Algebra 2 CP Midterm Review

Front

What is the vertex form of a quadratic equation?

Back

The vertex form of a quadratic equation is given by: y = a(x - h)² + k, where (h, k) is the vertex of the parabola.

Front

How do you find the vertex of a parabola given in standard form?

Back

To find the vertex of a parabola given in standard form y = ax² + bx + c, use the formula: h = -b/(2a) and k = f(h).

Front

What is the factored form of the difference of squares?

Back

The factored form of the difference of squares is: a² - b² = (a + b)(a - b).

Front

How do you solve a linear equation?

Back

To solve a linear equation, isolate the variable on one side of the equation using inverse operations.

Front

What is the definition of tangent in trigonometry?

Back

In trigonometry, tangent (tan) is defined as the ratio of the opposite side to the adjacent side in a right triangle.

Front

What is the quadratic formula?

Back

The quadratic formula is used to find the roots of a quadratic equation: x = (-b ± √(b² - 4ac)) / (2a).

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide the numerator and the denominator by their greatest common divisor (GCD).

Front

What is the process for factoring a trinomial?

Back

To factor a trinomial of the form ax² + bx + c, find two numbers that multiply to ac and add to b, then rewrite the trinomial as a product of two binomials.

Front

What is the relationship between the roots and the coefficients of a polynomial?

Back

For a quadratic polynomial ax² + bx + c, the sum of the roots is -b/a and the product of the roots is c/a.

Front

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

Back

The discriminant (D = b² - 4ac) determines the nature of the roots: D > 0 means two distinct real roots, D = 0 means one real root, and D < 0 means no real roots.