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Line Equations and Graphing - Practice

Unit 5

This math unit covers a comprehensive range of skills in understanding and utilizing line equations and graphing. Initially, students begin by learning how to determine the slope of a line directly from a graph, setting the foundation for deeper exploration of linear relationships. They progress to calculating the rise (change in y-values) and run (change in x-values) between two points on a Cartesian plane, essential skills for understanding the slope of a line. The unit advances into more complex tasks that involve selecting the correct linear equation based on the slope, y-intercept, and visual information from graphs. Students practice how to analyze linear graphs and match them to their equations, ultimately enhancing their ability to interpret graphical data into algebraic expressions. This includes identifying lines that pass through the origin and understanding the impact of different slopes and y-intercepts. Towards the end of the unit, the focus shifts to applying these skills to solve for intercepts from equations presented in standard form and slope-intercept form. This progression solidifies students' understanding of linear equations, graph interpretation, and algebraic manipulation, ensuring comprehensive knowledge in constructing and analyzing line equations in various forms.

Skills you will learn include:

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Learning through Game Play

At Mobius we have lots of great (and free) resources to help you learn math. To keep kids engaged, there’s nothing better than a math-powered video game! Try out a Mobius game mapped to Line Equations and Graphing - Practice.

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Slope - Find Equivalent - Graph to Standard Form (Level 1)

Topic 1

Speed PlayPractice
Slope - Find Equivalent - Fraction Slope to Slope Zero Intercept Form (Level 1)

Topic 2

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Slope - Find Equivalent - Slope Zero Intercept Form to Decimal Slope (Level 1)

Topic 3

Speed PlayPractice

Slope - Find Equivalent - Slope Zero Intercept Form to X,Y Chart (Level 1)

Topic 4

Exercises for this topic are done in Unit Mastery.

Slope - Find Equivalent - Slope Y Intercept Form to Decimal Slope (Level 1)

Topic 5

Speed PlayPractice
Slope - Find Equivalent - Fraction Slope to Slope Y Intercept Form (Level 1)

Topic 6

Speed PlayPractice
Slope - Find Equivalent - Slope Zero Intercept Form to Fraction Slope (Level 1)

Topic 7

Speed PlayPractice
Slope - Find Equivalent - Slope Zero Intercept Form to Graph (Level 1)

Topic 8

Speed PlayPractice
Slope of a Line from Coordinates of Points (Level 1)

Topic 9

This math topic focuses on calculating the slope of a line given two points with coordinates (x, y). Participants are presented...

Speed PlayPractice
Slope of a Line from Coordinates of Points (Level 2)

Topic 10

This math topic focuses on calculating the slope of a line given two points in a coordinate system. The skills practiced...

Speed PlayPractice
Rise of a Line from Coordinates of Points Given as Function Outputs (Level 1)

Topic 11

This topic focuses on finding the rise of a line, which is the change in the y-values (Δy), given two points in the context...

Speed PlayPractice
Rise of a Line from Coordinates of Points Given as Function Outputs (Level 2)

Topic 12

This math topic focuses on calculating the rise of a line by determining the change in the y-values (rise) given specific...

Speed PlayPractice
Run of a Line from Coordinates of Points Given as Function Outputs (Level 1)

Topic 13

This math topic focuses on calculating the run of a line from given coordinates, specifically the change in the x-values...

Speed PlayPractice
Run of a Line from Coordinates of Points Given as Function Outputs (Level 2)

Topic 14

This topic focuses on determining the run of a line, which is the horizontal change (change in x-values) between two points...

Speed PlayPractice
Slope of a Line from Points Given as Function Outputs (Level 1)

Topic 15

This math topic focuses on calculating the slope of a line given function outputs at two different points. Students are provided...

Speed PlayPractice
Slope of a Line from Points Given as Function Outputs (Level 2)

Topic 16

This math topic focuses on calculating the slope of a line given two points, where the points are defined by function outputs....

Speed PlayPractice
Slope - Find Equivalent - Slope Y Intercept Form to Graph (Level 1)

Topic 17

Speed PlayPractice
Slope - Find Equivalent - Graph to Slope Zero Intercept Form (Level 1)

Topic 18

Speed PlayPractice
Slope of a Line from Graph (without points) - Decimal (Level 3)

Topic 19

Speed PlayPractice
Slope - Find Equivalent - Graph to Slope Y Intercept Form (Level 1)

Topic 20

Speed PlayPractice
Slope - Find Equivalent - X,Y Chart to Standard Form (Level 1)

Topic 21

Speed PlayPractice
Slope - Find Equivalent - Decimal Slope to Standard Form (Level 1)

Topic 22

Speed PlayPractice
Slope - Find Equivalent - Fraction Slope to Standard Form (Level 1)

Topic 23

Speed PlayPractice
Slope - Find Equivalent - Slope Zero Intercept Form to Standard Form (Level 1)

Topic 24

Speed PlayPractice

Slope - Vertical and Horizontal - X,Y Chart to Graph (Level 1)

Topic 25

Exercises for this topic are done in Unit Mastery.

