DATE
7
PERIOD
Chapter 7 Test, Form 2D
SCORE
Simplify.
1. (3a2b5)(-2ab3)
1.
-6a 3b 8
2. (w3z7)3
2.
w 9z 21
3. 4a4b8 + 2(ab2)4 + 4(a2b4)2
3.
10a 4b 8
Simplify. Assume that no denominator is equal to zero.
4a -3d 2
4. −
2 -5
2a
5. −
2 7 2
5.
3r5t
6. Express 0.00000402 in scientific notation.
6.
4.02 × 10-6
(3r 3t 5) 3
(-3r t )
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
7
4.
8a d
d
−
5
Evaluate each product or quotient. Express the results
in both scientific notation and standard form.
7. (4.6 × 103)(9.12 × 10-7)
4.1952 × 10-3;
7. 0.0041952
1.6 × 10 -3
8. −
-7
8.
2 × 103; 2000
9. ATTENDANCE The total home attendance for a professional
football team in 2010 was about 5.44 × 10 5, and in 2008 was
about 4.32 × 10 5. About how many times as large was the
attendance in 2010 as the attendance in 2008?
9.
1.3
8 × 10
Solve each equation.
10. 125 x - 1 = 5
10.
11. 3 3x + 1 = 81
11.
12. 64
2x + 3
Chapter 7
12.
=2
69
4
−
3
1
17
-−
12
Glencoe Algebra 1
Assessment
NAME
NAME
DATE
7
Chapter 7 Test, Form 2D
PERIOD
(continued)
Simplify.
2
−
13. 1000 3
5
−
14. 4 2
13.
100
14.
32
Write each expression in radical form.
15. 57
1
−
4
√
57
15.
4
3
16. 10x 3
16.
x
10 √
17. A weight lifter can bench-press 145 pounds. She plans
to increase the weight W(x) in pounds that she is
lifting according to the function W(x) = 145(1.05)x, where
x represents the number of training cycles she completes.
How much will she bench-press after 5 training cycles?
17.
about 185 lb
1
−
()
y
(6)
x
y= 1
x
1
18. Graph y = −
. Find the y-intercept and state the
6
domain and range.
x
O
18.
19.
AM-40C-827734-A
about $5030.49
20. CARS A new car valued at $16,500 depreciates at a steady
rate of 12% per year. What is the value of the car in
10 years?
20. about $4595.27
21. Write an equation for the nth term of the geometric sequence
4, 8, 16,… .
21.
an = 4 · 2n - 1
22. a 1 = -4, a n = a n − 1 + 7, n ≥ 2
22.
−4, 3, 10
23. a 1 = 1, a n = 4a n - 1 − 2, n ≥ 2
23.
1, 2, 6
Find the first three terms of each sequence.
Write a recursive formula for each sequence.
a 1 = 27, a n =
a n − 1 − 8, n ≥ 2
24. 27, 19, 11, 3, …
24.
25. 1296, 216, 36, 6, …
25. 6
Bonus Find the first term of the geometric sequence with
a 5 = 625 and a 6 = 3125.
B:
Chapter 7
70
a 1 = 1296, a n =
1
−
a n − 1, n ≥ 2
1
Glencoe Algebra 1
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
19. ART An oil painting originally cost $2500 and increases in
value at a rate of 6% per year. Find the value of the
painting after 12 years.
1; D = all real
numbers, R = {y|y > 0}