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Laabri

College Algebra Chapter 2.1-2.4 Test

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Last updated 4 months ago
21 Nsɛmmisa

This assessment covers key concepts related to linear equations including slope, midpoint, distance, and rate of change. You'll practice calculating these values and apply them to real-world scenarios.

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1.

What is the slope of the line that passes through the points (-3, 4) and (2, 1)?

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2.

Find the midpoint of the line segment connecting (7, -2) and (3, 6).

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3.

What is the distance between the points (1, 2) and (4, 6)?

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4.

Select the correct interpretations of a rate of change of (-3).

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5.

Apply the distance formula to find how far Alex traveled if he started at his home located at point (-2, 3) and visited his friend's house at point (4, 11).

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6.

Find the slope and y-intercept of the equation

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7.

Write the slope-intercept form of a line with a slope of 4 and a y-intercept of -5.

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8.

Does the relation define a function?

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9.

Does the relation define a function?

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10.

Find the coordinates of the other endpoint of the segment,

given its midpoint and one endpoint.

midpoint (-2, 5), endpoint (-5, 1)

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11.

What are the domain and range for the quadratic function

?

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12.

Use the graph above to determine where the function is increasing, decreasing, or constant.

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13.

Write the domain of the following function in set notation { }.

(-1, 0), (3, 9), (4, -5), (-4, 13)

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14.

Write the range of the following function using set notation { }.

(-1, 0), (3, 9), (4, -5), (-4, 13)

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15.

When a certain drug is taken​ orally, the amount​ (in milligrams) of the drug in the bloodstream after t hours is shown in the graph. Find the average rate of change of the amount of the drug in the bloodstream during the time interval from 3 hr to 5 hr.

The average rate of change is ________ mg per hour. (Type an integer or a​ decimal.)

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16.

The Rattler Striking Company sells rattle snake anti-venom. The company has a fixed cost of $2,000 per month and a variable cost of $12 for each unit produced. The units of anti-venom have a selling price of $20 each. How many units must be sold in order for the company to make a break even?

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17.

Write the equation of the line shown on the graph.

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18.

Write the equation of the line shown on the graph.

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19.

Is this relation a function?

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20.

Identify the domain and range of the equation.

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21.

Find the slope of the line through the pair of points.

(2, -16), (2, -17)