Mai and Tyler work on the equation \frac{2}{5}b+1=-11 together. Mai's solution is b = -25 and Tyler's is b = -28. Here is their work:
Do you agree with their solutions?
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Question 2
2.
Solve 3(x-4)=12x (type your answer as a fraction)
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Question 3
3.
Match each of the following equations with an explaination.
Draggable item
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Corresponding Item
x = \frac{6}{11}
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Original equation
-6x + 8 = 5x +2
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Distributive property
2(-3x+4) = 5x +2
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Add 6x to each side
6 = 11x
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Subtract 2 from each side
8 = 11x + 2
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Multiply each side by \frac{1}{11}
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Question 4
4.
Andre solved an equation, but when he checked his answer he saw his solution was incorrect. He knows he made a mistake, but he can’t find it.
Identify his mistake then find the solution to the equation.
Type only the correction solution.
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Question 5
5.
Choose the equation that has solutions (5, 7) and (8, 13). SHOW YOUR WORK ON YOUR PAPER!
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Question 6
6.
A length of ribbon is cut into two pieces to use in a craft project. The graph shows the length of the second piece, x, for each length of the first piece, y.
How long is the ribbon?
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Question 7
7.
A length of ribbon is cut into two pieces to use in a craft project. The graph shows the length of the second piece, x, for each length of the first piece, y.
What is the slope of the line?
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Question 8
8.
A length of ribbon is cut into two pieces to use in a craft project. The graph shows the length of the second piece, x, for each length of the first piece, y.
Explain what the slope of the line represents and why it fits the story.