Solving Algebra Word Problems

The sum of 30 and twice an unknown number is 120.

The unknown number is ....

• 90

• 45

• 30

• 60

In a bus of 40 passengers, the number of women is 7 times more the number of the men. How many women are in that bus?

• 5

• 15

• 33

• 35

Wire A is w m long. Wire B is twice as long as Wire A. Wire C is 3 m shorter than Wire B. If the total length of the three wires is 32 m, how long is Wire A?

• 7

• 14

• 21

• 35

At a market, a slice of pineapple cost b¢. And a slice of watermelon cost 3¢ less than a slice of pineapple. Deddy bought 3 slices of pineapple and 5 slices of watermelon. He paid 73¢ for all. How much is a slice of watermelon?

• 65

• 11

• 9

• 8

There are x people on the train. At the next station, 37 people get off and 12 people get on. How many people are on the train now in terms of x?

• x – 25

• x – 49

• x + 25

• x + 49

Tammy cut a long ribbon into some 75 cm pieces. She managed to cut r pieces of ribbon, and there was 40 cm left over. How many cm was the ribbon at first in terms of r?

• 75r – 40

• 75r + 40

• 40 – 75r

• 40r + 75

There are b bicycles and t tricycles on the park. How many wheels in total?

• b + t

• 2b + 2t

• 3t + 2b

• 3t – 2b

The rectangular garden ABCD has a double-track path of width y metres for each track all around it. The outer perimeter of path EFGH is 32 metres more than the perimeter of the garden ABCD. Find the width of a single track in metres.

• 32 m

• 16 m

• 8 m

• 2 m

Shalimar uses a piece of wire 74 cm long to form a rectangle. The length of the rectangle is 10 cm longer than its breadth. What is the breadth of the rectangle?

• 64

• 26

• 13.5

• 12.5

This week, Vogna Cakery School open for some baking classes. They prepare 50 kg of flour in total. During each class, 7kg of flour will be used. How many kg of flour remain after x classes?

• 50 – 7x

• 7x – 50

• 50 + 7x

• 50x – 7