Pre-Algebra Review
Beginning Algebra (Definitions)
Defining the terms: constant, variable, term, and coefficient.
Simplifying expressions that contain like terms.
Example:
Simplify:
7x + 4x
5x23 - 12x23
12y + 8x - 2y - 17x
2/5 x - 1/4 + 3/10 x - 5/2
The Distributive Property
Use the distributive property to simplify expressions.
Example:
Simplify:
7(2x - 4y)
Use the distributive property to simplify expressions.
Example:
Simplify:
5(2x - 3) - 8(4y - 7x - 3)
10 - 3(2x + 7y) + 4(5y - 6)
Equations
Defining "equation", "solving", and "solution".
Equations - The Addition Property
The Addition Property:
a = b is equivalent to a + c + b + c or a - c = b - c.
Example:
Solve:
x + 21 = 58
Equations - The Multiplication Property
The Multiplication Property
a = b is equivalent to ac = bc or a/c = b/c where c does not equal 0.
Example:
Solve:
2x = 10
8x = -60
Solving Linear Equations
The Addition Property:
a = b is equivalent to a + c + b + c or a - c = b - c.
Example:
Solve:
5x = -60
2/3 x = 20
-14/9 y = 56/81
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