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Questions and Answers
What is the result of combining like terms in the expression x + 4x?
What is the result of combining like terms in the expression x + 4x?
- 6x
- x
- 5x (correct)
- 4x
Which of the following correctly describes the term y?
Which of the following correctly describes the term y?
- It has a coefficient of 1. (correct)
- It is an unlike term when compared to 7m.
- It has a coefficient of -1.
- It cannot be a term in an equation.
Which statement accurately describes the terms 7m and -7y?
Which statement accurately describes the terms 7m and -7y?
- They are like terms because they have the same variable.
- They are the same term with different signs.
- They are like terms because they share a coefficient.
- They are unlike terms because they have different variables. (correct)
Identify the coefficient in the term $ rac{1}{2}$yx.
Identify the coefficient in the term $ rac{1}{2}$yx.
What is the purpose of inverse operations in mathematics?
What is the purpose of inverse operations in mathematics?
Flashcards
Terms
Terms
Individual parts of an expression separated by addition or subtraction signs.
Combine Like Terms
Combine Like Terms
Simplifying an expression by adding or subtracting terms with the same variable and exponent.
Coefficient
Coefficient
The number that multiplies a variable in a term.
Unlike Terms
Unlike Terms
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Inverse Operations
Inverse Operations
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Study Notes
UOI 3: Revision Worksheets
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Combining Like Terms: Terms with the same variables raised to the same powers are like terms. Combining like terms involves adding or subtracting the coefficients of those terms.
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Coefficients: The numerical factor in a term. For example, in the term 3x, 3 is the coefficient.
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Expressions: A combination of variables, numbers, and operations. Examples are 3x – 5y – 9 and x + 4x.
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Terms: The individual parts of an expression that are separated by addition or subtraction. Example 3x, -5y and -9 in the expression 3x - 5y - 9 are individual terms
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Inverse Operations: Operations that undo each other. In arithmetic these include addition and subtraction, multiplication and division, squarerooting and squaring and finding the inverse of a fraction.
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Simplifying Expressions: Combining like terms to obtain a simpler equivalent expression. For example, x + 4x simplifies to 5x.
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Fact Families: Two or more related facts or equations that involve the same numbers. Often related by addition and subtraction, or multiplication and division.
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Example Fact Family: Given a mathematical equation or problem, identifying two or more related facts using the same numbers involved in that problem.
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Description
This quiz covers the fundamental concepts of combining like terms, coefficients, and expressions. It also addresses simplifying expressions and understanding inverse operations. Perfect for revising essential algebra skills.
