Algebra 2 Semester 1 Practice Final

Front

What is the definition of an absolute value function?

Back

An absolute value function is a function that outputs the distance of a number from zero on the number line, denoted as f(x) = |x|.

Front

What is the vertex form of a quadratic function?

Back

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

Front

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

Back

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

Front

What is the range of the function f(x) = |x - 3| + 4?

Back

The range of the function f(x) = |x - 3| + 4 is [4, +∞) because the minimum value occurs at x = 3.

Front

What does it mean for a system of equations to have no solution?

Back

A system of equations has no solution when the lines represented by the equations are parallel and never intersect.

Front

What is the area of a rectangle?

Back

The area of a rectangle is calculated by multiplying its width (W) by its height (H): Area = W * H.

Front

How do you solve a system of equations using substitution?

Back

To solve a system of equations using substitution, solve one equation for one variable and substitute that expression into the other equation.

Front

What is the formula for the area of a triangle?

Back

The area of a triangle is given by the formula: Area = (1/2) * base * height.

Front

What is the definition of a linear equation?

Back

A linear equation is an equation that represents a straight line when graphed, typically in the form y = mx + b.

Front

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

Back

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