Equations

Equations-1

100

Solve the equation!

-2x=12

x=-6

200

4x + 2 = 14

x=3

300

– 2x + 1 = x + 7

x=-2

400

6(x – 3) = 18

x=6

500

2(2y – 3) = 3(2y – 4)

y=3

Equations-2

100

Solve the equation! 

5x=-25

x=-5

200

5x – 3 = 12

x=3

300

6x – 4 = 4x + 10

x=7

400

– 14 = 7(x + 2)

x=-4

500

– 7(1 – 3x) = – 2(5x + 19)

x=-1

Vocabulary

100

Name of the operation, which can also be pronounced as "plus"

Addition

200

Unknown value in math and programming 

Variable

300

The outcome of multiplication

Product

400

Group of several mathematical symbols (numbers, letters, operations) 

Expression

500

Some rule expressed in mathematical symbols and operations

Formula

Text problems

100

Some number was increased by 5, and the result was 11. What was the initial number? 

6

200

Three times a number is equal to 16 minus the number. Find the number!

4

300

The sum of two consecutive integers is 33. Find the integers!

16, 17

400

The sum of 3 consecutive even integers is 132.  Find the smallest integer.

42

500

Roses cost £5 each and geraniums cost £3 each.  I bought 4 more geraniums than roses, and in total I spent £52. How many roses did I buy?

5

Surprise

100

A farmer had 17 sheep. All but 9 of them ran away. How many sheep does she have left?

9

200

A boy is 2 years old. His brother is half as old as him. When the first boy is 100, how old will his brother be?

99

300

Use the numbers 2, 3, 4, and 5 and the symbols + and = to make a true math equation.

2 + 5 = 3 + 4

400

What single digit appears most frequently between and including the numbers 1 and 1,000?

1

500

A farmer is travelling with a fox, a goose, and a bag of beans. During his journey, he comes across a river with a boat to cross it.

The farmer can only fit one thing in the boat with him at a time. If left alone together, the fox will eat the goose or the goose will eat the beans. How does the farmer get everything across the river safely?

1. The farmer brings the goose across the river first (if he leaves the goose alone, it will either eat the beans or be eaten by the fox).
2. The farmer brings either the fox or the beans across and leaves the other one alone.
3. Now the farmer has two items on the other side of the river, including the goose. If he leaves the goose again, the same problem will occur. So, the farmer must bring the goose back to the other side.
4. The farmer brings the other item back (either the fox or the beans) and leaves the goose alone again. The fox and the beans are now on the other side of the river.
5. The farmer returns and brings the goose across the river again.