Understand Positive and Negative Numbers
What are integers?
All whole numbers and their opposites.
Write the inequality sign for the given term below:
A. less than or equal to
B. greater than
C. greater than or equal to
D. less than
n/a
Absolute value
Write an inequality that shows:
all values greater than 10
x > 10
What quadrant do the following coordinates belong in:
A. (x,y)
B. (-x,-y)
C. (x,-y)
D. (-x,y)
A. Quadrant I
B. Quadrant III
C. Quadrant IV
D. Quadrant II
How many units is four from zero?
4
A youth football team tries several different plays. The goal of each play is to gain yards. The coach records the result of each play. List the plays from best to worst.
wedge: -3 draw: +2
hook: +4 sweep: 0
flag: -5 toss: -4
hook, draw, sweep, wedge, toss, flag
|40| = ____ because the distance from zero is ___.
40 ; 40
Many visitors to Yellowstone National Park see the geyser Old Faithful. The waiting time between eruptions is more than 59 mins. Write an inequality that represents this.
x > 59
(-3, -1)
What are rational numbers?
A number that can be expressed in the form of a/b where be is not equal to zero.
Some friends play history trivia. Players gain 1 point for a correct answer. Players lose 1 point for an incorrect answer. The players with the greatest scores wins. List the players from worst to best. The players and scores are shown below:
Brett: -7, Ellema: -1, Felipe: +3, Jennifer: 0, Kamal: +2, Riley: -5
Brett, Riley, Ellema, Jennifer, Kamal, Felipe
-9 ____ 5
Adriel and his stepmom pick strawberries to sell at their farm stand. Every basket of strawberries that they sell weighs more than 3/4 lb. Draw a graph and write an inequality to represent the weight in pounds, w, of a basket of strawberries.
w > 3/4
Graph
In which Quadrant is the middle school located?
Middle School (-2, -3)
High School (-1, 2)
Post Office (0, -4)
Restaurant (-5, 4)
Quadrant II
Karen earns $36. Kathy earn $44. Jessica earns $60 but spends $55. Sam earn $70 and loses $47. Which girl has the most money?
Kathy
An elevation of -4 m is higher than an elevation of -8 m. An elevation of -8 m is lower than an elevation of -6 m. Which set of inequalities correctly expresses these relationships?
A. -4 < -8 and -8 < -6
B. -4 < -8 and -8 > -6
C. -4 > -8 and -8 < -6
D. -4 > -8 and -8 > -6
C. -4 > -8 and -8 < -6
Order the values of 5, -7, -9, and -2 from least to greatest. Then order the absolute values |5|, |-7|, |-9|, and |-2| from least to greatest. Explain how absolute value affects which values are lesser and which values are greater.
Which of the following can be represented by the inequality x<3?
A. The prices decrease by $3
B. The temperature is below 3 degrees F.
C. The airplanes elevation is higher than 3 mi.
200 Bonus points for graphing as well.
B. The temperature is below 3 degrees F.
Reflect the following points across the y-axis
A. -4, 3
B. -1, 3
C. -1, 1
A. 4, 3
B. 1, 3
C. 1, 1
Elevation describes a location above or below a given point, such as sea level. Create a number line and place the following points below.
A pelican is flying 7 feet above sea level
Then the pelican dives into the water and grabs a fish at an elevation of -1 1/2 ft.
Then the pelican floats on the water to eat fish.
Hint: Sea level is 0
N/A
Lilia wants to replace both question marks with the same number so that the inequalities correctly compare the numbers.
? > -5 and ? < 2
Which of these numbers could be use?
A. -7 B. -4 C. -2 D. 0 E. 1 F. 5
B. -4
C. -2
D. 0
E. 1
A tour group is sea diving. The ocean floor is -18 ft relative to sea level. One diver is at -11 ft. The tour guide stands on a platform 5 ft above sea level, directly above the diver. Draw a model of a situation.
0 ft - sea level
-11 ft - diver
-18 ft - ocean floor
5 ft- tour guide
At Central Theatre, the cost of a matinee movie is under $5.50. The cost of popcorn is exactly $2.25. Write an inequality for the possible total cost, c, of a movie and popcorn. Show your work
c < 7.75
Jane and her daughter walked from her home to the hair salon. She had to pass the post office, vet, bakery, and pharmacy to get there. What distance did they walk?
Home (-3,5) Post Office (-3,3) Vet (-2,3) Bakery (-1, 3) Pharmacy (-4, 3) Hair Salon (-4, -3)
9 units