# Functions and equations

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

## Second-grade skills

- E.7Addition input/output tables - sums to 20
- F.7Subtraction input/output tables - up to 18
- G.7Addition input/output tables - up to two digits
- H.7Subtraction input/output tables - up to two digits
- I.3Addition input/output tables - up to three digits
- J.3Subtraction input/output tables - up to three digits
- L.6Input/output tables - write the rule - up to 20
- L.11Input/output tables - write the rule - up to 100

## Third-grade skills

- C.2Addition input/output tables - up to three digits
- C.10Addition input/output tables - four or more digits
- D.2Subtraction input/output tables - up to three digits
- D.8Subtraction input/output tables - four or more digits
- E.14Multiplication input/output tables
- G.14Division input/output tables
- K.1Identify equations
- K.2Solve for the variable - addition and subtraction only
- K.3Solve for the variable - with multiplication and division
- K.4Write variable equations to represent word problems

## Fifth-grade skills

- F.22Multiplication input/output tables
- N.11Multiply fractions by whole numbers: input/output tables
- Q.4Write equations to represent word problems
- Q.5Solve equations I
- Q.6Solve equations II
- Q.7Function tables
- Q.8Convert graphs to input/output tables
- Q.9Write linear functions
- Q.10Graph linear functions
- Q.11Evaluate functions

## Sixth-grade skills

- I.9Add and subtract integers - input/output tables
- P.3Solve word problems involving two-variable equations
- P.5Does x satisfy the equation?
- P.6Solve one-step equations with whole numbers
- P.7Solve one-step equations involving decimals, fractions, and mixed numbers
- P.9Solve two-step equations
- P.10Complete a function table
- P.11Write linear functions
- P.12Linear function word problems
- P.14Solve equations involving integers
- P.15Does (x, y) satisfy an equation?
- P.20Solve equations involving like terms
- Q.5Find points on a function graph
- Q.6Write the linear function shown in a graph
- Q.7Graph linear functions
- Q.9Identify linear and nonlinear functions

## Seventh-grade skills

- V.1Does x satisfy the equation?
- V.2Model and solve equations using algebra tiles
- V.3Solve one-step linear equations
- V.4Solve two-step linear equations
- V.5Solve equations involving like terms
- X.1Identify proportional relationships
- X.2Find the constant of variation
- X.3Does (x, y) satisfy the equation?
- X.4Evaluate a function
- X.5Complete a function table
- X.6Write a rule for a function table
- X.7Find points on a function graph
- X.8Graph a line from a function table
- X.9Graph a line from an equation
- X.10Linear function word problems
- X.11Find the slope of a graph
- X.12Find slope from two points
- X.14Find slope from an equation
- X.15Graph a line using slope
- X.16Identify linear and nonlinear functions
- Y.4Solve equations using properties

## Eighth-grade skills

- I.1Identify proportional relationships
- I.2Find the constant of variation: graphs
- I.3Find the constant of variation: word problems
- I.4Graph a proportional relationship
- I.5Write an equation for a proportional relationship
- I.6Proportional relationships: word problems
- U.1Does x satisfy the equation?
- U.2Model and solve equations using algebra tiles
- U.3Write and solve equations that represent diagrams
- U.4Solve one-step linear equations
- U.5Solve two-step linear equations
- U.6Solve equations involving squares and square roots
- U.7Solve multi-step equations
- U.8Solve equations involving like terms
- U.9Identities and equations with no solutions
- V.1Does (x, y) satisfy the linear equation?
- V.2Evaluate a linear function
- V.3Complete a function table
- V.4Write a rule for a function table
- V.5Find points on a function graph
- V.6Graph a line from a function table
- V.7Graph a line from an equation
- V.8Linear function word problems
- V.9Find the slope of a graph
- V.10Find slope from two points
- V.12Find slope from an equation
- V.13Graph a line using slope
- V.14Slopes of parallel and perpendicular lines
- W.1Identify linear and nonlinear functions
- W.2Does (x, y) satisfy a nonlinear equation?
- W.3Evaluate a nonlinear function
- Y.1Is (x, y) a solution to the system of equations?
- Y.2Solve a system of equations by graphing
- Y.3Solve a system of equations by graphing: word problems
- Y.4Find the number of solutions to a system of equations by graphing
- Y.5Find the number of solutions to a system of equations
- Y.6Classify a system of equations by graphing
- Y.7Classify a system of equations
- Y.8Solve a system of equations using substitution
- Y.9Solve a system of equations using substitution: word problems
- Y.10Solve a system of equations using elimination
- Y.11Solve a system of equations using elimination: word problems

