Questions and Answers
What does it mean to evaluate an algebraic expression?
To evaluate an algebraic expression, substitute a value for the variable in the expression.
What are the factors in the algebraic expression 3(x - 2)?
3 and x - 2
What can you use to generate equivalent expressions?
The properties of operations
What do you need to do first in the expression 4x + 2x - 6y?
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How can you expand the algebraic expression 5(x - 7)?
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In the expression 6x + 10, what is 'x' considered?
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What is the coefficient in the expression 6x + 10?
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What is the constant in the expression 6x + 10?
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What are the four operations that can be used with expressions?
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What properties allow you to reorder and group like terms in an expression?
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Study Notes
Math Vocabulary Study Notes
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Value: To evaluate an algebraic expression, substitute a specific value for the variable present in the expression.
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Factors: In the algebraic expression 3(x - 2), the components 3 and (x - 2) are considered factors.
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Properties of Operations: Equivalent expressions can be generated using properties such as the commutative and associative properties of operations.
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Combine Like Terms: The expression 4x + 2x - 6y requires combining like terms (like 4x and 2x) to simplify.
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Expand: The distributive property is utilized to expand algebraic expressions, such as transforming 5(x - 7) into 5x - 35.
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Variable: In the expression 6x + 10, 'x' serves as the variable that represents an unknown value.
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Coefficient: In the expression 6x + 10, the number 6 is identified as the coefficient of the variable x.
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Constant: The number 10 in the expression 6x + 10 acts as the constant, which remains unchanged regardless of the variable's value.
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Operations: Addition, subtraction, multiplication, and division are fundamental operations that can be applied to expressions.
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Reorder and Group: The commutative property allows for the reordering of like terms, while the associative property facilitates the grouping of similar terms, as seen in the expression 5x + 4 + 6x - 3.
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Description
Explore key math vocabulary used in algebra, including definitions for terms like 'value', 'factors', and 'properties of operations'. This quiz will help reinforce your understanding of important concepts in algebraic expressions. Perfect for students looking to enhance their math skills.
