Math Worksheets and Study Guides Eighth Grade. Polynomials and Exponents

The resources above correspond to the standards listed below:

West Virginia College and Career Readiness Standards

WV.M.8.EE. Expressions and Equations
Work with radicals and integer exponents.
M.8.3. Know and apply the properties of integer exponents to generate equivalent numerical expressions. (e.g., 3^2 × 3^–5 = 3^–3 = 1/3^3 = 1/27.)
M.8.5. Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other. (e.g., Estimate the population of the United States as 3 × 10^8 and the population of the world as 7 × 10^9, and determine that the world population is more than 20 times larger.)
M.8.6. Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities. (e.g., Use millimeters per year for seafloor spreading.) Interpret scientific notation that has been generated by technology.
WV.M.A18. High School Algebra I for 8th Grade
Expressions and Equations
Write expressions in equivalent forms to solve problems.
M.A18.53. Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.
M.A18.53.c. Use the properties of exponents to transform expressions for exponential functions. For example the expression 1.15^t can be rewritten as (1.15^1/12)^12t ≈ 1.012^12t to reveal the approximate equivalent monthly interest rate if the annual rate is 15%.
Perform arithmetic operations on polynomials.
M.A18.54. Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.
Quadratic Functions and Modeling
Analyze functions using different representations.
M.A18.68. Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.
M.A18.68.b. Use the properties of exponents to interpret expressions for exponential functions. For example, identify percent rate of change in functions such as y = (1.02)^t, y = (0.97)^t, y = (1.01)^12t, y = (1.2)^t/10, and classify them as representing exponential growth or decay.

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