Podcast
Questions and Answers
The expression describing '3 less than 2 times as many cups sold on Tuesday' can be written as:
The expression describing '3 less than 2 times as many cups sold on Tuesday' can be written as:
2c - 3
What does the term 'total' mean in the context of this problem?
What does the term 'total' mean in the context of this problem?
24
What operation is required for '3 less than a number'?
What operation is required for '3 less than a number'?
- Division
- Multiplication
- Subtraction (correct)
- Addition
The phrase 'less than' requires that the order of numbers should remain the same.
The phrase 'less than' requires that the order of numbers should remain the same.
How many cups did Jacob sell on Tuesday if he sold 24 cups on Monday?
How many cups did Jacob sell on Tuesday if he sold 24 cups on Monday?
The equation to find the number of cups sold on Tuesday is:
The equation to find the number of cups sold on Tuesday is:
What key vocab term corresponds with the operation needed to express '3 less than 2 times a number'?
What key vocab term corresponds with the operation needed to express '3 less than 2 times a number'?
If the total cups sold on Monday is represented as 24, what does this value signify in the equation for cups sold on Tuesday?
If the total cups sold on Monday is represented as 24, what does this value signify in the equation for cups sold on Tuesday?
In the equation '2c - 3 = 24', what does 'c' represent?
In the equation '2c - 3 = 24', what does 'c' represent?
Why is it necessary to change the order when interpreting '3 less than a number'?
Why is it necessary to change the order when interpreting '3 less than a number'?
Which of the following steps is the first in writing the equation for this problem?
Which of the following steps is the first in writing the equation for this problem?
What does the phrase '3 less than 2 times as many cups' mean in algebraic form?
What does the phrase '3 less than 2 times as many cups' mean in algebraic form?
Which part of the problem does the term 'total' refer to?
Which part of the problem does the term 'total' refer to?
In the steps to solve the expression, what does checking the equation's sense involve?
In the steps to solve the expression, what does checking the equation's sense involve?
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Study Notes
Finding Total Cups Sold
- The term "total" refers to the sum of the number of cups sold on Monday and Tuesday.
- To find the "total" we need to add the number of cups sold on Monday and the number of cups sold on Tuesday.
"Less than"
- The operation required for "3 less than a number" is subtraction.
- For "3 less than a number x", we subtract 3 from x, resulting in x-3.
Equation for Number of Cups on Tuesday
- The equation to find the number of cups sold on Tuesday, assuming Jacob sold 24 cups on Monday is: 2(24)-3 = number of cups sold on Tuesday
- The equation simplifies to 48-3 = 45 cups sold on Tuesday.
Key Math Vocabulary
- Add: Plus, sum of, more than, added to, increased by
- Subtract: minus, difference of, taken from, less than, subtracted from, decreased by
- Multiply: Times, multiplied by, product, twice
- Divide: divided by, quotient, ratio, half
- "Sum of" or "difference of"-Ã include (parentheses)
- "Less than" or "subtracted from" Ã switch the order from what is written
Steps to Solve Word Problems
- Note key math vocabulary and determine if you should add, subtract, multiply or divide.
- Note that "less than," "taken from," and "subtracted from" require switching the order of the terms.
- Identify what the problem is asking to find and use the equals sign (=).
- Write out the equation or expression using the terms below.
- Check to see if your equation makes sense.
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