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FloridaMaths

Number Sense and Expressions

5 dot points across 5 inquiry questions. Click any dot point for a focused answer with worked past exam questions where available.

How do you write and use explicit and recursive formulas for arithmetic and geometric sequences, and connect them to linear and exponential functions?

Write and evaluate explicit and recursive formulas for arithmetic and geometric sequences, and relate arithmetic sequences to linear functions and geometric sequences to exponential functions (MA.912.AR.5 and MA.912.F).
A B.E.S.T. Algebra 1 EOC answer on sequences, the explicit and recursive formulas on the reference sheet, finding the common difference or ratio, and linking arithmetic to linear and geometric to exponential growth.
10 min answer →

How do you rewrite an algebraic expression in equivalent forms to reveal its structure, and how do you interpret the parts of an expression in context?

Rewrite algebraic expressions in equivalent forms using properties of operations, and interpret parts of an expression (coefficients, factors, terms) in terms of a real-world context (MA.912.AR.1.2).
A B.E.S.T. Algebra 1 EOC answer on equivalent expressions (MA.912.AR.1.2), the distributive property and combining like terms, interpreting coefficients and factors in context, and recognizing equivalent forms.
9 min answer →

How do you simplify expressions using the properties of integer and rational exponents, and rewrite radicals as rational exponents?

Apply the laws of exponents to numerical and algebraic expressions with integer and rational exponents, and rewrite radical expressions using rational exponents (MA.912.NSO.1).
A B.E.S.T. Algebra 1 EOC answer on the laws of exponents (MA.912.NSO.1), simplifying with negative and zero exponents, converting between radical and rational-exponent form, and the equation-editor entry the test rewards.
10 min answer →

How do you factor polynomials using the greatest common factor, trinomial patterns, difference of squares, and grouping?

Factor polynomial expressions using common factors, the difference of two squares, perfect-square trinomials, and grouping (MA.912.AR.1.3).
A B.E.S.T. Algebra 1 EOC answer on factoring (MA.912.AR.1.3), pulling out the GCF first, factoring trinomials, the difference of squares and perfect-square patterns, and factoring by grouping when the leading coefficient is not 1.
11 min answer →

How do you add, subtract, and multiply polynomials, and why is the set of polynomials closed under these operations?

Add, subtract, and multiply polynomial expressions with rational number coefficients, recognizing that polynomials are closed under these operations (MA.912.AR.1.1).
A B.E.S.T. Algebra 1 EOC answer on polynomial operations (MA.912.AR.1.1), combining like terms, distributing the subtraction sign, multiplying binomials, and the closure idea the standard emphasizes.
9 min answer →