Addition/Subtraction of Rational Numbers
15 + (-11)
4
−0.9 x 0.7=
-0.63
Is 1/12 a terminating decimal or repeating decimal?
0.08383... repeating
If the radius of the circle is 15, what is the diameter?
d = 2r
d = 2(15)
d = 30
Find the mean of this list: 3, 6, 2, 5, 4, 4
3 + 6 + 2 + 5 + 4 + 4 = 24
6 numbers in the list 24 / 6 = 4
(-12.2) + (-1.05)
-13.25
-2/3 x 2/5 =
-4/15
Convert 13/22 to a decimal. Is it a terminating or repeating decimal?
0.59090... repeating
If the diameter of the circle is 5, what is the radius?
r = d/2
r = 5/2
r = 2.5
Find the median of this list: 3, 6, 2, 5, 4, 4
Number order: 2, 3, 4, 4, 5, 6
Find the middle.
The center is 4.
(-1/8) - (-3/8) =
(-1/8) - (-3/8) =
(-1/8) + 3/8 = 2/8
2/8 = 1/4
28 / 0.04 =
28 / 0.04 =
2800/4 =
700
Explain the difference between terminating and repeating decimals using a full sentence.
Terminating Decimal: A decimal that ends or has a set number of digits after the decimal place.
Repeating Decimal: A decimal where one number or a group of numbers after the decimal point repeats indefinitely.
If the diameter of the circle is 10, what is the circumference? Use 3.14 for pi.
C = 3.14d
C = 3.14 (10)
C = 31.4
Find the interquartile range of the set of numbers
10, 11, 15, 10, 13, 11
10, 10, 11, 11, 13, 15
Interquartile range: 13 – 10 =3
(-7/15) - (-3/10) =
(-7/15) - (-3/10) =
(-7/15) + 3/10 =
(-14/30) + 9/30 = -5/30
-1/6
3/5 divided by -2/7
3/5 divided by -2/7
3/5 x (-7/2)
-21/10
1.4 − 20% =
1.4 - 0.2 = 1.2
140% - 20% = 120%
1.2 or 120%
Could 3 inches, 8 inches, and 7 inches be the sides of a triangle?
YES! No two sides when added together are smaller than the remaining side.
Find the Mean Absolute Deviation
5, 8, 8, 4, 5
Mean: 6
Distances from mean: 1, 2, 2, 2, 1
Total Distances: 88 / 5 =1.6
Kamilla wants to buy a new game for $49.99 on June 18th.If Kamilla has $38.72 in her account on June 17th and has no other transactions, can she afford the game? Why or why not?
Kamilla cannot afford the game because her account would have a negative balance. If Kamilla decides to buy the game her new bank balance would be -$11.27.
The seventh-graders at the middle school are going on a field trip to the aquarium.They will spend 4 1/4 hours at the aquarium.The students will need to visit five exhibits while they are there. If the time is evenly distributed, how many minutes will the students spend at each exhibit?
4 1/4 divided by 5
17/4 divided by 5/1
17/4 x 1/5 = 17/20h
60min x 17/20ℎ=51 minutes
A runner is running in a 10-mile race. By 8:00am, they ran 3 1/2 miles. By 9:00am, they ran another 4.6 miles. How much of the race do they have left to run?
10 - 3 1/2 - 4.6 = 1.9 or 1 9/10
The runner has 1.9 miles or 1 9/10 miles left to run.
A student is creating a triangle for an art project. They want to make a triangle with one angle measuring 111° and another angle measuring 71°. What would you tell this student to help them complete their triangle?
These two angles already measure more than 180 degrees together so the student will not be able to make a triangle with those two angles.They need to decrease one or both of their original angles.
Two 7th grade math teachers are comparing their test scores on the most recent test. Here is a sample of 5 of their students’ test scores:
Teacher 1: 80%, 85%, 75%, 80%, 79%
Teacher 2: 78%, 82% 73%, 89%, 80%
Find the median and mean absolute deviation for each list of test scores. What inferences can you make from the data?
We can infer that the student scores were similar across the test from the median, meaning perhaps both teachers taught the topic similarly. The mean absolute deviation of the first set is lower, so we can infer that those students scores were closer together. The second class we can infer had more varied scores.