Negative Numbers
Conversions
Absolute Value
Word Problems
100

-3 + (-5)=

-8
100

3/4 as a decimal

0.75

100

|-12|

12

100

A mountain climber is at 120 meters above sea level. She descends 75 meters, climbs 30 meters, then descends 50 meters. What is her final altitude?


25 meters above sea level

200

-4+7-(-2) = 

5

200

62.5% as a fraction

5/8

200

|x-3|=7

x=7, x=-7

200

A baker uses 3/5 of a bag of flour for one batch of cookies. If each bag of flour weighs 2 kg, how many kilograms of flour does he use per batch? Also, express this amount as a decimal and a percent of the bag.

1.2 kg, 60% or 0.6 of the bag

300

-12+(-3)x4-(-6)=

-18

300

11/16 to a decimal 

0.6875

300

|2x+1|=9

9, -9

300

A submarine is at 200 meters below sea level. It rises 75 meters, then descends 50 meters. Using absolute value, what is the total distance it moved underwater, regardless of direction?

125 meters

400
-10x(-2)+5-(-7)x(3)=

46

400

145% to a decimal

1.45

400

|3x-4|+5=12

x=-1, x=11/3

400

A hot air balloon is 120 meters above the ground. It rises or descends, but its height ends up 50 meters from the starting point. Write and solve an absolute value equation to find the balloon’s possible heights.

70 meters or 170 meters

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