6th Grade Expressions and Equations

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 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. For example, for 2/9 of x, the expression is (2/9) * x.

Front

What is the relationship between variables in an equation?

Back

An equation shows how two expressions are equal, often relating different variables to each other.

Front

What does it mean for two expressions to be equivalent?

Back

Two expressions are equivalent if they have the same value for all values of the variables involved.

Front

How do you evaluate an expression?

Back

To evaluate an expression, substitute the values of the variables into the expression and perform the operations.

Front

What is the purpose of using variables in expressions?

Back

Variables represent unknown values and allow us to create general formulas that can be applied to different situations.

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 simplify an expression?

Back

To simplify an expression, combine like terms and perform any operations to reduce it to its simplest form.

Front

What is a coefficient in an expression?

Back

A coefficient is a numerical factor that multiplies a variable in an expression, such as 4 in 4x.

Front

What does it mean to factor an expression?

Back

Factoring an expression means rewriting it as a product of its factors, such as turning 20c - 8d into 4(5c - 2d).