Questions and Answers
What is the simplified form of the expression 5x + 7 + 9x?
14x + 7
What is the simplified form of the expression 2x + 9 + 8 + 3x?
5x + 17
What is the simplified form of the expression 9  6 + 7x  2x + 3?
5x + 6
What is the simplified form of the expression 3x  7 + 9x?
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What is the simplified form of the expression 4x  8 + 10  x?
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What is the simplified form of the expression x + 5 + x  2?
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What is a numerical expression?
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What is an algebraic expression?
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What is a variable?
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What are terms in an algebraic expression?
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What are like terms?
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What does combining like terms mean?
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What does it mean to simplify an expression?
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What is the commutative property?
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What is the associative property?
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What is '5 more than a number' expressed algebraically?
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What is 'the difference of a number and 5' expressed algebraically?
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What does '5 divided by a number' look like algebraically?
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How is '5 minus a number' expressed algebraically?
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How is 'the sum of 5 and a number' represented?
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What is 'the product of 5 and a number' expressed like?
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What is 0.22 expressed as a fraction?
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What is 10% expressed as a decimal?
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What is 98.2% expressed as a decimal?
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What is 69/100 as a percentage?
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Study Notes
Combining Like Terms Concepts
 Combining Like Terms: Process of simplifying expressions by adding or subtracting terms that have the same variables.
 Like Terms: Terms that contain the same variables raised to the same power, and constants are also categorized as like terms.
Algebraic Expressions
 Algebraic Expression: Comprises variables, numbers, and operations without an equal sign; often requires simplification.
 Numerical Expression: Only consists of numbers and operations without variables or an equal sign.
Key Terms in Algebra
 Variable: A symbol (commonly a letter) representing an unknown number.
 Terms: Components of an expression separated by operations; include the sign preceding each term.
Simplification Techniques
 Simplify: To express an algebraic expression in the simplest form by combining like terms.

Example Expressions:
 5x + 7 + 9x simplifies to 14x + 7.
 2x + 9 + 8 + 3x simplifies to 5x + 17.
 9  6 + 7x  2x + 3 simplifies to 5x + 6.
Mathematical Properties
 Commutative Property: Addition or multiplication can be performed in any order without changing the result.
 Associative Property: Changing the grouping of numbers during addition or multiplication does not alter the total.
Expressions with Numbers
 5 more than a number: Expressed as x + 5.
 The difference of a number and 5: Written as x  5.
 5 divided by a number: Represented as 5 ÷ x.
 5 minus a number: Denoted as 5  x.
Converting Numbers
 Converting to Percent: For example, 10% is expressed as 0.10.
 Decimal to Percent Conversion: 98.2 corresponds to 982%.
 Fraction Representation: 69% can be written as 69/100.
General Notes
 Understanding these concepts is essential for solving algebraic equations and simplifying expressions effectively.
 Practice combining like terms and using properties of operations to enhance problemsolving skills in algebra.
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Test your understanding of combining like terms with these flashcards. Each card presents an expression and its simplified form, helping you sharpen your algebra skills. Ideal for students learning basic algebra concepts.