# Simple Equations Module 2

## Keep up the good work.

### #1. s + 99 = 127.8

s † 99 = 127.8

Subtract 99 from both sides

s † 99 – 99 = 127.8 -99

s = 28.8

### #2. 6k = 96

6k = 96

Divide both sides by 6

6k/6 = 96/6

k = 16

### #3. w – 478 = 205

w – 478 = 205

w – 478 † 478 = 205 † 478

w = 683

### #4. Lifematics sold 508 fraction cut outs at TOSSE and 482 fractions cut outs at LTC, how many fraction cut outs did Lifematics sell altogether?

Let all the fraction cut outs sold be q

508 † 482 = q

990 = q

### #5. If I add 28 to a number, the result is 57. What is the number?

Let the number be f

28 f = 57

Subtract 28 from both sides

28 † f – 28 = 57 – 28

f = 29

### #6. m – 0 = 39

m – 0 = 39

m – 0 † 0 = 39 † 0

m = 39

### #7. p/4 = 32

p/4 = 32

Multiply both sides by 4

p/4 × 4 = 32 × 4

p = 128

### #8. Ramsum was told to cut out 721 butterflies on paper. If he has cut 402 butterflies out, how many butterflies are left to cut out?

Let the butterflies left be u

u = 721 – 402

u = 319

### #9. 4d = 60

4d = 60
Divide both sides by 4
4d/4 = 60/4
d = 15

### #10. 4 times a number is 64, what is the number?

Let the number be v

4v = 64

Divide both sides by 4

4v/4 = 64/4

v = 16

### #11. Layodd bought 3800m of fabric. If she shares the fabric among 5 retail traders, how many metres of fabric did each retail trader get? (Hint: Don’t forget your unit)

Let the fabric gotten by each reader be x

3800 ÷ 5 = x

3800m/5 = x

760m = x

### #12. 4597 – a = 3890

4597 – a = 3890

4597 – a † a = 3890 † a

4597 = 3890 † a

Subtract 3890 from both sides

4597 – 3890 = a

707 = a

### #13. If I subtract 74 from a number, the result is 49. What is the number?

Let the number be w

w – 74 = 49

w – 74 † 74 = 49 † 74

w = 123

### #14. If half of a number is 125, find the number

Let the number be n

½(n) = 125

Multiply both side by 2

½ n × 2 = 125 × 2

n = 250

### #15. What must be added to 157 to make 647

Let the number be e

157 † e = 647

Subtract 157 from both sides

157 † e – 157 = 647 – 157

e = 490

### #16. 12z = 120

12z = 120

Divide both sides by 12

12z/12 = 120/12

z = 10

### #17. 4683 + g = 9377

4683 † g = 9377

Subtract 4683 from both sides

4683 † g – 4683 = 9377 – 4683

g = 4694

### #18. Darasimi made 246 cupcakes. If she puts 4 chocolate chips on each cupcake, how many chocolate chips were used in total?

Let the total number of chocolate chips used be r

286 × 4 = r

984 = r

### #19. 7 times a number is 406. Find the number.

Let the number be g

7g = 406

Divide both sides by 7

7g/7 = 406/7

g = 58

### #20. b /3 = 25

1/3b = 25

Multiply both sides by 3

1/3b × 3 = 25 × 3

b = 75