Las Vegas Math Tutor
Las Vegas Math Tutor

ALGEBRA 1

ALGEBRA 1

Numbers

  1. A.1Compare and order rational numbers
  2. A.2Absolute value and opposites
  3. A.3Number lines
  4. A.4Convert between decimals and fractions
  5. A.5Convert between repeating decimals and fractions
  6. A.6Square roots
  7. A.7Cube roots
  8. A.8Classify numbers

Operations

  1. B.1Add, subtract, multiply, and divide integers
  2. B.2Evaluate numerical expressions involving integers
  3. B.3Evaluate variable expressions involving integers
  4. B.4Add and subtract rational numbers
  5. B.5Multiply and divide rational numbers
  6. B.6Evaluate numerical expressions involving rational numbers
  7. B.7Evaluate variable expressions involving rational numbers

Ratios, rates, and proportions

  1. C.1Identify equivalent ratios
  2. C.2Write an equivalent ratio
  3. C.3Unit rates
  4. C.4Unit prices
  5. C.5Solve proportions
  6. C.6Solve proportions: word problems
  7. C.7Scale drawings: word problems

Percents

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

Measurement

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

Geometry

  1. F.1Perimeter
  2. F.2Area
  3. F.3Area and perimeter: word problems
  4. F.4Volume
  5. F.5Surface area
  6. F.6Similar figures: side lengths and angle measures
  7. F.7Similar triangles and indirect measurement
  8. F.8Dilations and scale factors
  9. F.9Area and perimeter of similar figures
  10. F.10Area between two shapes
  11. F.11Similar solids
  12. F.12Volume and surface area of similar solids
  13. F.13Perimeter, area, and volume: changes in scale
  14. F.14Pythagorean theorem
  15. F.15Pythagorean theorem: word problems
  16. F.16Converse of the Pythagorean theorem: is it a right triangle?
  17. F.17Special right triangles

Coordinate plane

  1. G.1Coordinate plane review
  2. G.2Midpoints
  3. G.3Distance between two points

Properties

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

Variable expressions and equations

  1. I.1Write variable expressions
  2. I.2Simplify variable expressions involving like terms and the distributive property
  3. I.3Identify equivalent linear expressions
  4. I.4Write variable equations
  5. I.5Does x satisfy the equation?
  6. I.6Which x satisfies an equation?
  7. I.7Solve equations using order of operations
  8. I.8Rearrange multi-variable equations

Solve equations

  1. J.1Model and solve equations using algebra tiles
  2. J.2Write and solve equations that represent diagrams
  3. J.3Solve one-step linear equations
  4. J.4Solve two-step linear equations
  5. J.5Solve advanced linear equations
  6. J.6Solve equations with variables on both sides
  7. J.7Solve equations: complete the solution
  8. J.8Find the number of solutions
  9. J.9Create equations with no solutions or infinitely many solutions
  10. J.10Solve linear equations: word problems
  11. J.11Solve linear equations: mixed review

Single-variable inequalities

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

Absolute value equations and inequalities

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

Matrices

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

Data and graphs

  1. N.1Interpret bar graphs, line graphs, and histograms
  2. N.2Create bar graphs, line graphs, and histograms
  3. N.3Circle graphs
  4. N.4Interpret stem-and-leaf plots
  5. N.5Interpret box-and-whisker plots

Problem solving

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

Number sequences

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

Relations and functions

  1. Q.1Relations: convert between tables, graphs, mappings, and lists of points
  2. Q.2Domain and range of relations
  3. Q.3Identify independent and dependent variables
  4. Q.4Identify functions
  5. Q.5Identify functions: vertical line test
  6. Q.6Find values using function graphs
  7. Q.7Evaluate a function
  8. Q.8Evaluate a function: plug in an expression
  9. Q.9Complete a function table from a graph
  10. Q.10Complete a function table from an equation
  11. Q.11Interpret the graph of a function: word problems

Direct and inverse variation

  1. R.1Identify proportional relationships
  2. R.2Find the constant of variation
  3. R.3Graph a proportional relationship
  4. R.4Write direct variation equations
  5. R.5Write and solve direct variation equations
  6. R.6Identify direct variation and inverse variation
  7. R.7Write inverse variation equations
  8. R.8Write and solve inverse variation equations

Linear functions

  1. S.1Identify linear functions
  2. S.2Find the slope of a graph
  3. S.3Find the slope from two points
  4. S.4Find a missing coordinate using slope
  5. S.5Slope-intercept form: find the slope and y-intercept
  6. S.6Slope-intercept form: graph an equation
  7. S.7Slope-intercept form: write an equation from a graph
  8. S.8Slope-intercept form: write an equation
  9. S.9Slope-intercept form: write an equation from a table
  10. S.10Slope-intercept form: write an equation from a word problem
  11. S.11Linear equations: solve for y
  12. S.12Write linear functions to solve word problems
  13. S.13Complete a table and graph a linear function
  14. S.14Compare linear functions: graphs, tables, and equations
  15. S.15Write equations in standard form
  16. S.16Standard form: find x- and y-intercepts
  17. S.17Standard form: graph an equation
  18. S.18Equations of horizontal and vertical lines
  19. S.19Graph a horizontal or vertical line
  20. S.20Point-slope form: graph an equation
  21. S.21Point-slope form: write an equation
  22. S.22Point-slope form: write an equation from a graph
  23. S.23Slopes of parallel and perpendicular lines
  24. S.24Write an equation for a parallel or perpendicular line
  25. S.25Transformations of linear functions

