Algebra A Chapter 1 Review

One Step Equation

100

a + 3 = 17

14

200

-8 + b = 2

10

300

c/6 = 7

42

400

Find the error:

-0.8 + r = 12.6

r = 12.6 - 0.8

r = 11.8

subtracted 0.8 instead of adding 0.8 to both sides

500

-1/4 e = -11

44

Multi-Step Equations

100

12j + 20 = 80

5

200

-9k - 8 = 73

-9

300

1/3 x + 6 = 12

18

400

-3/4 p + 11 = 2

12

500

Find the error:

-2 ( 7 - 3y) = 10

-14 - 6y = 10

-6y = 24

y = -4

Did not distribute correctly, -2 * -3y = 6y, not -6y

Variables on Both Sides

100

26 - 4d = 9d

2

200

5r - 9 = 2r + 12

7

300

10(g + 5) = 2g + 18

-4

400

-9x + 21 = -3x - 11 + 2x

4

500

6x - 7 + 2x + 10 = -3x + 17 - 3

1

Rewriting Equations

100

y - 3x = 13; solve for y

y = 3x + 13

200

20x + 5z = 15; solve for z

z = -4x + 3

300

2k + 4rk = 28; solve for k

k = 14 + 7r

400

2 + 1/6d = 3e + 4; solve for d

d = 18e + 12

500

Formula for power: (Force x distance)/time

P = Fd/t; solve for distance

d = Pt/F

Misc.

100

3| p | = 12

p = 4, -4

200

| -6x | = 30

5, -5

300

4 | n+8| = 56

6, -22

400

-7 |c + 1| = -168

23, -25

500

| 3x + 4 | + 11 = 9

no solution