Worksheet #1 (§3 – 2) Rewriting Linear Equations Rewrite ...

Algebra II

Name:

Worksheet #1 (?3 ? 2)

Rewriting Linear Equations

Rewrite each linear equation in Slope-Intercept Form. (See Notes, p.3)

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

2 x + 3y = 4 3x - y = 2 x + 5y = 10 x -y = 3 x + y = -2 5 x + 6y = 30 3x + 2y = 6 3 x - 5y = 15 x + 2y = 5 3x - 4y = 2

SLOPE-INTERCEPT FORM

y = mx + b

or y = ___ x ? ___

the coefficient of y must be positive 1.

Rewrite each linear equation in Standard (General) Form.

11.

y = 1 x -3 2

STANDARD (GENERAL) FORM

12. 13. 14.

15.

16.

17.

y = x -4

y = -x + 5

y = 2x - 7

y = 2 x -4 3

y =-5x- 3

2

2

y = -6 x + 1

Ax + By = C

or ___ x ? ___ y = ____

A, B and C must be integers (not fractions).

A must be positive.

18.

19.

20.

y = 3 x -1 5

y =-3x+ 1

4

2

y = 3x - 1 2

Answers:

1.#y

=

-

2 3

x+

4 3

##3.#y

=

-

1 5

x

+

2##5.#y

=

-x

-

2##7.#y

=

-

3 2

x+3

9.#y

1 =-2

x+

5 2

##11.# x

-

2y

= 6##13.#x + y

= 5##15.#2x - 3y

= 12

17.#6x + y = 1##19.#3x + 4y = 2

Worksheets

Algebra II

Name:

Worksheet #1 (?3 ? 2) Rewriting Linear Equations ? Version 2

Rewrite each linear equation in Slope-Intercept Form. (See Notes, p.3)

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

2 x - 3y = 8 3x - y = 1 x - 5y = 1 x +y =2 x - 2 y = -2 6 x - 5y = 30 2 x - 3y = 6 5 x + 3y = -15 x - 2 y = -3 4 x - 3y = -9

SLOPE-INTERCEPT FORM

y = mx + b

or y = ___ x ? ___

the coefficient of y must be positive 1.

Rewrite each linear equation in Standard (General) Form.

11.

y =-1x+ 5

2

2

STANDARD (GENERAL) FORM

12.

13.

14.

15.

16.

y =x +4 y = -x + 1

3 y = 2x + 1

2 y =-2 x +2

3 y = 6x - 3

Ax + By = C

or ___ x ? ___ y = ____

A, B and C must be integers (not fractions).

A must be positive.

17. 18.

19.

y = -0.5 x + 1

y = 3x- 1

5

2

y = 3x+ 1

2

4

20. y = 2 x - 1 3

Worksheets

Algebra II

Name:

Worksheet #2 (?3 ? 3)

PART 1

Find the slope of the line through the given points.

Slope of a Line

1. (8 , 4) , (6 , 5)

2. (0 , 7) , (2 , 3)

( ) ( ) 3. -2 , -3 , 0 , -1

( ) ( ) ( ) ( ) 4. -8 , -7 , -6 , -4

5. -4 , 2 , -6 , 5

6. (-5 , 3) , (6 , 5)

7. (6 , 3) , (2 , 0) 8. (0 , -3) , (3 , -1) 9. (2 , 4) , (-3 , 4)

( ) ( ) ( ) ( ) ( ) ( ) 10. -6 , 3 , -4 , 5 11. -4 , 3 , 4 , 9

12. 4 , 8 , 1 , 3

( ) ( ) ( ) ( ) ( ) ( ) 13. 5 , -2 , 5 , 0

14. 7 , -6 , -5 , 2 15. 1 , 2 , -3 , -4

Find the slope of the line with the given equation.

16. y = 2 x - 1

17. 3 x + 2 y = 6

19. 2 x + 5y = 10

20. y = 3

22. y = 8 - 2 x

23. 3 x - 5y = 10

25.

28.

31.

y + 4 x = 12

y -3=-2 x 3

3x = 2y - 6

26.

29.

32.

y + 1 x = -2 5

x - 3y = 9 y = -4 x

34. 37. 40.

43.

2 x - y = -4 3x + y = 8 4x - 3y = 9 y = 2 x +3

5

35.

38. 41.

44.

y = 9 - 3x 6x + 4y = 8 3y - 9 = -2 x

y = -5 x - 2

18. 21. 24. 27.

30.

33. 36. 39. 42. 45.

y = 3x - 2 y +4=0 x =2

y+x =0

3x - 5 = 0 3x - y = 6 x = 8-y x + 5y = 5 3x - 5y = 5

y = x -4

PART 2

For #16 ? 45, find the coordinates for y-intercept of the line with the given

equation.

Worksheets

Answers:

1.#-

1 2

##3.#1##5.#-

3 2

##7.

3 4

##9.#0##11.#

3 4

#13.#undefined##15.##

3 2

##17.#-

3 2

#19.#-

2 5

##21.#0##

23.#

3 5

##25.#-4##27.#-1##29.#

1 3

##31.#

3 2

##33.#3##35.#-3##37.#-3##39.#-

1 5

##41.#-

2 3

##43.#

2 5

##45.#1

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