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VirginiaMaths

Expressions and Operations

6 dot points across 6 inquiry questions. Click any dot point for a focused answer with worked past exam questions where available.

How do you determine whether two algebraic expressions are equivalent, and how do you rewrite an expression in a more useful form?

Determine whether two algebraic expressions are equivalent, and use equivalent forms (expanded, factored, or simplified) to reveal structure and interpret meaning (A.EO.6).
A Virginia SOL Algebra I answer on A.EO.6: testing whether expressions are equivalent, rewriting between expanded and factored forms, interpreting the structure of an expression, and using equivalence to model situations.
9 min answer →

How do you use the properties of exponents to simplify expressions with integer exponents, and how do you convert between standard form and scientific notation?

Simplify expressions involving integer exponents using the laws of exponents, and represent and operate with very large or very small numbers in scientific notation (A.EO.2).
A Virginia SOL Algebra I answer on A.EO.2: the product, quotient, and power laws of exponents, zero and negative exponents, and converting between standard form and scientific notation.
9 min answer →

How do you factor polynomial expressions in one variable, including greatest common factors, trinomials, and special products?

Factor polynomial expressions in one variable: a greatest common monomial factor, trinomials of the form ax^2 + bx + c, perfect-square trinomials, and the difference of two squares (A.EO.5).
A Virginia SOL Algebra I answer on A.EO.5: factoring out the greatest common factor, factoring quadratic trinomials, recognizing perfect-square trinomials and the difference of squares, and the order to try methods.
9 min answer →

How do you add, subtract, and multiply polynomial expressions in one variable?

Add, subtract, and multiply polynomial expressions in one variable, including multiplying binomials and applying special products (A.EO.4).
A Virginia SOL Algebra I answer on A.EO.4: adding and subtracting polynomials by combining like terms, multiplying monomials and binomials with the distributive property and FOIL, and the special products.
9 min answer →

How do you simplify numerical and algebraic expressions in one variable using the order of operations and the properties of real numbers?

Apply the order of operations and the properties of real numbers (commutative, associative, distributive, identity, and inverse) to simplify and evaluate numerical and algebraic expressions in one variable (A.EO.1).
A Virginia SOL Algebra I answer on A.EO.1: the order of operations, the commutative, associative, distributive, identity, and inverse properties, combining like terms, and evaluating expressions in one variable.
9 min answer →

How do you simplify radical expressions and rewrite between radical form and rational-exponent form?

Simplify square-root and cube-root radical expressions involving numerical and monomial radicands, and convert between radical notation and rational-exponent notation (A.EO.3).
A Virginia SOL Algebra I answer on A.EO.3: simplifying square and cube roots, the product and quotient properties of radicals, simplifying radicals with variables, and converting between radical and rational-exponent form.
9 min answer →