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Pre-Algebra Review




 
Beginning Algebra (Definitions)
Defining the terms: constant, variable, term, and coefficient.
Beginning Algebra (Like Terms)
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)



The Distributive Property
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


Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.


You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.


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