Simplifying Algebraic Expressions

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What is an algebraic expression?

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An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. For example, 3x + 2 is an algebraic expression.

Tags

CCSS.6.EE.A.2B

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What is a term in an algebraic expression?

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A term is a single mathematical expression that can be a number, a variable, or a combination of both multiplied together. For example, in 3x + 2, '3x' and '2' are both terms.

Tags

CCSS.6.EE.A.2B

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What is a coefficient?

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A coefficient is a numerical factor in a term of an algebraic expression. For example, in the term 5x, 5 is the coefficient.

Tags

CCSS.6.EE.A.2B

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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 3x + 4, the number 4 is a constant.

Tags

CCSS.6.EE.A.2B

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How do you simplify an algebraic expression?

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To simplify an algebraic expression, combine like terms and perform any arithmetic operations. For example, 3x + 2 - 10 - 3x simplifies to -8.

Tags

CCSS.7.EE.A.1

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What are like terms?

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Like terms are terms that have the same variable raised to the same power. For example, 2x and 3x are like terms, while 2x and 3y are not.

Tags

CCSS.6.EE.A.2B

Front

What is the process of combining like terms?

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Combining like terms involves adding or subtracting the coefficients of like terms. For example, 2x + 3x = 5x.

Tags

CCSS.7.EE.A.1

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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 and variables without an equality sign, while an equation states that two expressions are equal, using an equality sign.

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How many terms are in the expression 2x + 4 + x - 5x?

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There are 4 terms in the expression: 2x, 4, x, and -5x.

Tags

CCSS.6.EE.A.2B

Front

What is the simplified form of 6n - 7n - 4 + n?

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The simplified form is -4.

Tags

CCSS.7.EE.A.1