Algebra 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 = 3g - 8

  d = 46 - g

• d = 8 - 2g

  d + g = 46

Tags

CCSS.HSA.CED.A.3

A set of weights includes a 4 lb 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?

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Which situation best represents causation?

• A 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.

Tags

CCSS.HSS.ID.C.9

What is the solution to 8x - 3(2x - 4) = 3(x - 6)?

• 6

• 2

• 30

• No solution

• f(x) = x² + 3x - 4

• f(x) = -x² - 3x + 4

• f(x) = x² - 3x - 4

• f(x) = -x² + 3x + 4

Tags

CCSS.HSF-IF.C.7A

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 f(x) = x² was transformed to create the graph of g(x) = (x - 7.5)² . Which of these describes this transformation?

• 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

• Line q

• Line r

• Line s

• Line t

Tags

CCSS.HSF-IF.C.7E

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