MAAP Review Algebra

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point of the parabola represented by the quadratic function.

Front

How do you find the vertex of the function f(x) = ax^2 + bx + c?

Back

Use the formula x = -b/(2a) to find the x-coordinate, then substitute back to find the y-coordinate.

Front

What is the value of f(3) if f(x) = 2x - 9?

Back

f(3) = 2(3) - 9 = 6 - 9 = -3.

Front

What does it mean to solve a system of equations?

Back

To find the values of the variables that satisfy all equations in the system simultaneously.

Front

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

Back

The solution is (2, 5).

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions.

Front

What does it mean to factor an expression?

Back

Factoring an expression means to break it down into simpler components (factors) that, when multiplied together, give the original expression.

Front

What is the factored form of k^2 + 7k + 10?

Back

(k + 2)(k + 5).

Front

What is the purpose of solving for a variable in an equation?

Back

To find the value of the variable that makes the equation true.

Front

What is the first step in solving the equation 15 + 6p = 75?

Back

Subtract 15 from both sides to isolate the term with p.