Algebra - Trimester 1 & 2

Simplify

100

11k - ( k+ 3)  + 2

10k- 1

200

6( n - 8) - 4n

2n - 48

300

-2(2x - 5) + 5x + 6

x + 16

400

8b + 3(2b + c) - 3

14b + 3c -3

500

x - 5(y + 2) + (3y - x)

-2y - 10

solve by substitution

100

y = 3,   x + y = 5

2,3

200

-3x + y = 1,   4x + y = 8

1,4

300

2x + y = 5,    y = x - 4

3, -1

400

x + 3y = 4,    -x + 2y = 6

-2, 2

500

x + 2y = 7,    4x + 3y = 3

-3, 5

writing linear functions

100

x|y

4|3

2|0

0|-3

y = - 3/2 x - 3

200

x |y

3 |3

0 |5

-3|7

y = - 2/3 x + 5

300

x |  y

4 |7

0 | 0

-4|-7

y = 7/4 y

400

x |y

5 |-2

10|-6

15|-10

y = - 4/5x + 2

500

x |y

-4|5

-2|6

4 |9

y =  1/2 x+ 7

solve

100

6y - (2y - 5) = 29

y = 6

200

8(3m + 5) = 2m - 4

m = -2

300

6x + 10 = 4x + 19

x = 9/2

400

5a - (8 - a) = 4a - 10

a = -1

500

7n - 2 = 6n - 2n 

n = 2/3

solving systems of equations

100

x - 3y = -15,   5x + 3y = -3

-3, 4

200

4x - 2y = 12,  x + 2y = 8

4,2

300

2x + 6y = 6,   2x - y = -8

-3, 2

400

2x  + 2y = 120,   x - 2y  = 24

48, 12

500

x + y = 5,   x - 3y = 3

4 1/2, 1/2