Name: Date: Algebra 2 / Trigonometry Midterm Review #2 PART 1 1. When (8x – 3y)2 is expanded, the result is: (a) 64x2 + 9y2 (b) 64x2 – 9y2 (c) 64x2 – 48xy + 9y2 (d) 64x2 + 48xy - 9y2 2. The multiplicative inverse of 3 + i is, (a) 3i 10 (b) 3− i 10 (c) 3− i 8 (d) 3i 8 3. i65 is equivalent to, (a) 1 (b) -1 (c) i (d) -i 4. Which of the following is the equation for the graph of the function g(x), obtained by shifting the graph of f(x) = x three units to the right? (a) g(x) = x-3 (b) g(x) = x +3 (c) g(x) = x 3 (d) g(x) = x3 5. The statement f(-1) = 5 implies which of the following to be true? (a) (b) (c) (d) 5 is in the domain and -1 is in the range. The point (-1, 5) would appear on the graph of this function. The point (5, -1) would appear on the graph of this function. Both -1 and 5 are elements in the range of this function. 6. In electronics, when two resistors, R1 and R2, are connected in parallel, their combined 1 1 1 . When simplified, this complex rational resistance is given by the formula R1 R 2 expression is equivalent to: (a) R1 + R2 (b) R1R2 (c) R1 R2 R1 R2 PART 2 Please show all work for this section. 7. Find 3 20 * 5 5 in simplest form. 8. Simplify: 4 72 6 (d) R1 R2 R1 R2 9. Express 20 8b 3 200b 3 as a monomial in terms of i. 10. What is the solution set for the equation 4 x x 5 10 11. Factor completely: 5x4 + 15x3– 20x2 – 60x 12. Given the function, f(x) = x2 – 12x – 23, find all values of x such that f(x) = 5. 13. Solve the following equation by completing the square. x2 + 4 = 18x 14. Perform the indicated operations and express in simplest form: x 3 2 x 9 x 18 x 3 x 2 15. Given the graph of f(x), state the domain and range, using interval notation. 16. Solve for all values such that f(g(x)) = 0, if f(x) = x2 + 4x + 3 and g(x) = x + 1.