Algebra 1 End of Year Practice

Front

What are the roots (solutions) of a quadratic equation?

Back

The roots (solutions) of a quadratic equation are the values of x that make the equation equal to zero. They can be found using factoring, completing the square, or the quadratic formula.

Front

What is the axis of symmetry in a parabola?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves. It can be found using the formula x = -b/(2a) for a quadratic equation in the form ax^2 + bx + c.

Front

What is the vertex of a parabola?

Back

The vertex is the highest or lowest point of the parabola, depending on its orientation. It can be found using the coordinates (h, k) where h = -b/(2a) and k is the value of the function at h.

Front

What is the y-intercept of a function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis. It can be found by evaluating the function at x = 0.

Front

How do you factor a quadratic equation?

Back

To factor a quadratic equation of the form ax^2 + bx + c, find two numbers that multiply to ac and add to b, then rewrite the equation as (x + m)(x + n) where m and n are the two numbers.

Front

What are x-intercepts?

Back

X-intercepts are the points where the graph of a function crosses the x-axis. They can be found by setting the function equal to zero and solving for x.

Front

What is a common ratio in a geometric sequence?

Back

The common ratio is the factor by which each term in a geometric sequence is multiplied to get the next term. It can be found by dividing any term by the previous term.

Front

What is the quadratic formula?

Back

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

Front

What does it mean to complete the square?

Back

Completing the square is a method used to solve quadratic equations by rewriting the equation in the form (x - p)² = q, making it easier to solve for x.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.