# Concepts 1.1 ```Bell Work
9/16/14
Solve the equation.
1.
4.
3x  7  5
1
2
x  7  9
2.
 6 x  4  8
3.
5.
2  7x  9
6.
x
5
 3  12
 11  13  3 x
Yesterday’s Homework
1. Any questions?
• Make sure the homework is 100% complete.
• Incomplete work will NOT be accepted.
4/10/2015
2 .3A
Solving Multi-Step
Equations (3-Step)
TSWBAT: solve 3-step equations.
Students solve multi-step problems, including
word problems, involving linear equations and
linear inequalities in one variable and provide
justification for each step.
Notes
• Steps for Solving Linear Equations
1. Simplify both sides of the equation.
• Distribute and/or combine like terms.
2. Collect the variables to one side of the equation.
• Collect to the side with the greater variable.
3. Use inverse operations to isolate the variable.
• PEMDAS backwards.
• The Golden Rule (of Mathematics)
What you do to one side,
you must do to the other.
Notes
Solve the equation.
Ex.
2  x  3  24
2 x  6  24
6 6
2 x  18
2
2
x9
Now you try.
Ex.
Distribute first.
4  x  5  8
What operation4 x  20  8
do I do next?
 20  20
What operation
do I do next?
4 x  28
4
4
x7
Notes
Solve the equation.
Ex.
3  x  4   27
 3 x  12   2 7
 12  12
3 x  15
3
3
x 5
Now you try.
Ex.
Distribute first.
2  x  6   18
What operation 2 x  12   1 8
do I do next?
 12  12
What operation
2 x  30
do I do next?
2
2
x  15
Notes
Solve the equation.
Ex.
3 x  4 x  35
7 x  35
7
7
x  5
Ex.
Combine like
20 
terms first.
20 
What operation
do I do next? 5
4 
4x  9x
5 x
5
x
Now you try.
Ex.
Ex.
2 x  6 x  28
4 x  28
4
4
x7
32 
32 
4
8 
2 x  2 x
4 x
4
x
Notes
Now you try.
Solve the equation.
Ex.
Ex.
2 x  3  5 x  9  27
7 x  6  27
6 6
7 x  21
7
7
x 3
 1like
4 terms
4 x  first.
6  7x  2
Combine
What
operation
8
 14
  3 x do
you
 8do next?  8
Whatoperation
6   3 x do
you do next?
3
3
2 x
Summary
To solve a 3-step equation you first have to
combine like terms. After that isolate
distribute and/or ________
the variable term by _______
isolate the variable completely by multiplying or
dividing
________.
Today’s Homework
#1-13 on next slide
&amp; Worksheet 2.3A
Rules for Homework
1. Pencil ONLY.
2. Must show all of your work.
• NO WORK = NO CREDIT
3. Must attempt EVERY problem.
Homework
2.3A
Solve the equation.
1.
2  x  5   16
2.
3  x  2   12
3.
 4  x  3  32
4.
14  2  x  5 
5.
30   6  x  2 
6.
 24  6  x  3
7.
7 x  2 x   25
8.
27  4 x  7 x
9.
 3 x  5 x   40
10.
3 x  5 x  4  20
11.
3 x  2  5 x  10
12.
 12  x  5 x  6
13.
20  3 x  8  7 x
Ticket Out the Door
Complete the Ticket Out the Door without talking!!!!!
Talking = time after the bell!
Put your NAME on the paper.
When finished, turn your paper face DOWN.
Solve the equation.
5  x  2   20
```