Review for MIDTERM. Ensure your Survival Guides are complete and corrected. These you may use on PART #1 (but not on PART #2)

Transcription

1 1 M i d t e r m 10P Date: Name: Review for MIDTERM MIDTERM TASK #1 date MIDTERM TASK # date Success Criteria Students on IEP if ou will need more time to finish, arrange a ride afterschool on these das (or finish over our lunch that same da) You must come to class on the dates above. If ou miss an of these das, ou must give a doctor s note in order to do the evaluation on another da OR do full eams at the end of the semester! Ensure our Survival Guides are complete and corrected. These ou ma use on PART #1 (but not on PART #) Complete this Review booklet. Check our answers with the file online Date pg Topics Done? Corrected? Finish and correct our SURVIVAL GUIDES -4 Linear Relations 5-6 Solve Equations 7-10 Linear Sstems 11-1 EXTRA practice ANSWERS look online FORMULAS GIVEN ON PART #: SLOPE m = 1 1 m = rise run LINEAR EQUATION = m + b 1

2 M i d t e r m 10P Date: Name: Linear Relations 1. Create a table of values for the line = 4 and graph the results below. Y = Graph the following lines b calculating the and intercepts. a) + 8 = - b) 5 = 10 c) - = 1. Graph the lines using slope -intercept method. a) = + 8 b) = c) = - +

3 M i d t e r m 10P Date: Name: 4. Calculate the slope of the line AB. A(, 4) B(, -) 5. Determine the equation of the lines a) slope is and intercept is 8 g) the equation is parallel to = -7 + and -int=5 b) m = - and b = h) the equation is perpendicular to = 5 9, -int=4 c) b= 0 and m = -1/ i) the line is perpendicular to =- +4 and -int=-1 d) slope is and passes through (, 8) j) the line is steeper than = - -1 and -int=0 k) passing through through (-,6) and (9, 0) e) -int is - and passes through (, 5) l) passing through (1, -1) and (5, 5) f) slope is.5 and passes through (0, 0)

4 4 M i d t e r m 10P Date: Name: 6. Find the equation of the line for each graph. a) b) c) Silvio works in a hair salon. He has 50 regular customers. His customer base is growing at a rate of three new customers per month. a) Write an equation to describe the total number of customers. Let Let Equation b) How long will it be before Silvio has 15 customers? 8. Paula bought a parrot. The bird had a 10 word vocabular, but Paula has taught it new words per week. a) write an equation to represent the number of words the bird can speak Let Let Equation b) Determine how large a vocabular the parrot could have after 1 ear (or 5 weeks) 9. The cost of Jack s cell phone is $150 plus $0 per month. a) Write an equation that describes the cost of Jack s cell phone as the months pass. Let Let Equation: b) How much will Jack spend on the cell phone in ears? 10. What is the pattern in the table of values? a) What is the relationship between the rate of change and the slope? b) What is the slope? c) What is the intercept? d) Write the equation of the line that models this linear sstem. 4

5 5 M i d t e r m 10P Date: Name: Solve Equations Things to know: solve one and two step equations rearrange formulas use formulas in word problems rearrange linear equations with being isolated 1. Solve each equation: a) m+ 9 = 1 b) 1 = 4 c) 7 5 = 16 d) 5 e)5 4 = 8 + = f) 5k k = 4k g) 5(11 + ) = 45 h) ( ) 4 + = i) (- 10)=5( 8) j) 6( -) = k) -(w+4) = (w- 4) l) 8+p = (p + ) 5

6 6 M i d t e r m 10P Date: Name:. Solve each formula for the indicated variable a) bh A = for h b) A = lw for l c) A = π r + π rh for h. The amount of food energ required b a bus courier is given b the formula E = 15T E is the amount of food energ in kilojoules.t is the outside temperature in degrees Celsius. Find the outside temperature if the amount of food energ is KJ. 4. Alan takes a tai from his house to his friend Drew s home. The drive is 6 km. The tai driver charges a flat fee of $10 plus $0.5/km. this can be modelled using the equation C = , where represents the distance travelled in kilometres, and C represents the cost in dollars. How much will the tai ride cost? 5. Rearrange the equation the following equations to = m + b form. a) + 1 = b) = 0 c) = 0 d) 5= 0 6

