slope slope-intercept form sstem of equations sstem of inequalities term -intercept 222 Math Connects, Course 3

3 9 1 Sequences MAIN IDEA Write algebraic epressions to determine an term in an arithmetic sequence. BUILD YUR VCABULARY (pages ) A sequence is an of numbers. Each number in a is called a term. An arithmetic sequence is a sequence in which the the same. between an two consecutive terms is The difference between an two in an sequence is called the common difference. EXAMPLE Identif Arithmetic Sequences State whether the sequence 23, 15, 7, -1, -9,... is arithmetic. If it is, state the common difference. Write the net three terms of the sequence. 23, 15, 7, -1, -9 Notice that = -8, 7-15 = -8, and so on The terms have a common is. Continue the pattern to find the net three terms. -9,,, of -8, so the sequence The net three terms are,, and. Math Connects, Course 3 223

4 9 1 Check Your Progress State whether the sequence 29, 27, 25, 23, 21,... is arithmetic. If it is, state the common difference. Write the net three terms of the sequence. EXAMPLE Describe an Arithmetic Sequence Write an epression that can be used to find the nth term of the sequence 0.6, 1.2, 1.8, 2.4,... Then write the net three terms. Use a table to eample the sequence. Term Number (n) Term The terms have a common difference of 0.6. Also, each term is times its term number. An epression that can be used to find the nth term is. The net three terms are,, and. Check Your Progress Write an epression that can be used to find the nth term of the sequence 1.5, 3, 4.5, 6,... Then write the net three terms. 224 Math Connects, Course 3

5 9 1 EXAMPLE TRANSPRTATIN This arithmetic Miles Cost ($) sequence shows the cost of a tai ride for 1, 2, 3, and 4 miles. What would be the cost of a 9-mile ride? The common difference between the costs is. This implies that the epression for the nth mile is. Compare each cost to the value of for each number of miles. Each cost is 3.50 more than Miles Cost ($) 1.75n. So, the epression is the cost of a tai ride for n miles. To find the cost of a 9-mile ride, let c represent the cost. Then write and solve an equation for n = 9. c = 1.75n Write the equation. HMEWRK ASSIGNMENT Page(s): Eercises: c = Replace n with. c = or Simplif. It would cost for a 9-mile tai ride. Check Your Progress TRANSPRTATIN This arithmetic sequence shows the cost of a tai ride for 1, 2, 3, and 4 miles. What would be the cost of a 15-mile ride? Miles Cost ($) Math Connects, Course 3 225

6 Functions MAIN IDEA Complete function tables. BUILD YUR VCABULARY (pages ) A where one thing another is called a function. EXAMPLE Find a Function Value Find each function value. f (4) if f () = - 8 f () = - 8 Write the function. f ( ) = - 8 Substitute for into the function rule. = Simplif. So, f (4) =. RGANIZE IT In our Foldable, write how ou would find the value of a function. You ma wish to include an eample. f (-6) if f () = f () = Write the function. f ( ) = 3 ( ) + 4 Substitute for into f ( ) = + 4 Multipl. the function rule. = Simplif. So, f (-6) =. Check Your Progress Find each function value. a. f (2) if f () = - 7 b. f (-2) if f () = Math Connects, Course 3

7 9 2 BUILD YUR VCABULARY (pages ) The set of values in a function is called the domain. The set of values in a function is called the range. You can use a function table to organize the input,, and output. EXAMPLE Make a Function Table Complete the function table for f () = 4-1. Then state the domain and the range of the function. Substitute each value of, or, into the function rule. Input Rule 4-1 utput f () Then simplif to find the. f () = 4-1 f (-3) = f (-2) = f (-1) = f (0) = f (1) = or or or or or Input The domain is. 0 1 Rule 4-1 utput f () The range is. Math Connects, Course 3 227

8 9 2 Check Your Progress Complete the function table for f () = 3-2. Then state the domain and the range of the function. Input -3-2 Rule 3-2 utput f () EXAMPLE Functions with Two Variables PARKING FEES The price for parking at a cit lot is $3.00 plus $2.00 per hour. Write a function to represent the price of parking for h hours. Then determine how much would it cost to park at the lot for 2 hours. Words Function p = + Cost of parking equals $3.00 plus $2.00 per hour. HMEWRK ASSIGNMENT Page(s): Eercises: The function p = Substitute p = + p = or It will cost for h into the function rule. to park for 2 hours. represents the situation. Check Your Progress TAXI The price of a tai ride is $5.00 plus $20.00 per hour. Write a function using two variables to represent the price of riding a tai for h hours. Then determine how much would it cost for a 3-hour tai ride. 228 Math Connects, Course 3

9 9 3 Representing Linear Functions EXAMPLE MAIN IDEA Represent linear functions using function tables and graphs. MUSIC During a clearance sale, a music store is selling CDs for $3 and tapes for $1. Graph the function 3 + = 6 to find how man CDs and tapes Bill can bu with $6. First, rewrite the equation b solving for. 3 + = 6 Write the equation = 6 - Subtract from each side. = 6-3 Simplif. Choose values for and substitute them to find. Then graph the ordered pairs. = 6-3 (, ) RGANIZE IT In our Foldable, include a linear function and its graph. 0 = = = He cannot bu negative numbers of CDs or tapes, so the solutions are CDs and tapes, CD and tapes, or CDs and tapes. Check Your Progress BAKE SALE During a bake sale, a plate of brownies is sold for $2 and a plate of cookies is sold for $1. Graph the function 2 + = 4 to find how man plates of brownies and cookies Craig can bu with $4. Math Connects, Course 3 229

10 9 3 EXAMPLE Graph a Function Graph = - 3. Step 1 Choose some values for. Make a function table. Include a column of ordered pairs of the form (, ). - 3 (, ) Step 2 Graph each ordered pair. Draw a line that passes through each point. Note that the ordered pair for an point on this line is a solution of = - 3. The line is the complete graph of the function. Check It appears from the graph that (-1, -4) is also a solution. Check this b substitution. = - 3 Write the function. - 3 Replace and. = Simplif. Check Your Progress Graph = Math Connects, Course 3

11 9 3 BUILD YUR VCABULARY (pages ) A function in which the graph of solutions forms a is called a linear function. EXAMPLE TEST EXAMPLE Which line graphed below best represents the table of values for the ordered pairs (, )? A C B D Read the Item You need to decide which of the four graphs represents the data in the table. Solve the Item The values in the table represent the ordered pairs, graph. Graph, and. Test the ordered pairs with each ordered pairs. The answer is. is the onl graph which contains all these Math Connects, Course 3 231

12 Check Your Progress MULTIPLE CHICE Which line graphed below best represents the table of values for the ordered pairs (, )? 0 3 F H G J HMEWRK ASSIGNMENT Page(s): Eercises: 232 Math Connects, Course 3

