Equations

Easy

100

z + 7 = 18

z = 11

200

−25 + b = −18

b = 7

300

−8/9 = z − 4/3

z = 4/9

400

9t = 1/3

t = 1/27

500

− 6/13 = h/8

h = -48/13

Medium

100

5v + 3 = 18

v = 3

200

5(s + 11) = 35

s = -4

300

(d − 7)/4 = 10

d = 47

400

−2(r + 5) − 3 = 5

r = -9

500

x/5 − 3 = 2

x = 25

Hard

100

5k + 7 = k + 19

k = 3

200

4s − 8 = 2s − 12

s = -2

300

3t − 11 = 5 − t

t = 4

400

5(2v + 3) − 7v = 21

v = 2

500

3(m − 4) + 2m = m + 8

m = 5

Worded

100

A square painting had an area of 3500 cm2. What is the side length of the painting correct to 2 decimal
places?

59.16 cm

200

Ray the electrician charges $80 for a call-out visit and then $65 per half hour. Write an equation for his fees, where C is his call-out cost and t is the number of 30-minute periods he spent on the job.

C = 65t + 80

300

My three daughters were each born 2 years apart. Their combined ages come to 63 years. What is the
age of the eldest?

Eldest is 23 years old.

400

A rectangular vegetable patch is (3x + 4) metres long and (2x − 5) metres wide. Its perimeter is
58 metres. What are the dimensions of the vegetable plot?

22 m x 7 m

500

You lend three friends a total of $45. You lend the first friend x dollars. To the second friend you lend
$5 more than you do for the first friend. To the third friend you lend three times as much as for the
second friend. How much does each person receive?

Person 1 = $5. Person 2 = $10. Person 3 = $30.