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.
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
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
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
