Math 263: Practice #4 (Chapter 7 & 8)
1- Multiplying radical expressions. Assume all variables represent positive real numbers.
Pg. 531: 75, 76, 77, 78, 79, 80
and
√
√
2- Add or subtract radical expressions. Pg. 538: 21, 22, 24, 27, 28, 69, 70 and
√
√
√
(x > 0)
3- Dividing radical expressions. Assume all variables represent positive real numbers.
Pg. 539: 53, 55, 56, 59, 60, 61, 52
4- Rationalize each denominator and simplify if possible. Pg. 550: 75, 76, 77, 78, 79, 80, 83, 84
5- Solve each radical equation. Pg. 559: 9, 10, 11, 12, 13, 25, 26 and √
6- Solve each radical equation involving two radicals. Pg. 560: 21, 22, 23, 24, 33, 34
7- Divide and simplify to (a + bi). Pg. 570: 66, 67, 68, 69, 70, 76, 77
8- Divide and simplify to (a + bi). Pg. 570: 79, 80, 82, 84, 89, 92, 93, 94
9- Find x- and y-intercepts. Pg. 626: 17, 18, 28, 29, 32, 36
and
and
a) y = x 2 – 12x + 7
b) y = x 2 + 18x – 5
10- Use x 
b
to find the vertex of a parabola and then sketch the parabola.
2a
Pg. 626: 28, 32, 33, 34, 35, 36, 38
11- Solve each equation by making an appropriate substitution. Pg. 635: 7, 8, 10, 11, 12
12- Solve each polynomial inequality and graph the solution set on a real number line.
Pg. 649: 6, 9, 10, 11, 12, 13, 14, 15, 16
13- Solve each rational inequality, and graph the solution set on a real number line.
Pg. 649: 42, 44, 45, 46, 47, 48