Adding and Subtracting
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100

5+(−3)=

2

100

4×(−3)=

-12

100

A cyclist travels at a constant speed of 4 miles per hour. How far will she travel in 3 hours?

The cyclist will travel 12 miles in 3 hours!


distance = time \cdot rate 

100

x+5=12

x = 7

100

What is the perimeter AND area of the following rectangle? 

 


Perimeter = l+l+w+w = 3+3+4+4 =14

Area = l*w = 3*4 = 12 

200

−7+9=

2

200

−5÷1

-5

200

A swimmer moves at a speed of

\frac(3)(4)

miles per hour. How far will they swim in 2 hours?

The swimmer will swim 1.5 miles (OR 3/2 miles) in 2 hours.

200

4x=20

x = 5

200

Is this a proportional relationship? If so, what is the constant of proportionality? 


Yes it is a proportional relationship. The constant of proportionality is 1/4.

300

−4−6=

-10

300

−6×−2

+12

300

A hiker climbs up a hill at 1.2 meters per second and then descends at  −1.5 meters per second. If the descent takes 10 seconds, how far down did they travel?

The hiker would travel DOWN 15 meters OR the hiker would end up at an elevation of -15 meters 
300

1/2x=6

x = 12 

300

Fill in the following proportional table. 



400

8 − ( − 2 ) =

10 or +10

400

12÷−4

-3

400

A boat travels downstream at 4.5 mph and upstream at 3.2 mph. If it takes 2 hours to go downstream, how far did it travel?

The boat traveled 9 miles downstream.

400

x−(−4)=7

x = 3

400

what is the the diameter and radius of the following circle? 

the diameter = 8cm 

the radius = 4cm 

500

−3+(−5)=

-8

500

−7×3

-21

500

A race car does one lap in 3 minutes at a rate of 120 miles per hour. How long is the track?

you need to convert the 3 minutes to hours, since the rate is miles per hour. 

3/60 = 0.05 

distance = rate \cdot time 

distance = 120 \cdot 0.05

The length of the track is 6miles

500

Jose earned $8 per hour and made $64. How many hours did he work?


Jose worked 8 hours.

500

Find the area of the following circle. 

Area = pi*r^2 = pi *r*r = 25pi cm^2

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