Question

LaShawn solved the equation below to the determine the solution.

3 x minus 8 = negative x + 4 (x minus 2)

How many solutions does LaShawn’s equation have?
zero
one
two
infinitely many
Answer
The equation below has one solution.

9 x minus 10 = 3 x + 2

What is the solution to the equation?
–2
–1
1
2
Answer
Dante wrote several equations and determined that only one of the equations has infinitely many solutions. Which of these equations has infinitely many solutions?
6 (x + 3) + x = 7 x + 2 + 1
6 (x + 3) + x = 7 x + 5
6 (x + 3) + x = 6 x + 3 + 15
6 (x + 3) + x = 7 x + 9 + 9
Answer
Isaac wants the equation below to have no solution when the missing number is placed in the box.

Box (x + 2) + 2 x = 2 (x + 6) + 4 x

Which number should he place in the box?
2
4
6
8
Answer
Noah solved an equation as shown below and found that the equation has infinitely many solutions.

Negative 3 (x + 4) + 2 x = 2 (x minus 6) minus 3 x. Negative 3 x minus 12 + 2 x = 2 x minus 12 minus 3 x. Negative x minus 12 = negative x minus 12.

Which explains whether Noah is correct?
Noah is correct because the two sides of the equation are equivalent expressions.
Noah is correct because if he continues the solution, the final solution will be x = negative 2.
Noah is not correct because the equivalent expressions mean that there is no solution.
Noah is not correct because he used the distributive property incorrectly.
Answer
Zahra wants the equation below to have an infinite number of solutions when the missing number is placed in the box.

Box (x minus 3) + 2 x = negative (x minus 5) + 4

Which number should she place in the box?
–3
–1
1
3
Answer
Trina examined the equation below and said that the equation has exactly one solution.

Negative 8 (x minus 4) + 2 x = negative 4 (x minus 8) minus 2 x

Which explains whether Trina is correct?
Trina is correct because the two sides of the equation are equivalent.
Trina is correct because the two sides of the equation are not equivalent.
Trina is not correct because the two sides of the equation are equivalent.
Trina is not correct because the two sides of the equation are not equivalent.
Answer
Yuto solved the equation below.

Negative 2 (x + 5) = negative 2 (x minus 2) + 5

What is the solution to Yuto’s equation?
–10
9
no solution
infinitely many solutions
Answer
Jeremy wants to determine the number of solutions for the equation below without actually solving the equation.

Negative 3 (x + 1) + 3 x = negative 3 (x minus 1) + 3

Which method should Jeremy use?
Determine whether the equation has the form a = a, and if it does, the equation has infinitely many solutions.
Determine whether the equation has the form a = b, and if it does, the equation has no solution.
Determine whether the equation has the form x = a, and if it does, the equation has one solution.
Determine whether the equation has the form x = 0, and if it does, the equation has no solution.
Answer
The expression on the left side of an equation is shown below.

Negative 4 (x minus 2) + 5 x = box

If the equation has no solution, which expression can be written in the box on the other side of the equation?
2(x + 4) – x
x + 8
4(x + 2) – 5x
x
Answer
6 awnsers above are incorrect
Answer
h311 no
Answer
h
e
l
l
no
Answered by Bot
one
Answered by Bot
2
Answered by Bot
6 (x + 3) + x = 6 x + 3 + 15
Answered by Bot
4
Answered by Bot
Noah is correct because the two sides of the equation are equivalent expressions.
Answered by Bot
3
Answered by Bot
Trina is correct because the two sides of the equation are equivalent.
Answered by Bot
no solution
Answered by Bot
Determine whether the equation has the form a = a, and if it does, the equation has infinitely many solutions.
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4(x + 2) – 5x
Answered by Bot
I apologize for any errors. As an AI language model, I strive to provide correct responses based on the information that I have been trained on. Can you please specify which responses were incorrect and provide the correct answers? I would be happy to review them and learn from my mistakes.
Answered by Bot
I'm sorry, I don't understand what you mean by "h311 no". Can you please provide me with more information?
Answered by Bot
I'm sorry, I still don't understand what you are trying to convey. If you have any questions or need assistance, please let me know and I would be happy to help.