Ixl Math Quiz Precalculus

Precalculus See all 305 skills

See all 305 skills

Compare physical quantity (🎒 vs 📘) Compare numbers < 10

Count up to 10 Count up to 20

Physical quantity (🎒 + 🎒) Single digits Two digits Three digits Multiple numbers

Compare numbers < 100 Compare place value

Count up to 100

What Is Rounding? Place Value Review Rounding Rule Rounding to the Nearest Ten Rounding to the Nearest Hundred

Physical quantity (🍎 − 🍎) Single digits Two digits Three digits Multiple numbers

Decimal addition Fraction addition Negative numbers Percent addition Real-life problem solving

Compare decimals Compare fractions Compare negative numbers Abstract & contextual comparison

Physical quantity (🍬 ÷ people) Within 5 Within 9

Physical fractions (visual understanding) Identify fractions

Physical quantity (🍪 groups) Within 5 Within 9 Two digits × one digit Two digits × two digits Multi-digit × multi-digit

Rounding Decimals (Tenths) Rounding Decimals (Hundredths) Rounding Whole Numbers & Decimals Rounding with Zeros Estimation Rounding Negative Numbers Rounding to a Given Place Word Problem Rounding Money Rounding Large Numbers Rounding vs Truncating Common Mistakes True or False Challenge Level Final Mastery Check

Decimal subtraction Fraction subtraction Negative numbers Percent subtraction Real-life problem solving

Physical quantity (tenths & hundredths) Identify decimals Place value Reading decimals Comparing decimals Ordering decimals Decimal on number line Decimal ↔ fraction Decimal ↔ percentage Rounding decimals Real-life decimals Challenge (conceptual)

Two digits ÷ one digit Two digits ÷ two digits Division with remainder Multi-digit ÷ multi-digit Multiple steps

Equivalent fractions Simplify fractions Compare fractions Order fractions Mixed numbers Number line fractions Fraction to decimal Real-life fractions Challenge (conceptual)

Multiple factors Decimal multiplication Fraction multiplication Negative numbers Percent multiplication Real-life problem solving

Counting patterns Skip counting Increasing patterns Decreasing patterns Alternating patterns Multiplication patterns Division patterns Mixed operations patterns Fraction patterns Decimal patterns Visual / shape patterns Function rule (concept) Challenge pattern

Physical quantity (out of 100) Identify percents Percent and words Percent ↔ fraction (concept) Percent ↔ decimal Comparing percents Ordering percents Percent on number line Real-life percents Estimating percents Common benchmarks Challenge (conceptual)

What Is Area? Counting Unit Squares Area of Rectangles Area of Squares Area of Rectangles on a Grid Area of Triangles (Concept) Area of Parallelograms (Concept) Area of Composite Shapes (Concept) Area with Units Compare Areas Missing Dimension (Concept) Real-Life Area True or False Challenge Level

Decimal division Fraction division Negative numbers Percent division Real-life problem solving

Match expression to value Match expression to word phrase Match equivalent expressions Match equation to solution Match equation to situation Match tables to expressions Match graph description to expression Match expressions with like terms Match inequality to meaning Match equation types Match multiple representations Challenge match

Identify integers Positive vs negative Integers on a number line Comparing integers Ordering integers Absolute value (concept) Integer addition (visual idea) Integer subtraction (meaning) Integer multiplication (sign rules) Integer division (sign rules) Real-life integers Zero & integers Challenge (conceptual)

What Is Perimeter? Perimeter of Simple Shapes Perimeter of Rectangles Perimeter of Irregular Shapes Perimeter of Triangles Missing Side (Concept) Perimeter with Units Perimeter on a Grid Perimeter of Polygons Perimeter of Composite Shapes (Concept) Real-Life Perimeter True or False Compare Perimeters Challenge Level

Identify rational numbers Types of rational numbers Fraction ↔ decimal Fraction ↔ percent Terminating vs repeating decimals Rational numbers on a number line Comparing rational numbers Ordering rational numbers Equivalent rational numbers Mixed forms Real-life rational numbers Rational vs irrational (concept) Challenge (conceptual)

