AE 7.1-7.3 Review

Front

What is simple interest?

Back

Simple interest is calculated using the formula: I = PRT, where I is the interest, P is the principal amount, R is the rate of interest per year, and T is the time in years.

Front

How do you calculate the total amount to be paid back on a loan with simple interest?

Back

Total Amount = Principal + Interest. Interest is calculated using the formula: I = PRT.

Front

What is the midpoint formula for two points (x1, y1) and (x2, y2)?

Back

Midpoint = ((x1 + x2)/2, (y1 + y2)/2).

Front

How do you find the coordinates of a point given the midpoint and one endpoint?

Back

Use the midpoint formula and solve for the unknown coordinates.

Front

What is a quadratic equation?

Back

A quadratic equation is a polynomial equation of the form ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the roots of a quadratic equation.

Front

How do you determine the values of a, b, and c in a quadratic equation?

Back

Identify the coefficients from the standard form ax² + bx + c = 0.

Front

What does the discriminant of a quadratic equation tell you?

Back

The discriminant (b² - 4ac) indicates the nature of the roots: if > 0, two real roots; if = 0, one real root; if < 0, no real roots.

Front

What is the distance formula between two points (x1, y1) and (x2, y2)?

Back

Distance = √((x2 - x1)² + (y2 - y1)²).

Front

How do you solve a quadratic equation using the quadratic formula?

Back

Substitute the values of a, b, and c into the quadratic formula and simplify to find the values of x.