Algebra - Solving Equations Jeopardy Template

One-Step Equations

Two-Step Equations

Multi-Step Equations

Variables on Both Sides

Simplifying

100

Solve for b:

-7 = b - 3

b = -4

WORK

-7 = b - 3

-7 +3 = b - 3 +3

-4 = b

100

Solve for x:

2x + 3 = 15

(When you see it written 2x that means the same thing as 2*x)

x = 6

WORK

2x + 3 = 15

2x + 3 - 3 = 15 - 3

2x = 12

(2x)/2 = 12/2

x = 6

100

Solve for m:

5 = 5m - 23 + 2m

m =4

WORK

5 = 5m - 23 + 2m

5 = 5m + 2m - 23

5 = 7m - 23

5 + 23 = 7m - 23 + 23

28 = 7m

28/7 = 7m/7

4 = m

100

Solve for b:

3b - 4 = b + 2

b = 3

WORK

3b - 4 = b + 2

3b - 4 + 4 = b + 2 + 4

3b = b + 6

3b - b = b - b + 6

2b = 6

2b/2 = 6/2

b = 3

100

2x²+3x-2+4x²-5x+6

6x²+-2x+4

200

YOU GET A FREEBIE!

200

Solve for a:

(1/2)a + 5 = 18

a = 26

WORK

(1/2)a + 5 = 18

(1/2)a + 5 - 5 = 18 - 5

(1/2)a = 13

2*(1/2)a = 13*2

a = 26

200

Solve for x:

(x + 4) + 2x = 67

x = 21

WORK

(x + 4) + 2x = 67

x + 2x + 4 = 67 [addition is commutative]

3x + 4 = 67

3x + 4 - 4= 67 - 4

3x = 63

3x/3 = 63/3

x = 21

200

Solve for x:

5x + 2 = 2x + 14

x = 4

WORK

5x + 2 = 2x + 14

5x + 2 - 2 2x + 14- 2

5x = 2x + 12

5x - 2x = 2x - 2x + 12

3x = 12

3x/3 = 12/3

x = 4

200

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

x+18

300

Solve for x:

5x = 20

(When you see it written 5x that means the same thing as 5*x)

x = 4

WORK

5x = 20

5x/5 = 20/5

x = 4

300

Solve for t:

-t + 8 = 3

t = 5

WORK

-t + 8 = 3

-t + 8 - 8= 3 - 8

-t = -5 [which is the same thing as -1t = -5]

-1t/-1=-5/-1

t = 5

300

LOSE A TURN!

300

Solve for p:

1.5p = 1.25p + 8

p = 32

WORK

1.5p = 1.25p + 8

1.5p - 1.25p = 1.25p - 1/25p + 8

0.25p/0.25 = 8/0.25

p = 32

300

Swap scores with any team!

400

Solve for m:

(4/5)*m = 28

m = 35

WORK

(4/5)*m = 28

(5/4)*(4/5)*m = 28*(5/4)

m = 35

400

Solve for x:

(x – 7)/3 = -12

x = -29

WORK

(x – 7)/3 = -12

3*((x – 7)/3)= -12*3

x – 7 = -36

x – 7 + 7= -36 + 7

x = -29

400

Solve for x:

3.5 - 0.02x = 1.24

x = 113

WORK

3.5 - 0.02x = 1.24

100*(3.5 - 0.02x) = 1.24*100

350 - 2x = 124 [Distributive Property]

350 - 350 - 2x = 124 - 350

-2x/(-2) = -226/(-2)

x = 113

400

STEAL HALF OF THE POINTS FROM ANY TEAM!

400

You get 4x+300=600+2x

150

500

Solve for p:

-2.54 = p + 7.17

p = -9.71

WORK

-2.54 = p + 7.17

-2.54- 7.17 = p + 7.17- 7.17

p = -9.71

500

Solve for x:

-24 = -10x + 3

x = 2.7

WORK

-24 = -10x + 3

-24 - 3= -10x + 3 - 3

-27 = -10x

-27/(-10)=-10x/(-10)

2.7 = x

500

Solve for x:

3x/4 - x/3 = 10

[remember what fractions really look like?]

x = 24

WORK

3x/4 - x/3 = 10

9x/12 - 4x/12 = 10 [write fractions/common denominator]

5x/12 = 10

12*(5x/12) = 10*12

5x/5 = 120/5

x = 24

500

Solve for x:

9m - 4 = -3m + 5 + 12m

NO SOLUTION
-4 = 5

WORK
9m - 4 = -3m + 5 + 12m
9m - 4 = -3m + 12m + 5
9m -9m - 4 = 9m -9m + 5
-4 = 5 <~~~NO! So, No Solution!

500

4(2x-5)+6(x-3)+5x

19x-28