Linear inequalities

  1. T.1Does (x, y) satisfy the inequality?
  2. T.2Linear inequalities: solve for y
  3. T.3Graph a two-variable linear inequality
  4. T.4Linear inequalities: word problems
  5. T.5Is (x, y) a solution to the system of inequalities?
  6. T.6Solve systems of linear inequalities by graphing

Systems of linear equations

  1. U.1Is (x, y) a solution to the system of equations?
  2. U.2Solve a system of equations by graphing
  3. U.3Solve a system of equations by graphing: word problems
  4. U.4Find the number of solutions to a system of equations by graphing
  5. U.5Find the number of solutions to a system of equations
  6. U.6Classify a system of equations by graphing
  7. U.7Classify a system of equations
  8. U.8Solve a system of equations using substitution
  9. U.9Solve a system of equations using substitution: word problems
  10. U.10Solve a system of equations using elimination
  11. U.11Solve a system of equations using elimination: word problems
  12. U.12Solve a system of equations using augmented matrices
  13. U.13Solve a system of equations using augmented matrices: word problems
  14. U.14Solve a system of equations using any method
  15. U.15Solve a system of equations using any method: word problems

Exponents

  1. V.1Exponents with integer bases
  2. V.2Exponents with decimal and fractional bases
  3. V.3Negative exponents
  4. V.4Multiplication with exponents
  5. V.5Division with exponents
  6. V.6Multiplication and division with exponents
  7. V.7Power rule
  8. V.8Evaluate expressions using properties of exponents
  9. V.9Identify equivalent expressions involving exponents
  10. V.10Evaluate integers raised to rational exponents

Scientific notation

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

Exponential functions

  1. X.1Evaluate an exponential function
  2. X.2Match exponential functions and graphs
  3. X.3Domain and range of exponential functions: graphs
  4. X.4Domain and range of exponential functions: equations
  5. X.5Exponential growth and decay: word problems

Monomials

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

Polynomials

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

Factoring

  1. AA.1GCF of monomials
  2. AA.2Factor out a monomial
  3. AA.3Factor quadratics using algebra tiles
  4. AA.4Factor quadratics with leading coefficient 1
  5. AA.5Factor quadratics with other leading coefficients
  6. AA.6Factor quadratics: special cases
  7. AA.7Factor by grouping
  8. AA.8Factor polynomials

Quadratic equations

  1. BB.1Characteristics of quadratic functions
  2. BB.2Complete a function table: quadratic functions
  3. BB.3Transformations of quadratic functions
  4. BB.4Graph quadratic functions in vertex form
  5. BB.5Solve a quadratic equation using square roots
  6. BB.6Solve a quadratic equation using the zero product property
  7. BB.7Solve a quadratic equation by factoring
  8. BB.8Complete the square
  9. BB.9Solve a quadratic equation by completing the square
  10. BB.10Solve a quadratic equation using the quadratic formula
  11. BB.11Using the discriminant
  12. BB.12Match quadratic functions and graphs
  13. BB.13Systems of linear and quadratic equations

Functions: linear, quadratic, exponential

  1. CC.1Identify linear, quadratic, and exponential functions from graphs
  2. CC.2Identify linear, quadratic, and exponential functions from tables
  3. CC.3Write linear, quadratic, and exponential functions
  4. CC.4Linear functions over unit intervals
  5. CC.5Exponential functions over unit intervals
  6. CC.6Describe linear and exponential growth and decay

Absolute value functions

  1. DD.1Complete a function table: absolute value functions
  2. DD.2Graph an absolute value function
  3. DD.3Domain and range of absolute value functions: graphs
  4. DD.4Domain and range of absolute value functions: equations
  5. DD.5Transformations of absolute value functions

Radical expressions

  1. EE.1Simplify radical expressions
  2. EE.2Simplify radical expressions involving fractions
  3. EE.3Multiply radical expressions
  4. EE.4Add and subtract radical expressions
  5. EE.5Simplify radical expressions using the distributive property
  6. EE.6Divide radical expressions
  7. EE.7Simplify radical expressions: mixed review

Radical functions and equations

  1. FF.1Evaluate a radical function
  2. FF.2Domain and range of radical functions: graphs
  3. FF.3Domain and range of radical functions: equations
  4. FF.4Solve radical equations I
  5. FF.5Solve radical equations II

Rational functions and expressions

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

Trigonometry

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

Logic

  1. II.1Identify hypotheses and conclusions
  2. II.2Counterexamples

Probability

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

Statistics

  1. KK.1Identify biased samples
  2. KK.2Mean, median, mode, and range
  3. KK.3Quartiles
  4. KK.4Identify an outlier
  5. KK.5Identify an outlier and describe the effect of removing it
  6. KK.6Mean absolute deviation
  7. KK.7Variance and standard deviation
  8. KK.8Interpret a scatter plot
  9. KK.9Outliers in scatter plots
  10. KK.10Match correlation coefficients to scatter plots
  11. KK.11Calculate correlation coefficients
  12. KK.12Scatter plots: line of best fit
  13. KK.13Find the equation of a regression line
  14. KK.14Interpret regression lines
  15. KK.15Analyze a regression line of a data set