STAAR Review 1

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A drummer and a guitarist each wrote songs for their band. The guitarist wrote 8 fewer than twice the number of songs that the drummer wrote. They wrote a total of 46 songs.

Which system of equations models this situation if the drummer wrote d songs and the guitarist wrote g songs?

• g = 2d - 8

  g + d = 46

• g =8 - 2d

  g = 46 - d

• d = 2g - 8

  d = 46 - g

• d =8 - 2g

  d + g = 46

Which graph best represents the solution set of y≤ 4x ?

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• A horizontal shift to the right 7.5 units

• A horizontal shift to the left 7.5 units

• A vertical shift down 56.25 units

• A vertical shift up 56.25 units

A set of weights includes a 4lb barbell and 6 pairs of weight plates.

Each pair of plates weighs 20 lb. If x pairs of plates are added to the barbell, the total weight of the barbell and plates in pounds can be represented by f(x) = 20x+ 4.

What is the range of the function for this situation?

• {0,1,2,3,4,5,6}

• {4,24,44,64,84,104,124}

• {0,2,4,6}

• {4,44,84,124}

The area of a rectangle is 54x⁹y⁸ square yards. If the length of the rectangle is 6x³y⁴ which expression represents the width of the rectangle in yards?

• 9x³y²

• 48x⁶y⁴

• 9x⁶y⁴

• 60x¹²y¹²

The total number of seats in an auditorium is modeled by

f(x) = 2x² - 6x, where x represents the number of rows of seats. How many rows are there in the auditorium if it has a total of 416 seats?

• 32

• 13

• 20

• 16

The graph of an exponential function is shown on the grid.

Which dashed line is an asymptote for the graph?

• Line q

• Line r

• Line s

• Line t

Which situation best represents causation?

• When the number of bus stops increases, the number of car sales decreases.

• When fewer firefighters report to a house fire, the damage caused by the fire decreases.

• When ice cream sales increase, incidents of sunburn increase.

• When it rains several inches, the water level of a lake increases.