13 9 4 Slope MAIN IDEA Find the slope of a line using the slope formula. BUILD YUR VCABULARY (pages ) Slope is the of the rise, or change, to the run, or change. EXAMPLE ACCESS RAMPS The access ramp from the sidewalk to the door of a hotel rises 8 inches for ever horizontal change of 96 inches. What is the slope of the access ramp? slope = Defi nition of slope = rise = inches, run = inches = Simplif. The slope of the access ramp is. Check Your Progress ACCESS RAMPS The access ramp from the sidewalk to the door of an office building rises 14 inches for ever horizontal change of 210 inches. What is the slope of the access ramp? EXAMPLE Find Slope Using a Graph Find the slope of the line. Choose two points on the line. The vertical change is -3 units while the horizontal change is 2 units. X Math Connects, Course 3 233

14 9 4 slope = _ rise run Defi nition of slope = rise =, run = The slope of the line is. Check Your Progress Find the slope of the line EXAMPLE Find Slope Using a Table The points given in the table lie on a line. Find the slope of the line. Then graph the line. change in slope = change in = = The slope is. Check Your Progress The points given in the table below lie on a line. Find the slope of the line. Then graph the line Math Connects, Course 3

15 9 4 EXAMPLE Positive Slope Find the slope of the line that passes through A (3, 3) and B (2, 0). m = Defi nition of slope 1 m = _ 0-3 ( 1, 1 ) = (3, 3) 2-3 ( 2, 2 ) = (2, 0) m = _ 3 or 3 Simplif. 1 A(3, 3) B(2, 0) EXAMPLE Negative Slope Find the slope of the line that passes through X (-2, 3) and Y (3, 0). m = Defi nition of slope m = ( 1, 1 ) = (-2, 3) m = _ -3 5 or - 3_ 5 ( 2, 2 ) = (3, 0) Simplif. HMEWRK ASSIGNMENT Page(s): Eercises: Check Your Progress Find the slope of the line that passes through each pair of points. a. A(4, 3) and B(1, 0) b. X(-3, 3) and Y(1, 0) Math Connects, Course 3 235

16 9 5 Direct Variation MAIN IDEA Use direct variation to solve problems. BUILD YUR VCABULARY (pages ) When two variable quantities have a, their relationship is called a direct variation. The constant is called the constant variation. EXAMPLE Find a Constant Ratio EARNINGS The amount of mone Serena earns at her job varies directl as the number of hours she works. Determine the amount Serena earns per hour. Since the graph of the data forms a line, the rate of change. Use the graph to find. amount earned hours worked Serena earns. Check Your Progress EARNINGS The amount of mone Elizabeth earns at her job varies directl as the number of hours she works. Determine the amount Elizabeth earns per hour. Dollars Earned Time (hours) 236 Math Connects, Course 3

17 9 5 KEY CNCEPT In a direct variation, the ratio of to is constant. This can be stated as varies directl with. A direct variation can be represented algebraicall as k = _ or = k where k 0. EXAMPLE Solve a Direct Variation SHPPING The total cost for cans of soup varies directl as the number of cans purchased. If 4 cans of soup cost $5, how much would it cost to bu 8 cans? METHD 1 Use an equation. Write an equation of direct variation. Let represent the number of cans and let represent the cost. = k Direct variation = k =, = 1.25 = k Simplif. = Substitute for. Use the equation to find when = 8. = 1.25 = 1.25 = = Multipl. METHD 2 Use a proportion. cans cost It would cost 4_ 5 = 8 _ cans cost = Find the cross products. 4 = 40 _ 4 4 = _ 40 4 = to bu 8 cans. Multipl. Divide each side b 4. Simplif. Check Your Progress SHPPING A grocer store sells 6 apples for $2.70. How much would it cost to bu 10 apples? Math Connects, Course 3 237

18 9 5 EXAMPLES Identif Direct Variation Determine whether each linear function is a direct variation. If so, state the constant of variation. Das, Hours worked, Compare the ratios to check for a common ratio. _ hours das The ratios are, so the function is. Hours, Miles, Compare the ratios to check for a common ratio. _ miles hours HMEWRK ASSIGNMENT Page(s): Eercises: Since the ratios are, the function is a direct variation. The constant of variation is. Check Your Progress Determine whether the linear function is a direct variation. If so, state the constant of variation. a. b. Das, Hours worked, Hours, Miles, Math Connects, Course 3

19 9 6 Slope-Intercept Form MAIN IDEA Graph linear equations using the slope and -intercept. BUILD YUR VCABULARY (pages ) Slope-intercept form is when an equation is written in the form, where m is the and b is the -intercept. EXAMPLES Find the Slopes and -intercepts of Graphs State the slope and the -intercept of the graph of each equation. = 3 _ 4-5 = 3 _ 4 + ( ) Write the equation in the form = m + b. = m + b m = 3 _ 4, b = The slope of the graph is is. 2 + = = 8, and the -intercept Write the original equation. - - Subtract from each side. = = Simplif. Write the equation in the form = m + b. = m + b m =, b = The slope of the graph is and the -intercept is. Math Connects, Course 3 239

20 9 6 Check Your Progress State the slope and the -intercept of the graph of each equation. a. = 1_ - 2 b. 3 + = 5 4 EXAMPLE Graph an Equation Graph = _ using the slope and -intercept. 3 Step 1 Find the slope and -intercept. = 2_ slope = 2_ 3 -intercept = 2 Step 2 Graph the -intercept. Step 3 Use the slope to locate a second point on the line. HMEWRK ASSIGNMENT Page(s): Eercises: m = 2_ 3 change in : up 2 units change in : right 3 units Step 4 Draw a line through the two points. Check Your Progress Graph = 1_ + 3 using the slope 3 and -intercept. 240 Math Connects, Course 3

21 9 7 Sstems of Equations MAIN IDEA Solve sstems of equations b graphing. BUILD YUR VCABULARY (pages ) A sstem of equations consists of two two. and EXAMPLE ne Solution Solve the sstem = 3-2 and = + 1 b graphing. Graph each equation on the same coordinate plane The graphs appear to intersect at. Check in both equations b replacing with and with. Check = 3-2 = = = 2.5 The solution of the sstem is (1.5, 2.5). Math Connects, Course 3 241

22 9 7 EXAMPLE No Solution Solve the sstem = 2-1 and = b graphing The graphs appear to be lines. Since there is no coordinate point that is a solution of both questions, there is for the sstem of equations. EXAMPLE Infinitel Man Solutions Solve the sstem = 3-2 and - 2 = - 2 b graphing. Write - 2 = - 2 in slope-intercept form. - 2 = - 2 Write the equation = Add to both sides. = - Simplif The solution of the sstem is all pairs of the on the line = Math Connects, Course 3

23 9 7 Check Your Progress Solve each sstem of equations b graphing. a. = - 4 and = 2-6 b. = -3-2 and = c. = 2-5 and + 2 = 2-3 Math Connects, Course 3 243

24 9 8 Problem-Solving Investigation: Use a Graph MAIN IDEA Solve problems b using a graph. EXAMPLE Use a Graph The graph shows how man boes of cookies were sold b five students for a school fundraiser. How man boes did the students sell altogether? UNDERSTAND The graph shows ou how man boes were sold b each of five students. You want to know the total number of boes sold b the students. PLAN Use the graph to add the numbers of boes sold. SLVE = The students sold altogether. HMEWRK ASSIGNMENT Page(s): Eercises: CHECK Look at the numbers at the top of each bar. Double check our sum. Check Your Progress PETS The graph shows how man dogs Edmond walked each da this week. How man dogs did he walk altogether during the week? 244 Math Connects, Course 3

