2. Modeling with Linear Functions, Linear Systems, & Exponential Functions

2.01 Graphing systems of equations

2.02 Solving systems of equations with the substitution method

2.03 Solving systems of equations with the elimination method

2.04 Solving systems of equations with a variety of methods

2.05 Applications of linear systems

2.06 Graphing linear inequalities in two variables

2.07 Systems of inequalities

2.08 Functions and relations

2.09 Domain and range and set notation

2.10 Evaluating functions

2.11 Modeling linear relationships

2.12 Review: Laws of exponents

2.13 Exponential growth and decay

Investigation: Comparisons of simple and compound interest

2.15 Compound interest

2.16 The slope formula

2.17 Transformations of y=x

Investigation: Exploring slopes and equations of lines

Investigation: Relationship between shoulder span and height

2.18 Slope-intercept form

2.19 Standard form

2.20 Point-slope form

2.21 Comparing linear relationships

2.22 Comparing exponential relationships

2.23 Comparing linear and exponential relationships

2.24 Review: Slope as rate of change

2.25 Key features of quadratic functions

2.26 Graphing quadratic functions

2.27 Quadratic functions and technology

2.28 Extension: Absolute value equations

2.29 Extension: Absolute value inequalities

2.30 Graphs and characteristics of absolute value functions

United States of America NJ

Algebra 1

2.06 Graphing linear inequalities in two variables

Interactive practice questions

Is $\left(6,20\right)$(6,20) a solution of $y$y $\ge$≥ $4x+5$4x+5?

$no$

A

$yes$

B

Easy

< 1min

Is $\left(3,2\right)$(3,2) a solution of $3x+2y$3x+2y $\ge$≥ $12$12?

Easy

< 1min

Which of the following points satisfies the inequality $x-y>7$x−y>7?

Easy

< 1min

Which of the following points satisfies the inequality $y>2x$y>2x?

Easy

< 1min

Outcomes

A.REI.D.12

Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.

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