Algebra I Review

Front

What is the result of simplifying (2x^7)^3?

Back

8x^21

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope m is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the formula to solve for v in the equation C = xv + x?

Back

v = (C - x) / x.

Front

What is the formula for the perimeter of a rectangle with length l and width w?

Back

Perimeter = 2l + 2w.

Front

What is the definition of a parabola?

Back

A parabola is the graph of a quadratic function, which is a U-shaped curve.

Front

What is the standard form of a quadratic function?

Back

The standard form is f(x) = ax^2 + bx + c, where a, b, and c are constants.

Front

How do you determine if a quadratic function opens upwards or downwards?

Back

If the coefficient a > 0, it opens upwards; if a < 0, it opens downwards.

Front

What is the vertex of a parabola in the standard form of a quadratic function?

Back

The vertex is the point (h, k) where h = -b/(2a) and k = f(h).

Front

What is the quadratic formula used for?

Back

The quadratic formula is used to find the roots of a quadratic equation: x = (-b ± √(b^2 - 4ac)) / (2a).

Front

What is the relationship between the slope of a line and its angle of inclination?

Back

The slope of a line is the tangent of the angle of inclination with the positive x-axis.