Identify an Angle Parts of an Angle Acute Angles Right Angles Obtuse Angles Straight Angles Reflex Angles Full Rotation Classify Angles Angle Pairs (Concept) Angles on a Line Angles Around a Point Real-Life Angles Challenge Level

Identify Complementary Angles Identify Supplementary Angles Classify Angle Pairs Missing Complementary Angle Missing Supplementary Angle Complement or Supplement? Angles on a Right Angle Angles on a Straight Line Real-Life Angle Pairs True or False Algebraic Angle Pairs (Concept) Angle Diagram Interpretation Compare Pairs Challenge Level

What Is a Dilation? Key Idea of Dilation Center of Dilation Scale Factor Interpreting Scale Factors Dilation on the Coordinate Plane Dilation Practice (Enlargement) Dilation Practice (Reduction) Dilation with Negative Coordinates Dilation Not Centered at the Origin

Identify polygons Polygon basics Number of sides Regular vs irregular polygons Convex vs concave Interior angles (concept) Exterior angles (concept) Diagonals Special polygons Polygon hierarchy Polygons on the coordinate plane Real-life polygons Naming by sides (challenge) Challenge level

Identify quadrilaterals Parts of a quadrilateral Types of quadrilaterals (basic) Parallelogram family Trapezoids Kites Angle properties Side properties Diagonals (concept) Angle sum Hierarchy of quadrilaterals Real-life quadrilaterals Coordinate plane (concept) Challenge level

What Is a Reflection? Line of Reflection Reflection Across the x-Axis Reflection Across the y-Axis Reflection Across the Line y = x Reflection Across the Line y = −x Reflect a Point (Mixed) Reflect a Shape Properties Preserved Reflection on a Grid Real-Life Reflections True or False Identify the Line of Reflection Challenge Level

What Is a Rotation? Center of Rotation Direction of Rotation Angle of Rotation Rotate a Point 90° About the Origin (Concept) Rotate a Point 180° About the Origin Rotate a Point 270° About the Origin Clockwise Rotations (Concept) Rotate a Shape About the Origin Properties Preserved Rotation About a Point Other Than the Origin (Concept) Real-Life Rotations True or False Challenge Level

What Is Slope? Slope as Rise over Run Positive, Negative, Zero, Undefined Slope from a Graph (Concept) Slope Between Two Points Find Slope (Simple Points) Slope with Negative Coordinates Horizontal & Vertical Lines

What Is Surface Area? Identify Faces of 3D Shapes Surface Area of a Cube Surface Area of a Rectangular Prism Nets of 3D Shapes Surface Area on a Grid Surface Area of a Triangular Prism Surface Area of a Cylinder Surface Area of a Cone Surface Area of a Sphere Units of Surface Area Compare Surface Areas Real-Life Surface Area Challenge Level

What Is a Translation? Direction of Translation Translate a Point (Right & Up) Translate a Point (Left & Down) Translation Rule (Concept) Apply a Translation Rule Translate a Shape Identify Invariant Properties Translation on a Grid Translate Using Vectors (Concept) Real-Life Translations True or False Coordinate Plane Match Challenge Level

Triangle Angle Sum Rule Identify Interior Angles Check Angle Sums Find the Missing Angle Another Missing Angle Right Triangle Angle Sum Isosceles Triangle (Concept) Equilateral Triangle Exterior Angle (Concept) Algebraic Angles Triangle on a Straight Line Real-Life Triangle Angles True or False Challenge Level

Identify triangles Parts of a triangle Types of triangles by sides Types of triangles by angles Triangle angle sum Find the missing angle (concept) Triangle inequality (concept) Right triangle identification Congruent triangles (concept) Similar triangles (concept) Area of a triangle (concept) Perimeter of a triangle Real-life triangles Challenge level

