Discrete Math Semester 1 Final Exam 2023

Front

Solve for b: 3(b - 4) = -3

Back

b = 3

Front

Expand the expression: (x + 2)(x + 3)

Back

x² + 5x + 6

Front

Solve the equation: 8r² - 24r = 0

Back

r = 0 and r = 3

Front

Factor by grouping: x³ + 7x² - 2x - 14

Back

(x² - 2)(x + 7)

Front

Evaluate: -7w² + 2w if w = -4

Back

-120

Front

Definition: Polynomial

Back

A mathematical expression consisting of variables, coefficients, and non-negative integer exponents.

Front

Definition: Quadratic Equation

Back

An equation of the form ax² + bx + c = 0, where a, b, and c are constants.

Front

Definition: Factoring

Back

The process of breaking down an expression into simpler components that, when multiplied together, give the original expression.

Front

Definition: Roots of an Equation

Back

Values of the variable that satisfy the equation, making it true.

Front

Definition: Discriminant

Back

In a quadratic equation ax² + bx + c = 0, the discriminant is b² - 4ac, which determines the nature of the roots.