Midterm Practice

Front

What is direct variation?

Back

Direct variation is a relationship between two variables where one variable is a constant multiple of the other. It can be expressed as y = kx, where k is a non-zero constant.

Front

Identify the standard form of a quadratic expression from the product (x + 2)(x + 3).

Back

The standard form is x² + 5x + 6.

Front

What does it mean if a system of equations has two solutions?

Back

It means that the two equations intersect at two distinct points on a graph.

Front

Convert the expression y²/³ into a radical expression.

Back

The radical expression is ∛y².

Front

What is the equation that represents direct variation?

Back

The equation is y = kx.

Front

What is the definition of a quadratic equation?

Back

A quadratic equation is a polynomial equation of degree 2, typically in the form ax² + bx + c = 0.

Front

How do you find the vertex of a parabola given in standard form?

Back

The vertex can be found using the formula (-b/2a, f(-b/2a)) where f(x) is the quadratic function.

Front

What is the discriminant in a quadratic equation and what does it indicate?

Back

The discriminant is b² - 4ac. It indicates the nature of the roots: if positive, two real solutions; if zero, one real solution; if negative, no real solutions.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input has exactly one output.