25 9 9 Scatter Plots MAIN IDEA Construct and interpret scatter plots. BUILD YUR VCABULARY (pages ) A scatter plot is a graph that shows the between sets of data. A line of fit is a line that is ver close to of the data points in a scatter plot. EXAMPLES Identif a Relationship Eplain whether the scatter plot of the data for each of the following shows a positive, negative, or no relationship. cups of hot chocolate sold at a concession stand and the outside temperature As the temperature decreases, the number of cups of hot chocolate sold. Therefore, the scatter plot might show a relationship. birthda and number of sports plaed The number of sports plaed does not depend on our birthda. Therefore, the scatter plot shows relationship. Check Your Progress Determine whether a scatter plot of the data for the following might show a positive, negative, or no relationship. a. number of cups of lemonade sold at a concession stand and the outside temperature b. age and the color of our hair Math Connects, Course 3 245

26 9 9 EXAMPLES Line of Fit ZS The table at the right shows the average and maimum longevit of various animals in captivit. Make a scatter plot using the data. Then draw a line that best seems to represent the data. Maimum Animal Longevit (Years) Average Longevit (ears) Average Maimum Source: Walker s Mammals of the World Write an equation for this line of fit. The line passes through points at and. Use these points to find the slope of the line. m = Defi nition of slope m = ( 1, 1 ) =, ( 2, 2 ) = m = Simplif. The slope is, and the -intercept is. Use the slope and the -intercept to write the equation. = m + b Slope-intercept form = + m =, b = The equation for the line of fit is. 246 Math Connects, Course 3

27 9 9 Use the equation to predict the maimum longevit for an animal with an average longevit of 33 ears. = _ Equation for the line of fi t 2 = _ or 2 The maimum longevit is about. Check Your Progress The table shows the average hourl earnings of production workers since a. Make a scatter plot using Production Workers Earnings the data. Year Since Average Hourl b. Write an equation for the 2000 Earnings best-fit line using points (0, 11.43) and (5, 13.76). 0 $11.43 c. Use the equation to predict the average hourl earnings of production workers in $ $ $ $ $ $14.32 HMEWRK ASSIGNMENT Page(s): Eercises: Hourl Earnings (dollars) Production Workers Average Hourl Earnings Years Since 2000 Math Connects, Course 3 247

28 C H A P T E R 9 BRINGING IT ALL TGETHER STUDY GUIDE VCABULARY PUZZLEMAKER BUILD YUR VCABULARY Use our Chapter 9 Foldable to help ou stud for our chapter test. To make a crossword puzzle, word search, or jumble puzzle of the vocabular words in Chapter 9, go to: glencoe.com You can use our completed Vocabular Builder (pages ) to help ou solve the puzzle. 9-1 Sequences State whether each sequence is arithmetic. Write es or no. If it is, state the common difference. Write the net three terms of the sequence. 1. 3, 7, 11, 15, 19, , -15, 45, -135, 405, , -1, -7, -13, -19, _, 3, 1 1_, 0, -1 1_ 2 2 2, Functions Match each description with the word it describes. 5. an output value of a function 6. the set of values of the dependent variable 7. the underlined letter in f () = Complete the function table for f = Then give the domain and range. Domain: Range: a. independent variable b. dependent variable c. domain d. range f () Math Connects, Course 3

29 Chapter 9 BRINGING IT ALL TGETHER 9-3 Representing Linear Functions 9. Complete the function table. Then graph = (,) Slope Find the slope of the line that passes through each pair of points. 10. A (1, -2), B (4, 4) 11. C (1, 2), D (3, -2) 12. E (-1, 2), F (2, 2) 9-5 Direct Variation Determine whether each linear function is a direct variation. If so, state the constant of variation. 13. hours, wages, $6 $12 $18 $ hours, miles, length, width, minutes, pages, Math Connects, Course 3 249

30 Chapter 9 BRINGING IT ALL TGETHER 9-6 Slope-Intercept Form State the slope and the -intercept for the graph of each equation. 17. = = 2_ _ = Sstems of Equations 20. Solve the sstem = 2-4 and = b graphing. 21. Solve the sstem = 4-4 and = b graphing. 250 Math Connects, Course 3

31 Chapter 9 BRINGING IT ALL TGETHER 9-8 Problem-Solving Investigation: Use a Graph 22. SHPPING The Bu nline Compan charges $1.50 per pound plus $2 for shipping and handling. The Best Catalog Compan charges $1 per pound plus $5 for shipping and handling. Use a graph to determine the weight at which the shipping and handling will be the same for both companies. Shipping and Handling Weight 9-9 Scatter Plots 23. Complete. A scatter plot that shows a negative relationship will have a pattern of data points that go. Write whether a scatter plot of the data for the following might show a positive, negative, or no relationship. 24. favorite color and tpe of pet Math Connects, Course 3 251

32 C H A P T E R 9 Checklist ARE YU READY FR THE CHAPTER TEST? Check the one that applies. Suggestions to help ou stud are given with each item. Visit glencoe.com to access our tetbook, more eamples, self-check quizzes, and practice tests to help ou stud the concepts in Chapter 9. I completed the review of all or most lessons without using m notes or asking for help. You are probabl read for the Chapter Test. You ma want to take the Chapter 9 Practice Test on page 523 of our tetbook as a final check. I used m Foldable or Stud Notebook to complete the review of all or most lessons. You should complete the Chapter 9 Stud Guide and Review on pages of our tetbook. If ou are unsure of an concepts or skills, refer to the specific lesson(s). You ma also want to take the Chapter 9 Practice Test on page 523. I asked for help from someone else to complete the review of all or most lessons. You should review the eamples and concepts in our Stud Notebook and Chapter 9 Foldable. Then complete the Chapter 9 Stud Guide and Review on pages of our tetbook. If ou are unsure of an concepts or skills, refer to the specific lesson(s). You ma also want to take the Chapter 9 Practice Test on page 523. Student Signature Parent/Guardian Signature Teacher Signature 252 Math Connects, Course 3

Systems of Linear Inequalities

Systems of Linear Inequalities . Sstems of Linear Inequalities sstem of linear inequalities? How can ou sketch the graph of a ACTIVITY: Graphing Linear Inequalities Work with a partner. Match the linear inequalit with its graph. + Inequalit

More information

ACTIVITY: Using a Table to Plot Points

ACTIVITY: Using a Table to Plot Points .5 Graphing Linear Equations in Standard Form equation a + b = c? How can ou describe the graph of the ACTIVITY: Using a Table to Plot Points Work with a partner. You sold a total of $6 worth of tickets

More information

Solving Systems of Linear Equations by Graphing. ESSENTIAL QUESTION How can you solve a system of equations by graphing? 8.9 Slope-intercept form

Solving Systems of Linear Equations by Graphing. ESSENTIAL QUESTION How can you solve a system of equations by graphing? 8.9 Slope-intercept form ? LESSN. Solving Sstems of Linear Equations b Graphing ESSENTIAL QUESTIN How can ou solve a sstem of equations b graphing? Epressions, equations, and relationships.9 Identif and verif the values of and

More information

What You ll Learn Identify direct variation. Use direct variation to solve problems.

