Algebra 2 Review

Front

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

Back

(2, 5)

Front

Simplify the expression: (8 - \sqrt{6})(-4 + \sqrt{6})

Back

-38 + 12\sqrt{6}

Front

Solve the equation: 2v + 5v - 8 = 13

Back

v = 3

Front

Factor the expression: 56a^3 - 8a

Back

8a(7a^2 - 1)

Front

Solve for x: 4x + 1 = 0

Back

x = -1/4

Front

What is the quadratic formula?

Back

x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}}

Front

Define a linear equation.

Back

An equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What is the slope-intercept form of a line?

Back

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

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and never intersect.

Front

What is the difference between a rational and an irrational number?

Back

A rational number can be expressed as a fraction \frac{a}{b}, while an irrational number cannot be expressed as a simple fraction.