Algebra, STAAR Prep A-1

Which situation can be represented by y = 12x − 4?

• The number of eggs, y, in x dozen eggs for sale after 4 dozen eggs are sold

• The cost, y, of buying x movie tickets that sell for $8 each

• The cost, y, after a $4 discount, of buying x T-shirts that sell for $12 each

• The number of inches, y, in an x-foot-tall tree cutting off 4 feet

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?

• 50

• 35

• 25

• 60

Which table shows the same rate of change of y with respect to x as  $y\ =\ 4-\frac{5}{8}x$  

• 
• 
• 
• 

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?

• The number of students in the class

• The total number of books to order

• The number of books each student needs

• Not here

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

• −9 and −8

• 1 and 2

• −7 and −5

• 4 and 5

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?

• $f+h\ =\ 40$
  $4h+3f\ =\ 11$

• $f+h\ =\ 11$
  $4h+3f\ =\ 40$
  

• $f+h\ =\ 40$
  $4f+3h\ =\ 11$

• $f+h\ =\ 11$
  $4f+3h\ =\ 40$
  

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?

• The new graph would have a y-intercept at 80.

• The new graph would be steeper than the original graph.

• The new graph would be less steep than the original graph

• The new graph would be less steep than the original graph

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?

• -12

• -6

• 6

• 12

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?

• Every additional 1.95 ft of length over 20 ft adds 45 years to the age of this type of redwood tree.

• For this type of redwood tree, the average height increases by 1.95 ft per year throughout its lifetime.

• Each additional year of age over 20 years adds 1.95 ft to the average height of this type of redwood tree.

• Each additional year of age over 20 years adds 1.95 ft to the average height of this type of redwood tree.

The mapping below represents all of the points on the graph of function f. What is the domain of f ?

• {−4, −1, 0, 2, 7}

• {−5, −4, −1, 0, 1, 2, 4, 7}

• {−5, 0, 1, 2, 4}

• {5}