Algebra 1

Here is a list of all of the skills students learn in Algebra 1! These skills are organized into categories, 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!

Numbers

Operations

Ratios and proportions

Percents

Measurement

Geometry

Coordinate graphs

Properties

Variable expressions and equations

Solve equations

Single-variable inequalities

Absolute value equations and inequalities

Matrices

Data and graphs

Problem solving

Number sequences

Relations and functions

Direct and inverse variation

Linear functions

Linear inequalities

Systems of linear equations

Exponents

Scientific notation

Exponential functions

Monomials

Polynomials

Factoring

Quadratic equations

Functions: linear, quadratic, exponential

Absolute value functions

Radical expressions

Radical functions and equations

Rational functions and expressions

Trigonometry

Logic

Probability

Statistics

Here is a list of all of the skills students learn in Algebra 1! These skills are organized into categories, 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!

Numbers

- A.1Classify numbers
- A.2Compare and order rational numbers
- A.3Absolute value and opposites
- A.4Number lines
- A.5Convert between decimals and fractions
- A.6Square roots
- A.7Cube roots

Operations

- B.1Add, subtract, multiply, and divide integers
- B.2Order of operations with integers
- B.3Evaluate variable expressions involving integers
- B.4Add and subtract rational numbers
- B.5Multiply and divide rational numbers
- B.6Order of operations with rational numbers
- B.7Evaluate variable expressions involving rational numbers

Ratios and proportions

- C.1Identify equivalent ratios
- C.2Equivalent ratios: fill in the missing number
- C.3Unit rates
- C.4Unit prices
- C.5Solve proportions
- C.6Solve proportions: word problems
- C.7Scale drawings and scale factors

Percents

- D.1Convert between percents, fractions, and decimals
- D.2Solve percent equations
- D.3Percent word problems
- D.4Percent of change
- D.5Percent of change: word problems
- D.6Percent of a number: tax, discount, and more
- D.7Find the percent: tax, discount, and more
- D.8Multi-step problems with percents

Measurement

- E.1Convert rates and measurements: customary units
- E.2Convert rates and measurements: metric units
- E.3Unit prices with unit conversions
- E.4Precision
- E.5Greatest possible error
- E.6Minimum and maximum area and volume
- E.7Percent error
- E.8Percent error: area and volume

Geometry

- F.1Perimeter
- F.2Area
- F.3Volume
- F.4Surface area
- F.5Similar figures: side lengths and angle measures
- F.6Similar triangles and indirect measurement
- F.7Dilations and scale factors
- F.8Area and perimeter of similar figures
- F.9Area between two shapes
- F.10Similar solids
- F.11Volume and surface area of similar solids
- F.12Perimeter, area, and volume: changes in scale
- F.13Pythagorean theorem
- F.14Pythagorean theorem: word problems
- F.15Converse of the Pythagorean theorem: is it a right triangle?
- F.16Special right triangles

Coordinate graphs

Properties

- H.1Properties of addition and multiplication
- H.2Distributive property
- H.3Simplify variable expressions using properties
- H.4Properties of equality

Variable expressions and equations

- I.1Write variable expressions
- I.2Simplify variable expressions involving like terms and the distributive property
- I.3Write variable equations
- I.4Does x satisfy the equation?
- I.5Find solutions from a replacement set
- I.6Solve equations using order of operations

Solve equations

- 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

Single-variable inequalities

- K.1Graph inequalities
- K.2Write inequalities from graphs
- K.3Identify solutions to inequalities
- K.4Solve one-step linear inequalities: addition and subtraction
- K.5Solve one-step linear inequalities: multiplication and division
- K.6Solve one-step linear inequalities
- K.7Graph solutions to one-step linear inequalities
- K.8Solve two-step linear inequalities
- K.9Graph solutions to two-step linear inequalities
- K.10Solve advanced linear inequalities
- K.11Graph solutions to advanced linear inequalities
- K.12Graph compound inequalities
- K.13Write compound inequalities from graphs
- K.14Solve compound inequalities
- K.15Graph solutions to compound inequalities

Absolute value equations and inequalities

- L.1Solve absolute value equations
- L.2Graph solutions to absolute value equations
- L.3Solve absolute value inequalities
- L.4Graph solutions to absolute value inequalities

Matrices

- M.1Matrix vocabulary
- M.2Matrix operation rules
- M.3Add and subtract matrices
- M.4Multiply a matrix by a scalar
- M.5Linear combinations of matrices
- M.6Multiply two matrices

Data and graphs

- N.1Interpret bar graphs, line graphs, and histograms
- N.2Create bar graphs, line graphs, and histograms
- N.3Circle graphs
- N.4Interpret stem-and-leaf plots
- N.5Interpret box-and-whisker plots
- N.6Interpret a scatter plot
- N.7Scatter plots: line of best fit

