Download - Lesson 19 More Algebra
-
8/8/2019 Lesson 19 More Algebra
1/25
January 06, 20
-
8/8/2019 Lesson 19 More Algebra
2/25
January 06, 20
DO NOW:Are these like terms?
If so, can we combine them?
5x + 7 + 2x + 3z + 5
-
8/8/2019 Lesson 19 More Algebra
3/25
January 06, 20
LESSON 19: MORE ALGEBRA
Standard: 7.A.4
-
8/8/2019 Lesson 19 More Algebra
4/25
January 06, 20
Find the value of x and then the length of each side, ifthe total perimeter is 355 miles.
6x + 79x - 5
302x + 3
3x
-
8/8/2019 Lesson 19 More Algebra
5/25
January 06, 20
Simplify by combining like terms
8x + 9x - 3x = (___+___-___)x
9y - 2y - 7y = (___-___-___)y
= ___y
= ___x
5y + 5y = (___+ ___)y
= ___y
4x - x = (4 - 1)x
= ____x
-
8/8/2019 Lesson 19 More Algebra
6/25
January 06, 20
= 6x+ 3x+ 2y + 4y
6x + 2y+ 3x + 4y
Applying the commutative property
9x + 6y=
= (6 + 3)x + (2 + 4)y
6x + 2y + 3x + 4y
-
8/8/2019 Lesson 19 More Algebra
7/25
January 06, 20
= 3x + 9 + 7x
3(x + 3) + 7x
10x + 9=
= 3x + 7x + 9
= (3 + 7)x + 9
Distributive property
Distributive property
Commutative property
1
2
3
4
5
The commutative and distributive properties
-
8/8/2019 Lesson 19 More Algebra
8/25
January 06, 20
9x - 4(x + 2)
5(4 + x) - 2x
8y - 4y + 4(y - 2)
3(x + 2y) - 6y - 3x
Apply the distributive property to simplify like terms
-
8/8/2019 Lesson 19 More Algebra
9/25
January 06, 20
Solve for the variable!
-
8/8/2019 Lesson 19 More Algebra
10/25
January 06, 20
LESSON 19: MORE ALGEBRA
Standard: 7.A.4
-
8/8/2019 Lesson 19 More Algebra
11/25
January 06, 20
REVIEW: Solving Equations
What is the first step in solving this equation?
-
8/8/2019 Lesson 19 More Algebra
12/25
January 06, 20
Multiple Step Equations with Variables on both sides
5y - 5 = 2y + 7
-
8/8/2019 Lesson 19 More Algebra
13/25
January 06, 20
4x + 6 = 54 + x
Solve for the variable.
-
8/8/2019 Lesson 19 More Algebra
14/25
January 06, 20
9x - 8 = 40 + 5x
Solve for the variable.
-
8/8/2019 Lesson 19 More Algebra
15/25
January 06, 20
5x + 88 = 9x - 8
Solve for the variable.
-
8/8/2019 Lesson 19 More Algebra
16/25
January 06, 20
7x - 5 = 53 + 3x
7x - 3x - 5 = 53 + 3x - 3x
4x - 5 = 534x - 5 + 5 = 53 + 5
4x = 48
4x / 4 = 48 / 4
x = 12
What is wrong with the following solution?
-
8/8/2019 Lesson 19 More Algebra
17/25
January 06, 20
Solve for the variable.
1. 8n + 3 = 18 + 3n
2. 5c + 23 = 7c - 21
3. 6x + 11 = 3x - 19
4. 5x + 7 + 9x = 8x + 37
5. 4n - 6 + 9n = 2n + 18 + 5n
-
8/8/2019 Lesson 19 More Algebra
18/25
January 06, 20
Solve for the variable.
1. 8n + 3 = 18 + 3n
2. 5c + 23 = 7c - 21
3. 6x + 11 = 3x - 19
4. 5x + 7 + 9x = 8x + 37
5. 4n - 6 + 9n = 2n + 18 + 5n
-
8/8/2019 Lesson 19 More Algebra
19/25
January 06, 20
DO NOW
Solve:
3(4x - 5) = 105
3(4x - 40) = x + 100
9x + 18 = 3x + 54
6(2x + 9) = 2x + 144
-
8/8/2019 Lesson 19 More Algebra
20/25
January 06, 20
3(4x - 5) = 105
3(4x - 40) = x + 100
9x + 18 = 3x + 54
6(2x + 9) = 2x + 144
-
8/8/2019 Lesson 19 More Algebra
21/25
January 06, 20
3(5x + 9) = 4x - 105
-
8/8/2019 Lesson 19 More Algebra
22/25
-
8/8/2019 Lesson 19 More Algebra
23/25
January 06, 20
LEARNING LOG - 7.A.4 - Aaron
Aaron believes that solving 7x - 5 = 4x - 8 + 15 is thesame as solving 11x = 12. Is he correct? What is the
solution? Explain and show proof!
-
8/8/2019 Lesson 19 More Algebra
24/25
January 06, 20
LEARNING LOG - 7.A.4 - Marianne
Marianne believes that the solution for 4(4x - 4) = 4x + 32 isnot a whole number. Is she correct? Explain and show proof!
-
8/8/2019 Lesson 19 More Algebra
25/25
January 06, 20