Algebra 2 Review

Front

What is the factored form of 3a^2 + 4a + 1?

Back

(3a+1)(a+1)

Front

How do you find the axis of symmetry for a quadratic equation?

Back

The axis of symmetry for a quadratic equation in the form y = ax^2 + bx + c is given by the formula x = -b/(2a).

Front

What is the axis of symmetry for the equation y = 3x^2 - 6x + 4?

Back

x = 1

Front

How do you solve a system of equations using substitution or elimination?

Back

To solve a system of equations, isolate one variable in one equation and substitute it into the other equation, or add/subtract the equations to eliminate one variable.

Front

What is the solution for the system of equations 3x + 2y = 16 and 7x + y = 19?

Back

(2,5)

Front

What is the factored form of 56a^3 - 8a?

Back

8a(7a^2 - 1)

Front

What does it mean for an expression to be factorable?

Back

An expression is factorable if it can be expressed as a product of two or more simpler expressions.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is y = ax^2 + bx + c, where a, b, and c are constants.

Front

What is the vertex of a parabola given by the equation y = ax^2 + bx + c?

Back

The vertex can be found using the formula (h, k) where h = -b/(2a) and k = f(h).

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.