STAAR Algebra 1 Review Flashcard #1

Front

What is the solution set for the inequality -4x + 10 ≥ 5x + 55?

Back

x ≤ -5

Front

What is the range of the quadratic function y = -x^2 - 2x + 3?

Back

y ≤ 4

Front

What is the range of an exponential function graphed on a grid if it appears to be between 5.3 and 27?

Back

5.3 ≤ y ≤ 27

Front

How do you solve the equation 4(0.5n - 3) = n - 0.25(12 - 8n) for n?

Back

n = -9

Front

What is the value of f(16) for the function f(x) = (1/3)(4 - x)^2?

Back

48

Front

What is the vertex form of a quadratic function?

Back

y = a(x - h)^2 + k, where (h, k) is the vertex.

Front

How do you find the vertex of a quadratic function in standard form?

Back

Use the formula x = -b/(2a) to find the x-coordinate, then substitute back to find the y-coordinate.

Front

What is the significance of the discriminant in a quadratic equation?

Back

The discriminant (b^2 - 4ac) determines the nature of the roots: two real roots, one real root, or no real roots.

Front

What is the general form of an exponential function?

Back

y = ab^x, where a is the initial value and b is the growth/decay factor.

Front

How do you determine the range of a quadratic function?

Back

Identify the vertex and the direction of the parabola (upward or downward) to find the maximum or minimum value.