Open Up - Grade 8 - Mathematics - Unit 3 - Lesson 14

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Last updated over 2 years ago
12 Questions
1
1.
The owner of a new restaurant is ordering tables and chairs. He wants to have only tables for 2 and tables for 4. The total number of people that can be seated in the restaurant is 120.

Describe some possible combinations of 2-seat tables and 4-seat tables that will seat 120 customers. Explain how you found them.
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2.
The owner of a new restaurant is ordering tables and chairs. He wants to have only tables for 2 and tables for 4. The total number of people that can be seated in the restaurant is 120.

Write an equation to represent the situation. What do the variables represent?.
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3.
The owner of a new restaurant is ordering tables and chairs. He wants to have only tables for 2 and tables for 4. The total number of people that can be seated in the restaurant is 120.

Create a graph to represent the situation.
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4.
The owner of a new restaurant is ordering tables and chairs. He wants to have only tables for 2 and tables for 4. The total number of people that can be seated in the restaurant is 120.

What is the slope in this situation?(Keep as a fraction if the answer is a fraction)
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5.
The owner of a new restaurant is ordering tables and chairs. He wants to have only tables for 2 and tables for 4. The total number of people that can be seated in the restaurant is 120.

Interpret the x and y intercepts in the situation.
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6.
Triangle A is an isosceles triangle with two angles of measure x degrees and one angle of measure y degrees.

Find three combinations of x and y that make this sentence true.
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7.
Triangle A is an isosceles triangle with two angles of measure x degrees and one angle of measure y degrees.

Write an equation relating x and y.
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8.
Triangle A is an isosceles triangle with two angles of measure x degrees and one angle of measure y degrees.

If you were to sketch the graph of this linear equation, what would its slope be?(Keep as a fraction if the answer is a fraction)
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9.
Select all the equations for which (-6, -1) is a solution.
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10.
Consider the following graphs of linear equations. Decide which line has a positive slope, and which has a negative slope.
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Line l
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Line m
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11.
Consider the following graphs of linear equations. Calculate the slope of line l.
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12.
Consider the following graphs of linear equations. Calculate the slope of line m.
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