Reviewing Algebra
What is the formula for slope
(y_2-y_1)/(x_2-x_1)
What is the number inside the radical called?
The radicand
Simplify
40 sqrt2 +30 sqrt2
70 sqrt2
When you multiply a radical by itself what is the answer.
The radicand. (The number inside the radical)
What is the biggest rule when dividing radicals?
There can not be a radical in the BOTTOM (denominator)
What is the value of x in the equation:
3(x−4)+8=17
x = 7
Simplify
sqrt90
3 sqrt 10
If the length of one side of a square is represented by
sqrt50
and another side is represented by
2 sqrt2
, what is the sum of these two lengths expressed in simplest radical form?
sqrt 50+ 2 sqrt2
5 sqrt2 + 2 sqrt2
7 sqrt2
Simplify
3(sqrt5 + 2sqrt6)
Answer =
3 sqrt5 +6 sqrt6
What is the conjugate use to rationalize the denominator in
(5 +2 sqrt3)/(-6-6 sqrt6)
-6 + 6 sqrt6
Solve for x with variables on both sides:
5x−2=4(x+4)+2x
x = -18
Simplify
sqrt(72n^3)
Answer =
6n sqrt2n
Simplify
-3 sqrt6 -3 sqrt20 - 3sqrt45
-3 sqrt6-15sqrt5
Simplify
2sqrt(5n)(5sqrt(5n)+sqrt(2n)
Answer =
50n+2nsqrt10
Simplify
sqrt6/(5sqrt3)
Answer =
sqrt2/5
A line passes through the points (3, -5) and (7, 2). Calculate the slope.
m = 7/4
Simplify
4 root(4)(32n^4)
Answer =
2n root(4)(2)
Simplify
3 root(3)(24)+ 2 root(3)(81)+2 root(3)(135)
Answer =
12 root(3)(3)+ 6 root(3)(5)
Simplify
(3+sqrt5)(4+5sqrt5)
Answer =
37 + 19 sqrt5
Simplify
(5 +sqrt5)/sqrt16
Answer =
(5 +sqrt5)/4
A line passing through points (1,4) and (x,8) has a slope of 2. This is the value of x.
x = 3
Simplify
root(6)(512m^2n^6p^12)
Answer =
2np^2 root(6)(8m^2)
Simplify
3 root(3)(27)- sqrt3 + 3 sqrt24-sqrt24
Answer =
9 - sqrt 3+4sqrt6
Simplify
(3sqrt2+sqrt(3m))(sqrt2+sqrt(3m))
Answer =
6 +4sqrt(6m) +3m
Simplify
(3sqrt(3x^3)-4sqrt(x^2))/(5sqrt(5x)-5sqrt(3x^3)
Answer =
(3xsqrt15+9x^2-4sqrt(5x)-4xsqrt(3x))/(25-15x^2)
Two trains are traveling on separate routes. The first train covers a distance of the square root of 400 kilometers per hour, while the second train covers the square root of 100 kilometers per hour. After 3 hours, both trains have stopped, and the total distance traveled by both trains combined is needed. What is the total distance traveled by both trains in simplest radical form?
Travel Time = 90 Kilometers