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Laabri

Open Up - Grade 7 - Mathematics - Unit 7 - Lesson 3

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"Source: Open Up Resouces (Download for free at openupresources.org.)"

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1.

Two lines intersect. Find the value of b and c.

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2.
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3.

In this figure, angles R and S are complementary. Find the measure of angle S.

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4.

If two angles are both vertical and supplementary, can we determine the angles?

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5.

If two angles are both vertical and supplementary, is it possible to be both vertical and complementary?

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6.

If two angles are both vertical and supplementary, is it possible to be both vertical and complementary?

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7.

If two angles are both vertical and supplementary,If questions 5 and 6 are true , can you determine the angles?(answer NO if either question 5 or 6 are not possible)

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8.

Factor each expression.

15a - 13a

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9.

Factor each expression.

-6x-18y

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10.

Factor each expression.

36abc+54ad

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11.

The directors of a dance show expect many students to participate but don’t yet know how many students will come. The directors need 7 students to work on the technical crew. The rest of the students work on dance routines in groups of 9. For the show to work, they need at least 6 full groups working on dance routines.

Write and solve an inequality to represent this situation.(Short Answer)

graph the solution on a number line.(show your work)

Asemmisa {{asɛmmisaAhyɛnsode}}
12.

The directors of a dance show expect many students to participate but don’t yet know how many students will come. The directors need 7 students to work on the technical crew. The rest of the students work on dance routines in groups of 9. For the show to work, they need at least 6 full groups working on dance routines.

Write and solve an inequality to represent this situation.(Short Answer)

graph the solution on a number line.(show your work)

Asemmisa {{asɛmmisaAhyɛnsode}}
13.

The directors of a dance show expect many students to participate but don’t yet know how many students will come. The directors need 7 students to work on the technical crew. The rest of the students work on dance routines in groups of 9. For the show to work, they need at least 6 full groups working on dance routines.

Write a sentence to the directors about the number of students they need.

Asemmisa {{asɛmmisaAhyɛnsode}}
14.

A small dog gets fed \frac{3}{4} cup of dog food twice a day. Using d for the number of days and f for the amount of food in cups, write an equation relating the variables.

Use the equation to find how many days a large bag of dog food will last if it contains 210 cups of food.(please answer in f = form)