math basic algebra work sheets 9 work sheets

Math 090 Wk 13 TR GW

1. Simplify the following.

(−27) 1 3 16−

1 2

√ 8x2y3z6 3

√ 24x5y6z13

2 √

50 + 3 √

200 − 7 √

18 3x 3 √

3x2 + 3 √

24x5 x 2 3 ·x

1 2

w 3 4

w 1 3

(2 √ x + 3)(

√ x− √

3) 3 √ x2 · √ x (2 + 3i)(4−5i)

1 − 2i 3 + i

2. Solve the following for the indicated variable.

V = 1

3 πr2h for r M =

J

k2 for k L =

√ hm

p for p

3. For each of the following quadratic equations, find the vertex, state whether it opens upward or downward, find all intercepts, and sketch a graph.

f(x) = 2x2 g(x) = −(x−3)2 + 4 h(x) = −2(x + 5)2 −4

j(x) = −x2 + 4 k(x) = 3x2 − 12 p(x) = (x− 1)2 − 9