Algebra Quiz

The expression 8x - 5y + 4x - 3y +2x - y is equal to

• 14x -9y

• 12x -6y

• 9x -14y

• 12x -8y

• 12x -14y

The value of x in the following equation is:

6(3 - x) + 2 (3− x) = 0

• 2

• 5

• 3

• 4

• 1

When x = 5, the value of x(x-1)(x-2)(x-3)(x-4) is

• 120

• 60

• 100

• 80

• 200

John and Smith had 1800 dollars.

John had three times as many as Smith had.

How many dollars did Smith have?

• 1000

• 450

• 900

• 800

• 500

Answer explanation

John and smith together had 1800. John had 3 Times as many as Smith. Therefore

J = 3x

S = x

x + 3x = 1800

4x = 1800

x = 450

If 70 workers complete a work in 14 days. 

Find the number of days required to complete the same by 10 workers. 

• 95 days

• 98 days

• 96 days

• 92 days

• 99 days

Answer explanation

x/14 = 70/10

x = 98

In a mineral water bottle factory, 6 identical machines can produce 900 bottles per minute. At this rate, how many bottles could 10 such machines produce in 5 minutes?

• 108

• 5400

• 2700

• 1500

• 7500

Answer explanation

Number of machines – 6: 10

Number of minutes– 1: 5

Number of bottles = 900: 𝑥

6*1/900 = 10*5/𝑥

𝑥 = 50 x 900/6

𝑥 = 7500

10 machines can produce 7500 bottles in 5 minutes

A 45 cm long piece of timber is cut into two parts A and B.

Part A is twice as long as Part B

What is the length of Part B?

• 20 cm

• 6 cm

• 15cm

• 18 cm

• 12 cm

Answer explanation

A = 2x

B = x

3x = 45cm

x = 15cm

Karen had 3 times as many pencils as Sharon. After throwing away 10 pencils, Karen had Twice as many as Sharon. How many ribbons did they have all together originally?

• 40

• 10

• 20

• 30

• 50

Answer explanation

K = 3s

K - 10 = 2s

3s - 10 = 2s

3s -2s = 10

S = 10

K = 30

Sarah spent 480 dollars to purchase 5kg of apples and 2kg of mangoes. 

Find the price of 1kg of apples if the rate of apples is double the rate of mangoes.

• $70

• $40

• $60

• $80

• $90

Answer explanation

Let rate of 1kg mangoes = x

Then rate of 1kg apples = 2x

Total purchase = 5 × 2x + 2x 

= 480

12x = 480 

x = 40   

Rate of 1kg apples = 2x = 80

Mary, Peter, and Lucy were picking chestnuts.

Mary picked twice as many chestnuts as Peter. Lucy picked 2 kg more than Peter.

Together the three of them picked 26 kg of chestnuts.

How many kilograms did Lucy pick?

• 12

• 6

• 10

• 8

• 13

Answer explanation

If Peter picked P kg then Mary would have picked 2P and Lucy (P+2) kg.

So, P + 2P + (P+2) = 26.

4P + 2 = 26.

P = 6.

Hence Lucy picked 6 + 2 = 8 kg.