Algebra 1 Final

Front

What is the solution set for the inequality -4 > x > -2?

Back

The solution set is the interval (-4, -2).

Front

What is the result of multiplying (x + 3)(5x - 1)?

Back

5x^2 + 14x - 3.

Front

How does the graph of f(x) change when transformed to f(x + 1) - 3?

Back

The graph shifts left by 1 unit and down by 3 units.

Front

What are the solutions to the equation x^2 - 3x - 28 = 0?

Back

The solutions are x = -4 and x = 7.

Front

What does the constant in the expression 3 + 2(x - 5)^2 represent?

Back

It represents the initial height of the ball, which is 53 feet.

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax^2 + bx + c = 0.

Front

What is the vertex form of a quadratic function?

Back

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

Front

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

Back

Set y = 0 and solve the equation ax^2 + bx + c = 0.

Front

What is the quadratic formula used for?

Back

It is used to find the solutions of the quadratic equation ax^2 + bx + c = 0.

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is b^2 - 4ac and determines the nature of the roots.