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Math 151 Practice Quiz
1. Find the distance between the points (1, 2) and (0, 4).
E. none of the above
2. Find the coordinates of the x  intercept of the line 3x  y  3 = 0.
A. (1, 0)
B. (0, 1)
C. (3, 0)
D. (1, 0)
E. none of the above
3. Find all solutions to the equation 3x + 5 = 25.
E. none of the above
4. Evaluate 5x^2  3 when x = 2.
A. 23
B. 2
C. 19
D. 2
E. none of the above
5. What is the slope of the line through the points (7, 3) and (1, 2)?
E. none of the above
6. Find the slope of the line 3x  4y + 2 = 0.
E. none of the above
7. Solve x ^2  7x = 12.
A. 3 and 4
B. 3 and 4
C. 3 and 4
D. 3 and 4
E. none of the above
8. Solve 10 ≤2x≤4.
A. [2,5]
B. [5, 2]
C. [2, 5]
D. [5,2]
E. none of the above
9. Sketch the graphs of the following functions.
10. Solve 5x = 10.
A. 2
B. 2
C. 2 and 2
D. no solution
E. none of the above
11. Find the domain of
E. none of the above
12. Solve the following system of equations :
D. no solution
E. none of the above
13. What is the vertex of the parabola f(x) = (x  3)^2 + 1 and what is its maximum or minimum value?
A. vertex (3, 1) with minimum 1
B. vertex (3, 1) with maximum 1
C. vertex (3, 1) with minimum 1
D. vertex (3, 1) with maximum 1
E. none of the above
14. If f(x) = 3x  2, find f(x  1).
A. 6x  4
B. 3x  5
C. 3x + 1
D. 3x  3
E. none of the above
15. What is f(x) = x^2 + 2x  1 written in standard form?
E. none of the above
16. Find the inverse function of f(x) = 3x + 4.
E. none of the above
17. Let f(x) = x + 4 and g(x) = x^2. Find g(f(1)).
A. 25
B. 3
C. 5
D. 9
E. none of the above
18. Find the y intercept of f (x) = (x + 2)(x  3)^2.
A. 6
B. 6
C. 18
D. 18
E. none of the above
19. Use long or synthetic division to find the remainder of
A. 3
B. 5
C. 9
D. 25
E. none of the above
20. Evaluate log _{5}125:
A. 3
B. 5
C. 5
D. 25
E. none of the above
21. Evaluate log _{2}1.
A. 1
B. 0
C. 1
D. 5
E. none of the above
22. Write 4^{x} = 3 in logarithmic form.
E. none of the above
23. Sketch the graphs of the following functions.
24. Solve log _{5}x = 2 for x
E. none of the above
25. What is the range of f(x) = 10^{x}  2?
E. none of the above
26. What is the domain of ln(x + 2)?
E. none of the above
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