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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