Algebra II Final Exam Review Document

Algebra II FINAL EXAM REVIEW DOCUMENT Multiple Choice: Choose the alternative that best completes the statement or answers the question. ____ 1) ____ 2) ____ 3) Which of the following is NOT a quantity? A. The number of people in a store. B. The height of your home. C. Mr. Peterson. D. Your weight. E. The Length of a yard stick. Which of the following is an example of a varying quantity? A. The amount of coffee consumed by Americans each day. B. The number of students that are still enrolled in your math class today at 2:20 PM. C. The number ounces in a gallon of water. D. The distance around the inside edge of a 400 meter track. E. The length of the Arizona-Utah boarder Which expression represents the change in h from h =5.6 to h = -2.8? A. B. C. D. E. ____ 4) Suppose we want to rank the following objects in order from slowest to fastest. Assume each object is traveling at a constant speed (but not necessarily the same constant speed). Bike: 88 feet in 6 seconds Runner: 109 feet in 15 seconds Car: 70.4 feet in 4 seconds Cat: 13.2 feet in 1.5 seconds Duck: 7.2 feet in 0.6 seconds A. Bike, Car, Cat, Duck, & Runner B. Car, Bike, Duck, Cat, & Runner C. Duck, Cat, Runner, Bike, & Car E. ____ 5) D. Car, Bike, Runner, Cat, & Duck Runner, Cat, Duck, Bike, & Car What does the expression " g  3" represent? A. The change in g over some interval is 3. B. g subtracted from 3. C. The change in g from any possible value of g to g = 3. D. The change in g from g = 3 to any possible value of g. E. g plus the opposite of 3. ____ 6) ____ 7) ____ 8) In the graph below, as the days increase from 4 to 9, what is the corresponding change in height? A. ∆h = 3 B. ∆h = 9 D. ∆h = 6 E. ∆y = 4 Suppose we know that ∆y = –5.8∙∆x. Find the value of ∆y as x changes from x = 1.2 to x = 7.8. A. ∆y = 38.28 B. ∆y = 6.6 D. ∆y = 24.36 E. ∆y = -38.28 C. ∆y = -6.6 Suppose we know that ∆y = -5.8∙∆x and y = 158.04 when x= 1.2. Find the value of y as x changes from x = 1.2 to x = 7.8 A. y = 182.4 B. y = 164.64 C. y = 151.44 D. y = 119.76 ____ 9) C. ∆h = -9 E. y = 196.32 Given that y is a linear function in terms of x given by the equation y  2  x  3  7 , then which of the following statements are accurate descriptions of the implied meaning. i. The graph of the linear function must pass through the point (3, 7). ii. The expression “ x  3 ”represents the change in x from x  3 to any value of x. iii. The expression “ 2( x  3) ”represents the change in y given by the multiplying the constant rate of change with the corresponding change in x from x  3 to any value of x. A. i & iii B. ii & iii D. i only E. iii only C. i, ii, & iii ____ 10) Jim-Bob ships two packages to Santa Barbra using Saguaro Express Shipping. The first package weighed 8.4 lbs. and cost $17.07 to ship, the second package weighed 5.2 lbs. and cost $12.43 to ship. Let w represent the weight of the package being shipped measured in pounds, and c be the cost to ship the package to Santa Barbra in dollars. If there is a constant rate of change of c is with respect to w, then write a formula that relates the varying quantities. A. c  1.45  w  12.43  5.2 B. c  1.45  w  8.4   17.07 C. w  1.45  c  8.4   17.07 D. w  1.45  c  17.07   8.4 E. c  1.45  w  5.2  12.43 ____ 11) Write the formula that defines the linear relationship shown in the graph on the right. A. D. 3  x  2 5 5 y  4    x  5 3 y 1  B. E. 3  x  5 5 5 y 1    x  2 3 y4  ____ 12) Which of the following formulas does NOT define the linear relationship given by the values in the table on the right. A. B. y +6 = 3(x+19) D. y = 3 (x - 1) -2 E. y = 3 (x-4) + 11 ( ____ 13) Which graph correctly represents: A. B. C. D. ) . C. y 5   5  x  4 3 X -6 −2 1 4 C. y +2 = 3 (x - 7) Y -19 -7 2 11 ____ 14) Given that ∆y = -3/2 ∆x and using the point reference in the graph to the right  what is the correct equation of the line: POINT WAS WRONG. SHOULD BE AT (-2,-4) A. ( ) D. ( B. E. ____ 15) Which graph correctly represents: . A. B. C. D. ____ 16) How would you write …a constant change in y with respect to x of 3? …A linear equation defining f with respect to g ) C. ( )