# Skills Practice Skills Practice for Lesson 5.1

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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 an equation whose graph is a straight line.. The letters f() can be used to name a function written in.. A(n) describes the location of an point on a coordinate grid.. All linear equations are also, ecept when the are in the form a, where a represents an number. Problem Set Write a linear equation to model each situation.. A carpenter charges a \$ flat fee plus \$0 per hour. Write an equation to represent the cost, c, to hire the carpenter for h hours.. Marsha has \$ now and plans to save \$ per week. Write an equation to represent the amount, s, that Marsha will have saved after w weeks.. Raul and his friends rent a sailboat for \$ per hour plus a basic fee of \$0. Write an equation that gives the total cost, c, to rent the boat for h hours.. Gail orders CDs for \$ each plus a total shipping cost of \$. Write an equation that gives the total price, p, of her order if she orders n CDs.. A teacher starts the ear with \$00 for art supplies. He plans to spend \$0 per week on supplies. Write an equation to show the amount, d, that the teacher has left after w weeks. 0. A sales representative on a business trip is 0 miles from home. She estimates that she can travel 0 miles per hour while driving home. Write an equation to show her distance from home, d, after she has been driving for h hours. Chapter Skills Practice

2 Complete the table of values for each linear equation Graph the points for each table of values. Draw a straight line through the points Chapter Skills Practice

3 Name Date Chapter Skills Practice

4 Chapter Skills Practice

5 Name Date Decide whether each graph represents a linear equation, a linear function, both, or neither Chapter Skills Practice

6 .. Chapter Skills Practice

7 Skills Practice Skills Practice for Lesson. Name Date Selling Balloons Finding Intercepts of a Graph Vocabular Eplain how each pair of terms is related b identifing similarities and differences.. -coordinate and -coordinate. -intercept and -intercept. vertical line and horizontal line. -ais and -ais Chapter Skills Practice

8 Problem Set Determine the -intercept and the -intercept for each graph Chapter Skills Practice

9 Name Date Determine the -intercept of the graph of each equation Determine the -intercept of the graph of each equation Chapter Skills Practice

10 Identif each intercept and eplain what it means in terms of the problem situation.. To find the cost of manufacturing pens, a compan uses the equation 000. Identif and interpret the -intercept. 0. The cost of renting a canoe can be shown b 0, where is the time in hours. Identif and interpret the -intercept.. An art teacher has \$0 for supplies and plans to spend \$ per week. An equation for the situation is 0. Identif and interpret the -intercept.. Alma wants to lose 0 pounds at the rate of pounds per week. An equation for the situation is 0. Identif and interpret the -intercept.. A bookstore has msteries on sale for \$ each and biographies for \$ each. Greg has \$0 to spend on books. An equation for the situation is 0. Identif and interpret both intercepts.. Marge s goal is to sell \$00 worth of tickets to the school pla. The tickets are \$ for children and \$0 for adults. An equation for the situation is Identif and interpret both intercepts. Chapter Skills Practice

11 Skills Practice Skills Practice for Lesson. Name Date Reccling and Saving Finding the Slope of a Line Vocabular Match each definition or description to its corresponding term.. comparison of two quantities written as a : b or as a fraction a. unit rate. describes a line that slants upward from left to right b. slope. difference in -coordinates when computing slope c. vertical change. ratio of vertical change, to horizontal change, of a line d. horizontal change. a rate per one unit e. rate of change. describes a line that slants downward from left to right f. ratio. difference in -coordinates when computing slope g. positive slope. ratio comparing amount of change in dependent variable with h. negative slope amount of change in independent variable in a real-life situation Problem Set Calculate each unit rate. Write each rate as a fraction.. It costs \$. to mail a package that weighs ounces. Calculate the cost per ounce. 0. It costs \$. for pounds of bananas. Calculate the cost per banana.. It takes hours to travel 0 miles. Calculate the miles traveled each hour. Chapter Skills Practice

12 . It takes seconds to travel 0 meters. Calculate the number of meters traveled per second.. You can read pages in das. Calculate the number of pages read per da.. You save \$ in months. Calculate the amount of mone saved each month.. It takes hours to run. miles. Calculate the number of miles ran per hour.. It takes das to biccle. miles. Calculate the number of miles biccled per da... pounds of cherries cost \$.. Calculate the cost per pound.. A package weighing. pounds costs \$.0 to mail. Calculate the cost per pound. Determine whether the slope of the line in each graph is positive, negative, zero, or undefined Chapter Skills Practice

