Review translating words to expression and equations

Front

What is the mathematical representation of the phrase 'a total of 155 cups composed of small and large cups'?

Back

x + y = 155, where x is the number of small cups and y is the number of large cups.

Front

How do you translate 'One number added to three times another number is 24' into an equation?

Back

x + 3y = 24, where x is the first number and y is the second number.

Front

What is the equation for 'Five times a number added to three times another number is 36'?

Back

5x + 3y = 36, where x and y are the two numbers.

Front

How do you express 'Airline fares for a flight from Dallas to Austin are $30 for first class and $25 for tourist class' in terms of an equation for the number of passengers?

Back

x + y = 52, where x is the number of first-class passengers and y is the number of tourist-class passengers.

Front

Translate 'Ashley sold small cups of lemonade for $1.25 and large cups for $2.50' into a mathematical equation for total sales of $265.

Back

1.25x + 2.50y = 265, where x is the number of small cups and y is the number of large cups.

Front

What does the variable 'x' typically represent in equations involving quantities?

Back

'x' usually represents an unknown quantity that needs to be solved for.

Front

What is the purpose of translating words into mathematical expressions or equations?

Back

To create a mathematical model that can be solved to find unknown values based on given conditions.

Front

What is a common first step in solving application-based word problems?

Back

Identify and define the variables that represent the unknown quantities in the problem.

Front

How can you check if your mathematical equation is set up correctly after translating a word problem?

Back

Substitute known values into the equation to see if it holds true or makes logical sense.

Front

What is the significance of coefficients in equations like '3y' in 'x + 3y = 24'?

Back

Coefficients represent the number of times a variable is multiplied, indicating its contribution to the total.