IXL Skill Alignment
Algebra 1 alignment for Pearson Mathematics (Savvas):Common Core Edition
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Chapter 1Foundations for Algebra
Textbook section IXL skills
1.1: Variables and Expressions 1. Write variable expressions D7K
2. Write variable expressions: word problems 8UK
1.2: Order of Operations and EvaluatingExpressions
1. Evaluate exponents with positive rationalbases S5C
2. Evaluate numerical expressions involving wholenumbers ZSM
3. Evaluate variable expressions involving wholenumbers and decimals 8AY
1.3: Real Numbers and the Number Line 1. Square roots GGY
2. Classify numbers RB8
3. Compare and order rational numbers ALW
1.4: Properties of Real Numbers 1. Properties of addition and multiplication PBK
2. Simplify variable expressions usingproperties VCL
1.5: Adding and Subtracting Real Numbers 1. Add and subtract integers 8A2
2. Add and subtract rational numbers J8R
Also consider:• Absolute value and opposites KGR
1.6: Multiplying and Dividing Real Numbers 1. Multiply and divide integers QH8
2. Multiply and divide rational numbers H6L
3. Positive and negative square roots VUL
Also consider:• Classify rational and irrational numbers 3S8
1.7: The Distributive Property 1. Distributive property BHL
2. Simplify variable expressions involving liketerms and the distributive property ZXX
Algebra 1
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1.8: An Introduction to Equations 1. Which x satisfies an equation? YTT
Also consider:• Does x satisfy the equation? JPC
1.9: Patterns, Equations, and Graphs 1. Does (x, y) satisfy the equation? SFJ
2. Complete a table for a linear equation 5S6
Also consider:• Coordinate plane review H6E
Algebra 1
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Chapter 2Solving Equations
Textbook section IXL skills
2.1: Solving One-Step Equations 1. Solve one-step linear equations TXJ
2. Solve one-step linear equations: wordproblems UXX
Also consider:• Properties of equality H8Q
2.2: Solving Two-Step Equations 1. Solve two-step linear equations QAK
• Coming soon: Solve two-step linear equations:word problems
Also consider:• Model and solve equations using algebra
tiles GRH
2.3: Solving Multi-Step Equations 1. Solve advanced linear equations 28N
2.4: Solving Equations with Variables on Both Sides 1. Solve equations with variables on bothsides 7S7
2. Find the number of solutions KBP
Also consider:• Solve equations: complete the solution EVP
• Create equations with no solutions or infinitelymany solutions PUK
2.5: Literal Equations and Formulas 1. Rearrange multi-variable equations WSJ
2.6: Ratios, Rates, and Conversions 1. Convert rates and measurements LG6
2. Convert between customary and metricsystems KQ9
3. Multi-step problems with unit conversions EHV
Also consider:• Unit rates 8FZ
• Unit prices with unit conversions LT6
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2.7: Solving Proportions 1. Solve proportions 2ZL
2. Solve proportions: word problems 8ES
2.8: Proportions and Similar Figures 1. Similar figures: side lengths and anglemeasures EJ2
2. Scale drawings: word problems 8B7
2.9: Percents 1. Solve percent equations 39N
2. Simple interest Q8G
3. Percent of a number: tax, discount, andmore SKZ
Also consider:• Percent word problems BLW
2.1: Change Expressed as a Percent 1. Percent of change GRG
2. Percent of change: word problems 59V
3. Percent error: area and volume XVT
Also consider:• Percent of change: find the original amount word
problems 7UW
• Greatest possible error TZC
• Percent error LNU
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Chapter 3Solving Inequalities
Textbook section IXL skills
3.1: Inequalities and Their Graphs 1. Identify solutions to inequalities 5UE
2. Graph inequalities H68
3. Write inequalities from graphs SEK
3.2: Solving Inequalities Using Addition orSubtraction
1. Solve one-step linear inequalities: addition andsubtraction RZV
3.3: Solving Inequalities Using Multiplication orDivision
1. Solve one-step linear inequalities: multiplicationand division BRJ
Also consider:• Graph solutions to one-step linear
inequalities E2Z
3.4: Solving Multi-Step Inequalities 1. Solve two-step linear inequalities NPZ
2. Solve advanced linear inequalities 9K8
Also consider:• Graph solutions to two-step linear
inequalities XVM
• Graph solutions to advanced linearinequalities 5GC
3.5: Working With Sets • Coming soon: Sets, subsets, and complements
• Coming soon: Set-builder notation
3.6: Compound Inequalities 1. Solve compound inequalities GXA
2. Graph solutions to compound inequalities LHX
• Coming soon: Interval notation
Also consider:• Graph compound inequalities BQX
• Write compound inequalities from graphs 6UV
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3.7: Absolute Value Equations and Inequalities 1. Solve absolute value equations 9LF