What You ll Learn Identify direct variation. Use direct variation to solve problems. AM_S_C_L_3.indd Page // 3: PM s-user /Volumes//GO/CORE_READING/TENNESSEE/ANCILLARY... Proportionalit and Linear Relationships Teach the Concept Lesson - Direct Variation Interactive Stud Guide See pages

More information

NAME DATE PERIOD. Study Guide and Intervention. Ax + By = C, where A 0, A and B are not both zero, and A, B, and C are integers with GCF of 1.

NAME DATE PERIOD. Study Guide and Intervention. Ax + By = C, where A 0, A and B are not both zero, and A, B, and C are integers with GCF of 1. NAME DATE PERID 3-1 Stud Guide and Intervention Graphing Linear Equations Identif Linear Equations and Intercepts A linear equation is an equation that can be written in the form A + B = C. This is called

More information

Fair Game Review. Chapter 2. and y = 5. Evaluate the expression when x = xy 2. 4x. Evaluate the expression when a = 9 and b = 4.

Fair Game Review. Chapter 2. and y = 5. Evaluate the expression when x = xy 2. 4x. Evaluate the expression when a = 9 and b = 4. Name Date Chapter Fair Game Review Evaluate the epression when = and =.... 0 +. 8( ) Evaluate the epression when a = 9 and b =.. ab. a ( b + ) 7. b b 7 8. 7b + ( ab ) 9. You go to the movies with five

More information

Can a system of linear equations have no solution? Can a system of linear equations have many solutions?

Can a system of linear equations have no solution? Can a system of linear equations have many solutions? 5. Solving Special Sstems of Linear Equations Can a sstem of linear equations have no solution? Can a sstem of linear equations have man solutions? ACTIVITY: Writing a Sstem of Linear Equations Work with

More information

c. Find the slope and y-intercept of the graph of the linear equation. Then sketch its graph.

c. Find the slope and y-intercept of the graph of the linear equation. Then sketch its graph. Name Solve. End-of-Course. 7 =. 5 c =. One cell phone plan charges $0 per month plus $0.5 per minute used. A second cell phone plan charges $5 per month plus $0.0 per minute used. Write and solve an equation

More information

Ready To Go On? Skills Intervention 5-1 Using Transformations to Graph Quadratic Functions

Ready To Go On? Skills Intervention 5-1 Using Transformations to Graph Quadratic Functions Read To Go On? Skills Intervention 5-1 Using Transformations to Graph Quadratic Functions Find these vocabular words in Lesson 5-1 and the Multilingual Glossar. Vocabular quadratic function parabola verte

More information

Name Date PD. Systems of Equations and Inequalities

Name Date PD. Systems of Equations and Inequalities Name Date PD Sstems of Equations and Inequalities Sstems of Equations Vocabular: A sstem of linear equations is A solution of a sstem of linear equations is Points of Intersection (POI) are the same thing

More information

Ready To Go On? Skills Intervention 2-1 Solving Linear Equations and Inequalities

Ready To Go On? Skills Intervention 2-1 Solving Linear Equations and Inequalities A Read To Go n? Skills Intervention -1 Solving Linear Equations and Inequalities Find these vocabular words in Lesson -1 and the Multilingual Glossar. Vocabular equation solution of an equation linear

More information

THIS IS A CLASS SET - DO NOT WRITE ON THIS PAPER

THIS IS A CLASS SET - DO NOT WRITE ON THIS PAPER THIS IS A CLASS SET - DO NOT WRITE ON THIS PAPER ALGEBRA EOC PRACTICE Which situation can be represented b =? A The number of eggs,, in dozen eggs for sale after dozen eggs are sold B The cost,, of buing

More information

Solving Systems Using Tables and Graphs

Solving Systems Using Tables and Graphs 3-1 Solving Sstems Using Tables and Graphs Vocabular Review 1. Cross out the equation that is NOT in slope-intercept form. 1 5 7 r 5 s a 5!3b 1 5 3 1 7 5 13 Vocabular Builder linear sstem (noun) LIN ee

More information

b(n) = 4n, where n represents the number of students in the class. What is the independent

b(n) = 4n, where n represents the number of students in the class. What is the independent Which situation can be represented b =? A The number of eggs,, in dozen eggs for sale after dozen eggs are sold B The cost,, of buing movie tickets that sell for $ each C The cost,, after a $ discount,

More information

8.4. If we let x denote the number of gallons pumped, then the price y in dollars can $ $1.70 $ $1.70 $ $1.70 $ $1.

8.4. If we let x denote the number of gallons pumped, then the price y in dollars can $ $1.70 $ $1.70 $ $1.70 $ $1. 8.4 An Introduction to Functions: Linear Functions, Applications, and Models We often describe one quantit in terms of another; for eample, the growth of a plant is related to the amount of light it receives,

More information

Solve each system by graphing. Check your solution. y =-3x x + y = 5 y =-7

Solve each system by graphing. Check your solution. y =-3x x + y = 5 y =-7 Practice Solving Sstems b Graphing Solve each sstem b graphing. Check our solution. 1. =- + 3 = - (1, ). = 1 - (, 1) =-3 + 5 3. = 3 + + = 1 (, 3). =-5 = - 7. = 3-5 3 - = 0 (1, 5) 5. -3 + = 5 =-7 (, 7).

More information

Essential Question How can you solve a system of linear equations? $15 per night. Cost, C (in dollars) $75 per Number of. Revenue, R (in dollars)

Essential Question How can you solve a system of linear equations? $15 per night. Cost, C (in dollars) $75 per Number of. Revenue, R (in dollars) 5.1 Solving Sstems of Linear Equations b Graphing Essential Question How can ou solve a sstem of linear equations? Writing a Sstem of Linear Equations Work with a partner. Your famil opens a bed-and-breakfast.

More information

Fair Game Review. Chapter = How many calculators are sold when the profit is $425? Solve the equation. Check your solution.

Fair Game Review. Chapter = How many calculators are sold when the profit is $425? Solve the equation. Check your solution. Name Date Chapter 4 Fair Game Review Solve the equation. Check our solution.. 8 3 = 3 2. 4a + a = 2 3. 9 = 4( 3k 4) 7k 4. ( m) 2 5 6 2 = 8 5. 5 t + 8t = 3 6. 3 5h 2 h + 4 = 0 2 7. The profit P (in dollars)

More information

REVIEW PACKET FOR END OF COURSE EXAM

REVIEW PACKET FOR END OF COURSE EXAM Math H REVIEW PACKET FOR END OF COURSE EXAM DO NOT WRITE ON PACKET! Do on binder paper, show support work. On this packet leave all fractional answers in improper fractional form (ecept where appropriate

More information

Algebra 1 Honors First Semester Review

Algebra 1 Honors First Semester Review Permitted resources: Algebra 1 Honors First Semester Review TI-108 (or similar basic four function calculator) Algebra 1 and Geometr EOC Reference Sheet 4. Identif the mapping diagram that represents the