7 7 M i d t e r m 10P Date: Name: Linear Sstems Things to know: Solve a linear sstem b graphing Solve a linear sstem b substitution Solve a linear sstem b elimination Model problems for linear sstems (ie. come up with equations.) Interpret the solution to a sstem 1. Find the point of intersection b graphing the linear sstems given: = + 1 = + 1 a) b) = = + 5 = 1 c) = + d) 1 = = 6 7

8 8 M i d t e r m 10P Date: Name: Solve b graphing. Ensure ou use appropriate scale, label aes, label lines and give the graph a title. Once POI is found, eplain what it means.. Alison and Luc belong to different fitness clubs. Alison has a membership that cost her $100 and she pas $ each time she visits the club. Luc has a pa-as-ou-go membership and she pas $8 each time she visits her club. a) Write a sstem of linear equations to represent the situation. b) Fill in the tables to help ou graph the lines Alison s club: Luc s club: visits total cost visits total cost c) Find and check the point of intersection. What does this point represent?. At the bowling alle, Angela rented shoes for $5 and it cost her $6.75 to bowl each game. At another bowling alle the cost is $8 per game a) Write a sstem of linear equations to represent the situation. b) Fill in the tables to help ou graph the lines First bowling alle: Second bowling alle: games total cost games total cost c) Find and check the point of intersection. What alle would ou choose if ou wanted to bowl a lot of games? Wh? 8

9 9 M i d t e r m 10P Date: Name: 4. Solve the following sstems b method of substitution. = + 1 a) b) = 1 = 5 4 = 10 c) = 6 = 1 d) = 4 = 9

10 10 M i d t e r m 10P Date: Name: 5. Solve the following sstems b method of elimination. a) 4 = = 8 b) + = 9 4 = 4 c) + = + 5 = 4 d) 4 = + 5 = 5 10

11 11 M i d t e r m 10P Date: Name: EXTRA practice 1. Solve the following a) 8 = 7 c) 6 4 = + 1 b) + = 6 d) ( + 1) = + 6 e) ( + ) = 4. Rearrange to =m+b form a) + 6 = 0 b) = 0. Rearrange for the given variable: a) P = l + w, for w b) S πrh, = for h 11

12 1 M i d t e r m 10P Date: Name: 4. Calculate the intercepts for = 1. Graph the line using the intercepts 5. Complete the table of values and graph the line. Y= = Graph using slope -intercept method 1 = Determine the equation of the line for the following. a) Parallel to = 1 5 d) passes through the points (, 4) and (1, -6) b) perpendicular to = 1 5 c) has a slope of 4 and passes through (-1, -6) 1

13 1 M i d t e r m 10P Date: Name: 8. Use the graph to find the equation of the line a) b) 9. Model the following situations. Include let statements and equations. a) KC Fitness Club charges a flat fee of $5 a month plus $5 per visit. Workout Zone charges a flat fee of $5 a month plus $ per visit. b) For Nina s retirement part, her famil decides to rent a hall for a dinner. Regal Hall costs $500 for the hall rental and $15 per guest, and Part Place charges $410 for the hall and $18 per guest. c) George wants to hire a truck to do some moving. Athena s Garage charges $80 for the da plus $0./km. Cit Truck Rental charges $100 for the da and $0.1/km. d) Neil s brother has a total of 8 cars and trucks to pla with. For his birthda, he wants to double the number of cars he has. If he does he will then have a total of 11 cars and trucks. How man cars and trucks does Neil s brother have now? e) Christine plans to go to college in a ear and needs to save for tuition. She invests is summer earnings of $050, part at 8% interest per ear, and part at 7.5% per ear. After one ear, Christine has earned a total of $4 in interest. f) Students hold a car wash to raise mone for a school trip to the west coast. The charge $7 per car and $10 per van. The washed a total of 5 cars and vans and earned $457. 1