5.03 Solving contextual problems with integers
Interactive practice questions
Valentina and Maria want to meet at the cinema to watch a movie. Valentina lives $3$3 km west of the cinema, and Maria lives $5$5 km east of the cinema.
In the images below, the distance between each tick is $1$1 km. Which image shows the location of Valentina and Maria in relation to the cinema?
If we let $0$0 be at the cinema, and east to be the positive direction, which number line shows the location of Valentina and Maria in relation to the cinema?
How far would Maria have to travel to get to Valentina’s house?
At the start of the month, Laura owes $\$60$$60 to the bank. A week later her employer deposits $\$130$$130 into her account.
The image below shows how the location of a miner travelling up and down a mine shaft relates to an integer on the number line.
Let the present year be represented by the integer $0$0, the years into the future by the positive integers, and the years into the past by the negative integers. Use the number line to answer the following questions.