More information

x. 4. 2x 10 4x. 10 x

x. 4. 2x 10 4x. 10 x CCGPS UNIT Semester 1 COORDINATE ALGEBRA Page 1 of Reasoning with Equations and Quantities Name: Date: Understand solving equations as a process of reasoning and eplain the reasoning MCC9-1.A.REI.1 Eplain

More information

( 3x. Chapter Review. Review Key Vocabulary. Review Examples and Exercises 6.1 Properties of Square Roots (pp )

( 3x. Chapter Review. Review Key Vocabulary. Review Examples and Exercises 6.1 Properties of Square Roots (pp ) 6 Chapter Review Review Ke Vocabular closed, p. 266 nth root, p. 278 eponential function, p. 286 eponential growth, p. 296 eponential growth function, p. 296 compound interest, p. 297 Vocabular Help eponential

More information

Skills Practice Skills Practice for Lesson 5.1

Skills Practice Skills Practice for Lesson 5.1 Skills Practice Skills Practice for Lesson. Name Date Widgets, Dumbbells, and Dumpsters Multiple Representations of Linear Functions Vocabular Write the term that best completes each statement.. A(n) is

More information

Section 3.1 Solving Linear Systems by Graphing

Section 3.1 Solving Linear Systems by Graphing Section 3.1 Solving Linear Sstems b Graphing Name: Period: Objective(s): Solve a sstem of linear equations in two variables using graphing. Essential Question: Eplain how to tell from a graph of a sstem

More information

Chapter Start Thinking! For use before Activity 6.1. For use before Activity Start Thinking! For use before Lesson

Chapter Start Thinking! For use before Activity 6.1. For use before Activity Start Thinking! For use before Lesson . Enrichment and Etension. a =, b =. a =, b =. a =, b =. a =, b =. a =, b is an number ecept.. a =, b =. a =, b =. a =, b =. Check students work.. Puzzle PAY HIM Etension. Start Thinking! For use before

More information

Ready To Go On? Skills Intervention 12-1 Inverse Variation

Ready To Go On? Skills Intervention 12-1 Inverse Variation 12A Find this vocabular word in Lesson 12-1 and the Multilingual Glossar. Identifing Inverse Variation Tell whether the relationship is an inverse variation. Eplain. A. Read To Go On? Skills Intervention

More information

Chapter 6 BUILD YOUR VOCABULARY

Chapter 6 BUILD YOUR VOCABULARY C H A P T E R 6 BUILD YOUR VOCABULARY This is an alphabetical list of new vocabulary terms you will learn in Chapter 6. As you complete the study notes for the chapter, you will see Build Your Vocabulary

More information

1.7 Inverse Functions

1.7 Inverse Functions 71_0107.qd 1/7/0 10: AM Page 17 Section 1.7 Inverse Functions 17 1.7 Inverse Functions Inverse Functions Recall from Section 1. that a function can be represented b a set of ordered pairs. For instance,

More information

Name Date. and y = 5.

Name Date. and y = 5. Name Date Chapter Fair Game Review Evaluate the epression when = and =.... 0 +. 8( ) Evaluate the epression when a = 9 and b =.. ab. a ( b + ) 7. b b 7 8. 7b + ( ab ) 9. You go to the movies with five

More information

Chapter 5: Systems of Equations

Chapter 5: Systems of Equations Chapter : Sstems of Equations Section.: Sstems in Two Variables... 0 Section. Eercises... 9 Section.: Sstems in Three Variables... Section. Eercises... Section.: Linear Inequalities... Section.: Eercises.

More information

Algebra I. Administered May 2014 RELEASED

Algebra I. Administered May 2014 RELEASED STAAR State of Teas Assessments of Academic Readiness Algebra I Administered Ma 0 RELEASED Copright 0, Teas Education Agenc. All rights reserved. Reproduction of all or portions of this work is prohibited

More information

TOPIC 1 Domain and Range

TOPIC 1 Domain and Range TOPIC 1 Domain and Range NEED HELP? Tr this... Determine the Domain and Range for each of the following: 1. {(3, 4), (-5, -2), (7, 6), (6, 5), (-8, 6)} 2. 3. 4. The DeWind famil lives in a rectangular

More information

Proportional Relationships. How can you use proportional relationships to solve real-world problems?

Proportional Relationships. How can you use proportional relationships to solve real-world problems? ? UNIT Stud Guide Review MDULE 313131313131313 ESSENTIAL QUESTIN Proportional Relationships How can ou use proportional relationships to solve real-world problems? EXAMPLE 1 Ke Vocabular constant of proportionalit

More information

Key Focus #6 - Finding the Slope of a Line Between Two Points.

Key Focus #6 - Finding the Slope of a Line Between Two Points. Ke Focus #6 - Finding the Slope of a Line Between Two Points. Given the following equations of lines, find the SLOPES of the lines: = + 6... + 8 = 7 9 - = 7 - - 9 = 4.. 6. = 9-8 - = + 7 = 4-9 7. 8. 9..

More information

Systems of Linear Equations: Solving by Graphing

Systems of Linear Equations: Solving by Graphing 8.1 Sstems of Linear Equations: Solving b Graphing 8.1 OBJECTIVE 1. Find the solution(s) for a set of linear equations b graphing NOTE There is no other ordered pair that satisfies both equations. From

More information

TOPIC ESSENTIAL QUESTION

TOPIC ESSENTIAL QUESTION TOPIC Topic Review TOPIC ESSENTIAL QUESTION 1. How can linear functions be used to model situations and solve problems? Vocabular Review Choose the correct term to complete each sentence.. When tends to

More information

Algebra I. Administered May 2013 RELEASED

Algebra I. Administered May 2013 RELEASED STAAR State of Teas Assessments of Academic Readiness Algebra I Administered Ma 0 RELEASED Copright 0, Teas Education Agenc. All rights reserved. Reproduction of all or portions of this work is prohibited

More information

A calculator may be used on the exam.

A calculator may be used on the exam. The Algebra Semester A eamination has the following tpes of questions: Selected Response Student Produced Response (Grid-in) Brief Constructed Response (BCR) Etended Constructed Response (ECR) Short Answer

More information

CONSUMER CHOICES Madison is thinking about leasing a car for. Example 1 Solve the system of equations by graphing.

CONSUMER CHOICES Madison is thinking about leasing a car for. Example 1 Solve the system of equations by graphing. 2-1 BJECTIVES Solve sstems of equations graphicall. Solve sstems of equations algebraicall. Solving Sstems of Equations in Two Variables CNSUMER CHICES Madison is thinking about leasing a car for two ears.

More information

Analytic Geometry 300 UNIT 9 ANALYTIC GEOMETRY. An air traffi c controller uses algebra and geometry to help airplanes get from one point to another.

