# Algebra I Math Mission

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The

**Algebra I Math Mission**is a set of skills on Khan Academy. This mission consists of foundational material and then proceeds into many topics.## Mission Specifics

### Mission Foundations

- Whole number exponents with integer bases 2
- Approximating square roots
- Distributive property
- Identifying terms, factors, and coefficients in expressions
- Basic rate problems
- Multi-step rational number word problems
- Order of operations
- Units
- Writing inequalities to describe real-world situations
- Dividing fractions word problems
- Adding and subtracting fractions with unlike denominators word problems
- Dividing decimals 3
- Adding decimals 2
- Subtracting decimals 2

### Introduction to algebra

- Evaluating expressions in one variable
- Evaluating expressions with two variables
- Evaluating expressions with variables word problems
- Combining like terms with negative coefficients
- Combining like terms with distribution and negative numbers
- Manipulating basic expressions with rational coefficients
- Equivalent expressions with distribution and combining like terms
- Writing expressions with variables
- Writing expressions with variables and parentheses
- Interpreting linear expressions
- Nested fractions
- Dependent and independent variables
- Defining appropriate units

### One-variable linear equations

- One step equation intuition
- One-step equations with multiplication
- One-step equations with addition and subtraction
- Two-step equations
- Linear equation word problems
- Equations with variables on both sides
- Understanding the process for solving linear equations
- Linear equations with one, zero, or infinite solutions
- Solving equations in terms of a variable
- Manipulating formulas
- Converting 1-digit repeating decimals to fractions
- Converting multi-digit repeating decimals to fractions
- Age word problems
- Absolute value equations
- Equations with parentheses
- Evaluate expressions with unknown variables (basic)
- Evaluate expressions with unknown variables (advanced)
- Equation practice: summing integers

### One-variable linear inequalities

- One-step inequalities
- Two-step inequalities
- Multi-step linear inequalities
- Interpreting and solving linear inequalities
- Compound inequalities
- Structure in expressions 1
- Interpreting the structure of expressions

### Units of measurement in modeling

### Two-variable linear equations and introduction to functions

- Checking solutions to two-variable linear equations
- Graphing solutions to two-variable linear equations
- Intercepts from a graph
- Intercepts from a table
- Intercepts from a linear equation
- Slope intuition
- Slope from a graph
- Slope from two solutions
- Slope from an equation in slope-intercept form
- Graph from slope-intercept equation
- Slope-intercept equation from a graph
- Slope-intercept equation from two solutions
- Point-slope form
- Graph from a standard form equation
- Slope from an equation in standard form
- Converting between slope-intercept and standard form
- Writing the equation of a line in any form
- Evaluating functions
- Evaluating function expressions
- Matching inputs to function outputs
- Views of a function
- Writing function rules from equations
- Interpreting linear tables word problems
- Interpreting linear graphs word problems
- Interpreting linear formulas word problems
- Comparing linear functions
- Comparing linear functions word problems
- Graphing linear functions word problems
- Constructing linear functions word problems
- Linear models word problems
- Distinguish between linear and exponential models

### Functions

- Evaluating functions
- Evaluating function expressions
- Matching inputs to function outputs
- Views of a function
- Writing function rules from equations
- Domain and range from graph
- Domain of algebraic functions
- Domain of modeling functions
- Recognizing functions from graphs
- Recognizing functions from tables
- Evaluating piecewise functions
- Graphs of piecewise linear functions
- Domain and range of piecewise functions
- Recognizing maxima and minima
- Positive and negative intervals
- Increasing and decreasing intervals
- Interpreting graphs word problems
- Finding average rate of change
- Average rate of change word problems
- Find inverses of polynomial, radical, and rational functions

### Sequences

- Evaluating sequences in recursive form
- Find the next term of an arithmetic sequence, given the first few terms
- Find any term of an arithmetic sequence, given the formula of the sequence
- Explicit formulas for arithmetic sequences
- Recursive formulas for arithmetic sequences
- Evaluating geometric sequences 1
- Evaluating geometric sequences 2
- Explicit formulas for geometric sequences
- Find recursive formulas for geometric sequences
- Modeling with sequences

### Systems of linear equations

- Checking solutions to systems of equations
- Solving systems of equations graphically
- Solving systems of linear equations with elimination 1
- Solving systems of linear equations with elimination 2
- Solving systems of linear equations with substitution
- Analyze solutions to linear systems graphically
- Systems with one, zero, or infinite solutions
- Solving systems of two linear equations
- Systems of linear equations word problems

### Two-variable linear inequalities

- Checking solutions of two-variable linear inequalities
- Checking solutions to two-variable linear inequalities
- Completing solutions of inequalities
- Inequality from graph
- Graphing inequalities and checking solutions
- Checking solutions of systems of inequalities
- Completing solutions of systems of inequalities
- Graphing systems of inequalities and checking solutions
- Two-variable linear inequalities word problems
- Systems of linear inequalities word problems

### Absolute-value equations, functions, and inequalities

### Multiplying and factoring expressions

- Multiplying binomials 1
- Multiplying binomials 2
- Factoring with the distributive property
- Factoring quadratics 1
- Factoring quadratics 2
- Factoring polynomials by grouping
- Factoring quadratics with two variables
- Adding and subtracting polynomials
- Multiplying polynomials

### Quadratic equations and functions

- Solving quadratics by taking the square root
- Understanding the process for solving quadratic equations
- Solving quadratics by factoring
- Solve factorable quadratic equations (leading coefficient is other than 1)
- Completing the square in quadratic expressions
- Solving quadratics by completing the square 1
- Solving quadratics by completing the square 2
- Solve quadratic equations using the quadratic formula
- Find features of quadratic functions
- Finding and interpreting key feature of quadratics
- Vertex of a parabola
- Graphing parabolas in standard form
- Parabola intuition 1
- Graphing parabolas in vertex form
- Graphing parabolas in all forms

### Expressions with rational exponents and radicals

- Positive and negative exponents
- Properties of exponents
- Using exponent rules to evaluate expressions
- Simplifying rational expressions with exponent properties
- Simplifying expressions with exponents
- Understanding fractional exponents
- Manipulating fractional exponents
- Fractional exponents
- Fractional exponents 2
- Simplifying square roots
- Simplifying square roots 2
- Adding and subtracting radicals
- Radical equations
- Extraneous solutions to radical equations
- Single-step simplification of radical expressions
- Multi-step simplification of rational exponent expressions

### Rational and irrational numbers

### Introduction to polynomials and quadratic factorization

### Miscellaneous

Users can view other Math Missions here.