5.2 Warm Up

Front

Factor: 8n^3 + 2n^2

Back

2n^2(4n + 1)

Front

Find the vertex of y = x^2 - 2x - 5

Back

V(1, -6)

Front

Factor: 80x^5 - 70x^2 - 60x^7

Back

10x^2(8x^3 - 7 - 6x^5)

Front

Give the solution set for: -13 < 2x + 5 < 15

Back

-9 < x < 5

Front

Find the solution of the system of linear equations: 3x - 2y = 12, 2x + y = 1

Back

(2, -3)

Front

What is the definition of factoring in algebra?

Back

Factoring is the process of breaking down an expression into a product of simpler factors.

Front

What is the vertex form of a quadratic equation?

Back

The vertex form is y = a(x - h)^2 + k, where (h, k) is the vertex.

Front

What is the quadratic formula?

Back

x = (-b ± √(b^2 - 4ac)) / (2a) for the equation ax^2 + bx + c = 0.

Front

What does it mean for a system of equations to be consistent?

Back

A system is consistent if it has at least one solution.

Front

What is the difference between a linear equation and a quadratic equation?

Back

A linear equation is of the first degree (e.g., y = mx + b), while a quadratic equation is of the second degree (e.g., y = ax^2 + bx + c).