WARM-UP 1. + 3 = 7 2. - 5 = 8 3. 4 = 284. ÷ 3 = 5 5. 3 + 4 = 22 413 7 15 6.
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WARM-UP1. + 3 = 7
2. - 5 = 8
3. 4 • = 28
4. ÷ 3 = 5
5. 3 • + 4 = 22
4 13
7 15
6
OBJECTIVECONTENT:
IWBAT solve two-step equations.
OBJECTIVELANGUAGE:
IWBAT show the steps to solve a two-step equation, identify orally the coefficient, variable, constant, and solution.
Algebraic Expressions
• Number 8 -7 ½• Variable
x a t
Algebraic Expressions
• String of both with operations connecting them.
Algebraic Expressions
x + 5
7 – y
5x
x
4a – 2
3x + 7bh 3x2 –
5x3a2 – 5a + 7
7
Algebraic Expressions
5x+ 3Variable Term Constant
Variable Term
5x
Coefficient Variable
Expression Variable Term Constant Coefficient Variable
5x + 7 5x 7 5 x
2a – 6 2a -6 2 a
-7b + 1 -7b 1 -7 b
8 + 9s 9s 8 9 s
4t 4t 0 4 t
n – 8 n -8 1 n
-½ x – 2 -½ x -2 -½ x
Algebraic Equation
• Two expressions set equal (=) to each other.
Algebraic Equations
x + 5 = 2
7 – y = 1
5x = 25
x
17 = 4a – 2
5 = 3x + 7A = bh – 5x =
23x + 2 = 5x - 4
7 = 10
Algebraic Equation
• Equations have an equal sign!!
=
Two – Step Equations
5x + 3 = 38
Variable Term?5x
Two – Step Equations
5x + 3 = 38
Constant?3
Two – Step Equations
5x + 3 = 38
Solution?38
Two – Step Equations
5x + 3 = 38
• Solving a two-step equation
Two – Step Equations
5x + 3 = 38
• Step 1: Draw a line through the equal sign
LEFT RIGHT
Two – Step Equations
5x + 3 = 38
• Step 2: Identify the variable term
Two – Step Equations
5x + 3 = 38
• Step 3: Opposite of constant under constant and solution
- 3 - 3
Two – Step Equations5x + 3 = 38
- 3 - 35x
=35
Two – Step Equations• Step 4: Divide the Coefficient
Two – Step Equations5x + 3 = 38
- 3 - 35x
=355 5
x = 7
Solve4c – 5 = 19
+ 5
+ 54c =24
4 4c = 6
Solve8 + 3y = -1- 8 -8
3y
= -93 3y = -3
Solve7 – 2a = 15- 7 -7
-2a= 8-2 -2a = -4
Solve-21 = 3a – 6
+ 6
+ 6-15=3a
33-5= a
Solve17 = -11 + 4p
+ 11
+ 1128= 4p
447 =p
Solve7w = 63
7 7w= 9
Solvey – 9 = -15
+ 9
+ 9y = -6
Solve-22 = -8 – s
+ 8+ 8-14= -s
-1-114
= s
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