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

By Formative Library
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Last updated over 2 years ago
14 Questions
1
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)
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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)
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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.
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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)
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