Algebra Adventure Directions. Format: Individual or Pairs (works best)

Transcription

1 Algebra Adventure Directions Format: Individual or Pairs (works best) Directions: Each student will receive an Algebra Adventure WS that they will keep track of their stations and work. Each pair will start at a station, show their work on their worksheet and choose the correct answer from the 4 possible multiple choice answers. Each answer will tell them which station to go to next. Once the pair has completed all of the stations, they will turn in their worksheets to the teacher for them to be checked. If the order of stations is wrong, they will be directed to the station that they got wrong to correct and finish the correct sequencing of stations. Tips/Teacher directions: This is a very easy activity for the teacher to grade. Just check to see if the stations are in order. You could type up the station sheets or just have blank ones that you fill in by hand. When designing the station sheets, write down the problem and only the correct answer and which station they will follow to. Continue this process until all the stations have been used and the last should direct to the first station sheet. From there, just fill in the other wrong answers and various stations. The students should figure it out if they did something wrong simply if they repeat a station. You could have all the stations typed out and laminated to use for subsequent years.

2 Chapter 8 Algebra Adventure Name Date Algebra Adventure Station Number Please be sure to show your work as well as the stations you visited in the order that you visited them. WORK

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4 1 Simplify the expression: A) Go to Station #5 B) 5 30 Go to Station #20 C) Go to Station #13 D) 5 10 Go to Station #7

5 2 Simplify the expression: A) g h 6 5 gh gh Go to Station #1 B) h g 5 6 Go to Station #11 C) h h 6 5 Go to Station #8 D) 6 5 gh Go to Station #2

6 Simplify the following: 5g h g h A) g h Go to Station #2 B) g h Go to Station #9 C) g h Go to Station #11 D) g h Go to Station #12

7 4 Simplify the following: A) 1 3 j 1 3 j 2 Go to Station #17 B) j Go to Station #13 C) j Go to Station #15 D) 2 3 j Go to Station #5

8 5 2 7 Simplify the following: t A) 9 t Go to Station #12 B) 14 t Go to Station #18 C) 128 t Go to Station #3 D) 14 2t Go to Station #1

9 6 Simplify the following: g g g A) 11 Go to Station #16 B) g Go to Station #19 C) 1 g Go to Station #9 D) 11 g Go to Station #7

10 7 Simplify the following: 4b 9 2b 2 A) 6b 7 Go to Station #8 B) 6b -18 Go to Station #12 C) 8b 7 Go to Station #17 D) 8b -18 Go to Station #2

11 8 Simplify the following: 5c 4 b -4 A) 5cb -16 Go to Station #3 B) 4 c 5b 4 Go to Station #9 C) 5c b 4 4 Go to Station #16 D) 5c -4 b 4 Go to Station #6

12 9 Simplify the following: (-8.1) 0 A) -1 Go to Station #15 B) 0 Go to Station #5 C) 1 Go to Station #20 D) -8.1 Go to Station #11

13 10 An initial population of 430 quail increases at an annual rate of 8%. Write an exponential function to model the quail population. A) f(x) = ( ) x Go to Station #12 B) f(x) = 430(0.08) x Go to Station #18 C) f(x) = 430(8) x Go to Station #6 D) f(x) = 430(1.08) x Go to Station #4

14 11 Complete the equation by supplying the missing exponent. m x n m m n A) 4 Go to Station #16 B) -3 Go to Station #11 C) -8 Go to Station #8 D) 8 Go to Station #5

15 12 Write 9.23 x 10-3 in standard notation. A) Go to Station #13 B) Go to Station #2 C) Go to Station #12 D) Go to Station #15

16 13 Write 25,200,000,000 in scientific notation. A) 25.2 x Go to Station #4 B) x Go to Station #8 C) 2.52 x 10 Go to Station #12 D) 2.52 x Go to Station #10

17 14 Match the function rule with the graph of the function: y = 2 3 x. A) Go to Station #13 B) Go to Station #9 C) Go to Station #8 D) Go to Station #20

18 15 Suppose you invest $1,900 at an annual interest rate of 4% compounded yearly. How much will you have in the account after 7 year? A) $13, Go to Station #4 B) $2, Go to Station #5 C) $31,129, Go to Station #7 D) $2, Go to Station #1

19 16 Match the table with the function that models the data. x y A) y = x 3 Go to Station #16 B) y = 3x Go to Station #19 C) y = 3 x Go to Station #12 D) y = x - 3 Go to Station #8

20 17 Suppose the population of a town is 7,200 and is growing 3% each year. Predict the population after 8 years. A) about 172,800 people Go to Station #3 B) about 16,341people Go to Station #8 C) about 47,239,200 people Go to Station #13 D) about 9,121 people Go to Station #6

21 18 Identify the initial amount, a, in the exponential function. g(x) = x A) x Go to Station #20 B) 10 Go to Station #14 C) 9.1 Go to Station #2 D) 1 Go to Station #1

22 19 A boat costs $14,700 and decreases in value by 5% per year. How much will the boat be worth after 12 years? A) $14,640 Go to Station #7 B) $7, Go to Station #3 C) $26, Go to Station #9 D) $7, Go to Station #12

23 20 Evaluate y = 6 2 x for x = 5. A) 192 Go to Station #19 B) 60 Go to Station #6 C) 384 Go to Station #5 D) 191 Go to Station #17