Technical College Readiness Mathematics

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Select the number of each type of objective: (Selecting Random will randomly generate all subtypes) Click on any title to see the free sample worksheet. (only the first few samples are free) (Random) Review a. Using Divisibility Rules b. Solving Divisibility Word Problems c. Finding Area/Perimeter Squares/Rectangles d. Finding Area/Perimeter Circles/Triangles e. Solving Perimeter Problems with variables f. Solving Area Problems with variables (Requires factoring) g. Finding and Completing Patterns (from Pictures) h. Finding and Completing Patterns (from Tables) i. Finding and Completing Patterns (from Sequences) j. Finding and Completing Patterns (from Word Problems) k. Identifying Arithmetic/Geometry Sequences l. Finding the n^th term formula for an Arithmetic Sequence m. Finding the n^th term formula for a Geometric Sequence n. Using Set Builder Notation o. Using Interval Notation (Random) Linear Equations and Inequalities a. Solving Simple Linear Equations b. Solving Multi-Step Linear Equations (constant on one side) c. Solving Linear Equations with x's on both sides d. Solving Multi-Step Linear Equations e. Solving Linear Inequalities f. Solving Literal Equations g. Setting up Word Problems h. Solving Mixture Problems (Random) Functions a. Identifying Functions from Relations. b. Completing Tables c. Finding the value of a relation d. Finding Domain of Relations e. Finding Range of Relations f. Describing the Transformation of a Basic Function g. Writing the Equation of a Transformed Function (Random) Graphing Lines a. Writing the Equation of a Horizontal Or Vertical Line b. Writing the Equation of a Linear Graph c. Graphing in Slope-Intercept Form d. Graphing with Point-Slope Form e. Graphing from Standard Form f. Finding the x and y Intercepts From an Equation g. Graphing with x and y Intercepts h. Identify x and y Intercepts from a Graph (Random) Finding Slope a. Finding Slope of a Linear Equation b. Finding Slope for a Linear Graph c. Finding Slope from 2 Points d. Identifying Positive/Negative Slope e. Finding Slope of a Parallel Line f. Finding the Equation of a Parallel Line g. Finding Slope of a Perpendicular Line h. Finding the Equation of a Perpendicular Line (Random) Writing Linear Equations a. Writing Linear Equations from Graphs b. Writing a Linear Equation from the y-intercept and Slope c. Writing Linear Equations from 2 Points d. Writing Linear Equations from a table e. Writing a Linear Equation from a Point and Slope f. Writing the Equation of a Parallel Line g. Changing an Equation to Standard Form h. Changing an Equation to Slope-Intercept Form i. Setting Up Word Problems (Random) Graphing Systems of Equalities/Inequalities a. Graphing Linear Inequalities b. Graphing Systems of Linear Inequalities c. Determining the number of Solutions of a System of Linear Equations d. Determining the Types of Lines in a System of Linear Equations (intersecting, parallel, or infinite solutions) e. Solving Two Linear Equations in Two Variables with Linear Combination f. Solving Two Linear Equations in Two Variables with Substitution g. Solving Two Linear Equations in Two Variables by Graphing h. Verify Solution of a System of Linear Equations i. Solving Word Problems (Systems of Linear Equations) (Random) Exponents a. Identifying the Base, Exponent, and Coefficient in a monomial expression b. Fixing Negative and Zero Exponents c. Multiplying Monomials Law of Exponents (Positive Exponents) d. Multiplying Monomials Law of Exponents e. Dividing Monomials Law of Exponents (Positive Exponents) f. Dividing Monomials Law of Exponents g. Raising Monomials to a Power Law of Exponents (Positive Exponents) h. Raising Monomials to a Power Law of Exponents i. Simplifying Mixed Monomial Expressions j. Using Scientific Notation k. Solving Scientific Notation Word Problems (Random) Polynomials a. Identifying Like Terms b. Classifying Polynomials by the Number of Terms c. Adding Polynomials d. Subtracting Polynomials e. Subtracting Polynomials and Setting Up the Subtraction f. Multiplying Monomials (includes negative exponents) g. Multiplying Polynomials h. Dividing Monomials (includes negative exponents) i. Dividing Polynomials by a Monomial (no factoring needed) j. Dividing Polynomials by a Binomial (requires factoring) k. Using Algebra Tiles l. Perimeter and Area Problems m. Using Synthetic Division n. Using Long Division o. Using Box Division (Random) Factoring a. Identifying GCFs b. Factoring out Monomials (Reverse Distribution) c. Factoring out Monomials d. Factoring Trinomials with hints e. Factoring Trinomials (a=1) (Grid Factoring Video) f. Factoring Trinomials (a>1) (Grid Factoring Video) g. Factoring Difference of Squares h. Factoring Perfect Square Trinomials i. Area Problems (Random) Squares and Square Roots a. Simplifying Square Roots of Square Numbers b. Estimating Square Roots (decimal values) c. Creating Factor Trees d. Simplifying Square Roots e. Simplifying Harder Square Roots f. Adding/Subtracting Square Roots g. Multiplying Square Roots h. Using the Pythagorean Theorem (finding the Hypotenuse) i. Evaluating a Square Root (of Discriminant) j. Evaluating Square