2024 STAAR Review Flashcards

Which expression is equivalent to $$\frac{1}{3}(6x^2y^{ })^2(2x^3y^4)$$ for all values of x and y where the expression is defined?

The graph of a line is represented by the equation 5x – 8y = 40. What is the rate of change of y with respect to x?

What is the range of the function $$f(x) = -x^2 + 60x$$ ?

Which statement about the graph of $$y = 16(0.5)^x$$ is NOT true? Options: A. The y-intercept is (0, 16). B. The graph is decreasing for all values of x. C. The x-intercept is (0.5, 0). D. The graph has a horizontal asymptote at y = 0.

Cost of 1 cup of coffee given: - 1st customer: $4.90 for 1 coffee, 2 doughnuts - 2nd customer: $8.60 for 2 coffees, 3 doughnuts

The graph of a linear function is shown. Which function best represents the relationship shown in the graph?

Which function is equivalent to $$6x^2 - 23x + 21$$ ? Options: f(x) = (3x - 7)(2x - 3), f(x) = 3(x - 1)(2x - 7), f(x) = (6x - 7)(x - 3), f(x) = 3(x - 7)(2x - 1)

Solve for x: $$3x^2 - 2x - 5 = 0$$

The table represents some points on the graph of an exponential function.
| x | g(x) |
|---|------|
| 1 | 48 |
| 2 | 72 |
| 3 | 108 |
| 4 | 162 |
Which function represents the relation shown in the table? Options: g(x) = 32( $$\frac{2}{3}$$ )^x, g(x) = 48( $$\frac{2}{3}$$ )^x, g(x) = 32( $$\frac{3}{2}$$ )^x, g(x) = 48( $$\frac{3}{2}$$ )^x

The quadratic function f(x) = x² is transformed to create g as shown in the graph. What is the equation for g?