Here's what is in each blank:
Blank 1: "8b"
Blank 2: "8"
Blank 3: "property of equality states that we must"
Blank 4: "to keep a balanced equation"
Blank 5: "100"
Blank 6: "Remember that the"
Blank 7: "sides of the equation by"
Blank 8: "both"
* Blank 1: This blank is asking for the expression that represents the area of the wall. We know the wall is 8 feet tall, and we're letting "b" represent the length of the base. So, the area can be expressed as "8b."
* Blank 2: This blank is asking for the number that we multiply "8b" by to get 100. The equation tells us that 8b is equal to 100, so the number we multiply by is 8.
* Blank 3: This blank is asking for the beginning of the explanation for why we can multiply both sides of the equation by 8. The phrase "property of equality" suggests that we're going to invoke a mathematical principle to justify this step.
* Blank 4: This blank is asking for the rest of the explanation for why we can multiply both sides of the equation by 8. The key idea is that this operation will keep the equation balanced, meaning that the two sides will still be equal after we perform it.
* Blank 5:*This blank is asking for the number on the right side of the equal sign. The equation states that 8b is equal to 100, so the number on the right is 100.
* Blank 6: This blank is the beginning of a reminder about another mathematical principle. We're going to use this principle to justify why we can divide both sides of the equation by 8 later on.
* Blank 7: This blank is asking for the rest of the reminder about the mathematical principle. The principle is that whatever we do to one side of an equation, we must also do to the other side in order to keep the equation balanced.
* Blank 8: This blank is asking for the word that completes the sentence "Remember that the sides of the equation by...". The word "both" makes the most sense here, because it emphasizes that we must perform the same operation on both sides of the equation.