Solving Linear Equations

One step

100

x-2= -3

-1

200

-6r=-42

r=7

300

5  =  x/(-10)

x=-50

400

(3/2)a = -15

a = -10

500

r + (-1/2) = -15/30

r = 0

Multistep

100

4p - 7 = 5

p = 3

200

6 = 4v +2

v = 1

300

(c/-4) -8 = -42

c = 136

400

(y/2) - 46 = - 45

y = 2

500

(4d + 5)/7 = 2

 9/4  or 2.25

Variables on both sides

100

4x + 6x + 12x = 88

x = 4

200

n - 2 = 4 - 2n

n = 2

300

3 - 4q = 10q +10

q = -0.5

400

-5t - 9 = 3t +7

t = -2

500

4(f -2) = 4f

no solution

Stuff from earlier years

100

What is 3/2 - 7/14 ? 

1

200

Write the expression for this sentence:
seven less than the quotient of a number and 6. 

n/6 - 7

300

Distribute: 

-2(2x - 2 )

-4x + 4

400

Distribute: 2(8x -12) 

16x - 24

500

Simplify: 2(3x+4) - (-3/5)(5x -15) 

6x + 8 + (3/5)(5x - 15)

6x +8 + 3x - 9

9x - 1 

Miscellaneous

100

What is the correct way to put your laptop back?

Go you!

200

DAILY DOUBLE!!! Worth 400 points

What would be the 10th number in this pattern?

1,  1,  2,  3,  5,  8,  13,  21

45

300

(1/2)(2/3) + 6(1/9)

1

400

Stephen was looking at a photo. Someone asked him, "Whose picture are you looking at?" He replied: "I don't have a brother, but this man's father is my father's son." So, whose picture was Stephen looking at?

Stephen's son. 

500

A dealer bought an article for $7, sold it for $8, bought it back for $9, and sold it for $10. How much profit did he make?

$2