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1.15 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
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
c

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

Easy
1min

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.

Medium
1min

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.

Easy
< 1min

Maximilian is going to cook a pot roast. He turns the oven on to warm it up. He puts the pot roast in the oven $15$15 minutes later when it is at the right temperature. The pot roast is ready $120$120 minutes after Maximilian first turned the oven on.

Easy
1min
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Outcomes

MA.6.NSO.4.1

Apply and extend previous understandings of operations with whole numbers to add and subtract integers with procedural fluency.

MA.6.NSO.4.2

Apply and extend previous understandings of operations with whole numbers to multiply and divide integers with procedural fluency.

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