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Laabri

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

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Last updated 4 months ago
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"Source: Open Up Resouces (Download for free at openupresources.org.)"

Asemmisa {{asɛmmisaAhyɛnsode}}
1.

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?

Asemmisa {{asɛmmisaAhyɛnsode}}
2.

Solve 3(x-4)=12x

Asemmisa {{asɛmmisaAhyɛnsode}}
3.

Match each of the following equations with an explaination.

Draggable itemarrow_right_altCorresponding Item

6 = 11x

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Original equation

x = \frac{6}{11}

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Distributive property

2(-3x+4) = 5x +2

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Add 6x to each side

-6x + 8 = 5x +2

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Subtract 2 from each side

8 = 11x + 2

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Multiply each side by \frac{1}{11}

Asemmisa {{asɛmmisaAhyɛnsode}}
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?

Asemmisa {{asɛmmisaAhyɛnsode}}
5.

Choose the equation that has solutions (5, 7) and (8, 13).

Asemmisa {{asɛmmisaAhyɛnsode}}
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?

Asemmisa {{asɛmmisaAhyɛnsode}}
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.)

Asemmisa {{asɛmmisaAhyɛnsode}}
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.