What Is Volume? Counting Unit Cubes Volume of Rectangular Prisms Volume of Cubes Volume on a Grid (Concept) Volume of Prisms (Concept) Volume of Triangular Prisms (Concept) Volume of Cylinders (Concept) Volume of Cones (Concept) Volume of Spheres (Concept) Units of Volume Compare Volumes Real-Life Volume Challenge Level

Identify circles Parts of a circle Radius vs diameter Circumference (concept) Pi (π) Circumference formula (concept) Area of a circle (concept) Chords & arcs Central angles Semicircle & quadrant Circles on the coordinate plane Real-life circles True or false Challenge level

Identify axes & origin Quadrants Plotting points Reading coordinates Points on axes Distance from origin (concept) Symmetry Horizontal & vertical lines Graphing linear equations Identify points from a graph Real-life coordinate plane True or false Challenge level

Shape Preservation Lengths After Dilation Area & Dilation Volume & Dilation (3D Preview) Identifying Similar Figures Real-Life Applications True or False Common Mistakes Challenge Level Final Mastery Check

What Is Distance? Distance on a Number Line Horizontal Distance (Same y-value) Vertical Distance (Same x-value) Distance Formula (Concept) Using the Distance Formula Distance with Negative Coordinates Distance from the Origin Pythagorean Connection Compare Distances

What Is a Midpoint? Midpoint on a Number Line Horizontal Midpoint (Same y-value) Vertical Midpoint (Same x-value) Midpoint Formula Apply the Midpoint Formula Midpoint with Negative Coordinates Check Using a Grid

Compare Slopes Slope from a Table Real-Life Meaning of Slope True or False Slope & Direction Challenge Level

Identify like terms Add constants Add like terms (single variable) Add like terms with negatives Add simple polynomials Add polynomials with multiple terms Add polynomials with subtraction signs Add polynomials with powers Add polynomials with three terms Add polynomials in different orders Word match (concept) Challenge level

What Does Congruent Mean? Identify Congruent Figures Congruent Segments Congruent Angles Congruence Symbols Triangle Congruence – SSS Triangle Congruence – SAS Triangle Congruence – ASA Triangle Congruence – AAS Right Triangle Congruence – HL

Real-Life Interpretation True or False Coordinate Geometry Application Challenge Level

Identify linear vs nonlinear Parts of a linear function Slope meaning Table → linear function Graph description match Writing linear equations (concept) Comparing slopes Parallel & perpendicular (concept) Multiple representations Intercepts match Real-life linear functions True or false Challenge level

Identify True or False If–Then Statements Converse Statements Inverse Statements Contrapositive Statements Equivalent Statements Deductive Reasoning Inductive Reasoning Counterexamples

Real-Life Meaning True or False Geometry Application Coordinate Geometry Match Distance Check (Concept) Challenge Level

What Does Similar Mean? Identify Similar Figures Similar vs Congruent Scale Factor Corresponding Sides Similar Triangles (AA) Similar Triangles (SAS) Similar Triangles (SSS) Proportional Sides Find Missing Side (Concept)

Identify slope and intercept Slope direction Intercept meaning Slope from two points (concept) Table → slope Write equation from slope & intercept Compare slopes Parallel lines Perpendicular lines Intercepts from equation Real-life interpretation True or false Challenge level

Identify like terms Subtract constants Subtract like terms (single variable) Subtract like terms with negatives Subtract simple polynomials Distribute the minus sign Subtract polynomials with multiple terms Subtract polynomials with powers Subtract polynomials with three terms Different term orders Word match (concept) Challenge level

Not a Valid Congruence Rule Corresponding Parts CPCTC Apply CPCTC Congruence from Transformations Real-Life Congruence True or False Coordinate Geometry Congruence Reasoning Level Challenge Level

