Setting Up Linear Equation Word Problems (Standard Form)

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

How do you identify variables in a word problem?

Back

Variables are typically represented by letters (like x and y) and correspond to quantities that can change or vary in the context of the problem.

Front

What does it mean to write an equation from a word problem?

Back

Writing an equation from a word problem involves translating the words and relationships described into a mathematical expression that can be solved.

Front

In the equation x + 2y = 18, what do x and y represent?

Back

In this equation, x represents the number of Uber Eats credits, and y represents the number of hats for Among Us.

Front

What is the first step in solving a word problem involving linear equations?

Back

The first step is to identify the variables and what they represent in the context of the problem.

Front

How do you determine the coefficients in a linear equation from a word problem?

Back

Coefficients are determined by the cost or quantity associated with each variable in the problem.

Front

What is the significance of the constant term in a linear equation?

Back

The constant term represents the total amount or limit that the variables must sum to in the context of the problem.

Front

Write the equation for: You have $28 to spend on Tech-decks ($7 each) and Takis ($4 each).

Back

7x + 4y = 28, where x is the number of Tech-decks and y is the number of bags of Takis.

Front

What does the equation 12x + 14y = 708 represent?

Back

This equation represents the total revenue from selling small t-shirts (x) at $12 each and large t-shirts (y) at $14 each.

Front

How do you convert a word problem into a linear equation?

Back

Identify the quantities involved, assign variables, determine the relationships (costs, totals), and express these relationships mathematically.