Download 7.2 Solving Multi-Step Equations

Solving Multi-Step Equations
7.2
Useful Steps to Solve a Multi-Step
Equations
1. Distribute (if necessary)
2. Combine like terms (if one same side of
equation)
3. Undo addition or subtraction
4. Undo multiplication or division
2x + 7 + x =16
3x+7 =16
3x =9
X=3
-3(m-6)=4
-3m +18 =4
-3m=-14
M =14/3
3(x+12)-x=8
3x+36 –x =8
2x +36 =8
2x=-28
X=-14
2(x+1) +x=7
2x+2 +x =7
3x +2 =7
3x =5
X= 5/3
Consecutive Numbers
• Counting by ones from any integer
• Examples:
120,121,122,…
-5,-4,-3,…
• Formula:
n, n+1, n+2, n+3, n+4….
Consecutive Even Integers
• Counting by evens from any integer
• Examples:
2,4,6,8,…
122,124,126,128…
• Formula:
n, n+2, n+4, n+6, n+8, n+10
Consecutive Odd Integers
• Counting by odds from any integer
• Examples:
…,-9,-7,-5,-3
83,85,87,89,…
• Formula:
n, n+2, n+4, n+6, n+8, n+10
Find four consecutive integers with a
sum of 358
n + (n+1)+ (n+2)+ (n+3) = 358
4n+6 =358
4n =352
n =88
n+1=89
n+2=90
n+3=91
Answer: 88,89,90,91
Find two consecutive even integers
with a sum of 66.
n + (n+2) =66
2n+2 =66
2n=64
n=32
n+2=34
Answer:32, 34
Homework
• Page 343 (11-29) all