Inequalities/Rational Numbers
Real World Connection
Find the Difference
Find the Sum
Coordinate Plane
100
Tell if one, both or neither inequalities are True or False:
−3.5 < −3
|−3.5| > |−3|
−3.5 < −3 True
|−3.5| > |−3| True
100
Your house is 50 feet below sea level and you hike up 125 feet. What is your current elevation?
-50 + 125 = +75
100
4 - 9
-5
100
-20 + 18
-2
100
What is point (0,0) called?
Origin
200
Which temperature has the largest absolute value?
a) -6°
b) -15°
c) 12°
d) 1°
-15°
200
One morning the temperature is −28°F in Anchorage, Alaska, and 65°F in Miami, Florida. How many degrees warmer was it in Miami than in Anchorage on that morning?
93 degrees warmer in Florida
200
9 - (-5)
14
200
-8 + (-20)
-28
200
In which quadrant is the point (4,-3)?
IV
300
Place the following points on a number line: 5, −3.5,
9/2 (nine halves), −3, −2 1/2 (two and a half)
In order from left to right
-3.5, -3, -2 1/2, 9/2, 5
300
You have a bank account that began with $50. You withdraw $10 for a hat. You deposit $100 from your birthday. You withdraw $30 for a video game. You earn $20 for doing chores at your aunt’s house and deposit it. What is your current balance?
50 - 10 + 100 - 30 + 20 = 130
300
-10 - 5
-15
300
24 + (-24)
0
300
What is the distance between (5,12) and (5,5) on the coordinate plane?
7
400
What inequality is shown?
x is equal to or greater than 4
x > 4
400
The balance in Sue’s checkbook was –$12.55. The balance in John’s checkbook was –$10.45. Write an inequality to show the relationship between these amounts.
Who owes more? How do you know?
-10.45 > -12.55
Sue owes more, since 12 is larger than 10 she is further in debt
400
-8 - 12
-20
400
23 + (-15) + 6 + (-7)
7
400
The point (2.1,−3.5) is reflected over the x-axis, what is the coordinate of that point of reflection?
(2.1, 3.5)
500
Order these numbers from least to greatest.
-4 , 3.5 , -3 1/2 (negative three and one half) , -3.2 , and -1 3/5 (negative 1 and three fifth)
-4 , -3 1/2, -3.2 , -1 3/5 , 3.5
500
You are traveling a section of the Appalachian Trail in North Carolina and Tennessee. Your map shows the elevations of your hike. After multiple days of hiking you want to know your current elevation. Your hike began at 2500 ft above sea level and traveled up 1200 ft cresting a hill and traveled down 200 ft only to crest another hill that was 1000 ft up. After resting, you traveled into a slight ravine that was 100 ft below the last point and then finished with a huge climb taking you another 1000 ft to a beautiful view. What is your current elevation ?
2500 + 1200 = 3700
3700- 200 = 3500
3500+ 1000 = 4500
4500- 100 = 4400
4400+ 1000 = 5400ft
500
12 - (-13)
25
500
-5 + 32 + (-45) + 7 + 42
27 +(-45) + 49
-18+ 49
31
500
Find the Area of the Triangle
7 (5) ÷ 2 = 17.5