Positive and Negative Numbers
At the book sale, all books cost less than $5.
Graph the inequality.
The number line has an open circle and an arrow drawn to the left starting with 5.
In which quadrant is (-6, 5)?
Quadrant II
A teacher is making gift bags. Each bag is to be filled with pencils and stickers. The teacher has 24 pencils and 36 stickers to use. Each bag will have the same number of each item, with no items left over. What is the greatest number of bags she can make?
12 bags with 2 pencils and 3 stickers
Ally charges at least $9 per hour when she babysits. Last weekend she babysat for a family for several hours and earned $51. How many hours, h, did Ally babysit?
Write the inequality.
9h<=51
Order from least to greatest:
-1.5, 3/2, |−4/2|, −4/3
-1.5, -4/3, 3/2, |-4/2|
Insert the correct inequality symbol.
|-32| _____ |15|
>
Graph these points:
A=(3,3),
B=(3,-3),
C=(-3,3)
D=(-3,-3)
What is the perimeter of the shape formed? Area?
P = 24 units
A = 36 sq units
A school chorus has 90 sixth-grade students and 75 seventh-grade students. The music director wants to make groups of performers, with the same combination of sixth- and seventh-grade students in each group. She wants to form as many groups as possible.
What is the largest number of groups that could be formed?
15 groups. The greatest common factor of 75 and 90 is 15.
Two more students join Mr. Smith's math class after the fall semester. He can fit up to 30 desks in his classroom. How many students, s, attended Mr. Smith's math class before the end of fall semester?
Write and solve the inequality. Then graph.
s + 2 <= 30
s <= 28
Closed circle at 28, shaded to the left.
Select all of the statements that are equivalent to -8.7<-8.4
A: -8.7 is further to the right on the number line than -8.4.
B: -8.7 is further to the left on the number line than -8.4.
C: -8.7 is less than -8.4.
D: -8.7 is greater than -8.4.
E: -8.4 is less than -8.7.
F: -8.4 is greater than -8.7.
B, C, F
Match the the statements with the mathematical statements.
A: The number -4 is a distance of 4 units away from 0 on the number line.
B: The number -63 is more than 4 units away from 0 on the number line.
C: The number 4 is greater than the number -4.
D: The numbers 4 and -4 are the same distance away from 0 on the number line.
E: The number -63 is less than the number 4.
F: The number -63 is further away from 0 than the number 4 on the number line.
A: 4
B: 1
C: 5
D: 6
E: 2
F: 3
The x-axis represents the number of hours before or after noon, and the y-axis represents the temperature in degrees Celsius.
At 9 a.m., it was below freezing. In what quadrant would this point be plotted?
Quadrant III
A red light blinks every 12 seconds and a blue light blinks every 9 seconds. When will both lights blink at the same time?
36, 72, 108 . . . seconds, because these are common multiples of 15 and 9.
Marcus spent $117.89 from his savings account to buy a new bicycle. He still has more than $45 left in his account. How much money, m, was in his savings account before he bought the bicycle?
Write and solve the inequality. Then graph it.
m - 117.89 > 45
m > 162.89
Open circle at 162.89, shaded to the right.
Zero is it's own opposite, True or False?
True
How much money does Maggie have at the end of the month?
$28
K is plotted at (-3, 4)
Name a point that could be 3 units away from it.
(-3,7)
(0, 4)
(-3,1)
(-6,4)
Cups are sold in packages of 8. Napkins are sold in packages of 12.
What is the fewest number of packages of cups and the fewest number of packages of napkins that can be purchased so there will be the same number of cups as napkins?
A teacher is passing out pencils to the students before a test. She wants each student to have at least two pencils. If she has 32 students in her class, how many pencils, p, will the teacher need?
Write and solve the inequality. Then graph it.
p/32 >= 2
p >= 64
Open circle at 64, shaded to the right.
The temperature at dawn is 6∘C away from 0. Select all the temperatures that are possible.
A: -12∘C
B: -6∘C
C: 0∘C
D: 6∘C
E: 12∘C
B, D
Kiran started his homework before 7:00 p.m. and finished his homework after 8:00 p.m. Let h represent the number of hours Kiran worked on his homework.
Decide if each statement it is true or false.
1. True
2. False
The coordinates of a rectangle are(2,0), (2,−6), (−5,0)and(−5,−6)
a.What is the length and width of this rectangle?
L =6 units
w = 7 units
Mai, Clare, and Noah are making signs to advertise the school dance. It takes Mai 6 minutes to complete a sign, it takes Clare 8 minutes to complete a sign, and it takes Noah 5 minutes to complete a sign. They keep working at the same rate for a half hour.
Will Mai and Clare complete a sign at the same time?
Yes, they will both finish at 24 minutes, because 24 is a common multiple of 6 and 8.
The temperature in Anchorage, Alaska dropped more than 15 degrees F. over night. The temperature is now -13 degrees F. What was the temperature, t, the day before in Anchorage?
Write, solve, and graph the inequality.
t - 13 > 15
t > 28
Open circle at 28, shaded to the right.