Name the Vocabulary! | Combining Like Terms? | Distributive Property | Multi-Step Equations | Classify the Solution |
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What is the constant?
This number is not being multiplied by the variable.
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What is a variable?
Like terms have this in common.
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What is multiplication?
When distributing a number, we use this operation.
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What is the inverse operation?
This operation reverses the effect of the another operation and helps us isolate the variable.
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What is One Solution?
Classify this equation according to its solution:
3 - 8x = 5 - 7x |
What is the coeffcient?
This number is being multiplied by the variable.
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2x + 6
Simplify by combining like terms:
3x + 1 + x + 5 - 2x |
8m + 12
Simplify this expression using the distributive property:
4(2m + 3) |
n = 6
Solve for the variable:
9n - 6 = 5n + 18 |
What is No Solution?
Classify this equation according to its solution:
5(y + 3) = 5y + 3 |
What is Infinitely Many Solutions?
This equation has the same coefficients and the same constants on either side.
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10 - 21x + 3y
Simplify by combining like terms:
10 - 4x + 3y - 17 x |
-7 + 16
Simplify this expression using the distributive property:
-(7y - 16) |
x = 3
Solve for the variable:
4(x + 6) - 11 = 25 |
What are Infinitely Many Solutions?
Classify this equation according to its solution:
2(x + 7) = 2x + 11 - (-3) |
What is One Solution?
This equation has different coefficients.
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7y - 7x - 2
Simplify by combining like terms:
9y + 3 - 4x - 2y - 3x - 5 |
-7x - 16
Distribute and combine like terms:
-15x + 8(x-2) |
d = -2
Solve for teh variable:
-3d - 32 = -2(5 - 4d) |
What is No Solution?
Classify this equation according to its solution:
-2(x - 3) - x = -3x + 5 |
What is No Solution?
This equation has the same coefficients but different constants on either side.
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8x + 19
Simplify by combining like terms:
3x + 5(x + 4) - 1 |
7x - 4
Distribute and combine like terms:
3(4x + 1) -(5x +7) |
z = -7
Solve for the variable:
-3z - 4(4z - 8) = 3(-8z - 1) |
What are Infinitely Many Solutions?
Classify this equation according to its solution:
1/3(15 - 6p) = 4 - 2p + 1 |