Solving Equations Jeopardy Review

One Step

100

Solve for x: 25 + x = 100 

x = 75

200

-8x = -64

x = -8

300

-4x = 2/5

x = - 1/10 or  x = - 0.1

400

(2/3)x = - 25

x = - 37.5 or - 37 1/2

500

-5 + w = -3/4 

w = 4.25 or w = 4 1/4 

Two Step

100

8 = 5j - 17 

j = 5

200

(m/-2) + 7 = 21

m= -28

300

49 = 5y - 26

y = 15

400

287 = 78.2 + 0.5x

x = 417.6

500

(5/2)t+ 1/4 = 3/5

t = 7/50 

Multi-step

100

3b - 5 - 2b = 5

b = 10 

200

3(x -4) = 15

x = 9

300

5n + 4 - 8n = -5

What is n = 3?

400

3s + 3(s-10) = 36

s = 11

500

4(y-2) + y= -13

 y= -1

Writing equation

100

Write an equation represents the following:

"Five more than twice a number is equal to 17"

2x + 5 = 17 

200

Write an equation represents the following:

"Five less than three times a number is forty-six."

3x - 5 = 46

300

Write an equation represents the following:

"The sum of seven and three times a number is 10."

7 + 3x = 10

400

Write an equation represents the following:

The product of three and the sum of a number and two is equal to six.

3(x + 2) = 6

500

Write an equation represents the following:

"Eight less than five times a number equals 25."

5x - 8 = 25

Word Problems

100

The Empire State Building is 1250 feet tall. This is 140 feet more than twice the height of the Washington Monument. How tall is the Washington Monument?

140 + 2w = 1250

w = 555 feet tall

200

Lucas was painting a long fence. When he had painted 8 feet less than 3/4 of the fence, he noticed he had painted 85 feet. How long is the fence he is painting? 

(3/4)x - 8 = 85

x = 124 feet 

300

A group of 3 friends each have video games at their home.  Then each friend buys 5 more video games.  Now the three friends have a total of 30 video games.  How many video games did each friend start with?

3(x+5) = 30

x = 5 

400

A  bag of candy was shared equally among 4 friends. Each friend gave away 7 pieces of candy. They each ended up with 8 pieces of candy. How much candy was in the bag at the beginning.

(c/4) - 7 = 8

c = 60 

500

Luis is setting up a new tent during a camping trip. The tent came with 8 feet of rope. He uses 12.5 inches of the rope to tie a tarp on the top of the tent. Then, the remaining rope should be cut into 4 1/2 inch section to tie the tent to stake in the ground. How many 4 1/2 inch sections of rope Luis can cut from the rope? 

8 ft = 8 x 12 = 96 inches

(4 1/2)x + 12.5 = 96

x = 18.555...