Chapter 7 Test, Form 2D, Lecture notes of Algebra

Glencoe Algebra 1. Chapter 7 Test, Form 2D. SCORE ... 7. 5√2. √10 − 3. 8. Describe how the graph of g(x) = 5(2x) is related to the graph of f(x) = 2x.

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NAME _____________________________________________ DATE ____________________________ PERIOD _____________
Chapter 7 79 Glencoe Algebra 1
Chapter 7 Test, Form 2D SCORE ______________
Simplify.
1. (3𝑎2𝑏5)(2a𝑏3)
2. (𝑤3𝑧7)3
3. 4𝑎4𝑏8 + 2(𝑎𝑏2)4 + 4(𝑎2𝑏4)2
Simplify. Assume that no denominator is equal to zero.
4. 4𝑎−3𝑑2
8𝑎2𝑑−5
5. (3𝑟3𝑡5)3
(−3𝑟2𝑡7)2
Simplify each expression.
6. 50𝑥3𝑦2
7. 52
10 − 3
8. Describe how the graph of g(x) = 5(2x) is related to the graph of f(x) = 2x.
9. Fungi A has a growth rate of 3.55% per minute, while Fungi B has a
growth rate of 0.06% per second. Which fungus grows at a faster rate? By
how much?
Solve each equation.
10. 125𝑥 − 1 = 5
11. 33𝑥 + 1 = 81
12. 642𝑥 + 3 = 2
1. ______________________
2. ______________________
3. ______________________
4. ______________________
5. ______________________
6. ______________________
7. ______________________
8. ______________________
9. ______________________
10. _____________________
11. _____________________
12. _____________________
6a3b8
w9z21
10a4b8
𝒅𝟕
𝟐𝒂𝟓
3r5t
5x|y|𝟐𝒙
10𝟓 + 15𝟐
g(x) is stretched
vertically.
Fungi B;
0.11% per minute
𝟒
𝟑
1
𝟏𝟕
𝟏𝟐
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Download Chapter 7 Test, Form 2D and more Lecture notes Algebra in PDF only on Docsity!

NAME _____________________________________________ DATE ____________________________ PERIOD _____________

Chapter 7 79 Glencoe Algebra 1

Chapter 7 Test, Form 2D SCORE ______________

Simplify.

  1. (3𝑎^2 𝑏^5 )(– 2 a 𝑏^3 )

2. (𝑤^3 𝑧^7 )^3

3. 4 𝑎^4 𝑏^8 + 2(𝑎𝑏^2 )^4 + 4(𝑎^2 𝑏^4 )^2

Simplify. Assume that no denominator is equal to zero.

4𝑎−3𝑑^2 8𝑎^2 𝑑−

(3𝑟^3 𝑡^5 ) 3 (−3𝑟^2 𝑡^7 )^2

Simplify each expression.

6. √50𝑥^3 𝑦^2

5√ √10 − 3

  1. Describe how the graph of g ( x ) = 5(2 x ) is related to the graph of f ( x ) = 2 x.
  2. Fungi A has a growth rate of 3.55% per minute, while Fungi B has a growth rate of 0.06% per second. Which fungus grows at a faster rate? By how much?

Solve each equation.

10. 125 𝑥 − 1^ = 5

11. 3 3𝑥 + 1^ = 81

12. 64 2𝑥 + 3^ = 2

1. ______________________

2. ______________________

3. ______________________

4. ______________________

5. ______________________

6. ______________________

7. ______________________

8. ______________________

9. ______________________

10. _____________________

11. _____________________

12. _____________________

- 6 a^3 b^8

w

9

z

21

10 a

4

b

8

𝒅𝟕 𝟐𝒂𝟓

3 r

5

t

5 x | y | √𝟐𝒙

g ( x ) is stretched

vertically.

Fungi B;

0.11% per minute

𝟒 𝟑

𝟏𝟕 𝟏𝟐

NAME _____________________________________________ DATE ____________________________ PERIOD _____________

Chapter 7 80 Glencoe Algebra 1

Chapter 7 Test, Form 2D (continued)

Simplify.

2 3

5 2

Write each expression in radical form.

1 4

1 3

  1. A weight lifter can bench-press 145 pounds. She plans to increase the weight W ( x ) in pounds that she is bench-pressing 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?
  2. Graph y = ( 1 6

𝑥

. Find the y -intercept and state the domain and range.

  1. 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.
  2. 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?
  3. Write an equation for the n th term of the geometric sequence 4, 8, 16, ….

Find the first three terms of each sequence.

  1. 𝑎 1 = – 4, 𝑎𝑛 = 𝑎𝑛 − 1 + 7, n ≥ 2
  2. 𝑎 1 = 1, 𝑎𝑛 = 4𝑎𝑛 − 1 − 2, n ≥ 2

Write a recursive formula for each sequence.

Bonus Find the first term of the geometric sequence with 𝑎 5 = 625 and 𝑎 6 = 3125.

13. _____________________

14. _____________________

15. _____________________

16. _____________________

17. _____________________

18. _____________________

19. _______________________

20. _______________________

21. _______________________

22. _______________________

23. _______________________

24. _______________________

25. _______________________

B. ________________________

𝟒

𝟑

about 185 lb

1; D = all real

numbers, R = { y | y > 0}

about $5030.

about $4595.

an = 4 • 2 n^ –^1

- 4, 3, 10

a 1 = 27, an = an – 1 – 8,

n ≥ 2

a 1 = 1296, an =

𝟏 𝟔

an – 1 ,

n ≥ 2