1. Write the subtraction and addition properties of equality.
2. List at least three words or phrases that translate to the equals sign when translating word problems into equations.
3. After identifying and naming what you are looking for in a word problem, we choose a variable to represent that quantity. How do you pick the letter you choose? Are there any letters you avoid?
4. Your friend thinks the solution to 12=80 is 40. How would you explain their error?
5. When solving an equation with variables and constants on both sides which do you use first, the addition and subtraction property of equality or the multiplication and division property of equality?
6. How would you write a consecutive integer where the first integer is represented by n?
7. When solving for the three angles of a right triangle, you are often only given one value rather than two and still expected to get all three angles; how does that work?
8. If you need to install a rectangular fence around your property, does knowing the area help? Why or why not?
9. A circle has a diameter of 14 feet. You can find the area using (a) 3.14 for pi or (b) 22/7 for pi. Which would you prefer to use (a) or (b) and why?
10. Which has a larger volume, a cube of sides of 8 feet or a sphere with a diameter of 8 feet? Explain your reasoning.