1) PEMDAS: 12 * 5 + 6 / 6
12 * 5 = 60
60 + 6 / 6
6 / 6 = 1
60 + 1 = 61
61 is the final answer.
2) Absolute Value: |-2 - 4| = -6 HOWEVER, because it is in the absolute value signs, it becomes 6. 6 - 4 = 2
2 in the final answer.
3) 4 + 4 + 2 = 10 Because they are all negatives, we add back the negative sign.
-10 is the final answer.
4) 15x + 1 = 26
Subtract 1 from each side.
15x = 25.
25/15 = 1.6...
x = 1.6...
5) 2x -4 + 3x = - 1
2x + 3x = 5x
5x - 4 = -1
Add 4 to each side
5x = 3
3/5 = 0.6
x = 0.6
6) x-2/3 = x+4/5
I don't remember the steps, but the answer is x = 11
7) Finding the relationship between x:4 and 5:20
20/5 = 4
x = 1
The smaller rectangle has a reduction of 5 times.
8) Mean is found by adding all the number, then dividing by the amount added.
18 + 27 + 15 + 24 + 18 + 26 + 19 + 24 = 171
171/8 = 21.375
Mean = 21.375
Median is found by putting the numbers in increasing order, then finding the middle number, 15, 18, 18, 19, 24, 24, 26, 27. 24 + 19 = 43. 43/2 = 21.5
Median = 21.5
9) Circumference of a circle = 2(pi)(r)
Circumference = 30πin (thats the pi symbol)
If you use the typical pi fill-in (3.14) the its 2 * 3.14 * r then it would = 94.5in.
10) Combing Like Terms: 5x + 7y - 8y^2 + 2x - y
5x + 2x = 7x
7x + 7y - 8y^2 - y
-y + 7y = 6y
Answer: -8y^2 + 7x + 6y