Equivalent Expressions #1

Front

What is an equivalent expression?

Back

An equivalent expression is an expression that has the same value as another expression for all values of the variables involved.

Front

How do you simplify a fraction with negative exponents?

Back

To simplify a fraction with negative exponents, move the base with the negative exponent to the opposite part of the fraction (numerator to denominator or vice versa) and change the sign of the exponent.

Front

What is the process of factoring a quadratic expression?

Back

Factoring a quadratic expression involves rewriting it in the form (ax + b)(cx + d) such that the product equals the original expression.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside a parenthesis.

Front

How do you combine like terms in an expression?

Back

To combine like terms, add or subtract the coefficients of terms that have the same variable raised to the same power.

Front

What is the result of multiplying two expressions with the same base?

Back

When multiplying two expressions with the same base, you add the exponents: a^m * a^n = a^(m+n).

Front

What is the result of dividing two expressions with the same base?

Back

When dividing two expressions with the same base, you subtract the exponents: a^m / a^n = a^(m-n).

Front

What does it mean for two expressions to be defined?

Back

Two expressions are defined when the values of the variables do not lead to any undefined operations, such as division by zero.

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

The roots of a quadratic equation can be found using the quadratic formula: x = (-b ± √(b² - 4ac)) / (2a).