A Second Semester Review Name___________________________BDFM?______Why?__________________________2. 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 box and whisker plots.a. What’s the maximum amount of screen time?

b. What’s the median amount of homework time?

c. What’s the median amount of screen time?

d. If you spend 60 minutes on homework, how do you compare to the rest of the students?

e. If you spend 60 minutes on a screen, how do you compare to the rest of the students?

4. A line has a slope of 4 and goes through the point (3, 5).a. Find the equation of the line using the slope intercept form.

b. Find the equation of the line using point slope form.

5. 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

6. 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?

7. Roberta deposits 200$ into a bank account. Every week she adds 20$. How much she have after 17 weeks?

Solve. 8. A $750 computer is on sale at 20% off. How much does it cost?

9. Your car insurance was $320 last year. This year the cost has increased 2.6%. How much does it cost?

19. Simplify.7 xx8 xx x7 yx8 y 3 x6⋅6x8

( x5 y3 )8 (9 x4 y3)2 y−7

1y−4

x2 y6

x6 y35 x8 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)11. x y0 2501 3252 422.5

12. x y0 2001 2752 350

13. x y0 7001 5252 393.75

14.x y0 41 102 16

Find the equation based on the graph. 15.

Equation:

16.

Equation:

17.

Equation:

18.

Equation:

Consider:

1. Find the sum of the first 4 terms. Show all work. f ( x ) g(x )

Consider2.

4, 10, 16, 22, _____, _____

Arithmetic or Geometric?

Formula:

3.

.5, 1.5, 4.5, 13.5, _____, _____

Arithmetic or Geometric?

Formula:

f ( x )=5 x−3 g ( x )=6(2)x

8. Cahlil decided to buy new headphones using his Bank of America Travel Rewards Credit Card. He bought the headphones for $150 and decided to make a $30 payment each month. The credit card company charges him a 16% interest rate at the end of each month, after he pays his $30. Starting Balance: Interest Rate: Multiplier: Monthly Payment:

Month # Balance at start of month

Payment Remaining Balance

Interest Calculation

Balance at end of month

9. How long does it take Cruiz to pay off the credit card?

10. The initial debt was $150. How much did Cruiz end up paying?

Solve for x.(2 x+3 ) ( x−5 )=0 x2−8 x−20=0 9 x+5=12 x−10 −4 x+10 x=48

Find the domain and range.

1. 2. 3.

Graph. Find the domain and range. 4. y=√x+9 5. y=x2+8 x+7 6. y=−x2+6 x

Consider the following equations, and calculate or solve accordingly. f (x)=√x−9 g ( x )=x2−9 h ( x )=−9 x+3

12. h(12) 13. f ( x )=4 14. g(−3)

Domain

Range

Function? Yes or no

Domain

Range

Function? Yes or no

Domain

Range

Function? Yes or no

Domain:

Range:

X-Intercepts:

Y-Intercepts:

Domain:

Range:

X-Intercepts:

Y-Intercepts:

Domain:

Range:

X-Intercepts:

Y-Intercepts:

15. h ( x )=−15 16. f (13) 17. g ( x )=72

Consider the following.4. y=√x+9 6. y=−x2+6 x 9. x-values: The curve lives

between -4 and -1.y-values: The curve lives between -8 and -2

1. Fill out the table to represent the inequality in multiple ways.Inequality: x≤10 Words: Number line: Three examples:

Domain:

Range:

X-Intercepts:

Y-Intercepts:

Domain:

Range:

X-Intercepts:

Y-Intercepts:

3.Inequality: Words: Number line: Three examples:

Solve for x and draw a number line.5. 5 x+6>3 x+20 6. 7 x−1≤34 7. x+2(3 x−4 )<13

11. 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

15. 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.

8. Graph y< 23x−1

.

b) Write the inequality 13. Find three solutions to the system

y≤−x2+6y>4 x−8 .

Three solutions:

Inequality:

Three Solutions: