Jeopardy Template

Equations

100

3x+57=78

X=?

7•3=21 21+57=78

200

7x+2=4x-9

X=?

7x+2=4x-9

7x-4x/4x-4x.                   X=-2.3

3x+2=-9

      2   2

 3x/3   -7/3

300

-r+2+4r=8-3r

r=?

                  -r+2+4r=8-3r

2+3r=8-3r

    3r      3r

2+6r=8                    r=1

2        2

  6r/6   6/6           

400

5(x+6)+11=25-3x

X=?

(Combining like terms)

5x+41=25-3x

3x             3x

8x+41=25

      41   41                 X=-2

  8x/8   -16/8

Volume

100

Volume of a cylinder with a height of 6.5in and a radious of 2in. Live your answers in form of pie.

Formula:V=3.14r²h

Formula:3.14r²h

V=2²•6.5

V=26pie in³

200

What is the volume of a sphere that has 7 meters as the radious? Round your answer to the nearest hundredth. 

Formula:V=3/4•3.14r³

Formula:V=3/4•3.14r³

^{V=3/4•3.14•7}

V=1436.76m³

300

The radious of a cone is 3 inches and the height is 1.5. inches. What is the volume of the cone rounded to the nearest hundredth?

Formula: V=1/3•3.14r²h

Formula:V=1/3•3.14r²h

V=1/3•3.14•3^2•1.5

V=13.99 inches

400

James wanted to plant flowers in his new planter. He wondered how much potting soil he should buy to fill it. The height of the cylindrical planter is 100cm. The diameter is 40cm. What is the planter’s volume. Round your answer to the nearst tenth. 

Fomula:V=3.14r^2h

V=3.14•20²•100              R=20cm

V=125663.7cm²                    D=40cm

500

A cylinder has a diameter of 14cm and a volume of a 112pie cubic cm. What is the height in cm of the cylinder? Round your answer to the nearest hundredth. 

V=112pie                  D=14    R=7

112•3.14  3.14•7²•h/3.14   49

112•3.14  3.14•49•h/3.14   112

112/49=2.28

Answer:2.29cm

Input/Output/Linear

100

Diego is graphing the fallowing numbers on the graph. Based on an experiment that he had in science. Is the graph linear or not. If it is explain why.

(1,3)(2,1)(3,-1)(4,2)(5,0)(6,6)

The graph is not linear. If you take a look at the numbers there is a negative number in there. I can just infer that the graph is not linear by looking at the negative number.

200

Graph the fallowing numbers on a graph and observe what is happening.

X:-1,0,1,-3,3,

Y: 0,2,4,-4,8,

The graph is linear but is not proportional because it doesn’t cross through the point of origin. 

300

Determine what the equation is. What is the x intercept, y intercept, and m. What does m represent?

Equation:y=2x+0.67

X-intercept= -3,0

Y-intercept= 0,2

m=0.67

m represents the unit rate.

400

Antonella has a graph. The graph is in the shape of quadrilateral. Create a word problem to describe the graph. 

Alex wakes up in the morning. He jugs for a couple of minutes. Turns right and continues to jug. He turns right again and continues to jug. Until he gets home. 

500

Bianca’s savings 

# of days: 5, 8, 12, 20,                     Total amount of money in the bank: 17, 26, 38, 62

Adam’s savings 

# of Days: 0, 1, 2, 3,                                Total amount of met in my he bank: 3, 6, 9, 11, 

Who was the greates slope?

Bianca: y=0.33x+16.67

Adam: y=0.33x+2.67

Bianca has a greater slope.

Integers

100

-5+6=?

1

200

89-(-17)=?

89+17=106

300

0.76³•-0.76⁵=?

0.76⁸

400

(-9+2)+(4+(-17)=?

-9+2=-7

4+(-17)=-13

-7+(-13)=20

500

-2(7+8)-11(4-1)=?

-2•7=-14         -11•4=-44

-2•8=-16          -11•1=-11

-14+-16=-30        -44-(-11)=-33

-33-(30)=-3

Type of Equations

100

                 8(5)-2=8(5)-2

What type of equation is this?

 8(5)-2=8(5)-2

40-2=40-2

38=38-infinite solution

200

3-5x=2x+12

X=?

What type of solution is this?

3-5x=2x+12

   2x   2x

X-5=12

   5    5

X=17-One solution

300

2x+5=2x-3

X=?

What type of solution is this?

   2x+5=2x-3

   2x       2x

        5=-3-No solution 

400

10+6x=15+9x-3x=?

What type of solution is this?

              10+6x=15+9x-3x=

10+6x=9x+6x

      6x        6x

       10x=9x-No solution

500

          3(23-2b)+3b=48

              b=?

What type of solution is this?

               3(23-2b)+3b=48

69-6b+3b=48

69-3b=48

    -3b  21

       b=7-One solution