ALgebra 2 ACP Review BR Day 5

Front

What is the solution to the inequality x^2 + 8x + 7 > 0?

Back

x < -7 or x > -1

Front

If Kristin spent $202 on tops, with tank tops costing $12, graphic t-shirts costing $28, and hoodies costing $35, and she bought twice as many tank tops as hoodies, how many of each did she buy if she bought a total of 9?

Back

4 tank tops, 3 graphic tees, and 2 hoodies

Front

What is the domain of a function that is all real numbers less than or equal to 12 but greater than negative 6?

Back

-6 < x ≤ 12

Front

Describe the transformation of the function y = f(x) to y = 1/5f(x).

Back

The graph of y = f(x) was compressed vertically by a factor of 1/5.

Front

Simplify the expression (10 + 15i) - (48 - 30i).

Back

-38 + 45i

Front

What is the standard form of a quadratic inequality?

Back

A quadratic inequality is typically expressed in the form ax^2 + bx + c > 0, ax^2 + bx + c < 0, ax^2 + bx + c ≥ 0, or ax^2 + bx + c ≤ 0.

Front

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

Back

The vertex can be found using the formula x = -b/(2a) for the x-coordinate, and then substituting this value back into the function to find the y-coordinate.

Front

What does it mean for a function to be 'compressed' vertically?

Back

A vertical compression occurs when the output values of the function are multiplied by a factor less than 1, making the graph flatter.

Front

What is the difference between a function's domain and range?

Back

The domain is the set of all possible input values (x-values) for a function, while the range is the set of all possible output values (y-values).

Front

How do you solve a system of equations using substitution?

Back

To solve by substitution, solve one equation for one variable, then substitute that expression into the other equation.