MTH 1260
Pre-Calculus Review
1. Evaluate the following expressions for x = 4, y = 2, and z = −3.
(a) 3x − x3
(c) xy − y x
(b) z 1+y
(d) y z
2
2. Solve: 5a + 7 = 2a + 7
3. Solve: 2x − 5 = 4(3x − 1) − 2
4. If 2x + 3 = 5 − 4x, evaluate 6x − 7.
5. The perimeter of a rectangular office is 44 ft. The length of the office is 2 ft more than the
width. Find the dimensions of the office.
6. Subtract:
7. Divide:
3
2
−
2x − 1 3x + 1
3(x − y)
2x(x − y)
÷
x2 y(x + y)
x2 y 2
16
x
8. Simplify: 32
x−4−
x
x−
9. Factor each of the following expressions.
(a) 12a2 b + 3ab2
(b) n4 − 2n3 − 3n2
(c) 6x2 − 29x + 28
10. Solve using the quadratic formula: x2 − 3x − 18 = 0
11. Simplify each of the following expressions.
(a) 32−2/5
(b)
√
√
500 − 4 45
12. Simplify by rationalizing the denominator: √
2
3−1
(c)
p
4
x8 y 7 z 11