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)
3i
10
(b)
3− i
10
(c)
3− i
8
(d)
3i
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) =
x3
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
72 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.