math — Act Practice Questions

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1. A car travels at a constant speed of 45 miles per hour. How many feet does the car travel in exactly 1 minute?
2. A large container holds 16 gallons of liquid. If 1 gallon is approximately equal to 3.8 liters, how many liter
3. What is the percent markup on the item?
4. Find the slope of the line passing through (0, -2) and (2, 0).
5. Find the y-intercept of the line 3x - 4y = 12.
6. In the linear equation y = -4x + 9, what is the y-intercept of the line?
7. Solve for x in the equation 5(x + 2) = 35.
8. What is the slope of the line represented by the equation 2x + y = 10?
9. What is the slope of the line that passes through the points (2, 4) and (5, 13) in the standard (x, y) coordin
10. What is the slope of the line y = x?
11. A function is defined by f(x) = 3x^2 - 5x + 7. What is the value of f(-2)?
12. A set of 10 numbers has a sum of 200. If a new number, 42, is added to the set, what is the new mean of the 11
13. A student has an average of 84 on four tests. What score does she need on the fifth test to raise her average
14. How many real solutions are there?
15. A system of equations is given by y = x^2 - 4x + 7 and y = 3… — How many solutions (x, y) satisfy this system?
16. Find the remainder when x^100 - 1 is divided by x - 1.
17. For what values of x is the absolute value inequality 3|x - 1| + 6 > 15 true?
18. For which value(s) of x is the expression (x^2 - 1)/(x^2 + 1) undefined?
19. What is dfrac3+2i1-i written in the standard form a+bi, where i=√(-1)?
20. How many solutions satisfy the system y = x^2 - 6x + 9 and y = 0?
21. If f(x) = 2^x, what is the value of the composite expression f(f(2))?
22. If f(x) = x^2 and g(x) = x - 5, what is the value of (f-g)(4)?
23. If the probability of event A is 0.6 and the probability of event B is 0.3, and A and B are independent, what
24. What is the length of the hypotenuse LK?
25. Solve for x: log_2 (x) + log_2 (x - 2) = 3.
26. What is the mean score for all 30 students combined?
27. What is the common difference d of an arithmetic sequence if the 3rd term is 12 and the 7th term is 32?
28. What is the distance between the origin (0, 0) and the point (-5, 12)?
29. What is the horizontal asymptote of the rational function g(x) = (5x^2 - 3x + 1)/(2x^2 + 7)?
30. What is the value of cos((π)/(3)) + sin((π)/(6))?