Name the Vocabulary! Combining Like Terms Distributive Property Multi-Step Equations Classify the Solution
100
What is the constant?
This number is not being multiplied by the variable.
100
What is a variable?
Like terms have this in common.
100
What is multiplication?
When distributing a number, we use this operation.
100
What is the inverse operation?
This operation reverses the effect of another operation and helps us isolate the variable.
100
What is One Solution?
Classify this equation according to its solution:

3 - 8x = 5 - 7x
200
What is the coeffcient?
This number is being multiplied by the variable.
200
2x + 6
Simplify by combining like terms:

3x + 1 + x + 5 - 2x
200
8m + 12
Simplify this expression using the distributive property:

4(2m + 3)
200
n = 6
Solve for the variable:

9n - 6 = 5n + 18
200
What is No Solution?
Classify this equation according to its solution:

5(y + 3) = 5y + 3
300
What is Infinitely Many Solutions?
This equation has the same coefficients and the same constants on either side.
300
10 - 21x + 3y
Simplify by combining like terms:

10 - 4x + 3y - 17x
300
-7y + 16
Simplify this expression using the distributive property:

-(7y - 16)
300
x = 3
Solve for the variable:

4(x + 6) - 11 = 25
300
What are Infinitely Many Solutions?
Classify this equation according to its solution:

2(x + 7) = 2x + 11 - (-3)
400
What is One Solution?
This equation has different coefficients.
400
7y - 7x - 2
Simplify by combining like terms:

9y + 3 - 4x - 2y - 3x - 5
400
-7x - 16
Distribute and combine like terms:

-15x + 8(x-2)
400
d = -2
Solve for the variable:

-3d - 32 = -2(5 - 4d)
400
What is No Solution?
Classify this equation according to its solution:

-2(x - 3) - x = -3x + 5
500
What is No Solution?
This equation has the same coefficients but different constants on either side.
500
8x + 19
Simplify by combining like terms:

3x + 5(x + 4) - 1
500
7x - 4
Distribute and combine like terms:

3(4x + 1) -(5x +7)
500
z = -7
Solve for the variable:

-3z - 4(4z - 8) = 3(-8z - 1)
500
What are Infinitely Many Solutions?
Classify this equation according to its solution:

1/3(15 - 6p) = 4 - 2p + 1






Unit 4: Linear Equations

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