Algebra 1 Review

Front

What is the solution to the inequality x < -2?

Back

The solution set includes all values of x that are less than -2.

Front

Define the domain of a function.

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

Define the range of a function.

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

Evaluate (ab)² for a = 4 and b = 3.

Back

(ab)² = (4*3)² = 12² = 144.

Front

What is the process of completing the square in a quadratic equation?

Back

Completing the square involves rewriting a quadratic in the form (x + p)² = q to make it easier to solve.

Front

What is the solution to the inequality -4x + 10 ≥ 5x + 55?

Back

To solve, combine like terms and isolate x. The solution set is x ≤ -5.

Front

What does it mean for a function to be one-to-one?

Back

A function is one-to-one if each output value is paired with exactly one input value.

Front

What is the vertex form of a quadratic equation?

Back

The vertex form is y = a(x - h)² + k, where (h, k) is the vertex of the parabola.

Front

How do you find the x-intercepts of a quadratic function?

Back

Set the function equal to zero and solve for x.

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a) for the equation ax² + bx + c = 0.