Framing Equations

If you multiply a number by 3 and then subtract 5, the result is 19. What is the original number?

• 4

• 6

• 8

• 9

Tom bought 5 candies and 3 toys. If each candy costs $2 and each toy costs $5, write an equation to represent the total cost (C) in terms of candies (x) and toys (y).

• C = 2x + 3y

• C = 3x + 2y

• C = 5x + 2y

• C = 2x + 5y

Lisa is 8 years old and her sister is 3 years younger than her. Write an equation to represent the age of Lisa's sister (S) in terms of Lisa's age (L).

• S = L - 3

• S = L + 3
  

• S = 8 - L

• S = L - 8

A father and his son decide to sum their age. The sum is equal to sixty years. Six years ago the age of the father was five times the age of the son. Six years from now the son’s age will be:

• 23 yrs

• 19 yrs

• 20 yrs

• 22 yrs

The sum of two numbers is 18, and the product of these two numbers is 56. So, the two numbers are 14 and 4. Is the statement correct ?

• True

• False

The difference of two positive integers is 4, and the product of these two integers is 140. What are the numbers?

• 10 and 6

• 14 and 10

• 18 and 4

• None

John is 16 years younger than Alison. If the sum of their ages is 30, how old is John?

• 7 yrs

• 8 yrs

• 9 yrs

• 6 yrs

John's age is 15 years, and his father is three times as old as him. How old is John's father?

• 12 yrs

• 24 yrs

• 45 yrs

• 36 yrs

A bag of apples costs $5. If Mark wants to buy 7 bags of apples, how much will he have to pay in total?

• $25

• $27

• $35

• $20

John is 5 years older than twice the age of his sister. If John's age is represented by 'J' and his sister's age is represented by 'S', which of the following equations correctly represents their ages?

• J + S = 5

• J = 5S

• J = 2S + 5

• J - S = 5