Starr Algebra

Which value of \(x\) is the solution to this equation? 5x^2 = 30x - 45

• x = 3

• x = -3

• x = 5

• x = -5

A florist is making bouquets of flowers for a wedding. Each bouquet will have 9 flowers. The graph shows the linear relationship between y, the number of flowers used, and x, the number of bouquets. The florist will use no more than 8 bouquets for the wedding. Which set best represents the domain of the function for this situation?

• {0, 2, 4, 6, 8, 10}

• {0, 1, 2, 3, 4, 5, 6, 7, 8}

• {0, 18, 36, 54, 72, 90}

• {0, 9, 18, 27, 36, 45, 54, 63, 72}

Which equation in slope-intercept form best represents the line that passes through these two points?

• y = -2/3x - 11/3

• y = -11/3x - 2/3

• y = -2/3x - 10/3

• y = -10/3x - 2/3

The graph of quadratic function r is shown on the grid. Which answer choice best represents the intercepts of the graph of r?

• x-intercepts: (-10, 0) and (2, 0) y-intercept: (0, -5)

• x-intercept: (5, 0) y-intercepts: (0, 10) and (0, -2)

• x-intercepts: (0, -10) and (0, 2) y-intercept: (-5, 0)

• x-intercept: (0, 5) y-intercepts: (10, 0) and (-2, 0)

An exponential function is graphed on the grid.

• p(x) = (0.25)^x

• p(x) = 2(0.5)^x

• p(x) = (1.25)^x

• p(x) = (25)^x

Which expression is equivalent to (n - 4)(2n + 7)?

• 3n + 3

• n - 28

• 2n^2 - 15n - 28

• 2n^2 - n - 28

Which answer choice describes how the graph of f(x) = x^2 was transformed to create the graph of n(x) = x^2 - 1?

• A vertical shift up

• A horizontal shift to the left

• A vertical shift down

• A horizontal shift to the right

The expression d^2 - d - 6 can be written in factored form as (d + 2)(d + k), where k represents a number. What is the value of k?

• 2

• -3

• 3

• -2

The graph of a linear function is shown on the grid. Which equation is best represented by this graph?

• y = -7/4x + 4

• y = -7/4x + 7

• y = -4/7x + 4

• y = -4/7x + 7

What is the value of the y-intercept of the graph of h(x) = 12.3(4.9)^x?

• A) 12.3

• B) 4.9

• C) 0

• D) 1