11MMST Formulas and Equations Revision

Substitution and formulas

100

Substitute  a=2, b=-3 and c=4 into the expression

a+b+c

3

200

Substitute  a=2, b=-3 and c=4 into the expression

a-b-c

1

300

Substitute  a=2, b=-3 and c=4 into the expression

2a+3b+4c

11

400

Substitute  a=2, b=-3 and c=4 into the expression

a+b^2+\sqrtc

13

500

Substitute  a=2, b=-3 and c=4 into the expression

(a+b)/(b+c)

-1

Simplify and expand

100

Simplify 

4x+6y+4x+3y

8x+9y

200

Simplify 

4x+6y-4x-3y

3y

300

Simplify 

4x-6y+4x-3y

8x-9y

400

Expand and simplify

4(x+3)+2(5-x)

2x+22

500

Expand and simplify

4(x+3)-2(5-x)

6x+2

Solve linear equations

100

Solve the equation

5x+3=33

x=6

200

Solve the equation

5x-3=32

x=7

300

Solve the equation

x/5+30=33

x=15

400

Solve the equation

5(x+3)=30

x=3

500

Solve the equation

x/5+x/2=3

(2x)/10+(5x)/10=3

(7x)/10=3 

7x=30 

x=30/7

Change the subject

100

Make h the subject of

A=(b+h)/2

h=2A-b

200

Make b the subject of

A=(b+h)/2

b=2A-h

300

Make r the subject of

C=2pir

r=C/(2pi)

400

Make y the subject of 

2y-4x=10

y=2x+5

500

Make y the subject of 

2y+4x-10=0

y=-2x+5

Worded Problems

100

Write equations for the worded problem using n for the unknown number

" A number is doubled to give 41"

2n=41

200

Write equations for the worded problem using n for the unknown number

" A number is doubled, then added to 5 to give 41"

5+2n=41

300

Write equations for the worded problem using n for the unknown number

" A number is added to 5, then the result is doubled to give 41"

2(n+5)=41

400

Write equations for the worded problem using n for the unknown number

"Half of a number is subtracted from 5 to give 41."

5-n/2=41

500

The sum of two consecutive integers is 583. What are the integers?

n+n+1=583

2n+1=583

2n=582

n=291, n+1=292