# Ch 3: FTCE Math: Linear Equations

### About This Chapter

## FTCE Math: Linear Equations - Chapter Summary

The lessons in this chapter will help you refresh what you know about the mathematical uses of linear equations for the FTCE math exam. Our expert instructors designed these lessons to help you with questions about:

- Modeling a linear relationship by converting values
- Finding and applying the slope and intercepts of a line
- Graphing standard form equations
- Applying the point-slope formula of a line
- Ways of using linear equations to solve problems

Going over these mathematical applications individually makes understanding them easier. Video lessons allow you to review the steps involved in solving these equations to ensure you're ready for their appearance on the FTCE math test.

### 1. Model a Linear Relationship Between Two Quantities

In this lesson, we will learn about modeling linear relationships by converting domain and range values into ordered pairs and then constructing a graph.

### 2. How to Find and Apply The Slope of a Line

In this lesson, we'll discover all about the slopes of lines. We'll learn about different types of slopes and how to find the slopes of lines. We'll use two methods: the slope formula and the slope-intercept form.

### 3. How to Find and Apply the Intercepts of a Line

How can you take an equation of a line and find out where it will cross the x- or y-axis? In this lesson, we'll define x-intercepts and y-intercepts and learn how to find them.

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

Do you know what to do if an equation doesn't look like y=mx+b?! If not, then this video is for you. Chances are the equation is in standard form, so we'll learn how to use standard form equations, how to graph them and why they can be helpful.

### 5. Equation of a Line Using Point-Slope Formula

It's time for a road trip to Las Vegas, and after four hours of driving at 60 mph ... Are we there yet? Learn the point-slope form of the equation of a line to help answer this age-old question.

### 6. Problem solving using Linear Equations

From sale prices to trip distances, many real life problems can be solved using linear equations. In this lesson, we'll practice translating word problems into linear equations, then solving the problems.

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### Other Chapters

Other chapters within the FTCE Mathematics 6-12 (026): Practice & Study Guide course

- About the FTCE Math Test
- FTCE Math: Properties of Real Numbers
- FTCE Math: Linear Inequalities
- FTCE Math: Absolute Value Expressions & Equations
- FTCE Math: Systems of Linear Equations
- FTCE Math: Ratios & Proportions
- FTCE Math: Rational Expressions & Equations
- FTCE Math: Radical Expressions & Equations
- FTCE Math: Complex Numbers
- FTCE Math: Quadratics
- FTCE Math: Polynomials
- FTCE Math: Exponential & Logarithmic Equations
- FTCE Math: Vector Operations
- FTCE Math: Sequences & Series
- FTCE Math: Matrix Operations & Determinants
- FTCE Math: Functions
- FTCE Math: Piecewise Functions
- FTCE Math: Area & Perimeter
- FTCE Math: Surface Area & Volume
- FTCE Math: Foundations of Geometry
- FTCE Math: Lines & Angles
- FTCE Math: Geometric Construction
- FTCE Math: Properties of Triangles
- FTCE Math: Similar & Congruent Triangle Proofs
- FTCE Math: Right Triangle Proofs
- FTCE Math: Quadrilaterals & Polygons
- FTCE Math: Circles & Arcs
- FTCE Math: Conic Sections
- FTCE Math: Coordinate Geometry
- FTCE Math: Transformations in Geometry
- FTCE Math: Trigonometry
- FTCE Math: Overview of Statistics
- FTCE Math: Data Analysis & Statistics
- FTCE Math: Regression & Correlation
- FTCE Math: Graphic Representations of Data
- FTCE Math: Sampling in Statistics
- FTCE Math: Probability
- FTCE Math: Limits
- FTCE Math: Rate of Change
- FTCE Math: Calculating Derivatives & Derivative Rules
- FTCE Math: Graphing Derivatives
- FTCE Math: Integration & Integration Techniques
- FTCE Math: Integration Applications
- FTCE Math: Mathematical Reasoning
- FTCE Math: Teaching Strategies & Methods
- FTCE Math: Assessing Student Learning
- FTCE Math: Manipulatives & Models in the Classroom
- FTCE Math: Problem-Solving Strategies
- FTCE Mathematics 6-12 Flashcards