Unit 2 - Algebra

Writing an Equation

100

The sum of five times a number x and three is the same as fifteen.

5x + 3 = 15

200

Four times the difference of b and six is equal to b squared.

4(b-6) = b²

300

One have of m cubed is the same as four times m minus nine.

1/2 m³ = 4m - 9

400

Four fifths is equal to ten sixteenths of a number.

4/5 = 10/16 x

500

Three and two-thirds times a number equals two ninths.

3 2/3x = 2/9

Solving Equations

100

x - 9 = 4

13

200

-6 + g = -11

-5

300

5/9 + w = 7/9

2/9

400

a/12 = 5

60

500

2/5b = -4

-10

Multi-Step Equations

100

2d - 4 = 8

6

200

14 = -8 - 2k 

-11

300

6g - 3.5 = 8.5

2

400

n/4 - 7 = -2

20

500

.2c + 4 = 6

10

Variable on both sides

100

8m + 7 = 5m + 16

3

200

21 + 3j = 9 - 3j

-2

300

3(p + 4) = 33

7

400

-2(b -3) - 4 = 18

-8

500

4(3w - 2) = 8(2w + 3)

-8

Percent of change

100

Original: 40, New: 50

increase 25%

200

Original: 36, New: 24  

decrease 33%

300

Original $72; New $60

Decrease 17%

400

Digital Media Player $69.00; Discount 20%

$55.20

500

Hockey Skates $199; Tax 5.25%

$209.45