Multi step equations

What rule/property?

100

We use this rule to undo subtraction

The addition rule of equality

200

we use this rule to undo addition

the subtraction rule of equality

300

we use this rule to undo multiplication

the division rule of equality

400

we use this rule to undo division

the multiplication rule of equality

500

what property is being used in this equation and why?

4(x - 2)

distributive property, because we can figure out what x minus 2 is we have to multiply both parts by 4 to be able to continue to solve for x.

Distribute it

100

2(3 + 5)

6 + 10

200

3(2x + 3)

6X + 9

300

-4(5 + 2x)

-20 - 8x

400

7(5x - 7)

35x - 49

500

-8(-3 - 4x)

24 + 32x

Undo it

100

+ 12

-12

200

x - 32

+ 32

300

13x

divide by 13

400

see the board for this equation

multiply by 4

500

see the board for this equation

flip the fraction and then multiply

1st step

100

5x - 12 = 24

add 12 on both sides

200

4x + 17 = 20

subtract 17 on both sides

300

12x - 4x + 14 = 23

combine like terms

400

17x = 45

divide by 17 on both sides

500

see board for this equation

multiply both sides by 3

Solve this equation

100

x - 32 = 90

x = 122

200

x - 70 = 20

x = 90

300

12x = 96

x = 8

400

13x + 32 = 245

x = 16.38

500

see board for this equation

x = 81