Math 1 EOC review

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is the part of the quadratic formula under the square root, given by b² - 4ac. It determines the number of solutions: if positive, there are 2 solutions; if zero, there is 1 solution; if negative, there are no real solutions.

Front

What does the slope represent in a linear equation?

Back

The slope represents the rate of change of the dependent variable (y) with respect to the independent variable (x). In the equation y = mx + b, m is the slope.

Front

How do you find the area of a rectangle?

Back

The area of a rectangle is found by multiplying its length by its width: Area = length × width.

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves. For the quadratic equation y = ax² + bx + c, the axis of symmetry is given by x = -b/(2a).

Front

How do you calculate the midpoint of a line segment?

Back

The midpoint of a line segment with endpoints (x₁, y₁) and (x₂, y₂) is calculated as: Midpoint = ((x₁ + x₂)/2, (y₁ + y₂)/2).

Front

What does a positive discriminant indicate about a quadratic equation?

Back

A positive discriminant indicates that the quadratic equation has two distinct real solutions.

Front

What does a negative discriminant indicate about a quadratic equation?

Back

A negative discriminant indicates that the quadratic equation has no real solutions, only complex solutions.

Front

What is the formula for the area of a triangle?

Back

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

Front

What is a linear equation?

Back

A linear equation is an equation of the first degree, meaning it can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the equation y = mx + b.