Simplify the Following
Distributive Property
Expression Vocab
Factoring Expressions
Random.
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Enter at your own risk...
100
3a - 7a
-4a
100
Distribute: 2(3 + 6n)
6 + 12n
100
The multiplier of the Variable
Coefficient
100
Factor: 6a + 3b
3(2a + b)
100
Simplify & Combine Like Terms: 3x + 2(2x - 4)
7x - 8
200
4c + 8c - 13c
-c or -1c
200
Distribute: -5(6m - 9)
-30m + 45
200
A term without a variable
Constant
200
Factor: 28e - 21
7(4e - 3)
200
Evaluate when h = 4 and x = 2.
2h - 4x - 3h
8 - 8 - 12 = -12
300
-4xy - 3xy + 11 - 5
-7xy + 6
300
Distribute & Simplify: 2a(5 - 7m) - 40am
10a - 54am
300
The factor of two terms written as a product
Distributive Property
300
Factor: -56ab - 8a
-8a(7b + 1)
300
Distribute showing two different factors:
2(3x + 15)
3(2x + 10)
.5(12x + 60)
may be others
400
-8y +5y - 5x
-3y - 5x
400
Distribute: -4a(3m - 6n + c)
-12am + 24an - 4ac
400
Terms that contain the same variable
Like Terms
400
Factor: 12a - 8b + 20c
4(3a - 2b + 5c)
400
A car salesman has a basic salary of $2,500 a month. For every car sold, he gets a commission of $700. Let c be the number of cars that he sells in a month. Write an expression showing his monthly salary in terms of c.
$2,500 + $700c
500
-x + 3x -2y + 4y + 3 - 5
2x + 2y - 2
500
Distribute & Simplify:
-2(x - 3y) + 6(x - y + 3)
4x + 18
500
A letter that represents an unknown value
Variable
500
Factor: -12nx + 21ny
3n(-4x + 7y)
500
Simplify:
9(y + z) + (-3(2y - 4z))
9y + 9z - 6y +12z which simplifies to:
3y + 21z