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Year 10 Friday 25/3 - Simultaneous Equations

Total questions: 24

Worksheet time: 2hrs 56mins

Name
Class
Date
1.

Solve:


3x - y = 11

x + y = 5

a)

x = 4

y = 1

b)

x = 4

y = -1

c)

x = -4

y = 1

d)

x = -4

y = -1

2.

Solve:

2x + 3y = 5

x + 3y = 7

a)

x = -2

y = 3

b)

x = -2

y = -3

c)

x = 2

y = 3

d)

x = 2

y = -3

3.

Solve:

2x + 5y = 29

x + 5y = 22

a)

x = 7

y = 3

b)

x = -7

y = -3

c)

x = 7

y = -3

d)

x = -7

y = 3

4.

Solve:

3x + 5y = 4

4x - 5y = -18

a)

x = -2

y = 2

b)

x = -2

y = -2

c)

x = 2

y = -2

d)

x = 2

y = 2

5.

Solve:

3x - 4y = 26

2x - 4y = 20

a)

x = 6

y = -2

b)

x = -6

y = -2

c)

x = -6

y = 2

d)

x = 6

y = 2

6.

Solve:

2x + y = 16

4x - y = 2

a)

x = 3

y = 10

b)

x = -3

y = -10

c)

x = -3

y = 10

d)

x = 3

y = -10

7.

Solve:

4x - y = 17

7x - y = 32

a)

x = 5

y = 3

b)

x = -5

y = 3

c)

x = 5

y = -3

d)

x = -5

y = -3

8.

Solve:

3x + 2y = 15

7x + 2y = 19

a)

x = 1

y = 6

b)

x = -1

y = 6

c)

x = 1

y = -6

d)

x = -1

y = -6

9.

Solve for (x,y)

-2x + 6y = 16

-4x - 3y = 2

a)

(2,2)

b)

(-2, -2)

c)

(-2,2)

d)

(2,1)

10.

Solve for (x,y)

5x + y = 9

10x − 7y = −18

a)

(-4,-1)

b)

(-1,-4)

c)

(4,1)

d)

(1, 4)

11.

Some horses and chickens are in a pasture. If there are a total of 28 animals and 80 legs, how many chickens and how many horses are there? (Hint: Write simultaneous equations and then solve)

a)

10 horses, 18 chickens

b)

16 horses, 12 chickens

c)

12 horses, 16 chickens

d)

18 horses, 10 chickens

12.

Christian had brochures printed for a new business venture. Christian originally ordered 4 boxes of black-and-white brochures and 3 boxes of colour brochures, which cost a total of $134. After those ran out, Christian spent $120 on 3 boxes of black-and-white brochures and 3 boxes of colour brochures. Which simultaneous equations represent this situation?

a)

x+y=134

x+y=120

b)

3x+3y=134

4x+3y=120

c)

4x+3y=134

3x+3y=120

d)

7xy=134

6xy=120

13.
A man has 100 shares of stock A and 200 shares of stock B. The total value is $420. If he sells 50 shares of stock A and buys 60 shares of stock B the value is now $402. Find the price of each share.
a)
A = $2, B = $1
b)
A = $1, B = $2
c)
A = $1.20, B = $1.80
d)
A = $1.80, B = $1.20
14.
A theatre can hold 200 people. If the price of admission is $5 for an adult and $2 per child, find the number of each if the theatre is full and the profit is $577.
a)
59 adults and 141 children
b)
40 adults and 160 children
c)
60 adults and 140 children
d)
41 adults and 159 children
15.
Rectangle A is 3 times longer than rectangle B and twice as wide. If the perimeter of A is 50cm and the perimeter of B is 20cm, find the length and width of A.
a)
15 and 20
b)
5 and 15
c)
15 and 10
d)
5 and 10
16.

What is KEVLAR?

a)

A type of fish.

b)

A type of hair spray.

c)

A type of glass.

d)

A type of bulletproof jacket.

17.

What is "Wu-Tang Clan"

a)

A rap group from New York

b)

A shao-lin warrior monk group

c)

An Aztec assassin group

d)

A Spanish Tango dancing collective

18.

Which country has the longest coastline in the world?

a)

Russia

b)

Canada

c)

Australia

d)

Malaysia

19.

A famous Bob Marley song goes like this: "I shot the sheriff, but I did not..."

a)

... eat the body.

b)

... shot the deputy.

c)

... kill him.

d)

... take his badge.

20.

Number one YouTube channel as of today?

a)

T-Series

b)

CocoMelon

c)

PewdiePie

d)

SET India

21.

Which one of these businesses did NOT belong to Elon Musk at some point?

a)

PayPal

b)

Zip7

c)

Napster

d)

SpaceX

22.

How long is an Olympic swimming pool?

a)

20m

b)

25m

c)

50m

d)

100m

23.

What is another word for "murder"

a)

suicide

b)

lucide

c)

homicide

d)

clandestine

24.

Which one of these languages is NOT one of the official languages of Singapore

a)

Malaysian

b)

English

c)

Mandarin

d)

Korean