math basic algebra work sheets 9 work sheets

Math 090 Wk 11 TU Indiv

1. Find the missing side of each of the triangles below.

2. You are shopping on Black Friday, and you find an awesome sale on a 65” TV. When describing a TV, you are given the length of the diagonal, so the diagonal of this TV is 65”. The sales person remembers the height of the TV is 33”, but can not remember the width of the TV. You only have a space that is 60” wide and 3 feet tall to put the TV. Is the space you have big enough? To answer, please use the Pythagorean theorem to find the width of the TV.

3. Simplify as much as possible. Assume all variables are positive real numbers.

a. 3

√ t

125

b. 3 √ −40x3y6z

c. √

72x4y7z3

4. Multiply or divide, then simplify if possible.

a. √ x · 3 √ x

b.

3 √ w2

4 √ w

c. √

2xy7 · √

18x3y