Simultaneous Equations

Simultaneous Equations

By Teacher Jannah

Multiple Choice

Solve:

3x+y=13x+y=1   

x-2y=19x−2y=19

• x=−4, y=3

• x=3, y=−8

• x=3, y=−4

• x=4, y=8

Multiple Choice

Solve

 3x + 4y = 7 

5x−2y=16

• x = 3, y = −1/2​

• x=1/2​, y=−3

• x=−3, y = 1/2

• x=−1/2​, y=−3

Multiple Choice

Solve 

3x−4y=11  

5x+6y=12

• x=0.5, y=−3

• x=3, y=−0.5

• x=3, y=0.5

• x=6, y=2

Multiple Choice

Solve 

2x+3y=0

x−3y=9

• x=2, y=−3

• x=−3, y=2

• x=3, y=−2

• x=−2, y=3

Multiple Choice

 

Work out the point of intersection of the lines 

y=4x-8 and  y=2x+3

• (7, 5.5)

• (3, 14)

• (11, 14)

• (5.5, 14)

Multiple Choice

Penny buys 5 adult tickets and 3 child tickets for the theatre.

The tickets cost her a total of £164.

Barney buys 4 adult tickets and 4 child tickets at a total cost of £152.

Find the cost of one adult ticket and one child ticket.

• Adult = £25

  Child = £13

• Adult = £34

  Child = £15

• Adult = £30

  Child = £17

• Adult = £40

  Child = £13

Multiple Choice

A café sells baguettes and sandwiches. 

The first customer buys 3 baguettes and 4 sandwiches for £27. 

The second customer buys 2 baguettes and 3 sandwiches for £19. 

Find the cost of each item.

• Baguettes £2 Sandwich £4

• Baguettes 3 Sandwich £3

• Baguettes £6 Sandwich £4

• Baguettes £5 Sandwich £3

Multiple Choice

50 tickets were sold for a concert. Adult tickets cost £5 and child tickets cost £2. The total money taken from the sale of the tickets was £160. Find the number of child tickets sold and the number of adult tickets sold.

• children 30

  Adult 20

• children 15

  Adult 25

• children 20

  Adult 30

• children 10

  Adult 20

Multiple Choice

A football team played 35 games last season. The team receives 3 points for a win, 1 point for a draw and no points for a loss. The team lost 9 games and ended the season with 58 points. Find how many wins and draws the team had last season

• 16 draws

  10 win

• 14 wins

  12 draws

• 16 win

  10 draws

• 12 wins

  14 draws