What Is an Exponential Function? General Form Growth vs Decay Identify Growth or Decay Initial Value Evaluating Exponential Functions Exponential Tables Graph Shape Horizontal Asymptote Domain & Range Comparing Growth Rates Transformations (Preview) Exponential Models Percent Growth & Decay Word Problem (Growth) Word Problem (Decay) Comparing Linear vs Exponential Common Mistakes Challenge Level Final Mastery Check What Is an Exponential Function? General Form Growth vs Decay Identify Growth or Decay Initial Value Evaluating Exponential Functions Exponential Tables Graph Shape Horizontal Asymptote Domain & Range Comparing Growth Rates Transformations (Preview) Exponential Models Percent Growth & Decay Word Problem (Growth) Word Problem (Decay) Comparing Linear vs Exponential Common Mistakes Challenge Level Final Mastery Check

Identify parabola vs not Opening direction Vertex identification Axis of symmetry Width of parabola Plotting key points y-intercept x-intercepts (concept) Transformations Graph from vertex form Compare parabolas True or false Challenge level

Logical Connectives Venn Diagrams (Concept) Truth Value from Conditions Reasoning with Definitions Error in Reasoning Mathematical Argument True or False Logic Geometry Logic Challenge Level

Multiply a monomial by a constant Multiply a monomial by a variable Multiply a monomial by a polynomial (one term) Distributive property Multiply binomial by binomial (FOIL concept) Binomial × binomial with negatives Binomial × trinomial Multiply polynomials with coefficients Multiply polynomials with powers Multiply two trinomials Area model (concept match) Special products Challenge level

Divide monomials (coefficients only) Divide monomials with variables Divide monomials with powers Polynomial ÷ monomial Polynomial ÷ monomial (with negatives) Binomial ÷ binomial (exact division) Binomial ÷ binomial (factoring first) Trinomial ÷ binomial (simple long division) Long division with coefficients Division with missing terms Remainders (concept) Synthetic division (concept) Challenge level

Identify quadratic vs non-quadratic Standard form recognition Opening direction Vertex (concept) Axis of symmetry Graph shape recognition Table → quadratic pattern Intercepts (concept) Transformations (concept) Compare quadratic functions Real-life quadratic situations True or false Challenge level

Identify radicals Square roots of perfect squares Cube roots of perfect cubes Rational vs irrational roots Simplifying square roots (perfect factors) Simplifying with variables Radical coefficients Adding like radicals Subtracting like radicals Multiplying radicals Rationalizing the denominator Radicals on the number line Real-life radicals Challenge level

Similarity on the Coordinate Plane Angle Preservation Perimeter & Area (Concept) Real-Life Similarity Similarity Proof (Concept) Common Mistakes True or False Challenge Level

Right Triangle Review Triangle Parts SOH–CAH–TOA (Overview) Identify the Ratio Sine Value (Concept) Cosine Value (Concept) Tangent Value (Concept) Identify the Missing Side (Concept) Special Angle Values (Concept) Compare Trig Ratios Real-Life Meaning Calculator Awareness True or False Coordinate Connection (Concept) Challenge Level

What Is SOH–CAH–TOA? Triangle Side Names SOH CAH TOA Identify the Ratio Use SOH (Concept) Use CAH (Concept) Use TOA (Concept) Choose the Correct Ratio Special Angles (Concept) True or False Real-Life Trigonometry Coordinate Connection Challenge Level

What Are Special Triangles? Identify the Special Triangle 45–45–90 Triangle (Angles) 45–45–90 Triangle (Side Ratio) Find Missing Sides (45–45–90) 30–60–90 Triangle (Angles) 30–60–90 Triangle (Side Ratio) Find Missing Sides (30–60–90) Half–Equilateral Triangle Concept Compare Special Triangles Trigonometric Values from Special Triangles Identify the Triangle from Side Lengths Real-Life Connections True or False Challenge Level

Identify real vs imaginary vs complex Imaginary unit (i) Writing complex numbers Identify parts of a complex number Complex numbers on the plane Add complex numbers Subtract complex numbers Multiply complex numbers Powers of i in expressions Complex conjugates Divide complex numbers (concept) Absolute value (magnitude) Real-life & concept match Challenge level Identify real vs imaginary vs complex Imaginary unit (i) Writing complex numbers Identify parts of a complex number Complex numbers on the plane Add complex numbers Subtract complex numbers Multiply complex numbers Powers of i in expressions Complex conjugates Divide complex numbers (concept) Absolute value (magnitude) Real-life & concept match Challenge level

