Question 1

The line passing through (-2, k) and (4, 1) has a slope of -5/6. What is the value of k?

• A 6
• B -6
• C -4
• D 4

🔒 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?

• A x + y = 200 and 0.10x + 0.30y = 36
• B x + y = 200 and 0.10x + 0.30y = 0.18
• C x + y = 200 and 0.10x + 0.30y = 200
• D x + y = 200 and 10x + 30y = 18

🔒 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?

• A -2
• B 6
• C -6
• D 3

🔒 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?

• A $245
• B $200
• C $180
• D $225

🔒 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?

• A -1
• B 3
• C -7
• D 1

🔒 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?

• A 20 acres
• B 25 acres
• C 30 acres
• D 15 acres

🔒 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?

• A 18
• B 17
• C 23
• D 20

🔒 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?

• A 200 miles
• B 100 miles
• C 400 miles
• D 300 miles

🔒 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?

• A y = (5/2)x - 4
• B y = (-5/2)x - 4
• C y = (-2/5)x - 4
• D y = (-5/2)x + 4

🔒 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?

• A 3
• B 6
• C 9
• D 12