Linear equations-1

1. Solve the following system of linear equations and find the value of x+4y. 4x + 3y = 13 x + 2y = 2

2. Solve the following system of linear equations: 15x - 18 - 2y = -3x + y 10x + 7y + 20 = 4x + 2. Find the value of 6x + y

• 0
• 2
• -1
• 3
• 1

3. For a given two-digit positive integer x, the tens digit is 5 more than the units digit. The sum of the digits is 11. Quantity A: x Quantity B: 38

• A
• B
• C
• D

4. A theater sells children's tickets for half the adult ticket price. If 5 adult tickets and 8 children's tickets cost a total of $81, what is the cost of a child's ticket?

• $9
• $10
• $3.5
• $4.5
• $4

5. Ronan cuts a rope of length 50 inches into 2 pieces. If the length of the first piece is 5 inches more than the second piece, find the length of the longer piece of the rope in inches. (Write your answer as a number only)

6. Adam received 1/3 more votes than Peter in a student election. Which of the following could have been the total number of votes cast for the two candidates?

• 12
• 13
• 14
• 15
• 16

7. Andy has half as many books as Bill, who has one third as many books as Charlie. Which of these can be total number of books three of them have?

• 21
• 12
• 13
• 56
• 69

8. In the first half of a football game, team X was 6 goals behind team Y, whereas in the second half, team Y got "k" goals less than team X. It is also known that team X won the match. Quantity A: k Quantity B: 6

• A
• B
• C
• D

9. Tom purchased a total of $5000 worth of traveler's cheques in $50 and $100 denominations for his vacation. During his vacation Tom cashed 14 cheques and lost all the rest. If the number of $50 cheques cashed was two more or two less than the number of $100 cheques cashed, what is the maximum possible value of cheques that were lost?

• $3800
• $3900
• $4000
• $4100
• None of the above

10. The price of vanilla candy is $x less than twice the cost of a chocolate candy. Their combined cost is less than the cost of 3 vanilla candies. Quantity A: Cost of 4 chocolate candies Quantity B: (8/3)*x

• A
• B
• C
• D