Algebra 2 - Fall Semester 2022

Front

Write the equation of a line with slope m = 5 that passes through the point (-1, -3).

Back

y = 5x + 2

Front

Factor the quadratic expression k^2 - 2k - 24 completely.

Back

(k + 4)(k - 6)

Front

What is the absolute value equation l 2x−1 l = 9? Solve for x.

Back

x = 5 and x = -4

Front

If Amy sold 10 packages of sugar cookies and 2 packages of oatmeal cookies for $56, and Adam sold 9 packages of sugar cookies and 3 packages of oatmeal cookies for $60, how do you find the price of one pack of each type of cookie?

Back

Sugar Cookies $4, Oatmeal Cookies $8

Front

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

Back

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

Front

How do you find the vertex of a quadratic function in standard form?

Back

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

Front

What is the quadratic formula used for solving quadratic equations?

Back

x = (-b ± √(b² - 4ac)) / (2a) for ax² + bx + c = 0.

Front

What does it mean for two lines to be parallel in terms of their slopes?

Back

Two lines are parallel if they have the same slope (m1 = m2) and different y-intercepts.

Front

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

Back

A rational number can be expressed as a fraction a/b, where a and b are integers, while an irrational number cannot be expressed as a simple fraction.

Front

How do you solve a system of equations using substitution?

Back

Solve one equation for one variable and substitute that expression into the other equation.