Math 1 Sem. 2 Practice Final

Solve: 

7(𝑥 + 7) = 9(𝑥 + 1)

• x = 29

• x = 2/7

• x = 3

• x = 20

Solve: 

3/4𝑥 − 2 = 1/4

• x = 3

• x = -3

• x = 1

3. A rental car costs a one-time fee of $150 and then an additional $60

   for each day it is rented.  If the Nawa family’s total bill was $450,

4. How many days did they rent the car?

7. Hint: Think y = mx + b 

• 8

• 5

• 4

• 3

Solve for x: 

−6𝑥 + 9 = −3(2𝑥 + 3)

• x = -3

• x = 3

• No

  Solution

• Infinitely

  Many

  Solutions

• x = 5

• x = - 5

• x = -2

• x = 2

• x = -12

  and

  x = 18

• x = 12

  and

  x = -18

• x = -18

  and

  x = 12

• x =12

  and

  x = 18

Which function models the sequence 

3, 10, 17, 24...

Hint: find the pattern from left to right

Also: term 0 is not listed (it comes before the 3)

• t(n) = 10n - 3

• t(n) = 4n + 4

• t(n) = 7n - 4

• t(n) = 7n + 3

8. A recursive equation for a sequence is shown: 

9. 𝑡(1) = 12

10. 𝑡(𝑛 + 1) = 𝑡(𝑛) − 5

11. What is the 4𝑡ℎ term of this sequence?

13. Hint: It tells you that term one is 12

14. and that you should subtract 5 to find term 2

• 27

• - 17

• • - 13

• • - 3

The first 5 terms of a sequence are shown below: 

6, 18, 54, 162, 486,...

 

Which recursive equation models this sequence?

• 𝑡(1)=2

  𝑡(𝑛+1)=𝑡(𝑛)+6

• 𝑡(1)=6,

  𝑡(𝑛+1)=𝑡(𝑛)∙3

• 𝑡(1)=6

  𝑡(𝑛+1)=𝑡(𝑛)+6

   

• 𝑡(1)=2

  𝑡(𝑛+1)=𝑡(𝑛)∙3t

What is the explicit formula for the sequence below: 

20, 80, 320, 1280,…