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2014 algebra I EOC part STAAR II #6to 10 TEA End of Course

1 Which situation can be represented by y=12x−4?A The number of eggs, y, in x dozen eggs for sale after 4 dozen eggs are soldB The cost, y, of buying x movie tickets that sell for $8 eachC The cost, y, after a $4 discount, of buying x T-shirts that sell for $12 eachD The number of inches, y, in an x-foot-tall tree after cutting off 4 feet

2 The scatterplot shows the number of free throws that different basketball players attempted and the number that each player made.

Based on the trend in the data, approximately how many free throws would a player be expected to make if he attempted 60 free throws?F 50G 35H 25J 60

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53 Which table shows the same rate of change of y with respect to x as y=4−x?8

4 A teacher will determine the total number of books to order for a class using the function b(n)=4n, where n represents the number of students in the class. What is the independent quantity in this situation?F The number of students in the classG The total number of books to orderH The number of books each student needsJ Not here

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5 The graph of quadratic function g is shown below.

Based on the graph, between which two values of x is a zero of g located?A −9 and−8B 1 and 2C −7 and−5D 4 and 5

6 A college student needs 11 classes that are worth a total of 40 credits in order to complete her degree. The college offers both 4-credit classes and 3-credit classes. Which system of equations can be used to determine f, the number of 4-credit classes the student can take to complete her degree, and h, the number of 3-credit classes? F f+h=404h+3f=11G f+h=114h+3f=40H f+h=404f+3h=11J f+h=114f+3h=40

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7 The graph shows the time it took a worker to package 16 bottles of shampoo.

The next day two workers packaged twice the number of bottles of shampoo in the same amount of time. If this new relationship is graphed on the same coordinate grid, which statement is true?A The new graph would have a y-intercept at 80.B The new graph would be steeper than the original graph.C The new graph would be less steep than the original graph.D The new graph would have a y-intercept at 8.

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8 The side lengths of the figure below are given in centimeters.

If the perimeter of this figure is 78 cm, what is the value of x?F −12G −6H 6J 12

9 One type of redwood tree has an average height of 65 feet when it is 20 years old. If the tree is more than 20 years old, the average height, h, can be modeled by the function h=1.95(a−20)+65, where a is the age of the tree in years. Which statement about this situation is true?A Every additional 1.95 ft of length over 20 ft adds 45 years to the age of this type of redwood tree.B For this type of redwood tree, the average height increases by 1.95 ft per year throughout its lifetime.C Each additional year of age over 20 years adds 1.95 ft to the average height of this type of redwood tree.D For this type of redwood tree, the average height increases by 65 ft for every 20 years of growth.

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10 The mapping below represents all of the points on the graph of function f.

What is the domain of f?F {−4, −1, 0, 2, 7}G {−5, −4, −1, 0, 1, 2, 4, 7}H {−5, 0, 1, 2, 4}J {5}

11 What is the value of x in the solution to the system of equations below?15x−12y=1330x+9y=417A −31B 32C −31D 6

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12 The length, in feet, of a small train at an amusement park can be modeled by the function f(c)=9c+14, where c is the number of passenger cars attached to the locomotive. The original passenger cars were replaced, and the length of the train is now modeled by the function h(c)=12c+14. Based on this information, which statement describes the change in this situation?F The locomotive is now 9 feet long, and the length of each passenger car remained the same.G The locomotive is now 12 feet long, and the length of each passenger car remained the same.H Each passenger car is now 9 feet long, and the length of the locomotive remained the same.J Each passenger car is now 12 feet long, and the length of the locomotive remained the same.

13 The table of values for quadratic function g is shown below.

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