Solve each equation.

1. 3b + 8 = –10 2. –12 = –3x – 9

3. – + 7 = 14 4. –x – 13 = 35c4

–6 1

–28 –48

Math on the Mind

Solving Multi-Step EquationsUnit 4Lesson 3

Modified from the presentation at www.rockwood.k12.mo.us/Marquette/werner/.../chapter%203.ppt

Solve 3a + 6 + a = 90

4a + 6 = 90– 6 – 6

4a = 84

a = 214 4

Combining Like Terms:

Using the Distributive Property To solve algebra equations using the

distributive property, we need to distribute (or multiply) the number to each term in the expression.

http://www.onlinemathlearning.com/equations-distributive-property.html

Solve 3(2x + 5) = 3

                                    

6x + 15 = 3 -15 -15 6x = –126 6 x = –2

http://www.onlinemathlearning.com/equations-distributive-property.html

Examples: 1) 53)12(2 x2)

www.rockwood.k12.mo.us/Marquette/werner/.../chapter%203.ppt

5324 x554 x55

104 x44

5.2x

2(x – 3) = 82x – 6 = 8

+ 6 + 6

2x = 14

x = 7

2

2

Examples: 3) 83724 xx 4) 21)2(34 xx

www.rockwood.k12.mo.us/Marquette/werner/.../chapter%203.ppt

8424 x88

x432 44x8

21634 xx 216 x

66 15x

1124)2(3 xx13463 xx

1367 x6 6

77 x7 7

1x

simplifydistribute

Combine like terms

Lots of steps! Where should you start?? 1124)2(3 xx

More Practice: http://www.regentsprep.org/regents/math/ALGEBRA/AE2/PSolvEq.htm

www.rockwood.k12.mo.us/Marquette/werner/.../chapter%203.ppt