2021- STAAR ALG 1 Released

Front

What are the zeros of the function g(x) = x² - 6x - 16?

Back

The zeros are -2 and 8, because the factors of g are (x + 2) and (x - 8).

Front

How do you solve the equation 4(y - 3) + 19 = 8(2y + 3) + 7?

Back

The solution is y = -2.

Front

What is the factored form of the quadratic expression 2x² - 25x + 63?

Back

The factored form is (x - 9)(2x - 7).

Front

What is the value of p(7) for the function p(x) = -4(x - 15)² + 2?

Back

The value of p(7) is -254.

Front

If the graph of f(x) = x² is translated 4.5 units to the left, what is the new function g(x)?

Back

g(x) = (x + 4.5)².

Front

What is the vertex form of a quadratic function?

Back

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

Front

How do you find the x-intercepts of a quadratic function?

Back

Set the function equal to zero and solve for x.

Front

What is the quadratic formula used for?

Back

The quadratic formula is used to find the solutions (roots) of a quadratic equation ax² + bx + c = 0.

Front

What does it mean for a function to be factored?

Back

A function is factored when it is expressed as a product of its linear factors.

Front

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

Back

The discriminant (b² - 4ac) determines the nature of the roots: two real and distinct, one real and repeated, or two complex.