Algebra 2 Final Fall 2024

Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

Solve for x: 2x + 3 = 11

Back

x = 4

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and exponents, combined using addition, subtraction, and multiplication. Example: 3x^2 + 2x - 5.

Front

Factor the expression: x^2 - 9

Back

(x - 3)(x + 3) (Difference of squares)

Front

What is the greatest common factor (GCF)?

Back

The GCF is the largest positive integer that divides all the terms in a polynomial without leaving a remainder.

Front

Solve the equation: 3(x - 2) = 12

Back

x = 6

Front

What does it mean to factor a polynomial completely?

Back

Factoring a polynomial completely means breaking it down into irreducible factors, which cannot be factored further.

Front

Solve for m: 5m - 7 = 3m + 5

Back

m = 6

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 ax² + bx + c = 0.

Front

Factor the expression: 2m^2 + 8m

Back

2m(m + 4) (Factor out the GCF)