solve each equation & check your answer. 1) 2)
DESCRIPTION
Warm-up Continued… What is the LCD of the following fractions? 3) 4) 5)TRANSCRIPT
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Warm-up:Solve each equation & check your answer.
1) 2)
34x 5
29
w 3
43
43
x 5143
x 203
623
✔
34203
5
29
29
w 329
✔
29
329
3
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Warm-up Continued…
What is the LCD of the following fractions?3) 4)
5)
18,
12,
34
LCD : 8
15,
14,
310
LCD : 20
116,
18,
332
LCD : 32
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Solving Two-Step Equations:Algebra Tiles,
Friendship Analogy,& MOREInteractive
Algebra
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Creating an Equation & then Undoing It
Creating an Equation: Undoing to Solve:
x 3
2x 6
2x 5 11
2x 5 11(2) (2)5 + + 5 – 5 – 5
2x 62 2
x 3
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Equivalent Equations
Show on the whiteboard.
_______________________________________________________________
Equivalent equations have the same solutions.
x 6All of these
have the SAMESOLUTION:
x = 6
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Two step equations with algebra tiles:• No need to draw or write these. Just demonstrate with algebra
tiles:
Equation:
2x 1 7
Create ZERO pairs
0 =
x 3
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Two step equations with algebra tiles:• No need to draw or write these. Just demonstrate with algebra
tiles:
Equation:
4 3x 2
Create ZERO pairs
x 2
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Two step equations with algebra tiles:• No need to draw or write these. Just demonstrate with algebra
tiles:
Equation:
5 3 2x
1 x
x 1
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Two-Step Equation Friendship Comparison
9y 5 8Best friend (coefficient)
Just a friend(constant)
You Otherside of
the scale(outside the
party)
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3w4
7
Two-Step Equation Friendship Comparison
Best friend(coefficient = ¼)
Just a friend(constant)
YouOtherside of
the scale(outside the
party)
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EXAMPLE 1: Solving Two-Step Equations
• Solve each equation.1A) ✓ for balance:
18 4n 10– 10– 10
8 4n44
2 n
n 2
18 4n 10
18 4(2)10
18 810
18 18 ✓
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EXAMPLE 1: Solving Two-Step Equations
• Solve each equation.1B) ✓ for balance:
32 2 5x–2–2
30 5x–5–5
x 6
32 2 5x
32 2 5( 6)
32 2 30
32 32 ✓
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1C) ✓ for balance:
EXAMPLE 2: Solving Two-Step Equations that Contain Fractions
11m4
20+11+11
m4
9(4) (4)
m 36
11m4
20
11 364
20
11 9 20
20 20✓
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EXAMPLE 2: Solving Two-Step Equations that Contain Fractions
• Solve each equation. Method 1:
____________________________
y8
34
54
Multiply by the LCD: CLEAR the fractions.
( )8 ( )8
81
y8
81
34
5481
2 2
y
6
10+6 +6
y 16
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EXAMPLE 2: Solving Two-Step Equations that Contain Fractions
• Solve each equation. Method 2:
____________________________
y8
34
54
Use fraction operations
34
34
y8
84
81
81
2
y 16
Circle or * the method you
like the best.
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✓ for balance:
y8
34
54
168
34
54
84
34
54
54
54
✓
168
÷2÷2
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2A)
Which method should we use?
23w
34
712
EXAMPLE 2: Solving Two-Step Equations that Contain Fractions
✓ for balance:
What LCD should we use for Method #1?
(12)(12) (12)
8w 9 7
23w
34
712
34
912
23w
212
32
32
w 14
8w 2
w 28
14
23
14
34
712
212
34
712
212
912
712
✓
4 3 1–9 –9
8
1
4
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2B)________________
Which method should we use?
1315n
83
EXAMPLE 2: Solving Two-Step Equations that Contain Fractions
✓ for balance:
What LCD should we use for Method #1?
(15) (15) (15)
5 3n 40
1315n
83
13
13
15n
93
51
51
n 3(5) 15
3n 45
n 15
1315151
83
13 3
83
223
83
✓
–5 3 5+5 +5
3 3
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Practice:
• Solve each equation.1)_____________________ ✓ for balance:
1.5 1.2y 5.7+5.7 +5.7
7.2 1.2y1.21.2
y 6
1.5 1.2y 5.7
1.5 1.2(6) 5.7
1.5 7.2 5.7
1.5 1.5 ✓
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2)
Practice: Binder Paper
10 5 n4–5–5
5 n4
(-4)(-4)
n 20
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What should you do first?
5 4g 3+ 3+ 3
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What should you do first?
0.5x 12 6–12 –12
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What should you do first?
6a3
7–6 –6
What would you do second?
(3) (3)
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What should you do first?
34
38x 32
32
32
( )8( )8
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What should you do first?
27j 17
314
17
17
( )14 ( ) 14