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Name _____________________________ Date ___________________ Linear Equations Write an equation in standard form for each line. 1. 2. 3. 4. 5. 6. 7. 8. 9.

Linear Equations Worksheet 1

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Page 1: Linear Equations Worksheet 1

Name _____________________________ Date ___________________

Linear Equations

Write an equation in standard form for each line.

1.   2.   3.  

4.   5.   6.  

7.   8.   9.  

Page 2: Linear Equations Worksheet 1

Name _____________________________ Date ___________________

Linear Equations

Write an equation in slope-intercept form for each line.

1.   2.   3.  

4.   5.   6.  

7.   8.   9.  

Page 3: Linear Equations Worksheet 1

Name ___

Date ___________________

Linear Equations

1.   2.   3.  

4.   5.   6.  

7.   8.   9.  

Page 4: Linear Equations Worksheet 1

 

Name _____________________________ Date ___________________

Linear Equations

Complete.

1.  

Write an equation of a line that passes through the point (-12, -27) and is parallel to the following equation:-x =

2.   Write an equation of a line that passes through the point (-29, 21) and is parallel to the following equation:5x + 3y = -82

3.   Write an equation of a line that passes through the point (14, 39) and is perpendicular to the following equation:

y =  -14

3x   +  

313

3

Page 5: Linear Equations Worksheet 1

93 + 3y

4.   Write an equation of a line that passes through the point (33, 30) and is perpendicular to the following equation:

x =  531

17  +  

1

17y

5.   Write an equation of a line that passes through the point (29, -3) and is parallel to the following equation:x - 4y = 41

6.   Write an equation of a line that passes through the point (11, -3) and is perpendicular to the following equation:

y =  13

10x   -  

173

10

7.   Write an equation of a line that passes through the point (8, -19) and is parallel to the following equation:4x - 19y = 393

8.   Write an equation of a line that passes through the point (-8, -18) and is perpendicular to the following equation:

y =  -7

11x   -  

254

11

9.   Write an equation of a line that passes through the point (3, 22) and is perpendicular to the following equation:

x =  279

5  -  

12

5y

10.   Write an equation of a line that passes through the point (38, 15) and is parallel to the following equation:17x + 16y

2  =  

443

11.   Write an equation of a line that passes through the point (26, 9) and is parallel to the following equation:11x + 3y = 313

12.   Write an equation of a line that passes through the point (-21, 30) and is perpendicular to the following equation:

y =  13

6x   +  

151

2

Page 6: Linear Equations Worksheet 1

 

Name _____________________________ Date ___________________

Linear EquationsState whether the lines are parallel, perpendicular, or neither.

1.  y =  

4

9x   +  

46

9

y =  19

16x   -  

49

16

2.   x - 5y = 103-2x = -206 - 10y

3.  y =  

13

7x   +  

122

7

13x - 7y

3  =  

-122

3

Page 7: Linear Equations Worksheet 1

4.   4x + 5y = 1985x - 4y = 145

5.   235

3  -  

5

3y  = x

5x - 3y = 63

6.   3x + 4y = 136

x =  533

9  -  

17

9y

7.   7x - y = 223

y =  7x   -  223

8.  y =  

17

x   +  456

y =  -17

3x   -  

400

3

9.  x =  

-11

2y  +  

263

2

-11x = -9 - 2y

10.   24y = 484 - 10x

y =  -5

12x   +  

121

6

11.   x - 17y = 4533x + 4y = -236

12.   -7

10y  +  

104

5  = x

y =  7

10x   -  

43

5

Page 8: Linear Equations Worksheet 1

 

Name _____________________________ Date ___________________

Linear Equations(Answer ID # 0419976)

Write the slope-intercept form of the equation.

1.   3x - 2y = 12 2.   x + y = 7 3.   -13

  +  6y  = x

4.   -2y = 24 + 6x 5.   49x - y = 558 6.   3x + 14y = -56

7.   -1

6y  -  

1

6  = x

8.   10x - 3y = 56 9.   -13

6=  

-1

6y  +  1x

10.   -14x = 1322 + 48y 11.   9x + 16y = 528 12.   18x = 636 + 38y

13.   2x + 15y = -402 14.  x =  4  -  

5

4y

15.   8x + 3y = 1

16.   7x - 2y = -39 17.   7

3y  -  7  = x

18.   9x - 50y = 167

Page 9: Linear Equations Worksheet 1