6th Grade Jeopardy!

Word Problems!

100

Kendle traces a rectangle that is x feet wide, and (x+2) feet long. Jeffrey traces a rectangle that is 3 feet wide, and (x+2) feet long. If their rectangles have the same area, what is the value of x?

x=2, cannot be negative value in this situation.

200

Joshua has 10x+4 chocolate bars with him. Jeffery stole 12 of the candy bars. If Joshua has half of his candy bars remaining, what is the value of x?

x=2

300

Kendle is playing his favorite game, Pokemon Platinum. Today, he has played 3x+6 hours. His mom tells him that he has played exactly half of yesterdays total time played, and that he played 14x+4 hours yesterday. How long did Kendle play today?

x=1, so he played for 9 hours.

400

Sam is designing a website. In order for it to be perfect, he decides that it must have an area of 36. The length of the website is (x + 9) and the width of the website is x. Solve for x

x = 3

500

Sam is designing a website. He decides that to make it perfect, it must have an area of 32 inches squared, while having a perimeter of 24 inches. What is the length of the webpage, and the height of the webpage?

4in and 8 inches, or 8in and 4 inches

Solving for X!

100

5(5x+10)=150-50x

x=4/3

200

2(3x-1)=4(x+2)

x=5

300

0.25(8+2x)=1.25(10+x)

x=-14

400

(x+1)(x-5)=x+1

x=6, x=-1

500

(x+2)*(x-2)=0

x=2, x=-2

systems of equations

100

x+3y=51

x+2y=17

y=34, x=-51

200

2x+2y=16

4x+2y=20

x=2, y=6

300

(x+y)²=100

x²+2xy+2y²=136

x=4, y=6

400

x-7y=-11

5x+2y=-18

x=-4, y=1

500

6x-5y=8

-12x+2y=0

x=-1/3, y=-2

complex arithmetic

100

(1/3)*(1/9)*(27/4)*4/5+4/5

1

200

2*4²+5²/(26-1)

33

300

(6+4)²+(9/3 -1)

102

400

2⁴-5(10-16/2)+3

9

500

4(5+2)+3²*(1+4/2)²

109

Toss-ups!

100

Jeffrey and his friend Ady decide to make a website, similar to Sam. They get 1 visit the first day, then two the second day, then three the third day, and so on until they get 11 visits the eleventh day. What is the total number of visits they got on their website from the first day to the 11th day?

66 visits

200

2x(x+2)=x(2x+6)+10

x=-5

300

9-5/(8-3)  *2+6

13

400

-4x-2y=-12

2x+4y=-12

x=-6, y=-6

500

2*4+2/2 *3/6 +4²

24.5