#### Algebra 1

### Course Description

### Algebra foundations

overview and history of algebra

Introduction to variable

Substitution and evaluating expressions

Combining like terms

Introduction to equivalent

Division by zero

### Solving equations & inequalities

Linear equation with variable on both side

Linear equation with parentheses

Analyzing the number of solution to linear equation

Linear equnation with unkown coefficients

Multi-step Inequalities

Compound inequalities

### Working with units

Rate conversion

Appropriate rate

word problem with multiple units

### Linear equations & graphs

Two variable linear equation intro

slope

Horizontal and vertical

x-intercepts and y-intercepts

Applying intercepts and slope

### Forms of linear equations

Intro to slope -intercepts form

Graphing slope – intercepts equation

Writing slope -intercepts equation

Point slope form

Standard form

Summary : Forms of two variable

linear equation

Systems of equations

Introduction to system of equation

Solving system of equation with substiution

solving systems of equation with elimination

Equivalent system of equation

Number of system of equation

system of equation word problem

### Inequalities (systems & graphs)

Checking solution of two- variable inequalities

Graphing two -variable inequalities

Modeling with linear in equalities

### Functions

Evaluating function

Inputs and Outputs of a function

function and Equation

Interpreting function and equation

Introduction to the domain and range of a function

Determining the domain of a function

Recognizing function

Maximum and minimum points

Internal where a function is positive ,negative ,increasing or

Interpreting feature of graphs

Average rate of change

Average rate of change word problem

Average rate of change word problem intro to increase function

### Sequences

Intro to arithmetic sequences constructing arithmetic sequence

Introduction to geometric sequences

constructing geometric sequences

Modeling with sequence

General sequence

### Absolute value & piecewise functions

Graphs and absolute value function

Piecewise function

### Exponents & radicals

Exponent and properties review

Radicals

simplifying square root

### Exponential growth & decay

Exponential vs linear growth

Exponential expression

Graphs of exponential growth

Exponential vs linear growth over time

Exponential growth & decay

Exponential function form table & graphs

Exponential vs linear model

### Quadratics: Multiplying & factoring

Multiplying monomials by polynomials

Multiplying binomials

Special product of binomials

Introduction to factoring

Factoring quadratics intro

Factoring quadratics by grouping

Factoring quadratics with different of square

factoring quadratics with perfect square

strategy in factoring quadratics

### Quadratic functions & equations

Intro to parabolas

solving and graphing with factored form

solving by taking the square root

Vertex form

solving quadratic by factoring

The quadratic formula

completing the square root

more on completing the square

Strategizing to solve quadratic function

Quadratic standard form

Feature &form of quadratic function

Comparing quadratic function

Transforming quadratic function

### Irrational numbers

irrational numbers

sum of product of rational and irrational number

proof concerning irrational number

### COURCE CHALLENGE

Test your knowledge of the skills in this course. Have a test coming up? The Course challenge can help you understand what you need to review.

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