and Cube Root Expressions k. Simplifying Square and Cube Root Expressions	(Random) Quadratics a. Graphically Finding the Roots and Zeros b. Graphically Solving Quadratic Equations c. Factoring to Solve Quadratic Equations d. Solving Quadratic Equations using the Quadratic Formula e. Verifying Solutions of Quadratic Equations f. Solving Quadratic Based Word Problems g. Expressing Solutions to Quadratic Equations in a Table (Random) Roots a. Identifying Zeros of Graphs b. Finding Roots of Factored Functions c. Evaluating the Value of a Function d. Verifying Roots of Functions e. Relating Factors, Zeros and X-Intercepts (Random) Scatterplots and Line of Best Fit a. Identifying Positive, Negative, and Zero Correlation b. Finding the Line of Best Fit from a Table or Scatter Plot c. Predicting with the Line of Best Fit d. Finding the Curve of Best Fit (Random) Statistics a. Finding Mean, Median and Mode b. Identifying the Meaning of Mean, Median and Mode c. Finding Standard Deviation (s) d. Finding Standard Deviation (σ) e. Constructing Stem and Leaf f. Constructing Box and Whisker g. Reading Stem and Leaf h. Reading Box and Whisker i. Comparing Box and Whisker Plots j. Word Problems k. Finding a Z-Score l. Finding a piece of data given the z-score m. Finding the Mean Absolute Deviation (MAD) n. Comparing the Mean Absolute Deviation and Standard Deviation (Random) Direct and Inverse Variation a. Identifying Direct Variation b. Identifying Inverse Variation c. Identifying Variation of a Graph d. Setting up Direct Variations e. Setting up Inverse Variations f. Solving Variation Word Problems (Random) Parabolas/Quadratics a. Finding the Min/Max of a Parabola from a Graph b. Finding the Vertex of a Parabola from a Graph c. Finding the Axis of Symmetry of a Parabola from a Graph d. Finding the Min/Max of a Parabola from Standard Form e. Finding the Vertex of a Parabola from Standard Form f. Finding the Axis of Symmetry of a Parabola from Standard Form (Random) More Function Properties a. Identifying Continuity in Graphs b. Finding Maximum and Minimum Values in Graphs c. Finding Domains d. Finding Ranges e. Finding X and Y intercepts in Graphs f. Reading Graphs for Word Problems (Random) Rational Expressions a. Classifying Polynomials by Degree b. Classifying Polynomials by Number of Terms c. Adding Polynomials d. Subtracting Polynomials e. Multiplying Monomials (includes negative exponents) f. Dividing Monomials (includes negative exponents) g. Multiplying and Dividing Monomials (includes negative exponents) h. Multiplying Polynomials i. Dividing Polynomials (Requires Factoring!) j. Mixed Polynomial Expressions (Multiple Operations) (Requires Factoring!) k. Multiplying Rational Expressions (Easier) (Requires Factoring!) l. Multiplying Rational Expressions (Harder) (Requires Factoring!) m. Dividing Rational Expressions (Easier) (Requires Factoring!) n. Dividing Rational Expressions (Harder) (Requires Factoring!) o. Adding Rational Expressions(Easier) (Requires Factoring!) p. Adding Rational Expressions (Harder) (Requires Factoring!) q. Subtracting Rational Expressions(Easier) (Requires Factoring!) r. Subtracting Rational Expressions (Harder) (Requires Factoring!) s. Mixed Rational Expressions (Multiple Operations with simplify)(Easier) (Requires Factoring!) t. Mixed Rational Expressions (Multiple Operations with simplify) (Harder) (Requires Factoring!) u. Finding Equations of Vertical Asymptotes of Rational Functions v. Finding Equations of Horizontal Asymptotes of Rational Functions (Random) Radical Expressions a. Simplifying Radical Expressions (Numbers Only) b. Adding Radical Expressions (Numbers Only) c. Subtracting Radical Expressions (Numbers Only) d. Multiplying Radical Expressions (Numbers Only) e. Dividing Radical Expressions (Numbers Only) f. Simplifying Combinations of Radical Expressions (Multiple Operations -- Numbers Only) g. Simplifying Radical Expressions (Includes Variables) (Requires some factoring) h. Adding Radical Expressions (Includes Variables) (Requires some factoring) i. Subtracting Radical Expressions (Includes Variables) (Requires some factoring) j. Multiplying Radical Expressions (Includes Variables) k. Dividing Radical Expressions (Includes Variables & Requires Rationalizing Denominators) l. Converting Radicals to Exponents (Rationals) m. Converting Exponents (Rationals) to Radicals (Random) Right Triangles and Trigonometry a. Simplifying Radicals b. Using the Pythagorean Theorem c. Using the Pythagorean Theorem Converse (Classifying Triangles) d. Using Right Triangles with Altitudes e. Using Special Right Triangles f. Finding Trigonometric Functions from Triangles g. Solving Ratios with Trigonometric Functions h. Using Trigonometry (Sin, Cos, Tan) to find Side Lengths i. Using Inverse Trigonometric Functions (Sin^-1, Cos^-1, Tan^-1) to find Angles j. Solving Right Triangles k. Finding Area of Right Triangles (Uses Trig!) l. Using sin²(A) + cos²(A) = 1 m. Using sin(A) = cos(90°-A) (Random) Combinations And Permutations a. Identifying Permutations and Combinations b. Calculating Permutations (And other cases where order matters) c. Calculating Combinations d. Calculating Rearrangements of Words
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