## Algebra 1 skills

- I.3Write variable equations
- I.4Does x satisfy the equation?
- I.5Find solutions from a replacement set
- I.6Solve equations using order of operations
- J.1Model and solve equations using algebra tiles
- J.2Write and solve equations that represent diagrams
- J.3Solve one-step linear equations
- J.4Solve two-step linear equations
- J.5Solve advanced linear equations
- J.6Solve equations with variables on both sides
- J.7Identities and equations with no solutions
- J.8Solve linear equations: word problems
- J.9Solve linear equations: mixed review
- L.1Solve absolute value equations
- L.2Graph solutions to absolute value equations
- L.3Solve absolute value inequalities
- L.4Graph solutions to absolute value inequalities
- N.7Scatter plots: line of best fit
- O.4Rate of travel: word problems
- O.5Weighted averages: word problems
- Q.1Relations: convert between tables, graphs, mappings, and lists of points
- Q.2Domain and range of relations
- Q.3Identify independent and dependent variables
- Q.4Identify functions
- Q.5Identify functions: vertical line test
- Q.6Complete a function table
- Q.7Evaluate function rules I
- Q.8Evaluate function rules II
- Q.9Graph a function
- Q.10Write a function rule: word problems
- Q.11Find points on a function graph
- Q.12Write a rule for a function table
- R.1Identify proportional relationships
- R.2Find the constant of variation
- R.3Graph a proportional relationship
- R.4Write direct variation equations
- R.5Write and solve direct variation equations
- R.6Identify direct variation and inverse variation
- R.7Write inverse variation equations
- R.8Write and solve inverse variation equations
- S.1Identify linear functions
- S.2Find the slope of a graph
- S.3Find slope from two points
- S.5Slope-intercept form: find slope and y-intercept
- S.6Slope-intercept form: graph an equation
- S.7Slope-intercept form: write an equation from a graph
- S.8Slope-intercept form: write an equation
- S.9Linear equations: solve for y
- S.10Linear function word problems
- S.11Write equations in standard form
- S.12Standard form: find x- and y-intercepts
- S.13Standard form: graph an equation
- S.14Equations of horizontal and vertical lines
- S.15Graph a horizontal or vertical line
- S.16Point-slope form: graph an equation
- S.17Point-slope form: write an equation from a graph
- S.18Point-slope form: write an equation
- S.19Slopes of parallel and perpendicular lines
- S.20Write an equation for a parallel or perpendicular line
- U.1Is (x, y) a solution to the system of equations?
- U.2Solve a system of equations by graphing
- U.3Solve a system of equations by graphing: word problems
- U.4Find the number of solutions to a system of equations by graphing
- U.5Find the number of solutions to a system of equations
- U.6Classify a system of equations by graphing
- U.7Classify a system of equations
- U.8Solve a system of equations using substitution
- U.9Solve a system of equations using substitution: word problems
- U.10Solve a system of equations using elimination
- U.11Solve a system of equations using elimination: word problems
- U.12Solve a system of equations using augmented matrices
- U.13Solve a system of equations using augmented matrices: word problems
- U.14Solve a system of equations using any method
- U.15Solve a system of equations using any method: word problems
- X.1Evaluate an exponential function
- X.2Match exponential functions and graphs
- BB.1Characteristics of quadratic functions
- BB.2Complete a function table: quadratic functions
- BB.3Transformations of quadratic functions
- BB.4Solve a quadratic equation using square roots
- BB.5Solve an equation using the zero product property
- BB.6Solve a quadratic equation by factoring
- BB.8Solve a quadratic equation by completing the square
- BB.9Solve a quadratic equation using the quadratic formula
- BB.10Using the discriminant
- BB.11Systems of linear and quadratic equations
- CC.1Identify linear, quadratic, and exponential functions from graphs
- CC.2Identify linear, quadratic, and exponential functions from tables
- CC.3Write linear, quadratic, and exponential functions
- CC.4Linear functions over unit intervals
- CC.5Exponential functions over unit intervals
- CC.6Describe linear and exponential growth and decay
- DD.1Complete a function table: absolute value functions
- DD.2Domain and range of absolute value functions
- DD.3Graph an absolute value function
- DD.4Transformations of absolute value functions
- FF.1Evaluate a radical function
- FF.2Domain and range of radical functions
- FF.3Solve radical equations I
- FF.4Solve radical equations II
- GG.1Rational functions: asymptotes and excluded values
- GG.7Solve rational equations

