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A 2nd Semester Review Day 1 Name_______________________BDFM?______Why?____________________________1. Consider the following data:
2, 4, 6, 1, 2, 3, 4, 1, 2, 3, 3, 2, 1, 2, 2, 4
a) Find the mean b) Find the median
c) Represent the data using a BOX PLOT. Circle your choice.
2. Consider the histogram. a. How many students took the test?
b. How many students earned a 91-100?
b. How many students earned a 71 or higher?
3. Consider the dataThe table below gives the number of hours spent studying for a biology exam and the exam grade.
a. Find the equation for the line of best fit.
b. Use a calculator to find the linear regression.
Linear regression
r-value
Type of correlation
4. Oscar invests $9000 in a prestigious peanut butter firm but loses 7% per year on the investment. How much does he have after 13 years?
5. Kaylee deposits 200$ into a bank account. Every week she adds 20$. How much she have after 17 weeks?
Solve.
6. A $750 computer is on sale at 20% off. How much does it cost?
7. Your car insurance was $320 last year. This year the cost has increased 2.6%. How much does it cost?
8. Simplify.7 xx8 xx x7 yx8 y 3 x6⋅6x8
( x5 y3 )8 (9 x4 y3 )2 y−7
1y−4
x2 y6
x6 y35x8 y3
6 x3 y7
4 x5 y4
14 x4 y5x7 xx2 xx11 (3√x2+8x+1)0
Find the equation (linear or exponential based on the table/graph)9.x y0 2501 3252 422.5
10. 11. 12.x y0 41 102 16
Consider13.
4, 10, 16, 22, _____, _____
Arithmetic or Geometric?
Formula:
14.
.5, 1.5, 4.5, 13.5, _____, _____
Arithmetic or Geometric?
Formula:
A 2nd Semester Review Day 2 Name_______________________BDFM?______Why?____________________________Graph. Find the domain and range.
15. y=√x+9 16. 17. y=−x2+6 x
Consider:
18. Find the sum of the first 4 terms. Show all work. f ( x ) g(x )
Consider the following equations, and calculate or solve accordingly. f (x)=√x−9 g ( x )=x2−9 h ( x )=−9 x+3
19. h ( x )=−15 20. f ( x )=4 21. g ( x )=72
22. Fill out the table to represent the inequality in multiple ways.Inequality: x≤10 Words: Number line: Three examples:
23.Inequality: Words: Number line: Three examples:
Solve for x and draw a number line.
Domain:
Range:
X-Intercepts:
Y-Intercepts:
Domain
Range
Function? Yes or no
Domain:
Range:
X-Intercepts:
Y-Intercepts:
f ( x )=5 x−3 g ( x )=6(2)x
24. 5 x+6>3 x+20 25. 7 x−1≤34 26. x+2(3 x−4 )<13
27. Write an inequality for the wordsa) Oscar’s wallet has more than $30 in it.
b) They definitely scored less than 9 points on us
c) The repair will cost at least $125 but no more than $500
28. Solve.An Uber charges a flat rate of $2.75, plus an additional $0.85 per mile. If $ean$way has at most $10 to spend on the Uber ride, how far could he travel?
Consider.
29. Graph y< 23x−1
.
Three solutions:
30. Write the inequality
Inequality:
31. Find three solutions to the system
y≤−x2+6y>4 x−8 .
Three Solutions: