# Functions and equations

Here is a list of all of the skills that cover functions and equations! These skills are organised by class, and you can move your mouse over any skill name to preview the skill. To start practising, just click on any link. IXL will track your score, and the questions will automatically increase in difficulty as you improve!

## Class II skills

- E.8 Addition input/output tables - sums to 20
- F.8 Subtraction input/output tables - up to 18
- G.7 Addition input/output tables - up to two digits
- H.7 Subtraction input/output tables - up to two digits
- S.5 Input/output tables - write the rule - up to 20
- S.10 Input/output tables - write the rule - up to 100

## Class VII skills

- P.11 Solve equations using properties
- Q.1 Which x satisfies an equation?
- Q.2 Write an equation from words
- Q.3 Model and solve equations using algebra tiles
- Q.4 Write and solve equations that represent diagrams
- Q.5 Solve one-step equations
- Q.6 Solve two-step equations
- Q.7 Solve equations: word problems
- Q.8 Solve equations involving like terms
- Q.9 Solve equations: complete the solution

## Class VIII skills

- F.18 Solve equations involving squares and square roots
- F.21 Solve equations involving cubes and cube roots
- I.2 Write equations for proportional relationships from tables
- I.4 Find the constant of proportionality from a graph
- I.5 Write equations for proportional relationships from graphs
- I.6 Identify proportional relationships
- I.8 Interpret graphs of proportional relationships
- I.9 Write and solve equations for proportional relationships
- W.1 Which x satisfies an equation?
- W.2 Write an equation from words
- W.3 Model and solve equations using algebra tiles
- W.4 Write and solve equations that represent diagrams
- W.6 Solve one-step equations
- W.7 Solve two-step equations
- W.8 Solve multi-step equations
- W.9 Solve equations involving like terms
- W.10 Solve equations: complete the solution
- W.11 Solve equations: word problems

## Class IX skills

- N.1 Model and solve equations using algebra tiles
- N.2 Write and solve equations that represent diagrams
- N.3 Solve one-step linear equations
- N.4 Solve two-step linear equations
- N.5 Solve advanced linear equations
- N.6 Solve equations with variables on both sides
- N.7 Solve equations: complete the solution
- N.8 Find the number of solutions
- N.10 Solve linear equations: word problems
- N.11 Solve linear equations: mixed review
- P.4 Rate of travel: word problems
- P.5 Weighted averages: word problems
- S.1 Identify proportional relationships
- S.2 Find the constant of variation
- S.3 Graph a proportional relationship
- S.4 Write direct variation equations
- S.5 Write and solve direct variation equations
- T.1 Identify linear equations
- T.2 Find the slope of a graph
- T.3 Find the slope from two points
- T.5 Slope-intercept form: find the slope and y-intercept
- T.6 Slope-intercept form: graph an equation
- T.7 Slope-intercept form: write an equation from a graph
- T.8 Slope-intercept form: write an equation
- T.9 Slope-intercept form: write an equation from a table
- T.10 Slope-intercept form: write an equation from a word problem
- T.11 Linear equations: solve for y
- T.12 Write linear equations to solve word problems
- T.13 Compare linear equations, graphs and tables
- T.14 Write equations in standard form
- T.15 Standard form: find x- and y-intercepts
- T.16 Standard form: graph an equation
- T.17 Equations of horizontal and vertical lines
- T.18 Graph a horizontal or vertical line
- T.19 Slopes of parallel and perpendicular lines
- T.20 Write an equation for a parallel or perpendicular line
- BB.1 Characteristics of quadratic equations
- BB.2 Complete a table: quadratic equations
- BB.3 Solve a quadratic equation using square roots
- BB.4 Solve a quadratic equation using the zero product property
- BB.5 Solve a quadratic equation by factorising
- BB.6 Solve a quadratic equation using the quadratic formula
- DD.6 Solve rational equations

## Class X skills

- D.1 Identify linear equations
- D.2 Find the slope of a graph
- D.3 Find the slope from two points
- D.5 Slope-intercept form: find the slope and y-intercept
- D.6 Slope-intercept form: graph an equation
- D.7 Slope-intercept form: write an equation from a graph
- D.8 Slope-intercept form: write an equation
- D.9 Slope-intercept form: write an equation from a table
- D.10 Slope-intercept form: write an equation from a word problem
- D.11 Write linear equations to solve word problems
- D.12 Compare linear equations, graphs and tables
- D.13 Write equations in standard form
- D.14 Standard form: find x- and y-intercepts
- D.15 Standard form: graph an equation
- D.16 Equations of horizontal and vertical lines
- D.17 Graph a horizontal or vertical line
- D.18 Slopes of parallel and perpendicular lines
- D.19 Write an equation for a parallel or perpendicular line
- E.1 Is (x, y) a solution to the pair of equations?
- E.2 Solve a pair of equations by graphing
- E.3 Solve a pair of equations by graphing: word problems
- E.4 Find the number of solutions to a pair of equations by graphing
- E.5 Find the number of solutions to a pair of equations
- E.6 Solve a pair of equations using substitution
- E.7 Solve a pair of equations using substitution: word problems
- E.8 Solve a pair of equations using elimination
- E.9 Solve a pair of equations using elimination: word problems
- J.1 Characteristics of quadratic equations
- J.2 Complete a table: quadratic equations
- J.3 Solve a quadratic equation using square roots
- J.4 Solve a quadratic equation using the zero product property
- J.5 Solve a quadratic equation by factorising
- J.7 Solve a quadratic equation by completing the square
- J.8 Solve a quadratic equation using the quadratic formula
- J.9 Using the discriminant
- J.10 Graph a quadratic equation
- J.11 Match quadratic functions and graphs
- K.6 Solve rational equations
- V.2 Rate of travel: word problems
- V.3 Weighted averages: word problems

## Class XI skills

- C.1 Relations: convert between tables, graphs, mappings and lists of points
- C.2 Domain and range of relations
- C.3 Identify independent and dependent variables
- C.4 Identify functions
- C.5 Identify functions: vertical line test
- C.6 Find values using function graphs
- C.7 Evaluate a function
- C.8 Evaluate a function: plug in an expression
- C.9 Complete a function table from a graph
- C.10 Complete a function table from an equation
- C.11 Interpret the graph of a function: word problems
- D.1 Find the slope of a graph
- D.2 Find the slope from two points
- D.4 Slope-intercept form: find the slope and y-intercept
- D.5 Slope-intercept form: graph an equation
- D.6 Slope-intercept form: write an equation from a graph
- D.7 Slope-intercept form: write an equation
- D.8 Slope-intercept form: write an equation from a table
- D.9 Slope-intercept form: write an equation from a word problem
- D.10 Write linear functions to solve word problems
- D.11 Complete a table and graph a linear function
- D.12 Write equations in standard form
- D.13 Standard form: find x- and y-intercepts
- D.14 Standard form: graph an equation
- D.15 Equations of horizontal and vertical lines
- D.16 Graph a horizontal or vertical line
- D.17 Slopes of parallel and perpendicular lines
- D.18 Write an equation for a parallel or perpendicular line
- D.19 Transformations of linear functions
- I.1 Characteristics of quadratic functions
- I.2 Complete a function table: quadratic functions
- I.3 Find a quadratic function
- I.4 Graph a quadratic function
- I.5 Match quadratic functions and graphs
- I.6 Solve a quadratic equation using square roots
- I.7 Solve a quadratic equation using the zero product property
- I.8 Solve a quadratic equation by factorising
- I.9 Complete the square
- I.10 Solve a quadratic equation using the quadratic formula
- I.11 Using the discriminant
- J.7 Solve polynomial equations
- J.13 Match polynomials and graphs
- O.1 Rational functions: asymptotes and excluded values
- O.7 Solve rational equations
- P.1 Add and subtract functions
- P.2 Multiply functions
- P.3 Divide functions
- P.4 Composition of linear functions: find a value
- P.5 Composition of linear functions: find an equation
- P.6 Composition of linear and quadratic functions: find a value
- P.7 Composition of linear and quadratic functions: find an equation
- S.1 Find properties of sine functions
- S.5 Find properties of cosine functions
- T.1 Complementary angle identities
- T.2 Symmetry and periodicity of trigonometric functions
- T.3 Trigonometric identities I
- T.4 Trigonometric identities II
- U.4 Rate of travel: word problems
- U.5 Weighted averages: word problems
- X.1 Find limits using graphs
- X.2 Find one-sided limits using graphs
- X.3 Determine if a limit exists
- Y.1 Find limits using addition, subtraction and multiplication laws
- Y.2 Find limits using the division law
- Y.3 Find limits using power and root laws
- Y.4 Find limits using limit laws
- Y.5 Find limits of polynomials and rational functions
- Y.6 Find limits involving factorisation and rationalisation
- Z.1 Find limits at vertical asymptotes using graphs
- Z.2 Determine end behaviour using graphs
- Z.3 Determine end behaviour of polynomial and rational functions
- AA.1 Find the limit at a vertical asymptote of a rational function I
- AA.2 Find the limit at a vertical asymptote of a rational function II
- BB.1 Identify graphs of continuous functions
- BB.2 Determine continuity using graphs
- BB.3 Determine one-sided continuity using graphs
- BB.4 Find and analyse points of discontinuity using graphs
- BB.5 Determine continuity on an interval using graphs
- BB.6 Determine the continuity of a piecewise function at a point
- BB.7 Make a piecewise function continuous
- BB.8 Intermediate Value Theorem
- DD.1 Sum and difference rules
- DD.2 Product rule
- DD.3 Quotient rule
- DD.4 Power rule I
- DD.5 Power rule II
- DD.6 Find derivatives of polynomials
- DD.7 Find derivatives of rational functions
- DD.8 Find derivatives of trigonometric functions I
- DD.9 Find derivatives of trigonometric functions II
- DD.10 Chain rule
- DD.11 Find derivatives of radical functions
- DD.12 Find derivatives using the product rule
- DD.13 Find derivatives using the quotient rule I
- DD.14 Find derivatives using the quotient rule II
- DD.15 Find derivatives using the chain rule I
- DD.16 Find derivatives using the chain rule II