Slope - Vertical and Horizontal - Graph to X,Y Chart (Level 1)

Topic 26

Exercises for this topic are done in Unit Mastery.

Slope - Vertical and Horizontal - Graph to Slope (Level 1)

Topic 27

Exercises for this topic are done in Unit Mastery.

Slope - Vertical and Horizontal - Slope to Graph (Level 1)

Topic 28

Exercises for this topic are done in Unit Mastery.

Slope - Vertical and Horizontal - X,Y Chart to Slope (Level 1)

Topic 29

Exercises for this topic are done in Unit Mastery.

Slope - Vertical and Horizontal - X,Y Chart to Function (Level 1)

Topic 30

Exercises for this topic are done in Unit Mastery.

Slope - Find Equivalent - Slope Y Intercept Form to Standard Form (Level 1)

Topic 31

Speed PlayPractice
Linear Equations - Find Y Intercept (Integer) - Slope Y Intercept Form (Level 2)

Topic 32

Speed PlayPractice
Linear Equations - Find Y Intercept (Integer) - Slope Y Intercept Form (Level 3)

Topic 33

Speed PlayPractice
Linear Equations - Find X Intercept (Integer) - Slope Y Intercept Form (Level 2)

Topic 34

Speed PlayPractice
Linear Equations - Find X Intercept (Integer) - Slope Y Intercept Form (Level 3)

Topic 35

Speed PlayPractice
Linear Equations - Find Y Intercept (Integer) - Standard Form (Level 2)

Topic 36

Speed PlayPractice
Linear Equations - Find Y Intercept (Integer) - Standard Form (Level 3)

Topic 37

Speed PlayPractice
Linear Equations - Find X Intercept (Integer) - Standard Form (Level 2)

Topic 38

Speed PlayPractice
Linear Equations - Find X Intercept (Integer) - Standard Form (Level 3)

Topic 39

Speed PlayPractice
Slope of a Line from Graph (without points) - Decimal (Level 1)

Topic 40

Speed PlayPractice
Slope - Find Equivalent - Slope Y Intercept Form to Fraction Slope (Level 1)

Topic 41

Speed PlayPractice

Slope - Find Equivalent - Slope Y Intercept Form to X,Y Chart (Level 1)

Topic 42

Exercises for this topic are done in Unit Mastery.

Slope of a Line from Graph (without points) - Decimal (Level 2)

Topic 43

Speed PlayPractice
Rise of a Line from Coordinates of Points (Level 1)

Topic 44

This math topic focuses on calculating the rise of a line, which involves finding the change in the y-coordinate between...

Speed PlayPractice
Rise of a Line from Coordinates of Points (Level 2)

Topic 45

This math topic focuses on calculating the rise of a line, which is the change in the y-coordinate between two points on...

Speed PlayPractice
Run of a Line from Coordinates of Points (Level 1)

Topic 46

This math topic focuses on finding the run of a line between two points in a coordinate plane by calculating the change in...

Speed PlayPractice
Run of a Line from Coordinates of Points (Level 2)

Topic 47

This math topic focuses on calculating the run of a line, or the change in x-coordinates, between two points on a coordinate...

Speed PlayPractice

Slope - Vertical and Horizontal - Slope to Function (Level 1)

Topic 48

Exercises for this topic are done in Unit Mastery.

Slope - Find Equivalent - Standard Form to Decimal Slope (Level 1)

Topic 49

Speed PlayPractice

Slope - Vertical and Horizontal - Slope to X,Y Chart (Level 1)

Topic 50

Exercises for this topic are done in Unit Mastery.

Slope - Vertical and Horizontal - Function to Slope (Level 1)

Topic 51

Exercises for this topic are done in Unit Mastery.

Slope - Find Equivalent - Standard Form to Fraction Slope (Level 1)

Topic 52

Speed PlayPractice
Slope - Find Equivalent - Standard Form to Slope Zero Intercept Form (Level 1)

Topic 53

Speed PlayPractice
Slope - Find Equivalent - Standard Form to Slope Y Intercept Form (Level 1)

Topic 54

Speed PlayPractice

Slope - Find Equivalent - Standard Form to X,Y Chart (Level 1)

Topic 55

Exercises for this topic are done in Unit Mastery.

Slope - Find Equivalent - Standard Form to Graph (Level 1)

Topic 56

Speed PlayPractice
Find Point On Graph From Equation Through Origin (Level 1)

Topic 57

This math topic focuses on finding specific points on a graph of linear equations that pass through the origin. The equations...

Speed PlayPractice
Find Point On Graph From Equation (Level 1)

Topic 58

This math topic focuses on learning how to find specific points on a graph given a linear equation. It teaches how to substitute...

