Expressions Equations and Relationship Quiz

If the product of a certain number and 9 is 1368, which of the following algebraic equations is correct?

1. x/9 = 1368
2. 9x = 1368
3. x - 9 = 1368
4. x + 9 = 1368

Answer: (b) 9x = 1368

In a college of 2456 students, the number of boys is 2 times that of girls. Which equation best represents the total number of students in the college if number of girls is y.

1. y + 2y = 2456
2. 2y = 2456
3. y/2 = 2456
4. y x 2y = 2456

Answer: (a) y + 2y = 2456

If Ginny's teacher told her that two times a number is 198, then find the number.

1. 101
2. 89
3. 99
4. 98

Answer: (c) 99

Let "N" be the number of people who voted in village A in 2022. If 35 new people voted in 2023 but 14 of the earlier people did not vote in 2023, then which of the following expressions would represent the number of people who voted in 2023 in village A?

1. N - 14
2. N +14 -35
3. N -35
4. N + 35 - 14

Answer: (d) N + 35 - 14

Sarah is 3 times as old as her younger brother. If the sum of their ages is 28, which expression represents the sum of their ages?

1. 2x + x = 28
2. 2x - x = 28
3. 3x + x = 28
4. 6x = 28

Answer: (c) 3x + x = 28

Fill in the blank: 144 = 6 × ( _ + 2 ) ÷ 3 + 12

1. 64
2. 57
3. 75
4. 48

Answer: (a) 64

Sarah buys books from a dealer for her bookstall. She buys 20 comic books, 15 story books and 10 colouring books. A comic book costs $a. A story book costs $5 more than a comic book and a colouring book costs $10 more than a story book. Sarah gets a profit of $2 on the sale of each comic book. Which of the following expressions shows Sarah's revenue by selling 10 comic books?

1. 10a + 20
2. 20a + 40
3. 20a - 10
4. a + 20

Answer: (a) 10a + 20

If the sum of four consecutive numbers is 138. Find the smallest number.

1. 32
2. 33
3. 28
4. 26

Answer: (b) 33

Diana's age is double the age of her daughter Janet. If the sum of their ages is 54 years, how old is Diana?

1. 27
2. 54
3. 18
4. 36

Answer: (d) 36

In a cricket match, Tom scored 10 runs less than Kevin and Kevin scored 30 runs more than Garry. If the total runs scored by all three of them is 432, which equation best denotes the total runs scored by them if Garry scored x runs?

1. 3x = 382
2. 3x + 48 = 432
3. 3x = 428
4. 4 x + 34 = 432

Answer: (a) 3x = 382