## Algebra 2 skills

- B.1Solve linear equations
- B.2Solve linear equations: word problems
- B.3Solve absolute value equations
- B.4Graph solutions to absolute value equations
- C.8Graph solutions to absolute value inequalities
- D.1Domain and range
- D.2Identify functions
- D.3Evaluate functions
- D.4Find the slope of a linear function
- D.5Graph a linear function
- D.6Write the equation of a linear function
- D.7Linear functions over unit intervals
- E.1Is (x, y) a solution to the system of equations?
- E.2Solve a system of equations by graphing
- E.3Solve a system of equations by graphing: word problems
- E.7Solve a system of equations using substitution: word problems
- E.8Solve a system of equations using elimination
- E.9Solve a system of equations using elimination: word problems
- E.10Solve a system of equations using any method
- E.11Solve a system of equations using any method: word problems
- E.12Solve a system of equations in three variables using substitution
- E.13Solve a system of equations in three variables using elimination
- E.14Determine the number of solutions to a system of equations in three variables
- E.15Solve a non-linear system of equations
- G.18Solve a system of equations using augmented matrices
- G.19Solve a system of equations using augmented matrices: word problems
- J.1Characteristics of quadratic functions
- J.2Complete a function table: quadratic functions
- J.3Find a quadratic function
- J.4Graph a quadratic function
- J.5Match quadratic functions and graphs
- J.6Solve a quadratic equation using square roots
- J.7Solve a quadratic equation using the zero product property
- J.8Solve a quadratic equation by factoring
- J.9Complete the square
- J.10Solve a quadratic equation using the quadratic formula
- J.11Using the discriminant
- K.7Solve polynomial equations
- K.14Match polynomials and graphs
- L.12Domain and range of radical functions
- L.13Solve radical equations
- N.1Rational functions: asymptotes and excluded values
- N.7Solve rational equations
- O.1Add and subtract functions
- O.2Multiply functions
- O.3Divide functions
- O.4Composition of linear functions
- O.5Composition of linear and quadratic functions
- O.6Identify inverse functions
- O.7Find values of inverse functions from tables
- O.8Find values of inverse functions from graphs
- O.9Find inverse functions and relations
- P.1Translations of functions
- P.2Reflections of functions
- P.3Dilations of functions
- P.4Transformations of functions
- P.5Function transformation rules
- P.6Describe function transformations
- S.10Exponential functions over unit intervals
- S.11Describe linear and exponential growth and decay
- Z.1Find properties of sine functions
- Z.5Find properties of cosine functions
- AA.1Complementary angles
- AA.2Symmetry and periodicity of trigonometric functions
- AA.3Trigonometric identities I
- AA.4Trigonometric identities II

## Precalculus skills

- A.1Domain and range
- A.2Identify functions
- A.3Linear functions
- A.4Linear functions over unit intervals
- A.5Evaluate functions
- A.6Add, subtract, multiply, and divide functions
- A.7Composition of functions
- A.8Identify inverse functions
- A.9Find values of inverse functions from tables
- A.10Find values of inverse functions from graphs
- A.11Find inverse functions and relations
- B.1Translations of functions
- B.2Reflections of functions
- B.3Dilations of functions
- B.4Transformations of functions
- B.5Function transformation rules
- B.6Describe function transformations
- C.1Characteristics of quadratic functions
- C.2Find the maximum or minimum value of a quadratic function
- C.3Graph a quadratic function
- C.4Match quadratic functions and graphs
- C.5Solve a quadratic equation using square roots
- C.6Solve a quadratic equation by factoring
- C.7Solve a quadratic equation by completing the square
- C.8Solve a quadratic equation using the quadratic formula
- C.9Using the discriminant
- D.11Match polynomials and graphs
- D.13Solve equations with sums and differences of cubes
- D.15Solve equations using a quadratic pattern
- E.1Rational functions: asymptotes and excluded values
- E.2Solve rational equations
- E.3Check whether two rational functions are inverses
- F.14Exponential functions over unit intervals
- F.15Describe linear and exponential growth and decay
- G.1Domain and range of radical functions
- G.2Solve radical equations
- I.1Solve a system of equations by graphing
- I.2Solve a system of equations by graphing: word problems
- I.3Classify a system of equations
- I.4Solve a system of equations using substitution
- I.5Solve a system of equations using substitution: word problems
- I.6Solve a system of equations using elimination
- I.7Solve a system of equations using elimination: word problems
- I.8Solve a system of equations in three variables using substitution
- I.9Solve a system of equations in three variables using elimination
- I.10Determine the number of solutions to a system of equations in three variables
- M.1Find properties of sine functions
- M.5Find properties of cosine functions
- N.1Complementary angles
- N.2Symmetry and periodicity of trigonometric functions
- N.3Trigonometric identities I
- N.4Trigonometric identities II
- X.3Linear regression