2. Solve absolute value inequalities HXH
3. Graph solutions to absolute valueinequalities NE9
Also consider:• Graph solutions to absolute value equations KXA
3.8: Unions and Intersections of Sets • Coming soon: Unions and intersections of sets
Checkpoint opportunity 1. Checkpoint: Solve linear equations andinequalities VYL
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Chapter 4An Introduction to Functions
Textbook section IXL skills
4.1: Using Graphs to Relate Two Quantities • Coming soon: Interpret the graph of a function:word problems
• Coming soon: Graph relationships: wordproblems
4.2: Patterns and Linear Functions 1. Write a linear function from a table KCC
4.3: Patterns and Nonlinear Functions 1. Identify linear functions from tables F5G
2. Identify linear and nonlinear functions fromgraphs QSU
4.4: Graphing a Function Rule 1. Graph a linear function 2ZW
2. Complete a function table from an equation TGE
4.5: Writing a Function Rule 1. Write linear functions: word problems 9RQ
4.6: Formalizing Relations and Functions 1. Domain and range of relations 2CG
2. Identify functions: vertical line test HLX
3. Evaluate a function R96
Also consider:• Identify functions VLL
• Relations: convert between tables, graphs,mappings, and lists of points RBG
4.7: Arithmetic Sequences 1. Write a recursive formula: arithmeticsequences QYM
2. Convert a recursive formula to an explicitformula: arithmetic sequences J9J
3. Convert an explicit formula to a recursiveformula: arithmetic sequences ZD5
Also consider:• Arithmetic sequences ALG
• Write variable expressions for arithmeticsequences 5VF
Algebra 1
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Checkpoint opportunity • Coming soon: Checkpoint: Function concepts
Algebra 1
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Chapter 5Linear Functions
Textbook section IXL skills
5.1: Rate of Change and Slope 1. Rate of change: tables PLA
2. Find the slope of a graph E7D
3. Find the slope from two points MD5
Also consider:• Identify independent and dependent
variables N55
• Find a missing coordinate using slope 5C7
5.2: Direct Variation 1. Write direct variation equations Y6M
2. Write and solve direct variation equations GUW
3. Graph a proportional relationship DAQ
Also consider:• Identify proportional relationships PAV
• Find the constant of variation 9TD
5.3: Slope-Intercept Form 1. Slope-intercept form: write an equation A42
2. Slope-intercept form: write an equation from agraph 9GW
3. Slope-intercept form: graph an equation UWB
Also consider:• Slope-intercept form: find the slope and y-
intercept R5T
• Slope-intercept form: write an equation from aword problem HWM
• Linear equations: solve for y T5F
5.4: Point-Slope Form 1. Point-slope form: write an equation PPE
2. Point-slope form: graph an equation F8H
3. Point-slope form: write an equation from agraph LBX
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5.5: Standard Form 1. Standard form: graph an equation U6U
2. Equations of horizontal and vertical lines K8H
3. Write equations in standard form ESP
Also consider:• Standard form: find x- and y-intercepts 8SN
• Graph a horizontal or vertical line BTK
• Find the inverse of a function VME
5.6: Parallel and Perpendicular Lines 1. Slopes of parallel and perpendicular lines ADB
2. Write an equation for a parallel or perpendicularline 5SH
5.7: Scatter Plots and Trend Lines 1. Interpret a scatter plot 8BS
2. Scatter plots: line of best fit Y2S
3. Analyze a regression line of a data set 8D8
• Coming soon: Correlation and causation
Also consider:• Match correlation coefficients to scatter
plots FQ7
• Calculate correlation coefficients E8T
5.8: Graphing Absolute Value Functions 1. Graph an absolute value function TD2
2. Transformations of absolute value functions 9TC
Also consider:• Complete a function table: absolute value
functions 2DH
• Domain and range of absolute value functions:graphs NV7
• Domain and range of absolute value functions:equations FCY
Checkpoint opportunity 1. Checkpoint: Function transformations QKX
• Coming soon: Checkpoint: Average rate ofchange
• Coming soon: Checkpoint: Linear models
Algebra 1
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Chapter 6Systems of Equations and Inequalities
Textbook section IXL skills
6.1: Solving Systems by Graphing 1. Solve a system of equations by graphing TSS
2. Solve a system of equations by graphing: wordproblems BVB
3. Find the number of solutions to a system ofequations by graphing HJW
Also consider:• Is (x, y) a solution to the system of
equations? LRL
• Classify a system of equations by graphing T2D
6.2: Solving Systems Using Substitution 1. Solve a system of equations usingsubstitution 8P9
2. Solve a system of equations using substitution:word problems US9
6.3: Solving Systems Using Elimination 1. Solve a system of equations usingelimination A48
