| Solve the equation by factoring: 2x2 – 6x = 0 a. (-3,0) b. (0,3) c. (0,6) d. (-3,3) | |
| 9 | Answer: Which quadratic equation has roots -2 and 3? a. x2 + x + 6 = 0 b. x2 – x – 6 = 0 c. x2 – 6x + 1 = 0 d. x2 + x – 6 = 0 |
| 10 | Answer: To solve x2 + 8x + 16 = 25 by using the Square Root Property, you would first rewrite the equation as _____. a. (x + 4)2 = 25 b. x2 + 8x – 9 = 0 c. (x + 4)2 = 5 d. x2 + 8x = 9 |
| 11 | Answer: Find the value of c that makes x2 + 10x + c a perfect square. a. 100 b. 25 c. 10 d. 50 |
| 12 | Answer: The quadratic equation x2 + 6x = 1 is to be solved by completing the square. Which equation would be the first step in that solution? a. x2 + 6x – 1 = 0 b. x2 + 6x + 36 = 1 + 36 c. x(x + 6) = 1 d. x2 + 6x + 9 = 1 + 9 |
| 13 | Answer: Find the exact solutions to x2 – 3x + 1 = 0 by using the Quadratic Formula. _ -3 ± √5 a. ——————— 2 |
Find p(-3) if p(x) = 4 – x a. 12 b. 4 c. 1 d. 7 |
2 | Answer: Referring to the figure, state the number of real zeros for the function whose graph is shown. a. 0 b. 1 c. 2 d. 3 |
3 | Answer: Referring to the figure, determine the values of x between which a real zero is located. a. between -1 and 0 b. between 6 and 7 c. between -2 and -1 d. between 2 and 3 |
4 | Answer: Referring to the Fig. in Question #3, estimate the x-coordinate at which a relative minimum occurs. a. 3 b. 2 c. 0 d. -1 |
5 | Answer: Write the expression x4 + 5x2 – 8 in quadratic form, if possible. a. (x2)2 + 5(x2) – 8 b. (x4)2 + 5(x4) – 8 c. (x2)2 – 5(x2) – 8 d. not possible |
6 | Answer: Solve x4 – 13x2 + 36 = 0 a. -3, -2, 2, 3 b. -9, -4, 4, 9 c. 2, 3, 2i, 3i d. -2, -3, 2i, 3i |
7 | Answer: Use synthetic substitution to find f(3) for f(x) = x2 – 9x + 5 a. -23 b. -16 c. -13 d. 41 |
8 | Answer: One factor of x3 + 4x2 – 11x – 30 is x + 2. Find the remaining factors. a. x – 5, x + 3 b. x – 3, x + 5 c. x – 6, x + 5 d. x – 5, x + 6 |
9 | Answer: Which describes the number and type of roots of the equation 4x + 7 = 0? a. 1 imaginary root b. 1 real root and 1 imaginary root c. 2 real roots d. 1 real root |
10 | Answer: Which is not a root of the equation x3 – x2 – 10x – 8 = 0? a. 1 b. 4 c. -2 d. -1 |
11 | Answer: List all of the possible rational zeros of f(x) = x3 – 7x2 + 8x – 6. a. ±1, ±1/2, ±1/3, 1/6 b. 0, ±1, ±2, ±3, ±6 c. ±1, ±2, ±3, ±4, ±6 d. ±1, ±2, ±3, ±6 |
12 | Answer: Find all the rational zeros of p(x) = x3 – 12x – 16. a. -2, 4 b. 2, -4 c. 4 d. -2 |
13 | Answer: Find (f + g)(x) given f(x) = x + 5 and g(x) = 2x a. 3x + 5 b. x + 5 c. 2x + 10 d. 2x2 + 5 |
14 | Answer: Find (f·g)(x given f(x) = x + 5 and g(x) = 2x a. 2x2 + 5 b. 3x2 + 10x c. 2x2 + 10x d. 2x + 10 |
15 | Answer: if f(x) = 3x +7 and g(x) = 2x – 5, find g[f(-3))] a. -26 b. -9 c. -1 d. 10 |
16 | Answer: if f(x) = x2 and g(x) = 3x – 1 find [g•f](x) a. x2 b. 9x2 – 1 c. 9x2 – 6x + 1 d. 3x3 – x2 |
17 | Answer: Find the inverse of g(x) = -3x a. g-1(x) = x + 1 b. g-1(x) = -3x – 3 c. g-1(x) = x – 1 d. g-1(x) = –x/3 |
18 | Answer: Determine which pair of functions are inverse functions. a. f(x) = x – 4 g(x) = x + 4 b. f(x) = x – 4 g(x) = 4x – 1 c. f(x) = x – 4 g(x) = (x – 4)/4 d. f(x) = 4x – 1 g(x) = 4x + 1 |
19 | Answer: Referring to the figure, state the domain and range of function graphed. a. D: x > 2, R: y > 0 b. D: x < 2, R: y > 0 c. D: x ≥ 2, R: y < 0 d. D: x ≥ 2, R: y ≥ 0 |
20 | Answer: Referring to the figure, which inequality is shown in the graph. ______ a. y ≤ √4x + 8 ______ b. y > √4x + 8 ______ c. y < √4x + 8 ______ d. y ≥ √4x + 8 |
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