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Write and evaluate numerical expressions involving whole-number exponents.

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

Evaluate expressions at specific values for their variables. Include expressions that arise from formulas in real-world problems.

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.

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.*..

Write and evaluate numerical expressions involving whole-number exponents.

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.

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.

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.