Algebra in outback

add/subtract

100

Haley ate one apple in the morning and 2 apples in the evening while she was grazing her sheep. How many apples did she eat? Write the answer using a variable and simplify it.

a + 2a

=3a

200

Haley had 5 sheeps in total but lost 2 while coming home. Write an algebraic expression for this statement and simplify it.

5s - 2s

3s

300

When Haley came home she gave 2 apples, 2 carrots and 2 other things to her sister but her sister gave an apple back to her. Express in the form of an algebraic expression and simplify further.

2a + 2c +2 -a

= a+ 2c + 2

400

Haley's sister told her she was playing in the yard and found 35 pebbles and 35 other things. Express this in the form of an algebraic equation.

35c + 35

Cannot be simplified further.

500

3a²+5a-a+2

3a²+4a+2b

multiply/divide

100

Next morning Haley again took her sheeps for grazing and saw 2 cows. Haley fed them some bread which is expressed as 2c=4. find out how much bread she feed each cow.

2c=4

divide both sides by 2

c=2

Each cow was given 2 breads.

200

Haley thought of using her algebric knowledge to solve the below equations while waiting for her sheeps.What do you think haley would have done?

 -b² x cb

-b³c

300

She really enjoyed solving algebric equations so she solved another one below.What should be Haley's answer so that it is a correct response.

-c⁴ab / ca

-c³b

400

-a² x -b²c³a⁵

a⁷b²c³

500

While bringing her sheeps back she tought of a hard problem that she would ask her sister to solve.Can you solve it?

-21a²bc⁴ / -3abc

7ac³

expand

100

Haley bought apples and banana which are expressed as algebric equation below.How many apples and banans she bought.

2(a+b)

2a + 2b

200

3(a² + 2b)

3a² + 6b

300

-5(b²-6a)

-5b²+30a

400

5a( 2+ 3b+ a)

10a + 15ab + 5a²

500

-7a(a²-ab+3b²)

-7a³ + 7a²b - 21ab²

factorise

100

5x+5

5(x + 1)

200

-7a-7

-7(a+1)

300

3b-18

3(b-6)

400

2a² + 6a + 14a³

2a(a + 3 + 7a²)

500

-50x + 10xy - 5x²y²

-5x(10-2y+xy²)

finding unknown

100

Haley bought green apples which at avery high piece. Can you find the price of one apple using teh equation below where a = price of one apple. a+3=4

a=1

One apple was for $1

200

She then chose to buy some expensive kiwi. If K represent price of kiwi in the equation . what is the cost of one kiwi 

24-k=10

k=14

300

Haley first bought one red  apple then she decided to buy 3 more apples . Use the following equation to find the cost of one apple where a represent cost of one apple.

a+ 10 +3a = 30

a=5

400

a-4a+6-a=10

a=-1

500

Lily built a pool in her backyard but she doesn't know the length of the pool. The builder said that the total fencing required is 25m and the width of the pool is 5 m. Write the algebraic equation referring to length as x.

10 + 2x = 25

2x= 25 - 10

2x=15

x=7.5m