## Class XII skills

- A.1 Domain and range
- A.2 Identify functions
- A.3 Find the slope of a linear function
- A.4 Graph a linear function
- A.5 Write the equation of a linear function
- A.6 Evaluate functions
- A.7 Find values using function graphs
- A.8 Complete a table for a function graph
- A.9 Add, subtract, multiply and divide functions
- A.10 Composition of functions
- A.11 Identify inverse functions
- A.12 Find values of inverse functions from tables
- A.13 Find values of inverse functions from graphs
- A.14 Find inverse functions and relations
- B.1 Translations of functions
- B.2 Reflections of functions
- B.3 Dilations of functions
- B.4 Transformations of functions
- B.5 Function transformation rules
- B.6 Describe function transformations
- C.11 Match polynomials and graphs
- C.13 Solve equations with sums and differences of cubes
- C.15 Solve equations using a quadratic pattern
- H.1 Find properties of sine functions
- H.5 Find properties of cosine functions
- I.1 Complementary angle identities
- I.2 Symmetry and periodicity of trigonometric functions
- I.3 Trigonometric identities I
- I.4 Trigonometric identities II
- Q.1 Identify graphs of continuous functions
- Q.2 Determine continuity using graphs
- Q.3 Determine one-sided continuity using graphs
- Q.4 Find and analyse points of discontinuity using graphs
- Q.5 Determine continuity on an interval using graphs
- Q.6 Determine the continuity of a piecewise function at a point
- Q.7 Make a piecewise function continuous
- Q.8 Intermediate Value Theorem
- S.1 Sum and difference rules
- S.2 Product rule
- S.3 Quotient rule
- S.4 Power rule I
- S.5 Power rule II
- S.6 Chain rule
- S.7 Inverse function rule
- T.1 Find derivatives of polynomials
- T.2 Find derivatives of rational functions
- T.3 Find derivatives of trigonometric functions I
- T.4 Find derivatives of trigonometric functions II
- T.5 Find derivatives of exponential functions
- T.6 Find derivatives of logarithmic functions
- T.7 Find derivatives of inverse trigonometric functions
- T.8 Find derivatives of radical functions
- T.9 Find derivatives using the product rule I
- T.10 Find derivatives using the product rule II
- T.11 Find derivatives using the quotient rule I
- T.12 Find derivatives using the quotient rule II
- T.13 Find derivatives using the chain rule I
- T.14 Find derivatives using the chain rule II
- U.1 Find derivatives using implicit differentiation
- U.2 Find tangent lines using implicit differentiation
- U.3 Find derivatives using logarithmic differentiation
- V.1 Find higher derivatives of polynomials
- V.2 Find higher derivatives of rational and radical functions
- V.3 Find second derivatives of trigonometric, exponential and logarithmic functions
- V.4 Find higher derivatives using patterns
- Y.3 Find the equation of a regression line