Flashcard on Algebra 2 released test - 2O, 4O - Dec 10 2024

Front

What is a zero of a function?

Back

A zero of a function is a value of x that makes the function equal to zero.

Front

How do you find the zeros of the function f(x) = (x - 4)(3x - 1)(x + 5)?

Back

Set each factor equal to zero: x - 4 = 0, 3x - 1 = 0, x + 5 = 0. The zeros are x = 4, x = 1/3, and x = -5.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables.

Front

How do you solve a system of equations graphically?

Back

Graph each equation on the same coordinate plane and identify the point(s) where the graphs intersect.

Front

What does it mean for a system of equations to have no solution?

Back

It means that the equations represent parallel lines that never intersect.

Front

What does it mean for a system of equations to have infinitely many solutions?

Back

It means that the equations represent the same line, so every point on the line is a solution.

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into simpler components (factors) that, when multiplied together, give the original expression.

Front

How do you factor a quadratic expression like 4h² - 17h + 4?

Back

Look for two numbers that multiply to (4 * 4) and add to -17. The factors are (h - 4)(4h - 1).

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the solutions of ax² + bx + c = 0.

Front

What is the process to factor x² + 9x - 36?

Back

Find two numbers that multiply to -36 and add to 9. The factors are (x + 12)(x - 3).