1. Last
Mathematician
Standing
Q3 Midterm Review

2. Directions Stand up next to your partner
Do problem on white board (trade board w/partner each question)
If you get problem wrong, sit down.
If everyone standing gets problem wrong, everyone who is sitting with right answer gets to stand back up.
Last group(s) standing are the winners!

3. Simplify: 𝑥 2 𝑦 𝑥 −5 −3 1.

4. Simplify: 𝑥 2 𝑦 𝑥 −5 −3 1.

5. Find the product in scientific notation: 3.2× 10 4 )(4.7× 10 −32.
Find the product in scientific notation: 3.2× 10 4 )(4.7× 10 −3

6. Find the product in scientific notation: 3.2× 10 4 )(4.7× 10 −32.
Find the product in scientific notation: 3.2× 10 4 )(4.7× 10 −3

7. 3.
You deposit $200 in an account that pays 5.4% interest. How much interest have you accrued after 4 years?

8. 3.
You deposit $200 in an account that pays 5.4% interest. How much interest have you accrued after 4 years?

9. 4.
Simplify:

10. 4.
Simplify:

11. Name the polynomial by degree and number of terms: 25 𝑥 2 𝑦5.
Name the polynomial by degree and number of terms: 25 𝑥 2 𝑦

12. Name the polynomial by degree and number of terms: 25 𝑥 2 𝑦5.
Name the polynomial by degree and number of terms: 25 𝑥 2 𝑦

13. Simplify: 5 𝑥 2 +3 𝑥 3 +4𝑥)−( 𝑥 3 −𝑥+56.
Simplify: 5 𝑥 2 +3 𝑥 3 +4𝑥)−( 𝑥 3 −𝑥+5

14. Simplify: 5 𝑥 2 +3 𝑥 3 +4𝑥)−( 𝑥 3 −𝑥+56.
Simplify: 5 𝑥 2 +3 𝑥 3 +4𝑥)−( 𝑥 3 −𝑥+5

15. Expand the polynomial (Multiply): 2 𝑥 3 −1 27.
Expand the polynomial (Multiply): 2 𝑥 3 −1 2

16. Expand the polynomial (Multiply): 2 𝑥 3 −1 27.
Expand the polynomial (Multiply): 2 𝑥 3 −1 2

17. Factor the polynomial: 3 𝑥 3 +7 𝑥 2 +4𝑥8.
Factor the polynomial: 3 𝑥 3 +7 𝑥 2 +4𝑥

18. Factor the polynomial: 3 𝑥 3 +7 𝑥 2 +4𝑥8.
Factor the polynomial: 3 𝑥 3 +7 𝑥 2 +4𝑥

19. 9.
Solve for x: −81 𝑥 2 +4=0

20. 9.
Solve for x: −81 𝑥 2 +4=0

21. 10.
A rectangle’s width is 1 foot larger than 4 times the height. If the area of the rectangle is 3 square feet, find the dimensions of the rectangle.

22. 10.
A rectangle’s width is 1 foot larger than 4 times the height. If the area of the rectangle is 3 square feet, find the dimensions of the rectangle.

23. Simplify. Leave no negative exponents. −2 𝑎 2 𝑏 −3 4 ( 𝑎 3 𝑏 5
11.
Simplify. Leave no negative exponents. −2 𝑎 2 𝑏 −3 4 ( 𝑎 3 𝑏 5

24. Simplify. Leave no negative exponents. −2 𝑎 2 𝑏 −3 4 ( 𝑎 3 𝑏 5
11.
Simplify. Leave no negative exponents. −2 𝑎 2 𝑏 −3 4 ( 𝑎 3 𝑏 5

25. 12.
Two points on an exponential graph are (0,3) and (2,27). Find the equation of the exponential function that contains both points.

26. 12.
Two points on an exponential graph are (0,3) and (2,27). Find the equation of the exponential function that contains both points.

27. Write 0.23456 in scientific notation.
13.

28. Write 0.23456 in scientific notation.
13.

29. 14.
You purchased an iPad for $400, but the value is depreciated by 10% every 6 months. Find the value of your iPad after 3 years.

30. 14.
You purchased an iPad for $400, but the value is depreciated by 10% every 6 months. Find the value of your iPad after 3 years.

31. Expand the polynomial (Multiply). 2𝑥−1)( 𝑥 3 +4+5𝑥
15.
Expand the polynomial (Multiply). 2𝑥−1)( 𝑥 𝑥

32. Expand the polynomial (Multiply). 2𝑥−1)( 𝑥 3 +4+5𝑥
15.
Expand the polynomial (Multiply). 2𝑥−1)( 𝑥 𝑥