Download 2: One-Variable Linear Equations

SAT Prep (Khan v2.17.2016)
STUDENT ___________________
Heart of Algebra
Passport to Advanced Mathematics
Unit 1: Introduction to Algebra
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Unit 2: One-Variable Linear Equations
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Unit 3: One-Variable Linear Inequalities
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Unit 4: Units of Measurement in Modeling
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Unit 5: Two-Variable Linear Equations
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Unit 6: Functions
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Unit 7: Linear Equations and Functions Word Problems
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Unit 8: Sequences
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Unit 9: Systems of Linear Equations
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Unit 10: Two-Variable Linear Inequalities
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SAT Prep (Khan v2.17.2016)
STUDENT ___________________
Unit 11: Absolute-Value Equations, Functions, and Inequalities
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Unit 12: Expressions with Rational Exponents and Radicals
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Unit 13: Introduction to Exponential Functions
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Unit 14: Introduction to Polynomials
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Unit 15: Introduction to Polynomial Factorization
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Unit 16: Quadratic Equations and Functions
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Unit 17: Rational and Irrational Numbers
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Unit 18: Seeing Structure in Expressions
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Algebra 1 (Khan v1.19.2016)
STUDENT ___________________
1: Introduction to Algebra
Evaluating
expressions with one
variable
Evaluating
expressions with 2
variables
Writing expressions
with variables
Writing expressions
with variables and
parentheses
Combining like terms
with rational
coefficients
Combining like terms
with distribution and
negative numbers
Evaluating expressions
with 2 variables with
fractions and decimals
Evaluating
expressions with
variables word
problems
Equivalent expressions Dependent and
with distribution &
independent
combining like terms
variables
Interpreting linear
expressions
Writing basic
expressions with
variables
Combining like terms
with negative
coefficients
2: One-Variable Linear Equations
Testing solutions of
equations using
substitution
One step equation
intuition
One step equations
with addition and
subtraction
One-step
multiplication and
division equations
with fractions and
decimals
Linear equations with
parentheses
Two step equations
Linear equation word
problems
Linear equations with
parentheses
(decimals and
fractions)
Determine the
number of solutions of
a linear equation
One step addition
and subtraction
equations with
fractions and
decimals
Linear equations with
variables on both
sides
One-step equations
with multiplication
and division
Complete missing
values in linear
equations according
to the number of
solutions
Sums of consecutive
integers
Linear equations with
variables on both
sides (decimals and
fractions)
Solving linear
equations with
unknown coefficients
3: One-Variable Linear Inequalities
Testing solutions of
inequalities
Inequalities on a
number line
Interpreting and
solving linear
inequalities
Multi-step linear
inequalities
Writing inequalities to
describe real-world
situations
Compound
inequalities
One-step inequalities
Two-step inequalities
4. Units of Measurement in Modeling
Interpret units in
formulas
Solve word problems
with multiple units
5: Two Variable Linear Equations
Check solutions to 2variable linear
equations
Slope intuition
Graph solutions to
two-variable linear
equations
Find the Slope from a
graph
Find intercepts from
a graph
Find intercepts from
a table
Find Intercepts from a
linear equation
Find the Slope from
two solutions
Slope from an
equation in slopeintercept form
Graph from slopeintercept equation
Algebra 1 (Khan v1.19.2016)
Slope-intercept
equation from a
graph
Convert between
slope-intercept and
standard form
STUDENT ___________________
Slope-intercept
equation from two
solutions
Writing the equation
a line in any form
Point-slope form
Graph from a
standard form
equation
Slope from an equation
in standard form
Match function
inputs to outputs
from a formula
Domain and range
from a graph
Match function inputs
to outputs from a
graph
Determine the Domain
of functions
6: Functions
Evaluating functions
from their formula
Evaluating functions
from their graph
Evaluating function
expressions
Generate inputoutput pairs of a
function
Function Domain
word problems
Writing function rules
from equations
Graphs of piecewise
linear functions
Domain and range of
piecewise functions
Increasing and
decreasing intervals
Graph interpretation
word problems
Function notation
interpretation word
problems
Recognizing
Evaluate piecewise
functions from tables functions from the
formula
Recognizing relative
Recognizing
maxima and minima absolute maxima
and minima
Finding average rate Average rate of
of change
change word
problems
Recognizing functions
from graphs
Evaluate step functions
from their graph
Positive and negative
intervals
