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.
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1
Question 1
1.
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1
Question 2
2.
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1
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.
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Question 4
4.
Laura's equation has ___________ solution(s).
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1
Question 5
5.
Nia's equation has ___________ solution(s).
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1
Question 6
6.
Leo's equation has ___________ solution(s).
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1
Question 7
7.
Why did you choose the type of solution you did for each person?
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1
Question 8
8.
Determine the solution(s) to the following equation. Be sure to show ALL work.
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1
Question 9
9.
Determine the solution(s) to the following equation. Be sure to show ALL work.
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1
Question 10
10.
Determine the solution(s) to the following equation. Be sure to show ALL work.
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1
Question 11
11.
Solve the following equation. Show all work. For question #12, you will choose which type of solution this problem has.
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1
Question 12
12.
What kind of solution does the following equation have?
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1
Question 13
13.
Solve the following equation. Show all work. For question #14 you will choose which type of solution this problem has.
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1
Question 14
14.
What kind of solution does the following equation have?
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1
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.