Questions and Answers
What does it mean to evaluate an algebraic expression?
Replace each variable with the given number and carry out the computation using the order of operations rule.
In an algebraic expression, what is the numerical factor of each variable term called?
Coefficient
What are like terms?
Terms that have the same variables with the same exponents.
What are terms that are not like called?
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What is the distributive property?
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What happens when you remove parentheses preceded by a minus sign?
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What happens when you remove parentheses preceded by a plus sign?
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Study Notes
Evaluating Algebraic Expressions
- Evaluating algebraic expressions involves substituting variables with given numbers and performing calculations according to the order of operations.
Coefficients in Algebraic Expressions
- The numerical factor in a variable term is known as the coefficient.
- For instance, in the term 3y, the coefficient is 3; for -4y, it’s -4.
- The coefficient of y is implied as 1, while the coefficient of -y is -1.
Like Terms
- Like terms are those sharing the same variables with identical exponents.
- Examples include 3y, -4y, and y, all containing the variable y raised to the first power.
Unlike Terms
- Unlike terms are terms that do not share the same variable or have different exponents.
- For example, 3x and 3x² are unlike because x is raised to different powers, and 3x² and 5y² are unlike due to different variables.
Distributive Property
- The distributive property states that a*(b+c) equals ab + ac.
- Through this property, a number multiplied by the sum of two quantities yields the same result as multiplying the number by each quantity separately.
Removing Parentheses with a Minus Sign
- When removing parentheses that are preceded by a minus sign, each term inside parentheses changes to its opposite sign.
Removing Parentheses with a Plus Sign
- When removing parentheses preceded by a plus sign, the terms within maintain their original signs.
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Description
This quiz focuses on evaluating algebraic expressions, understanding coefficients, and identifying like and unlike terms. Additionally, it covers the distributive property and its applications in algebra. Test your knowledge and improve your skills in these foundational algebra concepts.
