6.EE.2

Front

What does the expression 9x + 4y represent in algebra?

Back

It represents a linear combination of the variables x and y, where 9 and 4 are the coefficients of x and y, respectively.

Front

How do you evaluate the expression 9x + 4y when x=4 and y=8?

Back

Substitute x=4 and y=8 into the expression: 9(4) + 4(8) = 36 + 32 = 68.

Front

What is the significance of coefficients in an algebraic expression?

Back

Coefficients indicate how many times a variable is multiplied in an expression.

Front

What is the process for solving an equation with variables?

Back

Isolate the variable on one side of the equation using inverse operations.

Front

What does the term 'linear equation' mean?

Back

A linear equation is an equation that forms a straight line when graphed, typically in the form y = mx + b.

Front

What is the value of n in the expression 6.25n + 3.50 = 34.75?

Back

To find n, subtract 3.50 from both sides and then divide by 6.25: n = (34.75 - 3.50) / 6.25 = 5.

Front

What is the purpose of using variables in algebra?

Back

Variables are used to represent unknown values and to formulate general rules or relationships.

Front

How do you convert a word problem into an algebraic expression?

Back

Identify the quantities involved, assign variables, and translate the relationships and operations described in the problem into mathematical symbols.

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 states that two expressions are equal.

Front

What does it mean to simplify an algebraic expression?

Back

To simplify an expression means to combine like terms and reduce it to its simplest form.