Simultaneous Equations

Substitution

100

y = 3x + 1

y = 6x + 10

x = -3 , y = -8

200

y = -2x + 13

y = 4x - 11

x = 4, y = 5

300

4x + 2y = -20

y = x - 4

x = -2, y = -6

400

5x - y = 21

y = -7x + 15

x = 3, y = -6

500

y = -8x - 3

8x + 4y = 12

x = -1, y = 5

Elimination

100

4x + 9y = 29

6x - 9y = 21

x = 5, y = 1

200

2x - 2y = -18

5x + 2y = -24

x = -6, y = 3

300

-5x - 6y = 14 

3x - 6y = -18

x = -4, y = 1

400

-8x + 2y = 28

-8x - 7y = 10

x = -3, y = 2

500

-2x - 4y = 8

-5x - 4y = -10

x = 6, y = -5

Linear equations

100

solve for y 

y-5=9

y=14

200

solve for a 

2a+3=3a-2

a=5

300

solve for x 

8/(x-4)=4

x=6

400

solve for b 

2b/(b+4)=6/5

b=6

500

Solve for a 

4/(a+6)=8/2a

a=3

Word Problems

100

1 ruler and 2 pens cost £1.55

3 pens cost £1.20

How much does a ruler cost?

75p

200

3 songs and 5 films cost a total of £28 

3 songs and 2 films cost a total of £13

How much does each cost seperately?

Songs = £1

Films = £5

300

Two numbers have a sum of 20 and a difference of 8. What are the numbers?

14 and 6

400

Paul collects baseball cards and football cards. The number of baseball cards is 10 more than twice the number of football cards. In total, Paul has 70 cards. How many of each type card does Paul have?

20 Football cards

50 Baseball Cards

500

Mayfield High School sold tickets for a school musical. Seats in the auditorium cost £6 each and balcony seats cost £4. A total of 200 tickets was sold and £960 was collected. How many of each type of ticket was sold?

120 Balcony Seats

80 Auditorium Seats

Random

100

What is the continent with the lowest population

Antartica

200

What is the closest planet to the sun

Mercury

300

What was the first soft drink in space?

Coca Cola

400

Which food never turns bad?

Honey

500

Io, Europa, Ganymede and Callisto are the 4 biggest what? 

Moons of Jupiter