The set of numbers below contains possible solutions to the following equations (Questions 1-3). Determine which of these numbers are solutions to each of the following equations.
Question 1
1.
Question 2
2.
Question 3
3.
Use the following information to answer questions 4-7.
Laura, Nia, and Leo solved the following three equations as shown. Identify each of the equations as having one solution, no solution, or infinitely many solutions. Justify your responses.
Question 4
4.
Laura's equation has ___________ solution(s).
Question 5
5.
Nia's equation has ___________ solution(s).
Question 6
6.
Leo's equation has ___________ solution(s).
Question 7
7.
Why did you choose the type of solution you did for each person?
Question 8
8.
Determine the solution(s) to the following equation. Be sure to show ALL work.
Question 9
9.
Determine the solution(s) to the following equation. Be sure to show ALL work.
Question 10
10.
Determine the solution(s) to the following equation. Be sure to show ALL work.
Question 11
11.
Solve the following equation. Show all work. For question #12, you will choose which type of solution this problem has.
Question 12
12.
What kind of solution does the following equation have?
Question 13
13.
Solve the following equation. Show all work. For question #14 you will choose which type of solution this problem has.
Question 14
14.
What kind of solution does the following equation have?
Question 15
15.
A student claims that the equation 2x + 6 = 4x + 4 has no solutions because when you substitute 0 for x, the left side has a value of 6 and the right side has a value of 4. Is the student’s reasoning correct? Explain.