Quiz-Tree

Medium - Quiz 2

Apply your knowledge of linear equations in two variables to multi-step problems involving slopes, intercepts, parallel and perpendicular lines, and real-world modeling.

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Question 1
A line passes through the points (-1, 7) and (3, -5). What is the equation of the line in slope-intercept form?
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A researcher records the temperature inside a greenhouse. At 8:00 AM the temperature is 64°F, and it increases at a steady rate of 3°F per hour. At what time will the temperature reach 85°F?
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Line A has the equation 4x - 2y = 10. Line B passes through the origin and is perpendicular to Line A. What is the slope of Line B?
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A city's water utility charges a monthly base fee of $18 plus $0.005 per gallon used. A household's bill last month was $43. How many gallons of water did the household use?
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The equation of a line is 5x - 3y = 15. What are the x-intercept and y-intercept of this line?
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A tutoring center tracks enrollment over several weeks. In week 2, there are 38 students. In week 6, there are 54 students. Assuming enrollment grows linearly, how many students were enrolled in week 0?
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Which of the following lines is perpendicular to y = (2/3)x - 4?
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An economist models the price of a commodity as y = -0.5x + 11, where x is the number of months since January (January = 1) and y is the price in dollars. According to this model, during which month does the price first drop below $5?
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A line passes through (4, -2) and is parallel to the line 6x + 3y = 9. What is the equation of this line in slope-intercept form?
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A delivery company charges based on the weight of a package. A 3-pound package costs $11.50 to ship, and a 7-pound package costs $21.50. What is the cost to ship a 10-pound package?
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The lines y = kx + 1 and y = -2x + 16 intersect at x = 3. What is the value of k?
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