Beast Academy 5

Proportions

100

9/10 = 4/a

40/9 or 4 4/9

200

2/9=w/3

w=2/3

300

15/7=20/n

n=28/3 or 9 1/3

400

(x-3)/7=2/5

x=29/5 or 5 4/5

500

(x+2)/4 = x/2

x=2

Expressions with variables

100

2a+9b

for a=2 and b=5

49

200

-6b+4c=2

for b=5 and c=8

2

300

7b+a-8b

for a=2 and b=5

-3

400

3y+15x-4x

for x=3 and y=-2

27

500

15t+15s+4t-11+7s+9t+8t

if r=5, s=4, t=2

149

Evaluating expressions

100

(10-4)/2

3

200

(3^3)+(2^3)

35

300

3*(16/5)+7*2

118/5 or 23 3/5

400

3*(16+7*2)/5

18

500

6+(15/3)^2*5

131

Solving equations

100

4k+6=70

k=16

200

(t-5)/-3=-12

t=41

300

4*(21+b)/5

b=24

400

9+6x=11x-6

x=3

500

9(5g-8)=10g-2

g=2

Integers

100

-2-9=?

-11

200

3*(-8)*(-5)

120

300

-100/25

-4

400

-1*2*-4*6*1*-1

-48

500

-12+3(-2)^3

12