Level 1 Solving Multi-Step Equations

What makes this true?

100

4x = 4

x = 1

200

-3 + x = 7

x = 10

300

-15 = -4x + 5

x = 5

400

-9x - 13 = -103

x = 10

500

-10 = 10(x - 9)

x = 8

An x on both sides

100

x + 4 = 3x 

x = 2

200

x = 5x - 16

x = 4

300

-2x = x - 7 - 8

x = 5

400

-16 + 3x = -8 - 5x

x = 1

500

4x - 1 = 6x + 8 -8x +15

x = 4

Oops, all letters

100

Solve for x

g = wx

x = g/w

200

Solve for x

z = m + x

x = z + m

300

Solve for x

u = x - k

x = u + k

400

Solve for x

a = b - x

x = -a + b

500

Solve for x

g = cx - b

x = (g + b)/c

The first step is...

100

9x - 7 = -6

add seven to both sides

200

8 = 10 - 7x

subtract ten to both sides

300

-4 = x/20 - 5

add five to both sides

400

2(x + 5) = 10

divide both sides by 2 

or

multiply 2 to everything inside the parenthesis

500

-1 = (5+x) / 6

multiply 6 to both sides

or

divide everything in the parenthesis by 6

Hot Dogs

100

The amount of money I went home with when I earn $2 per hot dot and I sold 9 hot dogs. 

$18

200

The amount of hot dogs I sold when I earn $4 per hot dog and the amount of money I went home with was $64.  

16 hot dogs

300

The amount of hot dogs I sold when I earned $3 per hot dog, paid a $20 vendor fee, and went home with $4.

8 hot dogs

400

The amount of money I went home with when I lost $5 per hot dog, was given $74 to be there, and sold 24 hot dogs.

$46

500

The amount of hot dogs I sold when I earned $4 per hot dog, paid $55 for the table, and went home with $25. 

20 hot dogs