Meaning of the equal sign Knowledge-Based Practice

Questions

1. 1.

   Why is the mathematical sentence $5 + 3 = 8 + 4 = 12$ invalid?

   • A) An equation cannot contain more than one addition symbol.
   • B) The equal sign can only be placed between an operation and a single number.
   • C) The addends must be arranged in order from least to greatest.
   • D) The equal sign requires the expressions on its left and right to have the same value, but $5 + 3$ does not equal $8 + 4$.
2. 2.

   Which equation illustrates that the equal sign represents an equivalence relationship between two different addition expressions rather than an operation followed by its result?

   • A) $11 + 4 = 15$
   • B) $15 = 15$
   • C) $15 + 0 = 15$
   • D) $8 + 7 = 9 + 6$
3. 3.

   Which of the following equations is true?

   • A) $9 + 4 = 13 + 1$
   • B) $7 + 8 = 15 - 2$
   • C) $12 - 5 = 3 + 4$
   • D) $14 - 6 = 8 + 2$
4. 4.

   Which of the following statements best describes the meaning of the equal sign ($=$) in a mathematical equation?

   • A) It means that the calculation has ended and the final answer must follow immediately.
   • B) It serves as a command to perform the addition or subtraction operation on the left.
   • C) It shows that the expressions or quantities on both sides have the exact same value.
   • D) It indicates that the quantity on the left side must always be larger than the quantity on the right side.
5. 5.

   Which number makes the number sentence $8 + 6 = \square + 5$ true?

   • A) 9
   • B) 14
   • C) 19
   • D) 1

Answers and step-by-step solutions appear after you finish the test.