Simplifying Expressions
3r - 5r
-2r
2n + 3 = 19
n = 8
Mandy has a 42% chance of making a 3 point shot. What is this percentage as a fraction (reduce answer).
21/50
What percent of 90 is 27?
30%
What property states that two numbers can be multiplied in either order and still give the same answer? (it also works for addition)
Commutative Property
12x + 7 - 8x + 11
4x + 18
5 + 6p = -13
p = -3
What is the median of the data set?
23, 45, 33, 67, 44, 44, 87, 90
23, 33, 44, 44, 45, 67, 87, 90
44.5
What is 7.28% as a decimal?
.0728
What is the set of whole numbers and their negatives called?
Integers
-7(-8k - 8p + 1)
56k + 56p - 7
3(x + 7) = -15
x = -12
Chris read 14 of the 65 books on his book shelf. If he picks a book at random, what is the probability he has already read it? Give your answer as a percent to the nearest tenth.
21.5%
Betty earned a 88 average in math in the first quarter. In the second quarter, she earned a 96 average. What is the percent increase in her math grade?
increase/original = 8/88 = 9.1% (rounded)
What do we call data that is far away from the average?
Outliers
5(3x + 1) + 2(-9x - 7)
-3x - 9
5x - 3(x - 10) = 46
x = 8
What are the 5 important numbers in a 5 point summary?
Q1 (lower quartile), Q2 (median), Q3 (upper quartile), lower extreme, upper extreme
If a coat costs y dollars, what expression represents the cost with a 40% discount?
100% - 40% = 60% = 0.60
0.60y
What is the random sampling process where a population is first separated into groups?
Stratified random sampling
5 - 2(13 - 2x) + 3x
-21 + 7x
12m - 3(4m - 8) = 12
no solution
Calculate the MAD for the following data.
11, 13, 12, 6, 8
mean = 50/5 = 10
MAD = 12/5 = 2.4
Matt started playing Super Mario Odyssey at 10:00 AM. He thought he played for 8 straight hours, but when he finished playing the clock said 8:00 PM (the same day). What was his percent error for his prediction?
He actually played for 10 hours.
error = 10 - 8 = 2
error/actual = 2/10 = 20%
What is the name of the numbers that can be written as a fraction in m/n form?
Rational numbers