1. Math Jeopardy! 10 20 30 40 50 Order of Operations
Evaluating Algebraic Expressions
Solving Equations
Complex Fractions
Simplifying Rational Expressions 10 20 30 40 50

2. using Order of Operations.
Simplify
2*(4+3) - 6/3
using Order of Operations.

3. 2*(4+3)-6/3=12

4. using Order of Operations.
Simplify
8/4*2+1
using Order of Operations.

5. 8/4*2+1=5

6. Explain the Order of Operations.

7. Rules that describe the order that addition, subtraction, multiplication, and division must be performed.
Order of Operations:
Perform operations in parentheses
Evaluate Powers
Multiply and divide in order from left to right
Add and subtract in order from left to right

8. using Order of Operations
Simplify
20(2+6)-10(32/4)
using Order of Operations

9. 20(2+6)-10(32/4)=20(8)-10(8)
=160-80
= 80

10. Use your calculator to evaluate 72(60/5)2-3
Explain how you used Order of Operations while using your calculator.

11. 72(60/5)2-3=10365

12. Evaluate
8x-3
when x=1/2.

13. 8(1/2)-3=4-3 =1

14. Evaluate
4x-1*2
when x=2 and when x=3.

15. 4(2)-2=8-2 =6
4(3)-2=12-10 =2

16. Evaluate
4(9/x)/x
for x=12.

17. 4(9/12)/12=4(3/4)/12
=3/12
=1/4

18. The dimensions of a rectangle are given below
The dimensions of a rectangle are given below. If the x=3 what is the perimeter of the rectangle. x
x+2

19. Perimeter= x+x+(x+2)+(x+2)
=2(3)+2(5)
=6+10
=16

20. Kate just bought a cell phone plan that will cost $10 each month plus $0.10 for every minute she uses the phone. In October, she used 45 minutes. How much should she expect to pay when she gets the bill for October? (Write an equation for the cost, in dollars, when she uses x number of minutes)

21. y=0.10x+10
When x=45
y=14.5

22. Solve for x.
x-4=14

23. x=18

24. Solve for p.
p-5+54=-1

25. p+49=-1
p=-1-49
=-50

26. Solve for a.
a+a-8=a+4

27. a+a-a=4+8
a=12

28. Mars is about 48 million miles farther away from the Sun than the Earth. Earth is about 93 million miles from the Sun. How far is Mars from the Sun? (Make sure to set up an equation involving x the total distance, in millions of miles, Mars is from the Sun)

29. Mars is 141 million miles from the Sun.
x-48=93
x=93+48
x=141
Mars is 141 million miles from the Sun.

30. Joey is 4 years older than his little brother Tim
Joey is 4 years older than his little brother Tim. If the sum of their age is 30. How is Joey? How old is Tim? What is the equation that tells us this information?

31. x+(x-4)=30
x+x=34
x=17
So Joey is 17 and Timmy is 13.

32. Dividing two fractions is the same as…

33. Multiplying the dividend by the reciprocal of the divisor.

34. In other words what is one third divided by two fourths?
Simplify
(1/3)/(2/4)
In other words what is one third divided by two fourths?

35. (1/3)/(2/4)=(1/3)*(4/2)
=4/6
=2/3

36. In other words, what is 7 divided by two thirds?
Simplify
7/(2/3)
In other words, what is 7 divided by two thirds?

37. 7/(2/3)=7*(3/2)
=21/2

38. In other words, what is five halves divided by 6?
Simplify
(5/2)/6
In other words, what is five halves divided by 6?

39. (5/2)/6=(5/2)*(1/6)
=5/12

40. What is a complex fraction
What is a complex fraction? What are the steps we should take to simplify a complex fraction?

41. A complex fraction is a fraction in which the numerator, the denominator, or both are fractions.

42. Simplify
(6/m)-(3/2m)

43. (6/m)-(3/2m)
=(12/2m)-(3/2m)
=9/2m

44. What is a rational expression?

45. An algebraic expression that contains terms (e. g
An algebraic expression that contains terms (e.g. x,4,(1/2)x) separated by operations (e.g. +,-,*,/). Rational expressions can be simplified by collecting like terms.

46. Simplify
(3x/6)+(x/4)

47. (3x/6)+(x/4)
=(12x/24)+(6x/24)
=(18x/24)
=3x/4

48. Simplify
(6/4s)*(2/3)

49. (6/4s)*(2/3)
=12/12s
=1/s

50. Stacy drove ¼ of the way to Atlanta in one day
Stacy drove ¼ of the way to Atlanta in one day. The next day she drove 3/5 of the remaining distance. How much farther does she have to drive?

51. This means she has 3/10 of the total distance left to travel.
She has driven
(1/4)+(3/5)(3/4)
=5/20+9/20
=14/20 =7/10
This means she has 3/10 of the total distance left to travel.