Analytic Geometry 300 UNIT 9 ANALYTIC GEOMETRY. An air traffi c controller uses algebra and geometry to help airplanes get from one point to another. UNIT 9 Analtic Geometr An air traffi c controller uses algebra and geometr to help airplanes get from one point to another. 00 UNIT 9 ANALYTIC GEOMETRY Copright 00, K Inc. All rights reserved. This material

More information

ACTIVITY: Comparing Types of Decay

ACTIVITY: Comparing Types of Decay 6.6 Eponential Deca eponential deca? What are the characteristics of 1 ACTIVITY: Comparing Tpes of Deca Work with a partner. Describe the pattern of deca for each sequence and graph. Which of the patterns

More information

Algebra 1 CP Semester Exam Review

Algebra 1 CP Semester Exam Review Name: Hr: Algebra CP Semester Eam Review GET ORGANIZED. Successful studing begins with being organized. Bring this packet with ou to class ever da. DO NOT FALL BEHIND. Do the problems that are assigned

More information

LESSON #11 - FORMS OF A LINE COMMON CORE ALGEBRA II

LESSON #11 - FORMS OF A LINE COMMON CORE ALGEBRA II LESSON # - FORMS OF A LINE COMMON CORE ALGEBRA II Linear functions come in a variet of forms. The two shown below have been introduced in Common Core Algebra I and Common Core Geometr. TWO COMMON FORMS

More information

2. Domain: The set of all abscissas (x s) of the ordered pairs (abscissa is the first element of an ordered pair)

2. Domain: The set of all abscissas (x s) of the ordered pairs (abscissa is the first element of an ordered pair) . Relations and Functions. Relation: A set of ordered pairs E:,4,,5,,, 8,4. The set of all abscissas s of the ordered pairs abscissa is the first element of an ordered pair. Range: The set of all ordinates

More information

ACCELERATED MATHEMATICS CHAPTER 7 NON-PROPORTIONAL LINEAR RELATIONSHIPS TOPICS COVERED:

ACCELERATED MATHEMATICS CHAPTER 7 NON-PROPORTIONAL LINEAR RELATIONSHIPS TOPICS COVERED: ACCELERATED MATHEMATICS CHAPTER 7 NON-PROPORTIONAL LINEAR RELATIONSHIPS TOPICS COVERED: Representing Linear Non-Proportional Equations Slope & -Intercept Graphing Using Slope & -Intercept Proportional

More information

Algebra Final Exam Review Semester 1

Algebra Final Exam Review Semester 1 Name: Hour: Algebra Final Exam Review Semester. Evaluate: when (P98 #7) 6. TOLL ROADS A toll road charges trucks a toll of $ per axle. Write an expression for the total toll for a truck. (P #6). DVD STORAGE

More information

How can you construct and interpret a scatter plot? ACTIVITY: Constructing a Scatter Plot

How can you construct and interpret a scatter plot? ACTIVITY: Constructing a Scatter Plot 9. Scatter Plots How can ou construct and interpret a scatter plot? ACTIVITY: Constructing a Scatter Plot Work with a partner. The weights (in ounces) and circumferences C (in inches) of several sports

More information

6-1 Study Guide and Intervention

6-1 Study Guide and Intervention NAME DATE PERID 6- Stud Guide and Intervention Graphing Sstems of Equations Possible Number of Solutions Two or more linear equations involving the same variables form a sstem of equations. A solution

More information

1Write and graph. 2Solve problems. Now. Then. Why? New Vocabulary

1Write and graph. 2Solve problems. Now. Then. Why? New Vocabulary Direct Variation Then You found rates of change of linear functions. (Lesson -) Now Write and graph direct variation equations. Solve problems involving direct variation. Wh? Bianca is saving her mone

More information

Practice A ( 1, 3 ( 0, 1. Match the function with its graph. 3 x. Explain how the graph of g can be obtained from the graph of f. 5 x.

Practice A ( 1, 3 ( 0, 1. Match the function with its graph. 3 x. Explain how the graph of g can be obtained from the graph of f. 5 x. 8. Practice A For use with pages 65 7 Match the function with its graph.. f. f.. f 5. f 6. f f Lesson 8. A. B. C. (, 6) (0, ) (, ) (0, ) ( 0, ) (, ) D. E. F. (0, ) (, 6) ( 0, ) (, ) (, ) (0, ) Eplain how

More information

Algebra Semester 1 Final Exam Review Name: Hour: Date:

Algebra Semester 1 Final Exam Review Name: Hour: Date: Algebra Semester Final Exam Review Name: Hour: Date: CHAPTER Learning Target: I can appl the order of operations to evaluate expressions. Simplif the following expressions (combine like terms). x + x +

More information

Identify the domain and the range of the relation from the graph. 8)

Identify the domain and the range of the relation from the graph. 8) INTERMEDIATE ALGEBRA REVIEW FOR TEST Use the given conditions to write an equation for the line. 1) a) Passing through (, -) and parallel to = - +. b) Passing through (, 7) and parallel to - 3 = 10 c)

More information

Algebra I. Relations and Functions. Slide 1 / 113 Slide 2 / 113. Slide 3 / 113. Slide 4 / 113. Slide 6 / 113. Slide 5 / 113.

Algebra I. Relations and Functions. Slide 1 / 113 Slide 2 / 113. Slide 3 / 113. Slide 4 / 113. Slide 6 / 113. Slide 5 / 113. Slide 1 / 11 Slide 2 / 11 Algebra I Functions 2015-11-02 www.njctl.org Slide / 11 Slide / 11 Table of Contents click on the topic to go to that section Relations and Functions Domain and Range Relations

More information

Essential Question How can you use a quadratic function to model a real-life situation?

Essential Question How can you use a quadratic function to model a real-life situation? 3. TEXAS ESSENTIAL KNOWLEDGE AND SKILLS A..A A..E A..A A..B A..C Modeling with Quadratic Functions Essential Question How can ou use a quadratic function to model a real-life situation? Work with a partner.

More information

LESSON #12 - FORMS OF A LINE COMMON CORE ALGEBRA II

LESSON #12 - FORMS OF A LINE COMMON CORE ALGEBRA II LESSON # - FORMS OF A LINE COMMON CORE ALGEBRA II Linear functions come in a variet of forms. The two shown below have been introduced in Common Core Algebra I and Common Core Geometr. TWO COMMON FORMS

More information

Functions. Essential Question What is a function?

Functions. Essential Question What is a function? 3. Functions COMMON CORE Learning Standard HSF-IF.A. Essential Question What is a function? A relation pairs inputs with outputs. When a relation is given as ordered pairs, the -coordinates are inputs

More information

Functions. Essential Question What is a function? Work with a partner. Functions can be described in many ways.

Functions. Essential Question What is a function? Work with a partner. Functions can be described in many ways. . Functions Essential Question What is a function? A relation pairs inputs with outputs. When a relation is given as ordered pairs, the -coordinates are inputs and the -coordinates are outputs. A relation

More information

Writing Equations in Point-Slope Form

Writing Equations in Point-Slope Form . Writing Equations in Point-Slope Form Essential Question How can ou write an equation of a line when ou are given the slope and a point on the line? Writing Equations of Lines Work with a partner. Sketch

More information

Essential Question: How can you compare linear functions that are represented in different ways? Explore Comparing Properties of Linear Functions

Essential Question: How can you compare linear functions that are represented in different ways? Explore Comparing Properties of Linear Functions Locker LESSON 6.5 Comparing Properties of Linear Functions Common Core Math Standards The student is epected to: F-IF.9 Compare properties of two functions each represented in a different wa (algebraicall,

More information

Solving Systems of Linear Equations

Solving Systems of Linear Equations 5 Solving Sstems of Linear Equations 5. Solving Sstems of Linear Equations b Graphing 5. Solving Sstems of Linear Equations b Substitution 5.3 Solving Sstems of Linear Equations b Elimination 5. Solving

More information

74 Maths Quest 10 for Victoria

74 Maths Quest 10 for Victoria Linear graphs Maria is working in the kitchen making some high energ biscuits using peanuts and chocolate chips. She wants to make less than g of biscuits but wants the biscuits to contain at least 8 g

More information

3.1 Graph Quadratic Functions

3.1 Graph Quadratic Functions 3. Graph Quadratic Functions in Standard Form Georgia Performance Standard(s) MMA3b, MMA3c Goal p Use intervals of increase and decrease to understand average rates of change of quadratic functions. Your

More information

The semester A examination for Bridge to Algebra 2 consists of two parts. Part 1 is selected response; Part 2 is short answer.

