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DO NOW:Are these like terms?

If so, can we combine them?

5x + 7 + 2x + 3z + 5

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LESSON 19: MORE ALGEBRA

Standard: 7.A.4

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Find the value of x and then the length of each side, ifthe total perimeter is 355 miles.

6x + 79x - 5

302x + 3

3x

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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

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= 6x+ 3x+ 2y + 4y

6x + 2y+ 3x + 4y

Applying the commutative property

9x + 6y=

= (6 + 3)x + (2 + 4)y

6x + 2y + 3x + 4y

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= 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

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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

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Solve for the variable!

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LESSON 19: MORE ALGEBRA

Standard: 7.A.4

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REVIEW: Solving Equations

What is the first step in solving this equation?

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Multiple Step Equations with Variables on both sides

5y - 5 = 2y + 7

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4x + 6 = 54 + x

Solve for the variable.

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9x - 8 = 40 + 5x

Solve for the variable.

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5x + 88 = 9x - 8

Solve for the variable.

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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?

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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

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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

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DO NOW

Solve:

3(4x - 5) = 105

3(4x - 40) = x + 100

9x + 18 = 3x + 54

6(2x + 9) = 2x + 144

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3(4x - 5) = 105

3(4x - 40) = x + 100

9x + 18 = 3x + 54

6(2x + 9) = 2x + 144

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3(5x + 9) = 4x - 105

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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!

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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!

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