Expressions- Intro to Algebraic Expressions

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What is an algebraic expression?

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An algebraic expression is a mathematical phrase that includes numbers, variables, and operations (like addition, subtraction, multiplication, and division). For example, 3x + 5 is an algebraic expression.

Tags

CCSS.6.EE.A.2B

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What is a coefficient in an algebraic expression?

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A coefficient is a numerical factor that multiplies a variable in an algebraic expression. For example, in the expression 7c, 7 is the coefficient.

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CCSS.6.EE.A.2B

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What is a variable in algebra?

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A variable is a symbol (usually a letter) that represents an unknown value in an expression or equation. For example, in the expression x + 2, x is the variable.

Tags

CCSS.6.EE.A.2B

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How do you identify the number of terms in an expression?

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To identify the number of terms in an expression, count the number of separate parts that are added or subtracted. For example, in 5^2 + 7n - 2f, there are 3 terms.

Tags

CCSS.6.EE.A.2B

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What does it mean to simplify an expression?

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Simplifying an expression means to combine like terms and perform any operations to make the expression easier to understand or work with. For example, simplifying 2x + 3x results in 5x.

Tags

CCSS.7.EE.A.1

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What is a constant in an algebraic expression?

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A constant is a fixed value that does not change. In the expression 4x + 7, the number 7 is a constant.

Tags

CCSS.6.EE.A.2B

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What is the difference between an expression and an equation?

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An expression is a combination of numbers, variables, and operations without an equality sign, while an equation states that two expressions are equal, using an equality sign (e.g., 2x + 3 = 7).

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What does 'x cubed less than 7' mean in algebraic terms?

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'x cubed less than 7' means to subtract x cubed from 7, which is written as 7 - x^3.

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CCSS.6.EE.B.8

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How do you evaluate an algebraic expression?

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To evaluate an algebraic expression, substitute the values of the variables into the expression and perform the operations. For example, to evaluate 2x + 3 when x = 4, substitute 4 for x: 2(4) + 3 = 8 + 3 = 11.

Tags

CCSS.6.EE.A.2C

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What is a like term?

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Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms, while 3x and 4y are not.

Tags

CCSS.6.EE.A.2B