Math Vocabulary and Expression Steps

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Questions and Answers

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?

24

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.

<p>False (B)</p> Signup and view all the answers

How many cups did Jacob sell on Tuesday if he sold 24 cups on Monday?

<p>15</p> Signup and view all the answers

The equation to find the number of cups sold on Tuesday is:

<p>2c - 3 = 24</p> Signup and view all the answers

What key vocab term corresponds with the operation needed to express '3 less than 2 times a number'?

<p>Subtracted from (A)</p> Signup and view all the answers

If the total cups sold on Monday is represented as 24, what does this value signify in the equation for cups sold on Tuesday?

<p>It represents the left side of the equation. (A)</p> Signup and view all the answers

In the equation '2c - 3 = 24', what does 'c' represent?

<p>The number of cups sold on Tuesday. (C)</p> Signup and view all the answers

Why is it necessary to change the order when interpreting '3 less than a number'?

<p>To ensure the expression remains consistent with its mathematical meaning. (B)</p> Signup and view all the answers

Which of the following steps is the first in writing the equation for this problem?

<p>Determine if addition, subtraction, multiplication, or division is needed. (D)</p> Signup and view all the answers

What does the phrase '3 less than 2 times as many cups' mean in algebraic form?

<p>2c - 3 (B)</p> Signup and view all the answers

Which part of the problem does the term 'total' refer to?

<p>The specific quantity of cups sold on Monday. (A)</p> Signup and view all the answers

In the steps to solve the expression, what does checking the equation's sense involve?

<p>Ensuring the mathematical logic is sound and logical. (C)</p> Signup and view all the answers

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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"-à include (parentheses)
  • "Less than" or "subtracted from" à 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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