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Standard - 2.8.A2.B

Evaluate and simplify algebraic expressions, for example: products/quotients of polynomials, logarithmic expressions and complex fractions; and solve and graph linear, quadratic, exponential and logarithmic equations and inequalities, and solve and graph systems of equations and inequalities.

Eligible Content:
5 Total

Materials & Resources

Assessment Anchor - A2.2.2
Applications of Functions
- Anchor Descriptor - A2.2.2.1 Create, interpret and/or use polynomial, exponential and/or logarithmic functions and their equations, graphs or tables.
  - Eligible Content - A2.2.2.1.1 Create, interpret and/or use the equation, graph or table of a polynomial function (including quadratics).
    
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  - Eligible Content - A2.2.2.1.2 Create, interpret and/or use the equation, graph or table of an exponential or logarithmic function (including common and natural logarithms).
    
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  - Eligible Content - A2.2.2.1.3
    Determine, use and/or interpret minimum and maximum values over a specified interval of a graph of a polynomial, exponential or logarithmic function.
    
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  - Eligible Content - A2.2.2.1.4
    Translate a polynomial, exponential or logarithmic function from one representation to another (graph, table and equation).
    
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- Anchor Descriptor - A2.2.2.2 Describe and/or determine families of functions.
  - Eligible Content - A2.2.2.2.1
    Identify or describe the effect of changing parameters within a family of functions (e.g., y = x² and y = x² + 3, or y = x²and y = 3x²).
    
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Assessment Anchor - A2.1.3
Non-Linear Equations
- Anchor Descriptor - A2.1.3.1 Write and/or solve non-linear equations using various methods.
  - Eligible Content - A2.1.3.1.1 Write and/or solve quadratic equations (including factoring and using the Quadratic Formula).
    
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  - Eligible Content - A2.1.3.1.2
    Solve equations involving rational and/or radical expressions (e.g., 10/(x + 3) + 12/(x – 2) = 1 or √( x²+ 21x) = 14).
    
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  - Eligible Content - A2.1.3.1.3 Write and/or solve a simple exponential or logarithmic equation (including common and natural logarithms).
    
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  - Eligible Content - A2.1.3.1.4 Write, solve and/or apply linear or exponential growth or decay (including problem situations).
    
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- Anchor Descriptor - A2.1.3.2 Describe and/or determine change.
  - Eligible Content - A2.1.3.2.1 Determine how a change in one variable relates to a change in a second variable (e.g., y=4/x, if x doubles, what happens to y?).
    
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  - Eligible Content - A2.1.3.2.2 Use algebraic processes to solve a formula for a given variable (e.g., solve d = rt for r).
    
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