2. Solve a system of equations using elimination:word problems NHR
Also consider:• Find the number of solutions to a system of
equations ACN
• Solve a system of equations using augmentedmatrices P5Y
• Solve a system of equations using augmentedmatrices: word problems 9ZW
6.4: Applications of Linear Systems 1. Solve a system of equations using anymethod HLV
2. Solve a system of equations using any method:word problems GDQ
6.5: Linear Inequalities 1. Does (x, y) satisfy the inequality? N9L
2. Graph a two-variable linear inequality HHP
3. Linear inequalities: word problems ZAY
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Also consider:• Linear inequalities: solve for y UYU
6.6: Systems of Linear Inequalities 1. Is (x, y) a solution to the system ofinequalities? VFC
2. Solve systems of linear inequalities bygraphing SGH
Checkpoint opportunity 1. Checkpoint: Systems of equations andinequalities LQW
Algebra 1
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Chapter 7Exponents and Exponential Functions
Textbook section IXL skills
7.1: Zero and Negative Exponents 1. Exponents with integer bases EJ8
2. Negative exponents SCM
7.2: Multiplying Powers with the Same Base 1. Multiplication with exponents HQD
2. Evaluate integers raised to positive rationalexponents KT5
3. Multiply numbers written in scientificnotation TPB
Also consider:• Multiplication with rational exponents YG7
• Evaluate integers raised to rationalexponents PQH
7.3: More Multiplication Properties of Exponents 1. Power rule RWY
2. Power rule with rational exponents QF8
7.4: Division Properties of Exponents 1. Division with exponents 9SS
2. Divide numbers written in scientificnotation PY5
3. Exponents with decimal and fractionalbases 7SS
Also consider:• Division with rational exponents H47
7.5: Rational Exponents and Radicals 1. Simplify expressions involving rationalexponents 89Q
• Coming soon: Convert between rationalexponents and radicals
7.6: Exponential Functions 1. Identify linear and exponential functions fromtables LZF
2. Evaluate an exponential function D6H
• Coming soon: Graph exponential functions
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Also consider:• Identify linear and exponential functions from
graphs UEC
7.7: Exponential Growth and Decay 1. Exponential growth and decay: wordproblems UKG
2. Compound interest: word problems QSF
Also consider:• Describe linear and exponential growth and
decay S7T
7.8: Geometric Sequences 1. Identify arithmetic and geometricsequences X76
2. Write variable expressions for geometricsequences XPC
3. Write a recursive formula: geometricsequences JM6
Also consider:• Geometric sequences HLJ
Checkpoint opportunity 1. Checkpoint: Sequences 5W7
• Coming soon: Checkpoint: Build functions
Algebra 1
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Chapter 8Polynomials and Factoring
Textbook section IXL skills
8.1: Adding and Subtracting Polynomials 1. Polynomial vocabulary MTT
2. Add and subtract polynomials 5EK
Also consider:• Add polynomials to find perimeter 8AS
• Model polynomials with algebra tiles TYV
• Add and subtract polynomials using algebratiles J7V
8.2: Multiplying and Factoring 1. Multiply a polynomial by a monomial G2G
2. GCF of monomials ZZU
3. Factor out a monomial JZL
8.3: Multiplying Binomials 1. Multiply two polynomials using algebratiles WR5
2. Multiply two binomials M7Q
8.4: Multiplying Special Cases 1. Multiply two binomials: special cases 9JN
Also consider:• Multiply polynomials 58A
8.5: Factoring x2 + bx + c 1. Factor quadratics with leading coefficient 1 S9P
8.6: Factoring ax2 + bx + c 1. Factor quadratics with other leadingcoefficients 7ED
Also consider:• Factor quadratics using algebra tiles Y6U
8.7: Factoring Special Cases 1. Factor quadratics: special cases 56E
8.8: Factoring by Grouping 1. Factor by grouping 9G7
Also consider:• Factor polynomials TAH
Algebra 1
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Checkpoint opportunity 1. Checkpoint: Polynomial operations 2B7
Algebra 1
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Chapter 9Quadratic Functions and Equations
Textbook section IXL skills
9.1: Quadratic Graphs and Their Properties 1. Vertices of quadratic functions TWQ
2. Introduction to graphing quadraticfunctions FZH
Also consider:• Complete a function table: quadratic
functions LFV
9.2: Quadratic Functions 1. Characteristics of quadratic functions:equations YJZ
2. Match quadratic functions and graphs AU8
3. Graph quadratic functions in standardform HMW
Also consider:• Rate of change: graphs BNH
9.3: Solving Quadratic Equations 1. Solve a quadratic equation using squareroots ERF
9.4: Factoring to Solve Quadratic Equations 1. Solve a quadratic equation using the zeroproduct property TNM
2. Solve a quadratic equation by factoring CSS
