Algebra: Concepts and Connections EOC Review 1

Front

What is the standard form of the expression (3x+1)(x+1)?

Back

The standard form is 3x^2 + 4x + 1.

Front

In the exponential function y=ab^x+q, what does it mean if a ≥ 1, 0 < b < 1, and q > 0?

Back

It indicates that the function is decreasing, starting from a positive value.

Front

Convert the quadratic function f(x)=x^2+8x+3 into vertex form.

Back

The vertex form is (x+4)^2 - 13.

Front

If a is a rational number and b is an irrational number, what is the nature of a + b?

Back

The sum a + b is irrational.

Front

Simplify the expression \sqrt{75} + \sqrt{12}.

Back

The simplified form is 7\sqrt{3}.

Front

What is the definition of a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax^2 + bx + c.

Front

What is the vertex of a parabola given in the form f(x) = a(x-h)^2 + k?

Back

The vertex is the point (h, k).

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, for any two points x1 and x2 where x1 < x2, f(x1) < f(x2).

Front

What is the quadratic formula used for?

Back

The quadratic formula is used to find the roots of a quadratic equation ax^2 + bx + c = 0.

Front

What is the discriminant in a quadratic equation?

Back

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