Evaluate Expressions, Translating, and Basic Exponents

Front

What is an expression in mathematics?

Back

An expression is a combination of numbers, variables, and operators (such as +, -, *, /) that represents a value.

Front

How do you translate a verbal expression into a mathematical expression?

Back

Identify keywords and phrases in the verbal expression and use corresponding mathematical symbols to create an equation.

Front

What does it mean to evaluate an expression?

Back

To evaluate an expression means to calculate its value by substituting numbers for the variables and performing the operations.

Front

What is the power of a number?

Back

The power of a number indicates how many times to multiply the number by itself.

Front

What is the base in an exponent?

Back

The base is the number that is being multiplied in an exponentiation.

Front

What is the exponent in an expression like x^3?

Back

The exponent indicates how many times the base (x) is multiplied by itself, so x^3 means x * x * x.

Front

What is the zero exponent rule?

Back

Any non-zero number raised to the power of zero equals 1.

Front

How do you simplify an expression with exponents, such as (x^2)^3?

Back

You multiply the exponents: (x^2)^3 = x^(2*3) = x^6.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you multiply a by each term inside the parentheses.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form, combining like terms and performing operations.