13 Name Date Chapter Skills Practice

14 Use the coordinates of the points shown to calculate the slope of each line... (, ) (, ) 0 (0, ) 0 (, ). 0. (, ) 0 (, ) (, ) 0 (, ). (, ) 0. (0,) 0 (, ) (, ) 0 Chapter Skills Practice

15 Name Date.. (, ) (, ) (, ) (, ) 0 0 Chapter Skills Practice

16 Chapter Skills Practice

17 Skills Practice Skills Practice for Lesson. Name Date Running in a Marathon Slope-Intercept Form Vocabular Define each term in our own words.. linear equation. -intercept. slope. positive slope. negative slope. slope-intercept form Chapter Skills Practice

18 Problem Set Identif the slope and -intercept of the line shown on each graph Chapter Skills Practice

19 Name Date Write each equation in slope-intercept form. Then identif the slope and -intercept for the graph of each equation Use the slope and -intercept to graph each equation... Chapter Skills Practice

20 Chapter Skills Practice

21 Name Date Compare the slopes and -intercepts of each pair of equations. Use complete sentences in our answer Chapter Skills Practice

22 Chapter Skills Practice

23 Skills Practice Skills Practice for Lesson. Name Date Saving Mone Writing Equations of Lines Vocabular Give two eamples of each term.. equation of a horizontal line. equation of a vertical line. linear equation in slope-intercept form. linear equation in point-slope form Problem Set Write an equation of a line in slope-intercept form that has the given criteria.. slope is and -intercept is. slope is and -intercept is. slope is and -intercept is. slope is and -intercept is. slope is and -intercept is 0. slope is and -intercept is Chapter Skills Practice

24 Write an equation in point-slope form of the line that passes through the given point and has the given slope. Then write the equation in slope-intercept form.. Has slope of and passes through (, ). Has slope of and passes through (, ). Has slope of and passes through (, ). Has slope of and passes through (, ). Has slope of and passes through (, ). Has slope of and passes through (, ). Has slope of and passes through (, ). Has slope of and passes through (, ) 00 Chapter Skills Practice

25 Name Date Write an equation of the line in slope-intercept form that passes through each given set of points.. Passes through (, ) and (, ) 0. Passes through (, ) and (, ). Passes through (, 0) and (, ). Passes through (, ) and (, ). Passes through (, 0) and (, ). Passes through (, ) and (, ). Passes through (, ) and (, ). Passes through (, ) and (, 0) Chapter Skills Practice 0

26 Write an equation in slope-intercept form for the line shown in each graph Chapter Skills Practice

27 Name Date Chapter Skills Practice 0

28 0 Chapter Skills Practice

29 Skills Practice Skills Practice for Lesson. Name Date Spending Mone Linear and Piecewise Functions Vocabular Match each definition or description to its corresponding term.. set of output values of a function a. domain. function that can be written in the form m b b. range. function represented b different epressions in c. positive slope different parts of its domain. shows decreasing -values as the value of increases d. negative slope. set of input values of a function e. linear function. shows increasing -values as the value of increases f. piecewise function Chapter Skills Practice 0

30 Problem Set Write the domain and range of each function in terms of the given problem situation.. Gerald gets \$ plus \$ per hour for babsitting. He works hours over the weekend. The function f() shows the relationship between the number of hours he works over the weekend and the amount of mone he earns. Babsitting This Weekend Mone Earned 0 Time in Hours domain range. Kim has a -page science report to write. She writes pages each da. The function f() shows the relationship between the number of das and the number of pages she has left to write. Pages Left to Write 0 Science Report 0 Number of Das domain range 0 Chapter Skills Practice

31 Name Date. Tim has \$ for lunch mone. He spends \$ each da. The function f() shows the relationship between the number of das and the amount of mone he has left Lunch Mone Mone Left Time in Das domain range 0. Marji is on a hike. At dawn she is 0 miles from the parking lot. Marji estimates that she will average miles per hour for the net 0 hours. Then the hike will be over and Marji s friend will pick her up. The function f() 0 shows her distance from the parking lot at an given time. Birdwatching Hike Distatnce from the Parking Lot (miles) Time in Hours domain range Chapter Skills Practice 0

