NYS Algebra Regents

The graph of y = f(x) is shown below.

• Graph option 1

• Graph option 2

• Graph option 3

• Graph option 4

The length of a rectangular flat-screen television is six inches less than twice its width, x. If the area of the television screen is 1100 square inches, which equation can be used to determine the width, in inches?

• 2x(x - 6) = 1100

• x(6 - 2x) = 1100

• 2x + 2(2x - 6) = 1100

• 2x + 2(6 - 2x) = 1100

What is the product of (2x + 7) and (x - 3)?

• 2x^2 - 21

• 2x^2 + x - 21

• 2x^2 + 4x - 21

• 2x^2 + 13x - 21

What is the degree of the polynomial 2x + x^3 + 5x^2?

• 1

• 2

• 3

• 4

What is the solution to -3(x - 6) > 2x - 2?

• x > 4

• x < 4

• x > -16

• x < -16

Three expressions are shown below. I. (x^3)^3 II. x^4 * x^5 III. x^10 * x^-1 Which expressions are equivalent for all positive values of x?

• I and II, only

• II and III, only

• I and III, only

• I, II, and III

Jim uses the equation A = P(1 + 0.05)^t to find the amount of money in an account, A, of an investment, P, after t years. For this equation, which phrase describes the yearly rate of change?

• decreasing by 5%

• decreasing by 0.05%

• increasing by 5%

• increasing by 0.05%

What are the zeros of m(x) = x(x^2 - 16)?

• -4 and 4, only

• -8 and 8, only

• -4, 0, and 4

• -8, 0, and 8

For which function is the value of the y-intercept the smallest?

• f(x)

• g(x)

• h(x)

• k(x)

The function f is graphed on the set of axes below. What is a possible factorization of this function?

• f(x) = (x - 1)(x + 3)

• f(x) = (x + 1)(x - 3)

• f(x) = (x + 1)(x - 4)

• f(x) = (x - 1)(x + 4)