Problem solving

- O.1Word problems: mixed review
- O.2Word problems with money
- O.3Consecutive integer problems
- O.4Rate of travel: word problems
- O.5Weighted averages: word problems

Number sequences

- P.1Identify arithmetic and geometric sequences
- P.2Arithmetic sequences
- P.3Geometric sequences
- P.4Evaluate variable expressions for number sequences
- P.5Write variable expressions for arithmetic sequences
- P.6Write variable expressions for geometric sequences
- P.7Number sequences: mixed review

Relations and functions

- 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

Direct and inverse variation

- 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

Linear functions

- S.1Identify linear functions
- S.2Find the slope of a graph
- S.3Find slope from two points
- S.4Slope-intercept form: find slope and y-intercept
- S.5Slope-intercept form: graph an equation
- S.6Slope-intercept form: write an equation from a graph
- S.7Slope-intercept form: write an equation
- S.8Linear equations: solve for y
- S.9Linear function word problems
- S.10Write equations in standard form
- S.11Standard form: find x- and y-intercepts
- S.12Standard form: graph an equation
- S.13Equations of horizontal and vertical lines
- S.14Graph a horizontal or vertical line
- S.15Point-slope form: graph an equation
- S.16Point-slope form: write an equation from a graph
- S.17Point-slope form: write an equation
- S.18Slopes of parallel and perpendicular lines
- S.19Write an equation for a parallel or perpendicular line

Linear inequalities

- T.1Does (x, y) satisfy the inequality?
- T.2Linear inequalities: solve for y
- T.3Graph a linear inequality in two variables
- T.4Linear inequalities: word problems
- T.5Is (x, y) a solution to the system of inequalities?

Systems of linear equations

- 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

Exponents

- V.1Exponents with integer bases
- V.2Exponents with decimal and fractional bases
- V.3Negative exponents
- V.4Multiplication with exponents
- V.5Division with exponents
- V.6Multiplication and division with exponents
- V.7Power rule
- V.8Simplify expressions involving exponents
- V.9Evaluate integers raised to rational exponents

Scientific notation

- W.1Convert between standard and scientific notation
- W.2Compare numbers written in scientific notation
- W.3Multiply numbers written in scientific notation
- W.4Divide numbers written in scientific notation

Exponential functions

- X.1Evaluate an exponential function
- X.2Match exponential functions and graphs
- X.3Exponential growth and decay: word problems

Monomials

- Y.1Identify monomials
- Y.2Multiply monomials
- Y.3Divide monomials
- Y.4Multiply and divide monomials
- Y.5Powers of monomials

Polynomials

- Z.1Polynomial vocabulary
- Z.2Model polynomials with algebra tiles
- Z.3Add and subtract polynomials using algebra tiles
- Z.4Add and subtract polynomials
- Z.5Add polynomials to find perimeter
- Z.6Multiply a polynomial by a monomial
- Z.7Multiply two polynomials using algebra tiles
- Z.8Multiply two binomials
- Z.9Multiply two binomials: special cases
- Z.10Multiply polynomials

Factoring

- AA.1GCF of monomials
- AA.2Factor out a monomial
- AA.3Factor quadratics with leading coefficient 1
- AA.4Factor quadratics with other leading coefficients
- AA.5Factor quadratics: special cases
- AA.6Factor by grouping
- AA.7Factor polynomials

Quadratic equations

- 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.7Complete the square
- 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

Functions: linear, quadratic, exponential

- 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

Absolute value functions

- 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

Radical expressions

- EE.1Simplify radical expressions
- EE.2Simplify radical expressions by rationalizing the denominator
- EE.3Multiply radical expressions
- EE.4Add and subtract radical expressions
- EE.5Simplify radical expressions using the distributive property
- EE.6Simplify radical expressions: mixed review

Radical functions and equations

- FF.1Evaluate a radical function
- FF.2Domain and range of radical functions
- FF.3Solve radical equations I
- FF.4Solve radical equations II

Rational functions and expressions

- GG.1Rational functions: asymptotes and excluded values
- GG.2Simplify complex fractions
- GG.3Simplify rational expressions
- GG.4Multiply and divide rational expressions
- GG.5Divide polynomials
- GG.6Add and subtract rational expressions
- GG.7Solve rational equations
- GG.8Evaluate rational expressions

Trigonometry

- HH.1Trigonometric ratios: sin, cos, and tan
- HH.2Find trigonometric ratios using a calculator
- HH.3Inverses of trigonometric functions
- HH.4Trigonometric ratios: find a side length
- HH.5Trigonometric ratios: find an angle measure
- HH.6Solve a right triangle

Logic

Probability

- JJ.1Theoretical probability
- JJ.2Experimental probability
- JJ.3Compound events: find the number of outcomes
- JJ.4Identify independent and dependent events
- JJ.5Probability of independent and dependent events
- JJ.6Permutations
- JJ.7Counting principle
- JJ.8Permutation and combination notation

Statistics