Download Solving Two Step Equations

January 11, 2016
Solving Two Step
Equations
January 11, 2016
Vocabulary
Expression:
a mathematical phrase made up of
variables and/or numbers and
operations
Simplify:
to express in simplest terms
Evaluate:
to determine worth or value (plug it
in, plug it in -- Glade)
Solve:
looking for a missing value in a
problem when the final answer is
known
Equation:
a mathematical statement that two
expressions are equal (must have =)
January 11, 2016
Decide whether each is an expression or equation. Drag
the choices to each question.
1. 3x + 5 Expression
5. x - 5 - 8x = 2 Equation
2. 2x + 8 = 10 Equation
6. 3x + 7 + 5x Expression
3. 4x - 7 Expression
7. 5(2x - 8) = 60
4. 5x + 5 = 7x + 9
8. 4( x-3)
Equation
Expression
Equation
Equation
Expression
January 11, 2016
When solving an equation, remember:
• Isolate the variable
• Use inverse operations
• What you do to one side, make sure that you do to the
other (You must keep the scale balanced!!!)
January 11, 2016
Undo the addition and subtraction first.
Then undo the multiplication and division.
Pull
The Sock and Shoe Method
January 11, 2016
January 11, 2016
Example 1
Solve. Don't forget to show all of your work.
2w + 3 = 9
-3 -3
2w = 6
2 2
w=3
Subtraction Property of Equality
Division Property of Equality
January 11, 2016
Example 2
Solve. Don't forget to show all of your work.
3p - 10 = 8
+10 +10
Addition Property of Equality
3p = 18
3
3
w=6
Division Property of Equality
January 11, 2016
Example 3
Solve. Don't forget to show all of your work.
d/4 - 9 = 3
+9 +9
Addition Property of Equality
d/4 = 12
x4
x4
w = 48
Multiplication Property of Equality
January 11, 2016
January 11, 2016
Example 4
Solve. Don't forget to show all of your work.
3/4c - 7 = -1
+7 +7
Addition Property of Equality
3/4c = 6
x4
x4
Multiplication Property of Equality
3c = 24
3
3
c=8
Division Property of Equality
January 11, 2016
Solve the following equations. Be sure to show all work.
1. 2x + 7 = 21
2. 6x - 12 = 12
3. x/4 + 2 = 10
4. x/3 - 5 = 8
January 11, 2016
Solve the following equations. Be sure to show all work.
Answers
1. 2x + 7 = 21
-7 -7
2x
= 14
2
2
x=7
2. 6x - 12 = 12
+12 +12
6x
= 24
6
6
x=4
3. x/4 + 2 = 10
-2 -2
x/4
=8
*4
*4
x = 32
4. x/3 - 5 = 8
+5 +5
x/3
= 13
*3
*3
x = 39
January 11, 2016
January 11, 2016
January 11, 2016
6 - 2b = 18
5 - 3h = 26
-3 - 5n = 17
January 11, 2016