A student scored a 78 and 93 on his first two assignments respectively. He wants an average between 88 and 90. Write a compound inequality representing the possible values for a third assignment so his average is between 88 and 90.

88 < (x+78+93)/3 < 90

Determine the real solutions if any of the given equation: sqrt(2x-7)=5-x

but if x=8 then 5-8=-3 ... impossible, so...
solution:
x=4

simplify log base 3 of 243^2

29 is 16 2/3% of what number?

16 2/3% =50/3 % = 50/300 = 1/6
x* 1/6 = 29
x=29*6=174

Write an equation for each translation of x^2 + y^2 = r^2 with the given radius. Right 5 units, down 3 units; radius 8.

find the number a such that x + 2 is a factor of 4x^3 + ax^2 -5x - 2

synthetic division leads us to the terms
4
a-8
11-2a
4a-24
so 4a-24=0 leads to a=6

What is the 6th root of 81a^4b^8?