Construct 1: Evaluating Advanced Exponents |
Zero exponent rule |
Applying a negative exponent |
Multiplying monomials |
Dividing monomials |
Applying negative exponents to variables |
Multiplying in scientific notation |
Dividing in scientific notation |
Construct 2: Solving Linear Equations |
Solving a multi-step equation |
Solving an equation with no solution set |
Solving an equation with an infinite solution set |
Isolating variables |
Solving a word problem involving percent |
Solving absolute value equations |
Construct 3: Graph and Analyze Linear Equations |
Graphing an equation |
Graphing an absolute value equation |
Deriving an equation from a graph |
Deriving an equation from the y-intercept and slope |
Deriving an equation from two points |
Writing an equation for a parallel line |
Writing an equation for a perpendicular line |
Verifying a point on a line |
Determining perimeter of a polygon from coordinates |
Construct 4: Relations and Functions |
Identifying a function from a relation |
Completing the input/output for a function |
Identifying range/domain |
Identifying a graph from a relation chart |
Writing a function from data |
Identifying a function from a graph |
Using a stem and leaf table |
Construct 5: Solving and Graphing Inequalities |
Solving a linear inequality |
Solving an absolute value inequality |
Solving a compound inequality |
Graphing a two-variable inequality |
Graphing an inequality system |
Construct 6: Solving and Graphing Systems of Linear Equations |
Solving systems using substitution |
Solving systems using addition |
Solving systems using subtraction |
Solving systems using multiplication |
Identifying parallel line solution sets |
Identifying infinite solution sets |
Graphing systems |
Solving three-variable systems |
Construct 7: Polynomial Operations |
Adding polynomials |
Subtracting polynomials |
Multiplying a monomial by a polynomial |
Multiplying polynomials |
Squaring polynomials |
Evaluating a polynomial |
Solving polynomial equations |
Finding the additive inverse of a polynomial |
Construct 8: Factoring Polynomials |
Factoring binomials |
Factoring polynomials |
Factoring trinomials |
Finding the difference of squares |
Identifying a perfect square trinomial |
Identifying a prime polynomials |
Solving polynomial equations |
Construct 9: Radical Expressions and Equations |
Simplifying radical expressions without variables |
Simplifying radical expressions with variables |
Rationalizing the denominator of a rational expressions |
Adding radical expressions |
Subtracting radical expressions |
Multiplying radical expressions |
Solving radical equations |
Construct 10: Quadratic Equations |
Finding the axis of symmetry of a quadratic equations |
Finding the vertex coordinates of a quadratic equations |
Finding the x-intercepts of a quadratic equation |
Graphing quadratic equations |
Identifying a perfect square trinomial |
Completing the square of a quadratic equation |
Solving quadratic equations |
Construct 11: Rational Expressions and Equations |
Identifying exclusions in the denominator |
Simplifying rational expressions |
Multiplying rational expressions |
Dividing rational expressions |
Adding rational expressions with like denominators |
Subtracting rational expressions with like denominators |
Adding rational expressions with unlike denominators |
Subtracting rational expressions with unlike denominators |
Solving rational equations |