1. Multiply x + 3 by x – 12.
2. Determine the domain and range of the relation.
{(1, 4), (2, 13), (3, 17), (4, 25)}
A) Domain: {1, 2, 3, 4}; Range: {4, 13, 17, 25}
B) Domain: {4, 13, 17, 25}; Range: {1, 2, 3, 4}
3. The minimum distance from Earth to the planet Saturn is 1,660,000,000 km. Express the number in scientific notation.
4. The total cost in hundreds of dollars of producing x items per hour in an 8-hour shift is given by the function C(x) = 5x. Suppose that the number of items produced per hour for an 8-hour period is a function of the time t after an 8-hour shift begins and is given by x(t) = –t2 + 7t + 8, . Write a function f(t) to represent the hourly cost in hundreds of dollars at time t.
5. Solve the word problem. Be sure to show the equation you use for the solution.
To attend a friend's wedding, you must buy an airplane ticket and rent an automobile. If you can spend a total of $685 and the plane ticket will cost $325, how much can you spend on car rental?
6. Use the roster method to list the elements of the set of positive integer multiples of 11.
7. True or False: A polynomial can have more than four terms.
A) True
B) False
8. Evaluate the expression if a = –3 , b = 3, and c = 7.
a + 2b – c
A) –4 B) –10 C) –11 D) 10 E) None of the above
9. Factor completely.
m2 – 7m + 10
A) (m + 3)(m –4) D) (m – 10)(m – 1)
B) (m + 5)(m – 2) E) None of the above
C) (m – 5)(m – 2)
10. Peform the indicated calculations. Write your result in scientific notation.
(6.2 10–5)(4.5 10–3)
10. Factor completely using the trial-and-error method.
3x3 – 9x2 –84x
A) 3(x + 12)(x – 7) D) 3(x + 4)(x2 – 7x)
B) 3x(x + 4)(x – 7) E) None of the above
C) (3x + 4)(x – 21)
11. Solve the word problem. Be sure to show the equation you use for the solution.
You and your friend have saved a total of $4869 from your summer jobs. If you saved $2095, how much did your friend save?
12. Is the pair of lines parallel, perpendicular, or neither?
L1 through (3, 2) and (–4, 5); L2 through (–3, 0) and (0, 7)
A) parallel B) perpendicular C) neither
13. Factor completely.
3x2 – 9x – 84
A) (3x + 4)(x – 21) D) 3(x + 12)(x – 7)
B) (3x + 12)(x – 7) E) None of the above
C) 3(x + 4)(x – 7)