The semester A examination for Bridge to Algebra 2 consists of two parts. Part 1 is selected response; Part 2 is short answer. The semester A eamination for Bridge to Algebra 2 consists of two parts. Part 1 is selected response; Part 2 is short answer. Students ma use a calculator. If a calculator is used to find points on a graph,

More information

N5 R1.1 Linear Equations - Revision

N5 R1.1 Linear Equations - Revision N5 R Linear Equations - Revision This revision pack covers the skills at Unit Assessment and eam level for Linear Equations so ou can evaluate our learning of this outcome. It is important that ou prepare

More information

3.2 Understanding Relations and Functions-NOTES

3.2 Understanding Relations and Functions-NOTES Name Class Date. Understanding Relations and Functions-NOTES Essential Question: How do ou represent relations and functions? Eplore A1.1.A decide whether relations represented verball, tabularl, graphicall,

More information

3-1. Solving Systems Using Tables and Graphs. Concept Summary. Graphical Solutions of Linear Systems VOCABULARY TEKS FOCUS ESSENTIAL UNDERSTANDING

3-1. Solving Systems Using Tables and Graphs. Concept Summary. Graphical Solutions of Linear Systems VOCABULARY TEKS FOCUS ESSENTIAL UNDERSTANDING 3- Solving Sstems Using Tables and Graphs TEKS FOCUS VOCABULARY Foundational to TEKS (3)(A) Formulate sstems of equations, including sstems consisting of three linear equations in three variables and sstems

More information

Chapter Review. Review Key Vocabulary. Review Examples and Exercises. 4.1 Graphing Linear Equations (pp ) Graph y = 3x 1.

Chapter Review. Review Key Vocabulary. Review Examples and Exercises. 4.1 Graphing Linear Equations (pp ) Graph y = 3x 1. Chapter Review Review Ke Vocabular linear equation p. solution of a linear equation, p., p. 0 rise, p. 0 run, p. 0 Vocabular Help x-intercept, p. 8 -intercept, p. 8 -intercept form, p. 8 standard form,

More information

DMA 50 Worksheet #1 Introduction to Graphs: Analyzing, Interpreting, and Creating Graphs

DMA 50 Worksheet #1 Introduction to Graphs: Analyzing, Interpreting, and Creating Graphs DMA 0 Worksheet #1 Introduction to Graphs: Analzing, Interpreting, and Creating Graphs A graph will be given followed b a set of questions to answer. Show our work. The bar graph below shows the number

More information

Comparing Linear and Nonlinear Functions 5.5. ACTIVITY: Finding Patterns for Similar Figures. How can you recognize when a pattern

Comparing Linear and Nonlinear Functions 5.5. ACTIVITY: Finding Patterns for Similar Figures. How can you recognize when a pattern 5.5 Comparing Linear and Nonlinear Functions in real life is linear or nonlinear? How can ou recognize when a pattern ACTIVITY: Finding Patterns for Similar Figures Work with a partner. Cop and complete

More information

Algebra I STAAR Practice Test A

Algebra I STAAR Practice Test A Algebra I STAAR Practice Test A 1 What is the value of if (, ) is a solution to the equation 3 1 5 1? A C B 3 D 5 5 A plumber charges $5 for a service call and $15 per hour for repairs. She uses the graph

More information

Fair Game Review. Chapter 5. Input, x Output, y. 1. Input, x Output, y. Describe the pattern of inputs x and outputs y.

Fair Game Review. Chapter 5. Input, x Output, y. 1. Input, x Output, y. Describe the pattern of inputs x and outputs y. Name Date Chapter Fair Game Review Describe the pattern of inputs and outputs.. Input, utput,. 8 Input, utput,. Input, 9. utput, 8 Input, utput, 9. The table shows the number of customers in hours. Describe

More information

Graph Quadratic Functions in Standard Form

Graph Quadratic Functions in Standard Form TEKS 4. 2A.4.A, 2A.4.B, 2A.6.B, 2A.8.A Graph Quadratic Functions in Standard Form Before You graphed linear functions. Now You will graph quadratic functions. Wh? So ou can model sports revenue, as in

More information

Summary and Vocabulary

Summary and Vocabulary Chapter Chapter Summar and Vocabular Equations involving percents ma be written in the form p q = r, where p is the decimal form of the percent, q is the initial quantit, and r is the resulting quantit.

More information

7-1. Exploring Exponential Models. Vocabulary. Review. Vocabulary Builder. Use Your Vocabulary. 1. Cross out the expressions that are NOT powers.

7-1. Exploring Exponential Models. Vocabulary. Review. Vocabulary Builder. Use Your Vocabulary. 1. Cross out the expressions that are NOT powers. 7-1 Eploring Eponential Models Vocabular Review 1. Cross out the epressions that are NOT powers. 16 6a 1 7. Circle the eponents in the epressions below. 5 6 5a z Vocabular Builder eponential deca (noun)

More information

c. x x < 60 d. x x =9. What are the first four terms of the sequence? a. 12, 21, 30, 39 b.

c. x x < 60 d. x x =9. What are the first four terms of the sequence? a. 12, 21, 30, 39 b. Algebra I Unit Reasoning with Linear Equations and Inequalities Post Test... A famil s cell phone plan costs $ per month for, minutes and cents per minute over the limit. This month, the famil paid $..

More information

Algebra 2 Unit 2 Practice

Algebra 2 Unit 2 Practice Algebra Unit Practice LESSON 7-1 1. Consider a rectangle that has a perimeter of 80 cm. a. Write a function A(l) that represents the area of the rectangle with length l.. A rectangle has a perimeter of

More information

Bridge-Thickness Experiment. Student 2

Bridge-Thickness Experiment. Student 2 Applications 1. Below are some results from the bridge-thickness eperiment. Bridge-Thickness Eperiment Thickness (laers) Breaking Weight (pennies) 15 5 5 a. Plot the (thickness, breaking weight) data.

