In the equation x² + mx + n = 0, m and n are integers. The only possible value for x is -3. What is the value of m?
A.) 3 B.) -3 C.) 6 D.) -6 E.) 9
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On the way to a family camping weekend, the Estradas stopped at a roadside stand to purchase firewood. The stand sold bundles of pine firewood for $2 per bundle and bundles of hickory firewood for $4 per bundle. The Estradas purchased a total of 25 bundles of pine firewood and hickory firewood for $66. How many bundles of pine firewood did the Estradas purchase?
A.) 8 B.) 11 C.) 17 D.) 21 E.) 22 (x - 9)²
--------- = ? , for x ≠ 81 x² - 81 A.) x - 9 ------- x + 9 B.) 1 ------ x - 9 C.) 1 ------- x + 9 D.) - 1/9 E.) 1/9 The solution set of √(x - 1) > 5 is the set of all real numbers, x, such that:
A.) x > 4 B.) x > 6 C.) x > 24 D.) x > 25 E.) x > 26
The line m goes through the points (1, 2) and (5, 10). Which of the following is the equation of a line perpendicular to m and passing through the point (1,2) ?
A.) 4x + 2y = 6 B.) 2x - y = 0 C.) x + y = 3 D.) x + 2y = 6 E.) x + 2y = 5 What is the least value of x that satisfies the equation, x² - 7x + 6 = 6 ?
A.) -7 B.) -6 C.) - 4 D.) 0 E.) 1 The function f(x) is defined as f(x) = 3x² - 5 for all real numbers x.
What is f(-4) ? A.) -149 B.) -53 C.) -29 D.) 43 E.) 139 What is the value of the expression g ∙ (g + 1)²
for g = 2? A.) 10 B.) 12 C.) 18 D.) 20 E.) 36 Which of the following sequence of shifts would you perform in order to obtain the graph of f(x) = (x - 4)² + 1
from the graph of g(x) = x² A.) Shift the graph of g up 1 unit and then left 4 units B.) Shift the graph of g down 1 unit and then right 4 units C.) Shift the graph of g up 1 unit and then right 4 units D.) Shift the graph of g down 4 units and then right 1 unit E.) none of these Three fire trucks and 4 ambulances can fit into a parking lane 152 ft long. Two fire trucks and 5 ambulances can fit into a lane 136 ft long. How many feet long must a parking lane be for 1 fire truck and 5 ambulances? Assume
there is 1 ft of space between each vehicle. A.) 75 ft B.) 90 ft C.) 100 ft D.) 105 ft E.) 110 ft |
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