Unit 6 - Expressions and Equations

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables.

Front

What does the variable 'x' typically represent in equations?

Back

In equations, 'x' often represents an unknown value that we need to solve for.

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per' something.

Front

How do you write an expression for a fraction of a total?

Back

To write an expression for a fraction of a total, multiply the fraction by the total amount (e.g., 2/9 of x is written as (2/9) * x).

Front

What is the difference between an expression and an equation?

Back

An expression is a combination of numbers, variables, and operations without an equality sign, while an equation includes an equality sign.

Front

What does it mean to solve for a variable?

Back

To solve for a variable means to find the value of that variable that makes the equation true.

Front

What is the order of operations in mathematics?

Back

The order of operations is a set of rules that dictates the sequence in which calculations are performed: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right) - often abbreviated as PEMDAS.

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable in an algebraic expression (e.g., in 3x, 3 is the coefficient).

Front

What does it mean for a number to be a power?

Back

A power is a number expressed using an exponent, indicating how many times to multiply the base by itself (e.g., 3^4 means 3 multiplied by itself 4 times).

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to get the variable alone on one side of the equation.