Writing Equations and Word Problems (6.9a & 6.c)

Front

What is an equation?

Back

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

Front

What does the variable 'b' represent in the equation 184 = 8b?

Back

In the equation 184 = 8b, 'b' represents the number of bracelets sold by Candace.

Front

How do you solve for 'x' in the equation 4x = 124?

Back

To solve for 'x', divide both sides of the equation by 4: x = 124 / 4 = 31.

Front

What is the purpose of writing an equation from a word problem?

Back

The purpose is to translate a real-world situation into a mathematical form that can be solved to find unknown values.

Front

What does the equation 6.30 + s = 9.50 represent?

Back

It represents the total cost of Joe's lunch, where 's' is the cost of the salad he purchased.

Front

How can you find the cost of an item if you know the total cost and the cost of another item?

Back

You can subtract the known cost from the total cost to find the unknown cost.

Front

What does the equation s + 43 = 180 represent in Betsy's situation?

Back

It represents the total amount Betsy spent on an oil change and tires, where 's' is the cost of the tires.

Front

What is the relationship between the variables in the equation 2a = 12?

Back

The equation shows that two times the cost of one binder (a) equals $12, indicating the total cost for two binders.

Front

How do you interpret the equation 184 = 8b in a real-world context?

Back

It means that if each bracelet costs $8, then selling 'b' bracelets will earn Candace a total of $184.

Front

What is the first step in solving a word problem that requires writing an equation?

Back

Identify the unknown variable and the relationship between the known quantities.