Name ________________________________ Date ______________ Chapter 6 Review 2
Evaluate without a calculator.
1.
−
1
3
⎛ 1 ⎞ 3
2. ⎜
⎟
⎝ 125 ⎠
(−32) 5
Simplify each expression. Assume all variables are positive. Do not leave any exponents negative. Do not leave
any roots in the denominator.
−2
⎛ 3xy−1 ⎞
3. ⎜
2 ⎟
⎝ 2xy ⎠
4.
5. A rectangle has a length of 3x
6. 6 3 5 + 2 3 5 − 3 3 5
5
3
units and a width of 7x
7.
3
1
2
−5
and g ( x ) = x − 4x1 2 +1 . Find
f ( x ) − g ( x ) . State the
Chpt 6 Review 2.pages
32x 4
units. What is the area of the rectangle?
8. 2 27 − 3 48
250 + 3 2
9. Find the perimeter of a square whose sides
measure 3 54 + 2 3 16 .
11. Let f ( x ) = 2x 2 + 3x
4
3
3
10. Find the area of a triangle whose base is
4 + 8 3 feet and height is 6 .
domain.
12. Let f ( x ) = x 2 +1 and
g ( x ) = x1 2 . Find
f ( x ) ⋅ g ( x ) . State the
domain.
13. Let f ( x ) = 2x 2 − x and
g ( x) =
x −1
. Find f ( g ( x )) .
3
Name ________________________________ Date ______________ Chapter 6 Review 2
Solve and check each equation.
14. 3 x + 5 + 2 = 7
16.
15. x +1 = 3x + 7
3x + 4 = 1+ x +1
17. The velocity of a free falling object is given by V = 2gh , where V is velocity (in meters per second), g is
acceleration due to gravity (in meters per second squared), and h is the distance (in meters) the object has
fallen. The value of g depends on which body/planet is attracting the object. If an object hits the surface with
a velocity of 30 meters per second, from what height was it dropped on Earth where g = 9.81 m/s2?
Chpt 6 Review 2.pages
Name ________________________________ Date ______________ Chapter 6 Review 2
Worked out solutions
http://www.educreations.com/lesson/view/chpt-6-review-2-1-2/5891838/?s=RSF9rw&ref=link
http://www.educreations.com/lesson/view/chpt-6-review-2-3-4/5892181/?s=mc5jCQ&ref=link
http://www.educreations.com/lesson/view/chpt-6-review-2-5/5892337/?s=QHUWvt&ref=link
http://www.educreations.com/lesson/view/chpt-6-review-2-6-10/5892872/?s=UAPfCC&ref=link
http://www.educreations.com/lesson/view/chpt-6-review-2-11-13/5893505/?s=XRcKvG&ref=link
http://www.educreations.com/lesson/view/chpt-6-review-2-14-17/5935069/?s=npkiZI&ref=link
Chpt 6 Review 2.pages
Name ________________________________ Date ______________ Chapter 6 Review 2
Chpt 6 Review 2.pages