Review for Algebra Final Exam 2015

Transcription

1 Review for Algebra Final Exam 2015 Could the data in the table represent a linear model. If Linear write an equation to model the relationship. x Y Could the data in the table represent a linear model. If Linear, write an equation to model the relationship. x Y Numbers in a sequence are shown in the table below. Stage Number Number ) Write a recursive rule for the number in each stage. 2) Write an explicit rule for the number in stage n 3) Use the explicit rule to find the number in stage 100 1

2 Stage 1 Stage 2 Stage 3 Simplify f(x) = 3x + 4x + 2( x + 3) 1) Write a recursive rule for the number in each stage. Find the f(8). 2) Write an explicit rule for the number in stage n 3) Use the explicit rule to find the number in stage 200 Find x, if f(x) = 501 Billy designs apps for cell phones.. At&t offers him a job for $3000 per month, plus $100 for each app that he develops. Frontier offers him $4000 per month, plus $50 for each app that he develops. 1) Define variables. 2) Write an equation for At&t. 3) Write an equation for Frontier. 4) What is the solution to the system of equations. Write as a coordinate. 5) Interpret the solution in the context of the problem. The data in the table represents the height and the shoe size of several students. Height (inches) Shoe Size ) Use your graphing calculator to write an equation of the trend line. If necessary round to the nearest hundredth. 2) What is the rate of change of your trend line? What does it mean in the context of the problem. Include units. 3) What is the correlation coefficient (round to the nearest hundredth). Explain what it means in the context of the problem. 2

3 Student scores on last years Algebra Final Exam are: 98, 100, 75, 77, 88, 91, 93, 32, 76, 82, 94, 99, 81, 88, 96, 88, 85, 88 1) Use your graphing calculator to help you complete the table below. If necessary round to the nearest hundredth. Minimum Q1 Median Q3 Maximum Range Mean Mode IQR 3) Create a box and whisker plot with outliers. 2) Identify the scores that are outliers. Explain why they are outliers using the 1.5 x IQR rule. 4) Complete the frequency table and create a histogram. Label the axes. Bin Frequency 0 x < x < x < x < x < x < x < x < x < x < x < 110 The eighth grade is planning a field trip to Hammonasset State Park. If they take 5 busses and 4 vans they can transport 298 students. If they take 4 busses and 8 vans they can transport 296 students. How many students can be transported in a bus and in a van? 1) Define variables. 2) Write a system of equations. 3) Solve the system of equations. 4) Interpret the solution in the context of the problem. 3

4 Solving Equations Solving Equations (x + 5) = 1/3(30x + 60) Solving Equations 3x 5 2(x + 5) = (2x 15) Solving Equations 8 + 4( x + 7 ) = 1/4( 20x + 36) 4

5 Solving Equations x Solve and Graph 2x + 8 3(x + 4) < 24 Solving Literal Equations The perimeter of a rectangle can be found using the formula P = 2L + 2w. Solve the formula for L. 5

6 Use the vertical line test to determine if the following relations graphed are functions. Use the graph with the line drawn. 1) What is the x intercept? 2) What is the y intercept? 3) What is the slope of the line graphed? 4) What is the equation in slopeintercept form for the line graphed? 5) Transform the equation to Standard Form. When the temperature is 70 degrees Fahrenheit a cricket chirps 30 times per minute. When the temperature is 90 degrees Fahrenheit a cricket chirps 70 times per minute. This relationship is linear. 1) Write a linear equation modeling this situation. Factor Completely 36x ) If the temperature is 100 degrees Fahrenheit, how many times per minute would the cricket chirp? 3) If the cricket is chirping 10 times per minute, what is the temperature in degrees Fahrenheit? 6

7 Factor Completely X 4 16 Factor Completely 2x 2 6x 56 Factor Completely 3n 4 3 Factor Completely 9n n 2 45n 7

8 Graph y = 0.5x 2 using the table provided below Graph y = x 2 4 using the table provided below x y x y Graph y = 2x 2 4x + 3 using the graph below. 8

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