# Ch 7: Algebra II - Linear Equations Review: Tutoring Solution

### About This Chapter

## How it works:

- Begin your assignment or other high school algebra II work.
- Identify the linear equations concepts that you're stuck on.
- Find fun videos on the topics you need to understand.
- Press play, watch and learn!
- Complete the quizzes to test your understanding.
- As needed, submit a question to one of our instructors for personalized support.

## Who's it for?

This chapter of our high school algebra II tutoring solution will benefit any student who is trying to learn linear equations and earn better grades. This resource can help students including those who:

- Struggle with understanding the distributive property, intercepts, undefined and zero slope, parallel and transverse lines or any other linear equations topic
- Have limited time for studying
- Want a cost effective way to supplement their math learning
- Prefer learning math visually
- Find themselves failing or close to failing their linear equations review unit
- Cope with ADD or ADHD
- Want to get ahead in high school algebra II
- Don't have access to their math teacher outside of class

## Why it works:

**Engaging Tutors:**We make learning about linear equations simple and fun.**Cost Efficient:**For less than 20% of the cost of a private tutor, you'll have unlimited access 24/7.**Consistent High Quality:**Unlike a live algebra II tutor, these video lessons are thoroughly reviewed.**Convenient:**Imagine a tutor as portable as your laptop, tablet or smartphone. Learn about linear equations on the go!**Learn at Your Pace:**You can pause and rewatch lessons as often as you'd like, until you master the material.

## Learning Objectives

- Define linear equations.
- Use the distributive property to solve linear equations.
- Graph linear equations that are not in slope-intercept form.
- Graph undefined slope, zero slope and more.
- Determine whether the graphs of two linear equations form parallel or perpendicular lines.
- Write linear equations.

### 1. What is a Linear Equation?

A linear equation is a pattern of numbers with proportional increase or decrease that is used to represent a line graph. Learn how to plot a graph and build and solve a linear equation.

### 2. Applying the Distributive Property to Linear Equations

In mathematics, the distributive property shows that the same answer will result whether one number is multiplied by each integer in a group of numbers or by the sum of the group of numbers. Learn about applying the distributive property to linear equations and work examples to practice the steps, including the final steps needed to solve the equations.

### 3. Linear Equations: Intercepts, Standard Form and Graphing

To solve a linear equation, begin by determining whether it is written in the standard form or the slope-intercept form. Explore the differences between the slope-intercept form and the standard form of a linear equation, and learn how to graph the point of intercept for each.

### 4. Abstract Algebraic Examples and Going from a Graph to a Rule

Abstract algebraic concepts are often difficult to understand because they do not include many numbers but are mostly variables and letters. Learn more about abstract algebraic concepts, finding the equation on a graph, identifying graphs by appearance, and finding the greatest slope on a graph.

### 5. Graphing Undefined Slope, Zero Slope and More

When the variable determining the slope is mathematically impossible but can still be graphed, it is referred to as an undefined slope. Learn how to compute formulas to graphs that have either undefined slope or zero slopes, and discover what this means for the line.

### 6. Parallel, Perpendicular and Transverse Lines

Lines have a specific shape, but there are different types of them according to how they relate to other lines in the same plane. Learn about the different types of lines, including parallel, perpendicular, and transverse lines, and see the formulas you can use to determine the type of line.

### 7. Graphs of Parallel and Perpendicular Lines in Linear Equations

Linear equations, which are graphed as straight lines, can have associated parallel lines which never touch, and perpendicular lines that intersect at 90 degrees. Learn the equations and see the graphs of these two types of linear equations.

### 8. How to Write a Linear Equation

Rather than drawing a graph from an equation, graphs can be used to determine equations using common algebraic techniques. Learn how to write a linear equation using two points and the slope formula as well as using background information on parallel and perpendicular lines.

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### Other Chapters

Other chapters within the High School Algebra II: Tutoring Solution course

- Algebra II - Basic Arithmetic Review: Tutoring Solution
- Algebra II - Algebraic Expressions and Equations Review: Tutoring Solution
- Algebra II - Real Numbers: Tutoring Solution
- Algebra II - Complex and Imaginary Numbers Review: Tutoring Solution
- Algebra II - Exponents and Exponential Expressions Review: Tutoring Solution
- Algebra II - Properties of Functions Review: Tutoring Solution
- Algebra II - Systems of Linear Equations: Tutoring Solution
- Algebra II - Inequalities Review: Tutoring Solution
- Algebra II - Matrices and Determinants: Tutoring Solution
- Algebra II - Absolute Value Review: Tutoring Solution
- Algebra II - Polynomials: Tutoring Solution
- Algebra II - Factoring: Tutoring Solution
- Algebra II - Graphing and Factoring Quadratic Equations Review: Tutoring Solution
- Algebra II - Rational Expressions: Tutoring Solution
- Algebra II - Graphing and Functions: Tutoring Solution
- Algebra II - Roots and Radical Expressions Review: Tutoring Solution
- Algebra II - Quadratic Equations: Tutoring Solution
- Algebra II - Exponential and Logarithmic Functions: Tutoring Solution
- Algebra II - Conic Sections: Tutoring Solution
- Algebra II - Sequences and Series: Tutoring Solution
- Algebra II - Sets: Tutoring Solution
- Algebra II - Combinatorics: Tutoring Solution
- Algebra II - Calculations, Ratios, Percent & Proportions Review: Tutoring Solution
- Algebra II - Statistics: Tutoring Solution
- Algebra II - Trigonometry: Tutoring Solution