Question 1
The line passing through (-2, k) and (4, 1) has a slope of -5/6. What is the value of k?
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Answer question 1 to unlock
A chemist mixes two solutions. Solution A contains 10% acid, and Solution B contains 30% acid. She combines x milliliters of A with y milliliters of B to produce 200 mL of a mixture that is 18% acid. Which system of equations models this situation?
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Answer question 2 to unlock
The line ax + 3y = 12 has the same slope as the line y = 2x - 7. What is the value of a?
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Answer question 3 to unlock
A freelance web developer charges a flat project fee plus an hourly rate. A 5-hour project costs $425, and an 8-hour project costs $560. What is the developer's flat project fee?
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Answer question 4 to unlock
A line passes through the point (2, -3) and is perpendicular to the line 3x - 6y = 18. What is the y-intercept of this line?
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Answer question 5 to unlock
A survey of local farms finds that the cost y (in dollars) to grow x acres of corn can be modeled by y = 350x + 1,200. A second crop, soybeans, is modeled by y = 275x + 2,700. At how many acres do both crops cost the same to grow?
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Answer question 6 to unlock
The points (1, 5), (3, 11), and (6, p) are collinear (they all lie on the same line). What is the value of p?
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Answer question 7 to unlock
A car rental company offers two plans. Plan 1 charges $40 per day with unlimited mileage. Plan 2 charges $25 per day plus $0.15 per mile driven. For a 3-day rental, after how many miles does Plan 2 become more expensive than Plan 1?
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Answer question 8 to unlock
The equation of line L is 2x - 5y = 20. Line M is perpendicular to L and passes through the point where L crosses the y-axis. What is the equation of line M in slope-intercept form?
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Answer question 9 to unlock
A line has the equation y = (2/3)x + b. If the area of the triangle formed by this line and both coordinate axes is 27 square units, and b is positive, what is the value of b?
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