Additional FALL FINAL REVIEW Questions Specific skills to review ο 1. The length of a rectangle is 4 times the sum of the width and 7. Write an expression to represent the perimeter of the rectangle in simplest form. If the perimeter is 106 units, how long is the width of the rectangle? 2. In scatter plots, if the data displays a trend where all data points seem to follow a path, then there exists a correlation. It is positive if the slope of the trend is positive, negative if the slope of the trend is negative, and no correlation if the data points do not follow a trend, such as stars in the sky (points all over the coordinate plane) 3. Evaluate |π(π β π) β π(π + π)| ππππ π = π πππ π = π 4. Evaluate π(π+π)π πβπ ππππ π = π πππ π = βπ 5. Solve ππ β (π + π) = ππ β π(π β π) 6. For a new customer, a video store charges $10 for a rental card plus $2 per movie. Write a variable equation relating the cost for a new customer based on the number of movies rented. Identify the dependent and independent variable. If the customer spent $18, how many movies did he rent? 7. A caterer is designing a wedding cake with f number of tiers that will have a cake topper measuring 4 inches tall. Each tier of the cake will be 5 inches high. Write a function, h(t), that can be used to calculate the total height of the cake in terms of the number of tiers, t, the cake will have, including the cake topper. 8. Identify the domain and the range of the following function. D: ________________________ R: ________________________ 9. Identify the domain and the range of the following relation and state whether it is a function or not. ο· Use the Vertical Line Test on a graph to determine if it is a function 10. Which of the following represent functions? Yes No D: ____________ R: ____________ Yes No D: _______________ R: _______________ Yes No D: _______________ R: _______________ 11. In the problem below, which line contains an error? A. Line 1 β2π₯ β 3(π₯ β 5) = 10 Line 1: β2π₯ β 3π₯ + 15 = 10 Line 2: βπ₯ + 15 = 10 Line 3: βπ₯ = β5 Line 4: π₯=5 Given Distributive Property Combining Like Terms Subtraction Property of Equality Division Property of Equality B. Line 2 D. Line 4 C. Line 3 12. Simplify the following expression π(π β ππ) β π(ππ + π) Yes No D: _______________ R: _______________ 13. If π(π) = ππ β ππ ; then evaluate π(π β π). 14. What is the slope of πππ + ππ = βππ? πΎπππ ππ πππ π β πππππππππ? πΎπππ ππ πππ π β πππππππππ? 15. What is the slope of the y-axis? ___________ Write an equation parallel to the y-axis ________________ What is the slope of the x-axis? ___________ Write an equation parallel to the x-axis ________________ 16. Sketch a graph of the following equations: What if the domain for the first graph was all real numbers greater than 3? What if the range of the second graph was all real numbers less than or equal to -2? π 17. The graph of π(π) = β π π β π is graphed below. If this line is translated 4 units down, which equation best represents the new line? π 18. What is the x-intercept of the following line: π = β π π + π 19. Compare the following two functions: π(π) = π π π π β π πππ π(π) = π π β π Slope: ____________ Is the first line steeper or flatter? __________________ Y-intercept: ________________ X-intercept: ________________ Parallel, perpendicular, or neither: _____________________ 20. Anna earns money by making bracelets. She spent $155 in supplies and will sell each bracelet for $6. Her profit, p, can be represented by p(b)=6b-155, where b is the number of bracelets she sells. What is the minimum number of bracelets Anna must sell to make a profit? If she sells each bracelet for $8, how would that affect her break-even point? ππππ 21. The slope of a line is the same as the rate of change that the variables represent. Slope = πππ Which segment shows the greatest rate of change? Positive or negative? After 10 months: As the loan response decreases, the unemployment rate response _________________ As the securities response increases, the loans response ________________ 22. For the graph shown, if the x-intercept was changed to +2 and the slope remain unchanged how will the graph change? Parallel, perpendicular, neither? ________________ Will lines intersect? ____________ Will they have the same y-intersect? _____________ 23. The total earnings is a function of hours worked. IV _____________________ DV _______________________ C=.10m+30 is a function representing a cell calling plan. IV ___________________ DV ___________________ The gas left in the tank is a function of miles driven. IV ____________________ DV _____________________ L(d)=2+.15d describes the late fee for a library book in terms of # of days late. IV _______________________ DV ______________________ 24. The number of airport shuttle trips by one mini-bus, f(p), needed to transport p number of people in one day π can be found by using the function π(π) = . If there are no more than 1500 persons transported in one day, ππ what is the range of this function for this situation?
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