More information

Maintaining Mathematical Proficiency

Maintaining Mathematical Proficiency Name Date Chapter 5 Maintaining Mathematical Proficienc Graph the equation. 1. + =. = 3 3. 5 + = 10. 3 = 5. 3 = 6. 3 + = 1 Solve the inequalit. Graph the solution. 7. a 3 > 8. c 9. d 5 < 3 10. 8 3r 5 r

More information

Algebra 2 Unit 1 Practice

Algebra 2 Unit 1 Practice Algebra Unit Practice LESSON - Use this information for Items. Aaron has $ to rent a bike in the cit. It costs $ per hour to rent a bike. The additional fee for a helmet is $ for the entire ride.. Write

More information

NAME DATE PERIOD. Graphing Equations in Slope-Intercept Form

NAME DATE PERIOD. Graphing Equations in Slope-Intercept Form NAME DATE PERID 4-1 Skills Practice Graphing Equations in Slope-Intercept Form Write an equation of a line in slope-intercept form with the given slope and -intercept. 1. slope: 5, -intercept: -3. slope:

More information

Graphing and Writing Linear Equations

Graphing and Writing Linear Equations Graphing and Writing Linear Equations. Graphing Linear Equations. Slope of a Line. Graphing Linear Equations in Slope-Intercept Form. Graphing Linear Equations in Standard Form. Writing Equations in Slope-Intercept

More information

Algebra 1, Semester 1, District Final REVIEW Solve the equation.

Algebra 1, Semester 1, District Final REVIEW Solve the equation. Algebra, Semester, District Final REVIEW 6-7 Solve the equation... - = 9. 8. The admission fee to an amusement park is $. It costs an additional d dollars to rent a locker to hold our belongings. The total

More information

Pre-Algebra Semester Exam Review 2016

Pre-Algebra Semester Exam Review 2016 Pre-Algebra Semester Exam Review 016 Multiple Choice Identif the choice that best completes the statement or answers the question. 1. What kind of number is? rational not a real number irrational natural

More information

Lesson Remember. Finding Domain and Range from a Graph EXAMPLE. Key Vocabulary

Lesson Remember. Finding Domain and Range from a Graph EXAMPLE. Key Vocabulary 0. Lesson Ke Vocabular function domain range function form Functions A function is a relationship that pairs each input with eactl one output. The domain is the set of all possible input values. The range

More information

Represent Relations and Functions

Represent Relations and Functions TEKS. a., a., a.5, A..A Represent Relations and Functions Before You solved linear equations. Now You will represent relations and graph linear functions. Wh? So ou can model changes in elevation, as in

More information

Practice Algebra 1 SCP Midterm 2015

Practice Algebra 1 SCP Midterm 2015 Practice Algebra 1 SCP Midterm 01 Multiple Choice Identif the choice that best completes the statement or answers the question. Solve the equation. 1. = m 0 7 7 7 7. 0 7 60. x 6 = 7 8 19 1 1 19 1..1x +.

More information

A calculator may be used on the exam.

A calculator may be used on the exam. The Algebra Semester A eamination will have the following tpes of questions: Selected Response Student Produced Response (Grid-in) Brief Constructed Response (BCR) Etended Constructed Response (ECR) Short

More information

2.2 Equations of Lines

2.2 Equations of Lines 660_ch0pp07668.qd 10/16/08 4:1 PM Page 96 96 CHAPTER Linear Functions and Equations. Equations of Lines Write the point-slope and slope-intercept forms Find the intercepts of a line Write equations for

More information

Discrete and Continuous Domains

Discrete and Continuous Domains . Discrete and Continuous Domains How can ou decide whether the domain of a function is discrete or continuous? EXAMPLE: Discrete and Continuous Domains In Activities and in Section., ou studied two real-life

More information

Maintaining Mathematical Proficiency

Maintaining Mathematical Proficiency Name Date Chapter 3 Maintaining Mathematical Proficienc Plot the point in a coordinate plane. Describe the location of the point. 1. A( 3, 1). B (, ) 3. C ( 1, 0). D ( 5, ) 5. Plot the point that is on

More information

BUILD YOUR VOCABULARY

BUILD YOUR VOCABULARY C H A P T E R BUILD YOUR VOCABULARY This is an alphabetical list of new vocabulary terms you will learn in Chapter. As you complete the study notes for the chapter, you will see Build Your Vocabulary reminders

More information

Honors Algebra

Honors Algebra Honors Algebra 08-09 Honors Algebra is a rigorous course that requires the use of Algebra skills. The summer work is designed to maintain and reinforce these prerequisite skills so as to prepare ou for

More information

In grade 10, you used trigonometry to find sides and angles in triangles. For a right triangle, sin v hy

In grade 10, you used trigonometry to find sides and angles in triangles. For a right triangle, sin v hy The Inverse Function 3. Part 1: Defining the Inverse Function In grade 10, ou used trigonometr to find sides and angles in triangles. For a opposite right triangle, sin v h. You saw that on a calculator,

More information

1.1. Use a Problem Solving Plan. Read a problem and make a plan. Goal p Use a problem solving plan to solve problems. VOCABULARY. Formula.

1.1. Use a Problem Solving Plan. Read a problem and make a plan. Goal p Use a problem solving plan to solve problems. VOCABULARY. Formula. . Georgia Performance Standard(s) MMPd, MMPa Your Notes Use a Problem Solving Plan Goal p Use a problem solving plan to solve problems. VOCABULARY Formula A PROBLEM SOLVING PLAN Step Read the problem carefull.

More information

15.4 Equation of a Circle

15.4 Equation of a Circle Name Class Date 1.4 Equation of a Circle Essential Question: How can ou write the equation of a circle if ou know its radius and the coordinates of its center? Eplore G.1.E Show the equation of a circle

More information

(x, y) ( 1, 2) (0, 1) (1, 0) (2, 1)

(x, y) ( 1, 2) (0, 1) (1, 0) (2, 1) Date Dear Famil, In this chapter, our child will learn about patterns, functions, and graphs. Your child will learn that the same set of data can be represented in different was, including tables, equations,

More information

Rate of Change and Slope. ESSENTIAL QUESTION How do you find a rate of change or a slope?

Rate of Change and Slope. ESSENTIAL QUESTION How do you find a rate of change or a slope? ? LESSN 3.2 Rate of Change and Slope ESSENTIAL QUESTIN How do ou find a rate of change or a slope? Investigating Rates of Change A rate of change is a ratio of the amount of change in the output to the

More information

a. In the statement "Height is a function of weight," which is the independent variable and which is the dependent variable?

a. In the statement Height is a function of weight, which is the independent variable and which is the dependent variable? 1. The weights and heights of si mathematics students are given in the table. Answer parts a through e. Weight (lb.) Height (cm) 157 19 11 155 1 11 175 17 157 15 17 17 a. In the statement "Height is a

More information

NAME DATE PER. Review #11 Solving Systems of Equations 1. Write the linear function that includes the points (4, 9) and (-2, -6).

NAME DATE PER. Review #11 Solving Systems of Equations 1. Write the linear function that includes the points (4, 9) and (-2, -6). Review #11 NAME DATE PER. Review #11 Solving Systems of Equations 1. Write the linear function that includes the points (4, 9) and (-2, -6). 2. The graph of a line that contains the points (-3, 2) and

More information

Linear Relations and Functions

Linear Relations and Functions Linear Relations and Functions Why? You analyzed relations and functions. (Lesson 2-1) Now Identify linear relations and functions. Write linear equations in standard form. New Vocabulary linear relations

More information