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Standard - 2.8.A1.B

Evaluate and simplify complex algebraic expressions, for example: sums of polynomials, products/quotients of exponential terms and product of a binomial times a trinomial;and solve and graph linear equations and inequalities

Eligible Content:
3 Total

Materials & Resources

Assessment Anchor - A1.1.1
Operations with Real Numbers and Expressions
- Anchor Descriptor - A1.1.1.1 Represent and/or use numbers in equivalent forms (e.g., integers, fractions, decimals, percents, square roots, and exponents).
  - Eligible Content - A1.1.1.1.1 Compare and/or order any real numbers (rational and irrational may be mixed).
    
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  - Eligible Content - A1.1.1.1.2
    Simplify square roots (e.g., √24 = 2√6).
    
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- Anchor Descriptor - A1.1.1.2 Apply number theory concepts to show relationships between real numbers in problem solving settings.
  - Eligible Content - A1.1.1.2.1 Find the Greatest Common Factor (GCF) and/or the Least Common Multiple (LCM) for sets of monomials.
    
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- Anchor Descriptor - A1.1.1.3 Use exponents, roots and/or absolute value to solve problems.
  - Eligible Content - A1.1.1.3.1 Simplify/evaluate expressions involving properties/laws of exponents, roots and/or absolute value to solve problems (exponents should be integers from -10 to 10).
    
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- Anchor Descriptor - A1.1.1.4 Use estimation strategies in problem-solving situations.
  - Eligible Content - A1.1.1.4.1 Use estimation to solve problems.
    
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- Anchor Descriptor - A1.1.1.5 Simplify expressions involving polynomials.
  - Eligible Content - A1.1.1.5.1 Add, subtract and/or multiply polynomial expressions (express answers in simplest form – nothing larger than a binomial multiplied by a trinomial).
    
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  - Eligible Content - A1.1.1.5.2
    Factor algebraic expressions, including difference of squares and trinomials (trinomials limited to the form ax²+bx+c where a is equal to 1 after factoring out all monomial factors).
    
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  - Eligible Content - A1.1.1.5.3 Simplify/reduce a rational algebraic expression.
    
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Assessment Anchor - A1.1.3
Linear Inequalities
- Anchor Descriptor - A1.1.3.1 Write, solve and/or graph linear inequalities using various methods.
  - Eligible Content - A1.1.3.1.1 Write or solve compound inequalities and/or graph their solution sets on a number line (may include absolute value inequalities).
    
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  - Eligible Content - A1.1.3.1.2 Identify or graph the solution set to a linear inequality on a number line.
    
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  - Eligible Content - A1.1.3.1.3 Interpret solutions to problems in the context of the problem situation (limit to linear inequalities).
    
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- Anchor Descriptor - A1.1.3.2 Write, solve and/or graph systems of linear inequalities using various methods.
  - Eligible Content - A1.1.3.2.1 Write and/or solve a system of linear inequalities using graphing (limit systems to 2 linear inequalities).
    
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  - Eligible Content - A1.1.3.2.2 Interpret solutions to problems in the context of the problem situation (systems of 2 linear inequalities only).
    
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