Algebra Final Review

Which expression is equivalent to the expression above?

• 3√7

• 7√3

• 21√7

• 49√3

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

• 9x³y²

• 48x⁶y⁴

• 9x⁶y⁴

• 60x¹²y¹²

A shoe company is going to close one of its two stores and combine all the inventory of both stores. These polynomials represents the inventory in each store:

Which expression represents the combined inventory of the stores?

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Tags

CCSS.HSA.APR.A.1

Which expression is equivalent to 6x² + 13x + 5?

• (2x + 5)(3x - 1)

• (2x - 5)(3x +1)

• (2x + 1)(3x + 5)

• (2x - 1)(3x -5)

The expression (x³)(x^-17) is equivalent to xⁿ. What is the value of n?

• -14

• -20

• 51

• 14

A sequence can be generated by using a_n = 4a_(n-1) , where a₁ = 6 and n is a whole number greater than 1. What are the first four terms in the sequence?

• 6, 24, 96, 384

• 6, 10, 14, 18

• 6, 20, 100, 500

• 6, 20, 76, 300

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

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?

• {0, 1, 2, 3, 4, 5, 6}

• {4, 24, 44, 64, 84, 104, 124}

• {0, 2, 4, 6}

• {4, 44, 84, 124}

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

• 6

• 2

• 30

• No Solution

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

What is the equation in slope-intercept form of the line that passes through the points (-4, 47) and (2, -16)?

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