# 1.05 Practical 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.

a

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?

A

B

C

D

A

B

C

D
b

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?

A

B

C

D

A

B

C

D
c

How far would Maria have to travel to get to Valentina’s house?

Easy
Approx 2 minutes

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 traveling up and down a mine shaft relates to an integer on the number line.

William arrives to a meeting $15$15 minutes early, and he leaves as soon as the meeting ends, $75$75 minutes after he got there.

### Outcomes

#### 7.NS.3

Solve real-world and mathematical problems involving the four operations with integers and other rational numbers.