Nys Regents Algebra

What is the value of x in the equation (5/3)(2x - 4) + 9 = 14?

• 9

• 5

• 3.5

• 8.9

Tables of values for four functions are shown below. Which table best represents an exponential function?

• f(x)

• g(x)

• h(x)

• j(x)

Solve the equation x² + 3x – 9 = 0 algebraically for all values of x. Round your answer to the nearest hundredth.

Graph the system of equations: 2x + y = 5 and x - y = 1.

• A dashed line with slope 2 and y-intercept 1, with shading above the line

• A solid line with slope 2 and y-intercept 1, with shading below the line

• A dashed line with slope -2 and y-intercept 1, with shading above the line

• A solid line with slope -2 and y-intercept -1, with shading below the line

**HINT: make y1 the left side and y2 the right then find their intersection

The expression (3x^2 + 4x – 8) + 2(11 – 5x) is equivalent to

• 3x^2 – x + 5

• 3x^2 – x + 14

• 3x^2 – 6x + 14

• 3x^2 + 14x + 14

Which point is a solution to y = x^3 – 2x^2?

• (–3,–21)

• (–2,10)

• (1,1)

• (4,2)

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