Linear Equations in Two Variables Test

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Linear Equations in Two Variables Test - 11

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Weekly Quiz Competition

Question 1
1 / -0

Use the following information to answer the next question.

A number is 37 less than 7 times another number. The first number be y and the other number be x.

The relation between x and y is correctly represented by which of the following algebraic expressions?

A
y = 7x − 37

B
y = 7x + 37

C
x = 7y − 37

D
x = 7y + 37

Solution

The algebraic expression that correctly represents the given relation between x and y is y = 7x − 37

The correct answer is A.

Question 2

1 / -0

Use the following information to answer the next question.

The given table shows the marks obtained by Joey in five successive mathematics tests:
Test (x)	1	2	3	4	5
Marks scored (y)	4	8	12	16	20

Which of the following algebraic rules satisfies the given table?

y = x + 4

x = y + 4

y = 4x

x = 4y

Solution

Marks scored in 1^st test = 4 × 1 = 4

Marks scored in 2^nd test = 4 × 2 = 8

Marks scored in 3^rd test = 4 × 3 = 12; and so on

Thus, the rule for the given table is y = 4x

The correct answer is C.

Question 3

1 / -0

Use the following information to answer the next question.

In a farm, the number of mango trees is 4 more than 5 times the number of apple trees.

Which of the following tables correctly represents the relationship between the number of mango trees and apple trees?

Apple trees
60 75 90 105 120 135 150

Mango trees
300 370 450 520 600 670 750

Apple trees
60 75 90 105 120 135 150

Mango trees
304 379 454 529 604 679 754

Apple trees
60 75 90 105 120 135 150

Mango trees
305 380 455 530 605 680 755

Apple trees
60 75 90 105 120 135 150

Mango trees
306 377 456 527 606 677 756

Solution

Number of apple trees = x

Number of mango trees = y = 5x + 4

x = 60, y = 5 × 60 + 4 = 300 + 4 = 304

x = 75, y = 5 × 75 + 4 = 375 + 4 = 379

x = 90, y = 5 × 90 + 4 = 450 + 4 = 454

x = 105, y = 5 × 105 + 4 = 525 + 4 = 529

x = 120, y = 5 × 120 + 4 = 600 + 4 = 604

x = 135, y = 5 × 135 + 4 = 675 + 4 = 679

x = 150, y = 5 × 150 + 4 = 750 + 4 = 754

The required table is:

Apple trees	60	75	90	105	120	135	150
Mango trees	300	370	450	520	600	670	750

The correct answer is B.

Question 4
1 / -0

Use the following equation to answer the next question.

{m + 10} × 6 = {(n × 2) + 10} × 6

Which of the following equations is correct?

A
m + 10 = (n × 2) + 6

B
m + 10 = (n × 2) + 10

C
m + 60 = (n × 2) + 10

D
m + 6 = (n × 2) + 10

Solution

Equals multiplied by equals are equal.

Hence, {m + 10} × 6 = {(n × 2) + 10} × 6

⇒ m + 10 = (n × 2) + 10

The correct answer is B.