Linear Equations in Two Variables Test

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Linear Equations in Two Variables Test - 12

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Weekly Quiz Competition

Question 1
1 / -0

Use the following information to answer the next question.

The monthly salary of John is $400 more than twice the monthly salary of Tom.

If the monthly salary of John is $x and that of Tom is $y, then the monthly salary of Tom can be expressed as

A
y = 2x + $400

B
x = 2y + $400

C
y = 4x + $200

D
x = 4y + $200

Solution

Monthly salary of John = $x

Monthly salary of Tom = $y

Twice the monthly salary of Tom means 2 × $y = $2y

$400 more than twice the monthly salary of Tom = $2y + $400

Thus, monthly salary of John = $x = $400 more than twice the monthly salary of Tom = $2y + $400

⇒ x = 2y + 400

The correct answer is B.
Question 2
1 / -0

Usethe following information to answer the next question.

Ray’s age is denoted by x, and Jay’s age is denoted by y.

The expression that shows the difference between the ages of Jay and Ray is

A
x − y

B
x + y

C
x + 1

D
y + 1

Solution

Ray’s age = x

Jay’s age = y

⇒ The difference = x − y

The correct answer is A.
Question 3
1 / -0

Use the following equation to answer the next question.

{m + 10} × 6 = {(n × 2) + 10} × 6

The variable m is equal to

A
n

B
2n

C
3n

D
4n

Solution

Equals added to equals are equal.

Hence, m + 10 = (n × 2) + 10

⇒ m = (n × 2) = 2n

The correct answer is B.

Question 4

1 / -0

The correct table for the relationship y = 7x + 3 is

x 2 4 6 8 10 12 14

y 17 31 45 59 73 87 101

x 2 4 6 8 10 12 14

y 18 30 44 60 70 90 100

x 2 4 6 8 10 12 14

y 20 40 60 80 100 120 140

x 2 4 6 8 10 12 14

y 22 45 67 89 101 122 147

Solution

The relationship is y = 7x + 3

x = 2, y = 7 × 2 + 3 = 14 + 3 = 17

x = 4, y = 7 × 4 + 3 = 28 + 3 = 31

x = 6, y = 7 × 6 + 3 = 42 + 3 = 45

x = 8, y = 7 × 8 + 3 = 56 + 3 = 59

x = 10, y = 7 × 10 + 3 = 70 + 3 = 73

x = 12, y = 7 × 12 + 3 = 84 + 3 = 87

x = 14, y = 7 × 14 + 3 = 98 + 3 = 101

The required table is:

x	2	4	6	8	10	12	14
y	17	31	45	59	73	87	101

The correct answer is A.

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Linear Equations in Two Variables Test - 12

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Linear Equations in Two Variables Test - 12

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Question 1

y = 2x + $400

x = 2y + $400

y = 4x + $200

x = 4y + $200

Solution

Question 2

x − y

x + y

x + 1

y + 1

Solution

Question 3

n

2n

3n

4n

Solution

Question 4

x 2 4 6 8 10 12 14 y 17 31 45 59 73 87 101

x 2 4 6 8 10 12 14 y 18 30 44 60 70 90 100

x 2 4 6 8 10 12 14 y 20 40 60 80 100 120 140

x 2 4 6 8 10 12 14 y 22 45 67 89 101 122 147

Solution

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x 2 4 6 8 10 12 14

y 17 31 45 59 73 87 101

x 2 4 6 8 10 12 14

y 18 30 44 60 70 90 100

x 2 4 6 8 10 12 14

y 20 40 60 80 100 120 140

x 2 4 6 8 10 12 14

y 22 45 67 89 101 122 147