8A Unit 3 Review Sheet PDF

Name: ____________________________ #_____ Class: ______ Date: ___________ 8A Unit 3 Review Sheet Explana1on/Notes – Answer one/two of the following à “Wh...

Name: ____________________________ #_____ Class: ______ Date: ___________ 8A Unit 3 Review Sheet Explana1on/Notes – Answer one/two of the following à “What are some helpful hints?” The explicit formula for arithme1c sequences is… à“Why is that choice correct?” and/or “Why are the other choices incorrect?” à“What is the important vocabulary word(s)? What is the defini@on(s), and how does it help you answer this ques@on?” à“What are some things you need to remember about this topic/ques@on?” Ques1on à“What did you do to answer the ques@on?” 1) Which of the following rela2on is a func2on? (1) (2) {(2,7), (6,5), (4,4), (5,1), (3,3)} (3) (4) 2) Match each func7on with the correct func7on table: ! ___ 𝑦 = " 𝑥 − 5 ___ 𝑦 = 4x + 3 " ___ 𝑦 = − # 𝑥 + 1 ___ 𝑦 = 2x + 6 3) On Wednesdays, Ms. Yi tutors her friends’ children for x hours a8er working at school. Which of the following is the most reasonable domain? (1) 0 < x < 48 (2) 0 < x < 24 (3) 0 < x < 12 (4) 0 < x < 5 4) Gary just began collec2ng Pokémon cards. Currently he has 25 cards in his collec2on. Every week, his cousin giNs him 3 new cards. Write an arithme2c sequence to describe how many cards he will have aNer n weeks. 5) List the domain and range for the mapping. Then write out the ordered pairs from the mapping. State whether or not the rela2on is a func2on. Domain: Range: Ordered Pairs: Func2on? (Yes/No) 6) The func2on of the graph is # 𝑓(𝑥) = " 𝑥 − 3. Evaluate: f(-6) = _____ f (4) = _____ What is the domain and range of f(x)? You may write it in either interval nota2on OR inequality nota2on. Domain: Range: *Challenge: If f(x) was shiNed 2 units up, and it is called g(x), what is the func2on for g(x)? 7) Write the explicit formula (both ways) for the following arithme2c sequence: -8, -2, 4, 10, … Explicit Formula W/O distribu-on: W/ distribu-on: 8) In the arithme2c sequence 7, 4, 1, …, what is the value of the seventh term (a7)? 9) Find f(-2) for the func2on: 3𝑥 " − 1, 𝑥 < 1 𝑓(𝑥) = 0 𝑥 + 2, 𝑥 ≥ 1 10) The data in the table shows the For the explana2on, answer this: Does this situa2on represent a causal rela2onship? Why or why not? Is Olympic 500-meter Gold Medal Speed there enough data to state whether or not this Ska2ng 2mes. situa2on represents a causal rela2onship? What is the linear regression equa2on? Round to the nearest tenth if necessary. Circle one: The data shows (posi2ve/nega2ve/no) correla2on. Using your equa2on, es2mate the amount of 2me it would take for the 2024 Olympics 500-meter Gold Medal winner. 11) The data in the graph shows the res2ng heart rates and ages of a group of 20 people at the gym. Which line best represents the data? $%& 12) Given 𝑝(𝑥) = # , what is the value if p(5)? If 𝑝(𝑥) = 13, find x. 13) The data in the table shows the number of gradua7ng 8th graders from a middle school since 2012. Use the data to construct a scaHer plot. What is the linear regression equa2on? Round each value to the nearest hundredth, if necessary. What is the correla2on coefficient (hundredths) and what does it mean in the context of this situa2on?  Name: ANSWER KEY 8A Unit 3 Review Sheet Explana1on/Notes – Answer one/two of the following à “What are some helpful hints?” The explicit formula for arithme1c sequences is… à“Why is that choice correct?” and/or “Why are the other choices incorrect?” an = a1 + (n – 1)d à“What is the important vocabulary word(s)? What is the defini@on(s), and how does it help you answer this ques@on?” à“What are some things you need to remember about this topic/ques@on?” Ques1on à“What did you do to answer the ques@on?” 1) Which of the following rela2on is a func2on? (1) (2) {(2,7), (6,5), (4,4), (5,1), (3,3)} (3) (4) 2) Match each func7on with the correct func7on table: ! _A_ 𝑦 = " 𝑥 − 5 _C_ 𝑦 = 4x + 3 " _B_ 𝑦 = − # 𝑥 + 1 _D_ 𝑦 = 2x + 6 3) On Wednesdays, Ms. Yi tutors her friends’ children for x hours a8er working at school. Which of the following is the most reasonable domain? (1) 0 < x < 48 (2) 0 < x < 24 (3) 0 < x < 12 (4) 0 < x < 5 4) Gary just began collec2ng Pokémon cards. Currently he has 25 cards in his collec2on. Every week, his cousin giNs him 3 new cards. Write an arithme2c sequence to describe how many cards he will have aNer n weeks. A(n) = 25 + (n – 1)(3) 5) List the domain and range for the mapping. Then write out the ordered pairs from the mapping. State whether or not the rela2on is a func2on. Domain: {-7, 0, 3} Range: {1, 2} Ordered Pairs: {(-7, 2), (0, 2), (3, 1)} Func2on? (Yes/No) 6) The func2on of the graph is # 𝑓(𝑥) = " 𝑥 − 3. Evaluate: f(-6) = __-12__ f (4) = __3__ What is the domain and range of f(x)? You may write it in either interval nota2on OR inequality nota2on. Domain: Range: All real #s (-∞, ∞) All real #s (-∞, ∞) *Challenge: If f(x) was shiNed 2 units up, and it is called g(x), what is the func2on for g(x)? # 𝑔(𝑥) = " 𝑥 − 1 7) Write the explicit formula (both ways) for the following arithme2c sequence: -8, -2, 4, 10, … Explicit Formula W/O distribu-on: A(n) = -8 + (n – 1)(6) W/ distribu-on: A(n) = 6n – 14 8) In the arithme2c sequence 7, 4, 1, …, what is the value of the seventh term (a7)? a7 = – 11 9) Find f(-2) for the func2on: 3𝑥 " − 1, 𝑥 < 1 𝑓(𝑥) = 0 𝑥 + 2, 𝑥 ≥ 1 𝑓(−2) = 11 10) The data in the table shows the For the explana2on, answer this: Does this situa2on represent a causal rela2onship? Why or why not? Is Olympic 500-meter Gold Medal Speed there enough data to state whether or not this Ska2ng 2mes. situa2on represents a causal rela2onship? What is the linear regression equa2on? Round to the nearest tenth if necessary. y = -2.3x + 4969.1 Circle one: The data shows (posi2ve/nega2ve/no) correla2on. Using your equa2on, es2mate the amount of 2me it would take for the 2024 Olympics 500-meter Gold Medal winner. 313.9 seconds 11) The data in the graph shows the res2ng heart rates and ages of a group of 20 people at the gym. Which line best represents the data? $%& 12) Given 𝑝(𝑥) = # , what is the value if p(5)? p(5) = 4 If 𝑝(𝑥) = 13, find x. x = 32 13) The data in the table shows the number of gradua7ng 8th graders from a middle school since 2012. Use the data to construct a scaHer plot. What is the linear regression equa2on? Round each value to the nearest hundredth, if necessary. y = 9.17x – 18114.68 What is the correla2on coefficient (hundredths) and what does it mean in the context of this situa2on? r = 0.99. There is a strong posi2ve correla2on between the year and the number of graduates at this middle school.