Algebra TEST #7 TEKS 10ABCDEF

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

How do you factor a quadratic expression of the form ax^2 + bx + c?

Back

To factor a quadratic expression, find two numbers that multiply to ac (the product of a and c) and add to b. Rewrite the expression using these numbers to split the middle term.

Front

What is the formula for the perimeter of a triangle?

Back

The perimeter P of a triangle is the sum of the lengths of its sides: P = a + b + c.

Front

What does it mean for an expression to be factored?

Back

Factoring an expression means rewriting it as a product of its factors, which are simpler expressions that multiply together to give the original expression.

Front

What is the result of multiplying (a + b)(c + d)?

Back

The result is ac + ad + bc + bd, which is obtained by applying the distributive property.

Front

How do you simplify the expression -27x^2 + 45x?

Back

Factor out the greatest common factor: -9x(3x - 5).

Front

What is a polynomial?

Back

A polynomial is an algebraic expression that consists of variables, coefficients, and non-negative integer exponents, such as 2x^3 + 3x^2 - 5.

Front

What is the difference between a monomial and a binomial?

Back

A monomial is an algebraic expression with one term (e.g., 3x), while a binomial has two terms (e.g., x + 2).

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax^2 + bx + c = 0, where a, b, and c are constants.

Front

How do you find the roots of a quadratic equation?

Back

You can find the roots using the quadratic formula: x = (-b ± √(b^2 - 4ac)) / (2a).