Chapter 6 • Test 2013 Form A

Name ______/100

Please read all directions carefully and show all of your work.

Matching: Match each expression on the left with the equivalent expression on the right.
______1.
______2.
______3.
______4.
______5.
______6.
______7.
______8.
______9.
______10.
______11. / (x2)3
5x-2
-5x0
x2 · x3
-52
(5x)-2
(-5x)0
(-5)2
(-5)-2
-5-2
/ A.
B. x
C.
D. -25
E. x
F. 25
G.
H. -5
I. 1
J.
K.
L.
Simplify each expression:
12.
/ 13.
c · c · c · c² / 14.
(-2w³)
15.
/ 16.
/ 17.

18.
(3x)(–5x)(–5x) / 19.
/ 20.

21.
(7x2y3)3 / 22.
/ 23.

Simplify each expression:
24.
/ 25.

26.
/ 27.

28.
/ 29.

Evaluate the expression when a = -1 and b = 2.
30. (a2b2)3
Evaluate: ______/ 31. (a3b4) · (a2b)4
Evaluate: ______
Classify each table as linear, exponential, or neither:
32.
x / y
1 / 2
2 / 12
3 / 72
4 / 432
5 / 2592
Answer: ______/ 33.
x / y
1 / 73
2 / 148
3 / 223
4 / 298
5 / 373
Answer: ______/ 34.
x / y
1 / 5
2 / 11
3 / 21
4 / 35
5 / 53
Answer: ______
Classify each graph as linear, exponential, or neither:
35.

Answer: ______/ 36.

Answer: ______/ 37.

Answer: ______
Logan buys $200 worth of groceries with his credit card. The balance then grows by 2% interest each month.
38. Write an exponential equation to show the balance y, on Logan’s credit card given number
of months, x.
39. What will the balance be on Logan’s credit card in 7 months?
For each table, find the value of the constants A and r such that y = A(1 + r) or y = A(1 – r).
Then use your equation to complete the table.
40.
x / y
0 / 200
1 / 280
2 / 392
3 / 548.8
4 / 768.32
5 / 1075.648
6
Equation: ______/ 41.
x / y
-2
-1
0 / 850
1 / 722.5
2 / 614.125
3 / 522.00625
4
Equation: ______
The exponential equation y = 5000(1 + 0.05) models the amount of money in Sabine’s savings account that earns annual interest.
42. Is Sabine’s balance increasing or decreasing?
43. Explain the real-world meaning of 5000:
44. Explain the real-world meaning of 0.05:
45. What will Sabine’s balance be after 10 years?
A swing is pulled back 80 centimeters horizontally from its resting position and then released. The maximum distance of the swing from the resting position is recorded after each minute for 5 minutes.
Time elapsed (min), x / 0 / 1 / 2 / 3 / 4 / 5
Maximum distance from resting position (cm), y / 80 / 66.4 / 55.1 / 45.7 / 38 / 31.5
46. Write an equation that models the maximum distance of the swing after each minute.
47. What is the maximum distance from the resting position after 9 minutes?
48. After how many minutes will the maximum distance from the resting position be less than 10 centimeters?