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Open Up - Grade 8 - Mathematics - Unit 4 - Lesson 4

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Last updated about 1 year ago
8 questions
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Question 1
1.

Question 2
2.

Solve 3(x-4)=12x

Question 3
3.

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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.
Where is Andre’s mistake and what is the solution to the equation?

Question 5
5.

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?

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? (If your answer is a fraction leave it as one.)

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.

"Source: Open Up Resouces (Download for free at openupresources.org.)"
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?
Both have correct solutions.
Only Mai has a coorrect solution.
Only Tyler has a coorrect solution.
Neither of them have a correct solution.
Match each of the following equations with an explaination.
6 = 11x
Original equation
x = \frac{6}{11}
Distributive property
2(-3x+4) = 5x +2
Add 6x to each side
-6x + 8 = 5x +2
Subtract 2 from each side
8 = 11x + 2
Multiply each side by \frac{1}{11}
Choose the equation that has solutions (5, 7) and (8, 13).
y-x=5
3x - y =8
y=x+2
y=2x-3