9.5: Completing the Square 1. Complete the square RD2
2. Solve a quadratic equation by completing thesquare XCL
9.6: The Quadratic Formula and the Discriminant 1. Solve a quadratic equation using the quadraticformula XCF
2. Using the discriminant SMF
9.7: Linear, Quadratic, and Exponential Models 1. Identify linear, quadratic, and exponentialfunctions from tables SP5
2. Write linear, quadratic, and exponentialfunctions AFA
Algebra 1
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Also consider:• Identify linear, quadratic, and exponential
functions from graphs DHB
9.8: Systems of Linear and Quadratic Equations 1. Systems of linear and quadratic equations 4U9
• Coming soon: Solve systems of linear andquadratic equations by graphing
Checkpoint opportunity Chapter 91. Checkpoint: Quadratic equations NXG
Chapters 4-9• Coming soon: Checkpoint: Equivalent
expressions
• Coming soon: Checkpoint: Problem solving withequations and inequalities
• Coming soon: Checkpoint: Represent constraints
• Coming soon: Checkpoint: Solve equations usinggraphs and tables
• Coming soon: Checkpoint: Interpret features offunctions
• Coming soon: Checkpoint: Function graphs
• Coming soon: Checkpoint: Linear andexponential functions
Algebra 1
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Chapter 10Radical Expressions and Equations
Textbook section IXL skills
10.1: Pythagorean Theorem 1. Pythagorean theorem KKT
2. Pythagorean theorem: word problems EU8
3. Converse of the Pythagorean theorem: is it aright triangle? M68
10.2: Simplifying Radicals 1. Simplify radical expressions CT6
2. Multiply radical expressions HMX
3. Simplify radical expressions involvingfractions VRZ
10.3: Operations with Radical Expressions 1. Add and subtract radical expressions DLV
2. Simplify radical expressions using thedistributive property 28V
3. Divide radical expressions TYC
10.4: Solving Radical Equations 1. Solve radical equations I MMG
2. Solve radical equations II ZGH
10.5: Graphing Square Root Functions 1. Domain and range of radical functions:graphs UXG
2. Domain and range of radical functions:equations 73C
• Coming soon: Graph square root functions
10.6: Trigonometric Ratios 1. Trigonometric ratios: sin, cos, and tan NH8
2. Trigonometric ratios: find a side length 65V
3. Trigonometric ratios: find an angle measure RSS
Also consider:• Find trigonometric ratios using a calculator 6Q3
• Inverses of trigonometric functions VE7
Checkpoint opportunity • Coming soon: Checkpoint: Rational exponents
Algebra 1
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Chapter 11Rational Expressions and Functions
Textbook section IXL skills
11.1: Simplifying Rational Expressions 1. Simplify rational expressions Q7U
11.2: Multiplying and Dividing Rational Expressions 1. Multiply and divide rational expressions LX9
11.3: Dividing Polynomials 1. Divide polynomials by monomials 72C
2. Divide polynomials using long division LY7
11.4: Adding and Subtracting Rational Expressions 1. Add and subtract rational expressions ELX
11.5: Solving Rational Equations 1. Solve rational equations VLW
11.6: Inverse Variation 1. Write inverse variation equations ECT
2. Identify direct variation and inversevariation 9Y5
11.7: Graphing Rational Functions 1. Rational functions: asymptotes and excludedvalues B6J
Algebra 1
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Chapter 12Data Analysis and Probability
Textbook section IXL skills
12.1: Organizing Data Using Matrices 1. Add and subtract matrices BR7
2. Multiply a matrix by a scalar Z9S
Also consider:• Add and subtract scalar multiples of
matrices MT8
12.2: Frequency and Histograms 1. Create frequency charts 29H
2. Create histograms WZU
12.3: Measures of Central Tendency and Dispersion 1. Mean, median, mode, and range 78Z
Also consider:• Standard deviation WA2
12.4: Box-and-Whisker Plots 1. Calculate quartiles and interquartile range 8H9
2. Box plots YE9
12.5: Samples and Surveys 1. Identify biased samples F6N
12.6: Permutations and Combinations 1. Counting principle GTX
2. Permutation and combination notation 7TT
3. Permutations SFZ
12.7: Theoretical and Experimental Probability 1. Theoretical probability 2MS
2. Experimental probability LQV
Also consider:• Find probabilities using two-way frequency
tables 93R
12.8: Probability of Compound Events 1. Probability of independent and dependentevents WRJ
2. Identify independent and dependent events 5A7
Algebra 1
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Also consider:• Find conditional probabilities using two-way
frequency tables BZZ
Checkpoint opportunity • Coming soon: Checkpoint: Quantitativereasoning
• Coming soon: Checkpoint: Line plots,histograms, and box plots
• Coming soon: Checkpoint: Compare data sets
• Coming soon: Checkpoint: Two-way frequencytables
Algebra 1
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