DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 15)

Problem 1 :

Which expression is equivalent to ⁷√(x⁹y⁹), where x and y are positive?

A)  (xy)^7/9

B)  (xy)^9/7

C)  (xy)¹⁶

D)  (xy)⁶³

Solution :

Problem 2 :

Which of the following equations is the most appropriate linear model for the data shown in the scatterplot?

A)  y = -1.9x - 10.1

B)  y = -1.9 + 10.1

C)  y = 1.9x - 10.1

D)  y = 1.9x + 10.1

Solution :

Problem 3 :

The graph of y = f(x) is shown, where the function f is defined by f(x) = ax³ + bx² + cx + d and a, b, c, and d are constants. For how many values of x does f(x) = 0?

A)  One

B)  Two

C)  Three

D)  Four

Solution :

Problem 4 :

Vivian bought party hats and cupcakes for $71. Each package of party hats cost $3, and each cupcake cost $1. If Vivian bought 10 packages of party hats, how many cupcakes did she buy?

Solution :

Problem 5 :

Bacteria are growing in a liquid growth medium. There were 300,000 cells per milliliter during an initial observation. The number of cells per milliliter doubles every 3 hours. How many cells per milliliter will there be 15 hours after the initial observation?

A)  1,500,000

B)  2,400,000

C)  4,500,000

D)  9,600,000

Solution :

Problem 6 :

Which expression is equivalent to 6x⁸y² + 12x²y²?

A)  6x²y²(2x⁶)

B)  6x²y²(x⁴)

C)  6x²y²(x⁶ + 2)

D)  6x²y²(x⁴ + 2)

Solution :

Problem 7 :

f(x) = 4x² + 64x + 262

The function g is defined by g(x) = f(x + 5). For what value of x does g(x) reach its minimum?

A)  -13

B)  -8

C)  -5

D)  -3

Solution :

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Digital SAT Problems and Solutions (Part - 1)

Digital SAT Problems and Solutions (Part - 2)

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Digital SAT Problems and Solutions (Part - 15)

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