Solving Equations

One Step Equations

100

31 = x + 40

x = -9

200

29x = -870

x = -30

300

22 = x/25

x = 550

400

29 - x = 27

x = 2

500

71 = 36 - x

x = -35

Two-Step Equations

100

4x + 15 = 171

x = 39

200

-6x-2=-158

x = -158

300

-157 = -5x + 3

x = 32

400

4 = 10 + x/2

x = -12

500

1 = (x-2)/15

x = 17

Word Problems

100

YOU MUST WRITE AND SOLVE THE EQUATION

Asanji had some candy to give to his five children.  He first took six pieces for himself and then evenly divided the rest among his children.  Each child received three pieces.  With how many pieces did he start?

21 pieces

200

YOU MUST WRITE AND SOLVE THE EQUATION

Shawna spent $40 on a magazine and some notepads.  If the magazine cost $5 and each notepad cost $5, then how many notepads did she buy?

5x + 5 = 40

7 notepads

300

YOU MUST WRITE AND SOLVE THE EQUATION

Molly sold half of her comic books and then bought nineteen more.  She now has 48.  With how many did she begin?

1/2x + 19 = 48

58 comic books

400

YOU MUST WRITE AND SOLVE THE EQUATION

A wise man once said, "400 reduced by twice my age is 298."  What is his age?

400 - 2x = 298

51 years old

500

YOU MUST WRITE AND SOLVE THE EQUATION

The Cooking Club made some pies to sell during lunch to raise money for a banquet.  The cafeteria contributed 2 pies to the club.  Each pie was then cut into six pieces and sold.  There were a total of 72 pieces to sell.  How many pies did the club make?

6(x+2)=72

10 pies

Distributing

100

360 = 20( x+7 )

x = 11

200

-245 = -(5 - 12x)

x = -20

300

14(4 - 12x) = -2296

x = 14

400

-209 = -11(1-x)

x = -18

500

-2971 = -17x - 16(9+15x)

x = 11

Collecting Like Terms

100

1 - 17x + 12x = 51

x = -10

200

-15 - 19x - 12x = -46

x = 1

300

0 = -19x + 7x

x = 0

400

5 = 13x + 5 - 13x

All real numbers

500

2 = 4x - 4x

No Solution