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

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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

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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

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Checkpoint opportunity • Coming soon: Checkpoint: Function concepts

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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

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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

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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

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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

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Checkpoint opportunity 1. Checkpoint: Polynomial operations 2B7

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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

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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

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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

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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

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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

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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

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