32 For each piecewise function shown in the graph, state the number of pieces and the domain of each piece Chapter Skills Practice

33 Name Date Write an equation for each piecewise function shown in the graph... Chapter Skills Practice 0

34 . 0. Graph each piecewise function.. f() 0 0. f() Chapter Skills Practice

35 Name Date. f() 0 0. f() 0 0 Chapter Skills Practice

36 Chapter Skills Practice

37 Skills Practice Skills Practice for Lesson. Name Date The School Pla Standard Form of a Linear Equation Vocabular Give two eamples of each term.. linear equation in slope-intercept form. linear equation in point-slope form. linear equation in standard form Problem Set Without graphing, calculate the - and -intercepts of the graph of each equation Chapter Skills Practice

38 Chapter Skills Practice

39 Name Date Graph each equation Chapter Skills Practice

40 Write each equation in standard form Chapter Skills Practice

41 Name Date Write a linear equation in standard form to model each situation. 0. You have a \$ book store gift card. You want to bu magazines that cost \$ each and books that cost \$ each.. Ed has \$ to bu paints and brushes for a school project. Jars of paint cost \$ each. The brushes are \$ each.. Gail plans to spend \$0 on rides at an amusement park. Some rides cost \$ and others cost \$.. A basketball team scored 0 points b making a combination of -point shots and -point shots. Write each equation in slope-intercept form Chapter Skills Practice

42 Chapter Skills Practice

43 Skills Practice Skills Practice for Lesson. Name Date Earning Interest Solving Literal Equations Vocabular Write the term that best completes each statement.. The equation I Prt is a(n) formula.. is the initial amount of mone borrowed or invested.. In the formula I Prt, the value for r is the.. When the interest rate is a fied percent, invested mone earns.. A(n) often has more than two different variables.. is the amount earned when saving or investing mone. Problem Set Solve each equation for the given variable.. I Pr t for r. I Pr t for t. A l w for l 0. A l w for w. P (l w) for l. P (l w) for w. D r t for r. D r t for r. A bh for b. A bh for h Chapter Skills Practice

44 Use the given information to determine the amount of interest earned.. Jennifer deposits \$00 in an account that earns % interest for ear.. Tona deposits \$00 in an account that earns % interest for ear.. David deposits \$00 in an account that earns % interest for ears. 0. Lin deposits \$00 in an account that earns % interest for ears.. Shania deposits \$00 in an account that earns.% interest for ears.. Horace deposits \$00 in an account that earns.% interest for ears.. Leslie deposits \$00 in an account that earns.% interest for months.. Tabitha deposits \$000 in an account that earns.% interest for months.. Sean deposits \$,00 in an account that earns.% interest for. ears.. Jorge deposits \$,00 in an account that earns.% interest for. ears. 0 Chapter Skills Practice

45 Name Date Use the given information to solve each problem. Round our answers to two decimal places.. Calculate the amount of time it will take to earn \$00 in simple interest if ou deposit \$000 into an account that earns % interest.. Calculate the amount of time it will take to earn \$0 in simple interest if ou deposit \$000 into an account that earns % interest.. Calculate the amount of time it will take to earn \$00 in simple interest if ou deposit \$000 into an account that earns.% interest. 0. Calculate the amount of time it will take to earn \$00 in simple interest if ou deposit \$0,000 into an account that earns.% interest. Use the given information to answer each question.. How far can a car travel in. hours at an average speed of miles per hour?. How far can a car travel in. hours at an average speed of miles per hour?. How long does it take to run 0 miles at an average speed of miles per hour?. How long does it take to walk miles at an average speed of miles per hour?. A car travels 0 miles in. hours. What is the average speed?. A car travels 0 miles in. hours. What is the average speed? Chapter Skills Practice

46 Use the following area formulas to answer the questions. rectangle parallelogram triangle A l w A bh A bh. Mike bought enough grass seed to plant 00 square ards. If his rectangular lawn is 0 ards wide, how long can it be?. Shari has enough arn to knit a rectangular scarf that is 0 square inches. If she makes the scarf inches wide, how long will it be?. A parallelogram with a base of. centimeters has an area of. square centimeters. What is the height? 0. A parallelogram with a base of. centimeters has an area of. square centimeters. What is the height?. A triangle with an area of 0 square inches has a height of inches. What is the base?. A triangle with an area of 0 square inches has a base of inches. What is the height? Chapter Skills Practice

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