Factor out the greatest common factor (GCF) Factor GCF with negative coefficient Factoring simple binomials Factoring trinomials (a = 1) Factoring trinomials with negatives Trinomials (a ≠ 1) Difference of squares Perfect square trinomials Factoring by grouping Factoring with GCF first Special cases match Factoring with multiple variables Challenge level Factor out the greatest common factor (GCF) Factor GCF with negative coefficient Factoring simple binomials Factoring trinomials (a = 1) Factoring trinomials with negatives Trinomials (a ≠ 1) Difference of squares Perfect square trinomials Factoring by grouping Factoring with GCF first Special cases match Factoring with multiple variables Challenge level

When to Use Each Rule Product Rule Formula Quotient Rule Formula Identify u and v (Product) Product Rule (Basic) Product Rule (Polynomial × Polynomial) Identify u and v (Quotient) Quotient Rule (Basic) Quotient Rule (Trigonometric) Simplify Before Differentiating? Common Mistakes Mixed Practice (Product) Mixed Practice (Quotient) True or False Strategy Level Challenge (Product Rule) Challenge (Quotient Rule) Final Mastery Check

What Is a Trigonometric Identity? The Main Pythagorean Identity Connection to the Unit Circle Evaluate Using the Identity Solve for sin θ Identify the Correct Identity Form Deriving from sin²θ + cos²θ = 1 Verify an Identity (Concept) Simplify an Expression Fill in the Blank True or False Using the Identity in a Triangle Unit Circle Values Common Mistakes Challenge Level

Identify rational expressions Parts of a rational expression Domain restrictions (concept) Simplifying rational expressions (GCF) Simplifying by factoring Canceling common factors Rational expressions with polynomials Multiplying rational expressions Dividing rational expressions Adding rational expressions (like denominators) Adding rational expressions (unlike denominators) Complex rational expressions (concept) Real-life meaning Challenge level

What Is the Sine Graph? Axes of the Sine Graph Key Points on the Sine Graph Plot the Basic Sine Curve Amplitude Period Midline Maximum and Minimum Values Symmetry Compare with Cosine (Concept) Sine Graph on the Unit Circle True or False Identify Points on the Graph Transform Preview (Concept) Challenge Level

What Is the Tangent Graph? Definition of Tangent Domain of the Tangent Function Vertical Asymptotes Key Points on the Tangent Graph Period of the Tangent Graph Midline Shape of the Graph Symmetry Compare with Sine & Cosine Unit Circle Connection True or False Identify Points on the Graph Transform Preview (Concept) Challenge Level

What Does It Mean to Solve a Trig Equation? Types of Trig Equations Basic Strategy Solve sin x = a Solve cos x = a Solve tan x = a Interval Awareness Using Reference Angles Quadrant Check Multiple-Angle Equations Using Identities Factoring Trig Equations Equations with Squares Using Pythagorean Identities Solutions in Degrees General Solutions Extraneous Solutions Common Mistakes Challenge Level Final Mastery Check What Does It Mean to Solve a Trig Equation? Types of Trig Equations Basic Strategy Solve sin x = a Solve cos x = a Solve tan x = a Interval Awareness Using Reference Angles Quadrant Check Multiple-Angle Equations Using Identities Factoring Trig Equations Equations with Squares Using Pythagorean Identities Solutions in Degrees General Solutions Extraneous Solutions Common Mistakes Challenge Level Final Mastery Check

What Is the Unit Circle? Coordinates on the Unit Circle Key Quadrantal Angles Trig Values at Quadrantal Angles Special Angle Coordinates (First Quadrant) Tangent on the Unit Circle Symmetry Across Quadrants Trig Values in Other Quadrants Reference Angles Tangent Signs Coterminal Angles Exact Values Check Real-Life Meaning True or False Challenge Level

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