Simplifying Radicals
Simplify √175
5√7
Give an example of an integer that is NOT whole or natural.
Must be a negative counting number
10 – (8p + 3) = 9(2p – 5)
p=2
The sum of three consecutive odd integers is 93. Find the integers.
x+(x+2)+(x+4)=93
29,31, 33
|2x-3|=9
x=6
x=-3
Simplify √196
14
Solve for b
9a=(12a+3b)/4
b=8a
-5(3x – 4) + 4 = 114
x=-6
A carpenter is building a shelving system and cuts a 14-foot length of cherry shelving into three pieces. The second piece is twice as long as the first, and the third piece is 2 feet longer than the first. Find the length of each piece of cherry shelving.
x+2x+(x+2)=14
1st: 3 ft
2nd: 6 ft
3rd: 5 ft
|3x|-5=7
x=4
x=-4
Simplify √384
8√6
To what set of values does -4/5 belong?
Real, Rational
Solve x/(x-4)=2/3
x=-8
The measure of one angle is 15 degrees more than one-half the measure of another other angle. If the angles are supplementary, find both angle measures.
x+.5x+15=180
110 and 70
|2x-7|+9=5
No Solution!!
Simplify √441
21
Solve for x
(x-y)/2z=3
x=6z+y
3(n + 11) – 5n = -2(n – 12) + 9
All Real Numbers!!
Find three consecutive even integers such that the sum of the smallest integer and twice the median integer is 20 more than the largest integer.
x+2(x+2)=(x+4)+20
10, 12, 14
5x-3=|x+9|
x=3 (-1 is extraneous)
Simplify √216
6√6
Evaluate:
(-42+36)/5-|3-5|
2
(2/5)x-1/3=2/3
x=5/2
Kelly, Laura, and Tia sold boxes of cookies for a fundraiser. Kelly sold 15 boxes less than Laura. Tia sold twice as many boxes as Kelly. If they sold 83 boxes of cookies in total, how many boxes did each girl sell?
x+(x-15)+2(x-15)=83
Kelly: 17
Laura: 32
Tia: 34
-4x-2=|6x+20|
x=-2.2
x=-9