7. Linear Equations and functions word problems
Linear tables
interpretation world
problems
Graph linear realworld relationships
Linear graphs
interpretation world
problems
Find the linear
function that models
a real-world
relationship
Linear formulas
interpretation world
problems
Linear models word
problems
Compare linear
functions
Linear functions
comparison world
problems
8: Sequences
Evaluate 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
Find explicit
formulas for
arithmetic
sequences
Find recursive formulas
for arithmetic
sequences
Convert between
explicit and recursive
formulas of arithmetic
sequences
Convert between
explicit and recursive
formulas of geometric
sequences
Find the next term of
a geometric
sequence, given the
first few terms
Model real-world
situations with
arithmetic and
geometric sequences
Find any term of a
geometric sequence,
given the formula of
the sequence
Find explicit
formulas for
geometric
sequences
Find recursive formulas
for geometric
sequences
9: Systems of Linear Equations
Check solutions to
systems of equations
Solve systems of
equations graphically
Solve systems of
linear equations with
elimination (basic)
Solve systems of
linear equations
with elimination
(advanced)
Equivalent systems of
equations
Algebra 1 (Khan v1.19.2016)
Solve systems of
linear equations with
substitution
Age word problems
STUDENT ___________________
Analyze the solutions
to linear systems
graphically
Analyze solutions to
linear systems
algebraically
Solve any system of
2 linear equations
Systems of linear
equations word
problems
10. Two-Variable Linear Inequalities
Algebraically check
solutions of twovariable linear
inequalities
Find the inequality
representing a given
graph
Graphically check
solutions of twovariable linear
inequalities
Graph inequalities
and check solutions
Check solutions of
systems of
inequalities
Constraint solution
sets of two-variable
inequalities
Constraint solution sets
of systems of linear
inequalities
Graph systems of
inequalities and
check solutions
Two-variable linear
inequalities word
problems
Systems of linear
inequalities word
problems
11. Absolute-Value Equations, Functions, and Inequalities
Solve absolute value
equations
Graph absolute value
functions
12: Expressions with rational exponents and radicals
Unit-fraction
exponents and
radicals
Rational exponents
and radicals
Simplify numerical
radical terms
Single-step
simplification of
rational expressions
Single-step
simplification of
radical expressions
Multi-step
simplification of
rational exponent
expressions
Add, subtract,
multiply, and divide
numerical radical
terms
Simplify numerical
radical expressions
with multiple terms
13. Introduction to Exponential Functions
Construct basic
exponential functions
from the initial value
and the common
ratio
Distinguish between
linear and
exponential models
Construct basic
exponential functions
from a table or a
graph
Graphs of basic
exponential functions
Interpret formulas of
basic exponential
functions
Interpret graphs and
tables of exponential
functions
Compare the growth
rates of exponential
and polynomials
14: Introduction to Polynomials
Add and subtract
polynomials with one
variable
Multiply binomials by
polynomials
Add and subtract
polynomials with two
variable
Find special products
of binomials (basic)
Factors and divisibility
Factor monomials
Factor quadratics with
a leading coefficient
other than 1
Factor perfect
Factor polynomials
using quadratic
methods
Factor polynomials
Multiply monomials
by monomials
Multiply monomials
by polynomials
Multiply binomials by
binomials
Find special products
of binomials
(advanced)
15: Introduction to Polynomial Factorization
Find the greatest
common factor of 2
or 3 integers
Factor polynomials
with quadratic forms
Factor polynomials
by taking a common
factor
Factor simple special
products
Factor quadratics with
a leading coefficient of
1
Factor differences of
squares
Algebra 1 (Khan v1.19.2016)
squares
STUDENT ___________________
with special product
forms
16 Quadratic Equations and Functions
Solve quadratic
equations by taking
the square root
Understand the
process for solving
quadratic equations
Rewrite quadratic
expressions as perfect
squares
Solving quadratic
equations by
completing the
square (leading
coefficient is 1)
Identify and use the
different forms of
quadratic functions
Graph quadratic
functions in vertex
form
Find features of
quadratic functions
Graph quadratic
functions in all forms
Solve factorable
quadratic equations
(leading coefficient is
1).
Solving quadratic
equations by
completing the
square (leading
coefficient is other
than 1)
Compare properties
of quadratic
functions
Shift and scale
parabolas
Solve factorable
quadratic equations
(leading coefficient
is other than 1).
Solve quadratic
equations using the
quadratic formula
Solve quadratic
equations by using
structure.
Graph quadratic
functions in
standard form
Interpret quadratic
models
Graph quadratic
functions in factored
form
17: Rational and Irrational Numbers
Recognizing rational
and irrational
numbers
Classifying numbers
Evaluate Expressions
with unknown
variables (basic)
Evaluate Expressions
with unknown
variables (basic)
Sums and products
of rational and
irrational numbers
18. Seeing Structure in Expressions
Use equations with
unknown variables
to rewrite
expressions
Compare
expressions with
unknown variables
word problems
Determine the number
of solutions of a
quadratic equation