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## Equivalent Expressions

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Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them). For example, the expressions y + y + y and 3y are equivalent because they name the same number regardless of which number y stands for...

## Algebraic Expressions

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Write, read, and evaluate expressions in which letters stand for numbers

Write expressions that record operations with numbers and with letters standing for numbers.

Identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient); view one or more parts of an expression as a single entity.

## Simplifying Expressions

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Interpret expressions that represent a quantity in terms of its context. Interpret parts of an expression, such as terms, factors, and coefficients, in context.  Write and evaluate numerical expressions involving whole-number exponents.

Evaluate expressions at specific values for their variables. Include expressions that arise from formulas in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations).

## Simplifying Algebraic Expressions

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Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms.

Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.

## Algebraic Expressions

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Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.

## Radical Expressions - Conjugates Pairs

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Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents.  Rewrite expressions involving radicals and rational exponents using the properties of exponents.

Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise.

Find the conjugate of a complex number; use the conjugate to find the absolute value (modulus) and quotient of complex numbers.

## Radical Expressions - Rationalizing the Denominator

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Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents.  Rewrite expressions involving radicals and rational exponents using the properties of exponents.

Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise.