Question 1

The sum of two consecutive numbers is 477. What are the numbers? (Let the first number be x.)

Question 2

Find x and the size of each angle in this triangle. The angles are: 6x + 20, 4x, and 80 – 2x.

Question 3

Find the value of x and the perimeter of this rectangle. The perimetes are: 6x + 20, 4x, 80 – 2x, 4x + 5, and x + 4

Question 4

The result of doubling a certain number and adding 17 is the same as trebling (multiplying by 3) that number and adding 4. What is the number?

Question 5

A kind teacher gives you 20 cents for every question you get right, but you have to pay the teacher 10 cents for every question you get wrong. After 30 questions, you have made a profit of $1.80.

a) Form an equation with x representing the number of questions you got right.

b) Solve your equation to find how many questions you got right.

Question 6

A cup of tea costs 10 cents less than a cup of coffee, while a cup of hot chocolate costs 20 cents more than a cup of coffee. Three cups of coffee, five cups of tea, and two cups of hot chocolate cost $8.90. The cost :costs: Tea: (x – 10) c, Coffee: x c, and Hot Chocolate: (x + 20).

a) Form an equation with x representing the price of a cup of coffee.

b) Solve your equation to find the price of a cup of coffee.

Additional Question 1

The sum of three consecutive even numbers is 222. Find the numbers.

Additional Question 2

John and Amelia have a baby daughter, Sonia. John is 23 kg heavier than Amelia, who is four times as heavy as Sonia. Their combined weight is 122 kg. How heavy is each person?

Additional Question 3

A father is three times as old as his son. In 14 years’ time, he will be twice as old as his son. How old is the father now?