Fall 24 Algebraic Reasoning Final Exam Review Part 3

Front

What is the factor of 6x² - 24x?

Back

6x(x - 4)

Front

Factor: 4x² - 25

Back

(2x + 5)(2x - 5)

Front

Solve Using the Quadratic Formula: x² + 4x - 40 = -8

Back

x = -8 & x = 4

Front

Does the equation Y = -3x² + 7x - 2 open up or down?

Back

down

Front

Use the quadratic formula to determine the solutions: 2x² - 9x - 35 = 0

Back

x = -5/2, x = 7

Front

What is the Quadratic Formula?

Back

x = (-b ± √(b² - 4ac)) / (2a)

Front

What does it mean for a quadratic equation to open up or down?

Back

It depends on the sign of the leading coefficient (a). If a > 0, it opens up; if a < 0, it opens down.

Front

What is the difference between factoring and expanding in algebra?

Back

Factoring breaks down an expression into simpler components, while expanding multiplies out the components.

Front

What is a perfect square trinomial?

Back

A trinomial that can be expressed as the square of a binomial, e.g., (a + b)² = a² + 2ab + b².

Front

How do you determine the vertex of a parabola given by the equation y = ax² + bx + c?

Back

The vertex can be found at x = -b/(2a).