1.
a. Explain how you would solve 2p + 10 = 42 if you had to undo the multiplication first.
b. Explain why undoing the multiplication first would be inconvenient for solving the equation 7x - 4 = 24.
2.Determine if the following statement is sometimes, always, or never true. Explain your thinking. The sum of two consecutive even numbers equals the sum of two consecutive odd numbers.
3. If n is an even integer, explain how to find the even integer just before it.
4.Explain why -2 is not the solution of the equation 4x + 3x - 5 = 27.
5.List three consecutive even integers if the greatest one is -18.
6.If 2x + 1 = 5, then 3x - 4 is sometimes, always, or never 2? Explain your reasoning.
Explain how to solve each equation. Then solve.
7. 4a - 5 = 15
8. (2/9)v - 6 = 14
9. [p - (-5)]/-2 = 6
10. Define a variable, write an equatio, and solve each problem. Then check your solution.
Find two consecutive integers whose sum is -31.