Mastering Algebraic Identities

Front

What is an algebraic identity?

Back

An algebraic identity is an equation that holds true for all values of the variables involved. For example, (a + b)² = a² + 2ab + b².

Front

What is the distributive property?

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

Simplify: 4(x + 2) - 2(x + 3)

Back

2x + 2

Front

What is the result of combining like terms?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power, simplifying the expression.

Front

If 5x - 2x + 3 = 10, what is the value of x?

Back

x = 7/3

Front

What is the result of 2(a + 3) - 4?

Back

2a + 2

Front

Define a polynomial.

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents, such as 3x² + 2x + 1.

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms, such as x + 5 or 3a - 2b.

Front

What does it mean to factor an expression?

Back

Factoring an expression means rewriting it as a product of its factors, such as factoring x² - 9 into (x - 3)(x + 3).

Front

What is the zero product property?

Back

The zero product property states that if the product of two factors is zero, then at least one of the factors must be zero.