Solving Linear Equations

1.1 (One step)

100

x-2= -3

-1

200

-1/2 = y - 1

y = 1/2

300

5  =  x/(-10)

x=-50

400

1.2m = 0.6

m = 0.5 

500

- 2 = (6/7)p

p = -14/6 

or -7/3 

or -2 1/3 

2.3333333

1.2 Multistep

100

8x - 6x = -35

x = -5

200

1.5x + 15 = 24

x = 6

300

2(1 - 5x) + 4 = -8

x = 1.4

400

-3(x + 2) + 45x = -9

x = -3/42 or -1/14 or 0.071

500

A triangle has angles 3k, 2k, and k for some unknown number "k".

What is the value of k?

k is 30 degrees. 

1.3 Variables on both sides

100

4x + 6x + 12x = 88

x = 4

200

15 - 2x = -7x

x = -3

300

-2(x - 5) = 6(2 - 0.5x) 

x = 2

400

3 - 4x  =  -7 - 4x

There are no x values that would make this equation true. No solution

500

4(x - 3) +  8 = 4x - 4

Infinitely many solutions

Stuff from earlier years

100

What is -4 - (-3) + (-7) ? 

- 8 

200

Write the expression for this sentence:
 3 less than the quotient of 10 and a number.

10/n - 3

300

Distribute: 

-2(10x - 21 )

-20x  + 42

400

Distribute: 0.25(8x -12) 

2x - 3

500

Simplify: 2(3x+4) - (-3/5)(5x -15) 

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