11
Chapter 1: Algebra Review
Absolute Value Equations
48–51 Solve the given absolute value equation.
48. 5 7 2
x − =
49. 4 5 18 13
x − + =
50. x
x
2
6
27
−
=
51. 15 5 35 5
x
x
− =
−
Solving Rational Equations
52–55 Solve the given rational equation.
52. x
x
+
−
=
1
4
0
53. 1
2
1 1
x
x
+
+ =
54. x
x
x
x
+
+
= −
−
5
2
4
10
55. 1
2
2
3
1
5
6
2
x
x
x
x
−
− −
=
−
−
+
40. Solve 2x
2
+ 3x – 4 = 0 by completing the
square.
41. Solve 6x
2
+ 5x – 4 = 0.
42. Solve 3x
2
+ 4x – 2 = 0.
43. Solve x
10
+ 7x
5
+ 10 = 0.
Solving Polynomial Equations
by Factoring
44–47 Solve the polynomial equation by factoring.
44. 3x
4
+ 2x
3
– 5x
2
= 0
45. x
8
+ 12x
4
+ 35 = 0
46. x
4
+ 3x
2
– 4 = 0
47. x
4
– 81 = 0