2-8 writing standard form word problems

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 represent a word problem as a linear equation?

Back

Identify the variables, determine the relationships between them, and translate the relationships into an equation.

Tags

CCSS.HSA.CED.A.3

Front

What does 's' represent in the equation 3s + 1c = 38?

Back

In this context, 's' represents the price of a senior citizen ticket.

Tags

CCSS.HSA-SSE.A.1A

Front

What does 'c' represent in the equation 3s + 1c = 38?

Back

In this context, 'c' represents the price of a child ticket.

Tags

CCSS.6.EE.B.6

Front

How can you determine the total cost from a linear equation?

Back

By substituting the values of the variables into the equation and solving for the total.

Tags

CCSS.8.EE.C.7B

Front

What is the significance of coefficients in a linear equation?

Back

Coefficients represent the rate of change or the amount associated with each variable in the equation.

Tags

CCSS.HSF.LE.B.5

Front

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

Back

Read the problem carefully to understand what is being asked and identify the relevant information.

Tags

CCSS.8.EE.C.7B

Front

How do you check if your solution to a linear equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

What is the meaning of the equation 5x + 7.5y = 60 in a word problem?

Back

It represents the total revenue from washing x cats and y dogs, where each cat wash costs $5 and each dog wash costs $7.50.

Tags

CCSS.HSF.LE.B.5

Front

What does the term 'linear relationship' mean?

Back

A linear relationship means that there is a constant rate of change between two variables, represented graphically as a straight line.

Tags

CCSS.HSF-LE.A.1B