Worksheet 6.4 - Graphing Linear Equations Name



Name: _________________________________________ Class 8-___ Date: ________

Module: Linear Equations and Linear Inequalities

Chapter 2 & Chapter 3 Test Review

Pages 1-5 due Tuesday 12/17,Pages 4-9 due Wednesday 12/18 Test Thursday 12/19/19

2.1 Graphing Linear Equations (including Horizontal and Vertical Lines) 

2.2 Slope of a Line 

2.2 Extension Slopes of Parallel and Perpendicular Lines 

2.3 Graphing Linear Equations in Slope Intercept form 

2.4 Graphing Linear Equations in Standard Form 

2.5 Writing Linear Equations in Slope Intercept From 

2.6 Extension Writing Equations of Parallel and Perpendicular Lines

All of Chapter 3, 3.1-3.4 Linear Inequalities in One Variable, writing, solving and graphing

3.5 Graphing Linear Inequalities in Two Variables

PART OF YOUR REVIEW SHOULD BE YOUR LAST REVIEW PACK FOR THE BEGINNING OF CHAPTER 2, AND YOUR LAST TEST ON THE BEGINNING OF CHAPTER 2

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|Question #1: |Question #2: |

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|[pic] |[pic] |

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|The boundary line is drawn in above for the Linear Inequality y< -x-3. You|The boundary line is drawn in above for the Linear Inequality y> ½ x. You |

|need to complete the graph by shading it properly to reflect the |need to complete the graph by shading it properly to reflect the |

|inequality. |inequality. |

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|Question #3: |Question #4: |

|[pic] |[pic] |

|Slope = |Slope = |

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|Y-intercept = |Y-intercept = |

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|X-intercept = |X-intercept = |

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|Equation of the line: |Equation of the line: |

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Determine if each linear inequality, when it is graphed would have a solid or dashed boundary line, and if your shading would be above or below the boundary line. State the slope and y-intercept, and then graph each linear inequality.

5) y > 5x – 5 6) y < 6 – 2x

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State the slope and the y-intercept of each line below. Make sure to put them in slope intercept form first, if they are not, and then graph each linear equation.

7) 3x + 3y = 27 8) 10x + 5y = 2

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Write the equation of the line, in slope intercept form, that passes through each set of given point:

9) (-4, 2) and (2, -4) 10) (5, -3) and (4, -7)

11) (3, 4) and (3, -2) 12) (9, 7) and (2, 7)

13) Determine which, if any, of the given points is a solution to the given linear inequality. There may be more than one solution point.

Linear Inequality: -2x + 3y < -10

A. (-2, -2)

B. (2, -2)

C. (-5, 0)

D. (0, -5)

14) Determine which, if any, of the given points is a solution to the given linear equation. There may be more than one solution point.

Linear Equation: y = (1/4)x - 2

A. (4, -1)

B. (8, -2)

C. (8, 0)

D. (12, 1)

15) Select the choice that represents the proper choice:

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16) Given -5x + 2 = y

Write an equation of a line, parallel to the given linear equation, in slope intercept form, with a y intercept of -2.

Write an equation of a line, perpendicular to the given linear equation, in slope intercept form, passing through the origin.

Sketch a graph of each line below:

17) y = 4 18) x = -2

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19) Write the Linear Inequality, in slope intercept form, for each graph below.

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Given each set of lines, tell if they are parallel, perpendicular or neither. Explain how you know.

20) y = 3x + 2 and y = -3x – 2

21) y = 2x + 4 and 3y = 6x + 15

22) y = (2/3)x + 4 and y = (3/2)x + 4

23) y = 5x + 2 and y = (-1/5)x + 8

Write the equation of the line, in slope intercept form, of the line described:

24) slope = 5, passing through the point (1,2)

25) slope = (2/3) and y-intercept = 4

26) through (2,2), parallel to y = x + 4

27) through (3,4), perpendicular to -2x – 4

28)

A. Passing through (0, 2) and is parallel to the x axis.

B. Passing through (4, 0) and is parallel to the y axis

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Write the equation of the line, in slope intercept form, of the line described:

33) passing through (5, 5) and (4,-5)

34) passing through (5,2) and (3, 2)

35) passing through (4, 3) and (4, -1)

Sketch a graph of each line below

36) y = 0 37) x = 0

[pic]

Good Luck (

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