term 4 final (& sage) review part 2 name: per: due: a day...

4
Unit 6 – Scatter Plots, Trend Lines, TwoWay Tables 1. The table shows the amount of time different students studied for a test and their test scores. a. Construct a scatter plot of the data. b. Is there a positive, negative, or no association in this data? ____________________ c. Is the data linear or nonlinear? ____________________ d. Identify any clusters. ____________________ e. Identify any outliers. ____________________ f. If a relationship exists, make a conjecture about the test scores for a student who studied for 60 minutes. ____________________ 2. Circle the graph with the line that best represents the data? a. Explain why you choose the graph. ________________ ___________________________________________________________ b. Is there a positive, negative, or no association in this data? __________ c. Is the data linear or nonlinear? ____________________ d. Identify any outliers. ____________________ e. Identify any clusters. ____________________ 3. Draw a trend line to fit the data. Write the equation of your trend line. Identify any associations. Equation: Equation: ________________ ________________ Associations: Associations: _________________________ _________________________ _________________________ _________________________ _________________________ _________________________ _________________________ _________________________ 4. One hundred customers in a restaurant were asked whether they liked chicken or beef and whether they liked rice or pasta. Out of 30 customers that liked rice, 20 liked chicken. There were 60 customers that liked chicken. Construct a twoway table summarizing the data. Term 4 Final (& SAGE) Review Part 2 Name: ________________________ Per: ________ Due: A Day: 5/12 - B Day: 5/13 SHOW YOUR WORK FOR FULL CREDIT. NO WORK, NO CREDIT. NO WORK IN PEN. Find the relative frequencies by column for the twoway table.

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Page 1: Term 4 Final (& SAGE) Review Part 2 Name: Per: Due: A Day ...emcockemath.weebly.com/.../units_6-10_review.pdf · Unit%8%–%Roots,%Cubes,%and%Rational%vs.%Irrational% Approximate

Unit  6  –  Scatter  Plots,  Trend  Lines,  Two-­‐Way  Tables  1.  The  table  shows  the  amount  of  time  different  students  studied  for  a  test  and  their  test  scores.  

 

 

 a.  Construct  a  scatter  plot  of  the  data.    b.  Is  there  a  positive,  negative,  or  no  association  in  this  data?  ____________________  c.  Is  the  data  linear  or  nonlinear?  ____________________  d.  Identify  any  clusters.  ____________________  e.  Identify  any  outliers.  ____________________  f.  If  a  relationship  exists,  make  a  conjecture  about  the  test  scores  for  a  student  who  studied  for  60  minutes.  ____________________    

2.  Circle  the  graph  with  the  line  that  best  represents  the  data?    a.  Explain  why  you  choose  the  graph.  ________________  ___________________________________________________________  b.  Is  there  a  positive,  negative,  or  no  association  in          this  data?  __________  c.  Is  the  data  linear  or  nonlinear?  ____________________  d.  Identify  any  outliers.  ____________________  e.  Identify  any  clusters.  ____________________    

3.  Draw  a  trend  line  to  fit  the  data.  Write  the  equation  of  your  trend  line.  Identify  any  associations.    

          Equation:             Equation:             ________________             ________________             Associations:             Associations:             _________________________           _________________________           _________________________           _________________________           _________________________           _________________________           _________________________           _________________________  

 

4.    One  hundred  customers  in  a  restaurant  were  asked  whether  they  liked  chicken  or  beef  and  whether  they  liked  rice  or  pasta.  Out  of  30  customers  that  liked  rice,  20  liked  chicken.  There  were  60  customers  that  liked  chicken.  Construct  a  two-­‐way  table  summarizing  the  data.    

 

 

 

 

 

Term 4 Final (& SAGE) Review Part 2 Name: ________________________ Per: ________ Due: A Day: 5/12 - B Day: 5/13 SHOW YOUR WORK FOR FULL CREDIT. NO WORK, NO CREDIT. NO WORK IN PEN.

   Find  the  relative  frequencies  by  column  for  the  two-­‐way  table.  

Page 2: Term 4 Final (& SAGE) Review Part 2 Name: Per: Due: A Day ...emcockemath.weebly.com/.../units_6-10_review.pdf · Unit%8%–%Roots,%Cubes,%and%Rational%vs.%Irrational% Approximate

Unit  7  –  Systems  of  Equations  Solve  the  following  systems  of  equations  by  graphing.  Don’t  forget  to  CHECK  your  answers!    SYW!  

1.  𝑦 = 𝑥 − 2𝑦 =  !!

!𝑥 + 3    2.            

𝑦 = !!𝑥 − 1

𝑦 =  !!!𝑥 + 4

                                                             

           

3.   2𝑦 = 6𝑥 + 4𝑦 = 3𝑥 + 2     4.        

𝑦 =  −2𝑥 + 5𝑦 = !

!𝑥 − 4  

   

 

 

5. Directions: Solve each system of linear equations by choosing the method that you feel is easiest for a given problem (graphing, substitution, or elimination).

a) 2𝑥 − 3𝑦 = 12 𝑥 = 4𝑦 + 1

b) 𝑥 + 𝑦 = 3 3𝑥 − 4𝑦 = −19

c) 𝑦 = 𝑥 − 6 𝑦 = 𝑥 + 2

d) 𝑦 − 2𝑥 = 1 2𝑥 + 𝑦 = 5

e) 𝑥 − 𝑦 = 2 4𝑥 − 3𝑦 = 11

f) 𝑥 − 𝑦 = 0 2𝑥 + 4𝑦 = 18

Page 3: Term 4 Final (& SAGE) Review Part 2 Name: Per: Due: A Day ...emcockemath.weebly.com/.../units_6-10_review.pdf · Unit%8%–%Roots,%Cubes,%and%Rational%vs.%Irrational% Approximate

Unit  8  –  Roots,  Cubes,  and  Rational  vs.   Irrational  Approximate the following square roots to the nearest TENTH without using a calculator. 1. 34 ≈

2. 8 − 19  ≈

4. 95  ≈

5. 117  ≈

 

 

14. 15. Area: ____________________ Area: ____________________ Exact Side Length: ____________________ Exact Side Length: ____________________ Simplified Side Length:______________________ Simplified Side Length:____________________ Approximate Side Length: ____________________ Approximate Side Length: ___________________ 16. Directions: Classify the following numbers as rational or irrational and provide a justification.

Number Rational or Irrational Justification

7

144

313

0.454454445444454……

−19

0. 2

−23.24

−𝜋

The side length of a square with an area of 6

The side length of a square with an area of 25

The side length of the side of a square with an area of 8

Page 4: Term 4 Final (& SAGE) Review Part 2 Name: Per: Due: A Day ...emcockemath.weebly.com/.../units_6-10_review.pdf · Unit%8%–%Roots,%Cubes,%and%Rational%vs.%Irrational% Approximate

17. Simplify the following roots. Root Simplify − 25 27 1! 4 144 8! 128 72

125!

64! Unit  9  –  Exponents  Simplify each expression as indicated. Assume that no denominator is equal to zero.

11. !!𝑤!

!𝑤! !! 12.

!!"!!!!

! !!! !!!!!

!

13. !!!

!!! 14.

!!!!

!!

15. !!!!!

!

!!! !!

16. !!!!!!!!

!!!!!!!!!

 

Solve  each  equation.  

17. 𝑥! = 36  

 

 

18. 𝑦! = 64  

 

19. 𝑥! + 8 = 108  

 

 

20. 74 = 𝑥! − 10  

 

21. 𝑤 = 12  

 

 

22. 𝑦 + 8 = 12