Speed PlayPractice
Linear Equations - Find Y Intercept (Decimal) - Slope Y Intercept Form (Level 1)

Topic 59

Speed PlayPractice
Find Point On Graph From Equation (Level 2)

Topic 60

This math topic focuses on the ability to find specific points on the graph of a linear equation. It falls under the broader...

Speed PlayPractice
Slope of a Line Through Origin Given Slope - Select Linear Equation Based on Slope (Level 1)

Topic 61

This math topic focuses on identifying linear equations based on their slopes for lines that pass through the origin. Students...

Speed PlayPractice
Slope of a Line Through Origin Given Slope - Select Linear Equation Based on Slope (Level 2)

Topic 62

This math topic focuses on identifying linear equations based on their slopes, specifically equations that represent lines...

Speed PlayPractice
Slope of a Line Through Origin - Select Linear Equation Based on Graph (Level 1)

Topic 63

This math topic focuses on the skill of determining the equations of lines from their graphs, specifically lines that pass...

Speed PlayPractice
Slope of a Line Through Origin - Select Linear Equation Based on Graph (Level 2)

Topic 64

This math topic focuses on determining the slope of a line through the origin. Specifically, students are tasked with selecting...

Speed PlayPractice
Slope of a Line - Select Linear Equation Based on Slope and Y Intercept (Level 1)

Topic 65

This math topic focuses on identifying linear equations from a graphical representation based on given values of slope and...

Speed PlayPractice
Slope of a Line - Select Linear Equation Based on Slope and Y Intercept (Level 2)

Topic 66

This math topic focuses on the skill of identifying linear equations based on given slopes and y-intercepts. It presents...

Speed PlayPractice
Linear Equations - Find Y Intercept (Decimal) - Slope Y Intercept Form (Level 2)

Topic 67

Speed PlayPractice
Linear Equations - Find X Intercept (Decimal) - Slope Y Intercept Form (Level 1)

Topic 68

Speed PlayPractice
Linear Equations - Find Y Intercept (Decimal) - Slope Y Intercept Form (Level 3)

Topic 69

Speed PlayPractice

Slope - Vertical and Horizontal - Function to Graph (Level 1)

Topic 70

Exercises for this topic are done in Unit Mastery.

Linear Equations - Find X Intercept (Decimal) - Slope Y Intercept Form (Level 2)

Topic 71

Speed PlayPractice
Linear Equations - Find Y Intercept (Decimal) - Standard Form (Level 1)

Topic 72

Speed PlayPractice

Slope - Vertical and Horizontal - Function to X,Y Chart (Level 1)

Topic 73

Exercises for this topic are done in Unit Mastery.

Slope of a Line - Select Linear Equation Based on Graph (Level 1)

Topic 74

This math topic focuses on identifying linear equations from graphical representations. It helps in developing the skill...

Speed PlayPractice
Linear Equations - Find X Intercept (Decimal) - Slope Y Intercept Form (Level 3)

Topic 75

Speed PlayPractice

Slope - Vertical and Horizontal - Graph to Function (Level 1)

Topic 76

Exercises for this topic are done in Unit Mastery.

Linear Equations - Find Y Intercept (Decimal) - Standard Form (Level 2)

Topic 77

Speed PlayPractice
Slope of a Line - Select Linear Equation Based on Graph (Level 2)

Topic 78

This math topic focuses on identifying the correct linear equation from a set of options that best represents a given graph....

Speed PlayPractice
Linear Equations - Find X Intercept (Decimal) - Standard Form (Level 1)

Topic 79

Speed PlayPractice
Linear Equations - Find Y Intercept (Decimal) - Standard Form (Level 3)

Topic 80

Speed PlayPractice
Linear Equations - Find X Intercept (Decimal) - Standard Form (Level 2)

Topic 81

Speed PlayPractice
Linear Equations - Find X Intercept (Decimal) - Standard Form (Level 3)

Topic 82

Speed PlayPractice
Slope of a Line - Select Linear Equation Based on Slope and Y Intercept (Level 3)

Topic 83

This math topic focuses on developing skills in identifying linear equations based on their graphical representations. Specifically,...

Speed PlayPractice
Slope of a Line - Select Linear Equation Based on Slope and Y Intercept (Level 4)

Topic 84

This math topic focuses on identifying linear equations based on their slope and y-intercept values. Each question presents...

Speed PlayPractice
Slope of a Line - Select Linear Equation Based on Graph (Level 3)

Topic 85

This math topic focuses on identifying the correct linear equation from a graph. It enhances skills in interpreting the slope...

Speed PlayPractice
Slope of a Line - Select Linear Equation Based on Graph (Level 4)

Topic 86

This math topic focuses on identifying the correct linear equation for a given line graph. Learners are presented with graphs...

Speed PlayPractice