Quiz-Tree

Medium - Quiz 1

Strengthen your ability to write, interpret, and work with linear equations in two variables across a variety of real-world contexts.

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Question 1
A line passes through the points (1, 2) and (4, 11). What is the equation of the line in slope-intercept form?
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A plumber charges a $45 service call fee plus $30 per hour of labor. If a customer's bill was $165, how many hours of labor were performed?
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The equation 3x + 2y = 18 represents a line. What is the slope of this line?
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A biologist is tracking the growth of a plant. On day 3, the plant is 14 cm tall. On day 7, it is 22 cm tall. If the plant grows at a constant rate, what is its height y (in cm) on day x?
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A line has the equation y = -x + 6. At what point does this line cross the x-axis?
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A ride-share app charges a base fare of $2.50 plus $1.20 per mile. A second app charges no base fare but $1.80 per mile. For how many miles would both apps cost the same?
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The table below shows a linear relationship between x and y. | x | y | |---|----| | 0 | -4 | | 2 | 0 | | 4 | 4 | Which equation represents this relationship?
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A population of fish in a lake is modeled by y = -15x + 300, where x is the number of years since 2020 and y is the number of fish. What does the slope of -15 represent in this context?
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Which of the following equations represents a line that is parallel to y = 5x - 3?
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An online store sells custom T-shirts for $12 each and charges a flat shipping fee of $7 per order. If a customer places an order totaling $67, how many T-shirts did they buy?
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A line passes through (2, 5) and has a slope of -3. What is the y-intercept of this line?
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