Square Root Functions
Inverse/Direct Variation
Properties of Exponents
Transformations
Simplifying Radicals
100
Solve
x^2/3=27
x = ±9
100
Y varies directly with x. If y = -4 when x = 2, find y when x = -6.
y = 12
100
am * an=?
am+n
100
Write the equation of the graph.
sqrt(x-2)+3
100
simplify:
3\sqrt{8}
6\sqrt{2}
200
Find the solution(s).
-2/x=sqrt(x+5)
(-1,2) & (-4.828,0.414)
200
Y varies inversely with x. If y = 40 when x = 16, find x when y = -5.
x = -128
200
(ab)n=?
a^n/(b^n)
200
When comparing
f(x)=sqrtx
to
f(x)= 3sqrt(-x-4)-6
, what sort of transformation took place?
Stretch by 3, reflection over the y-axis, right 4, down 6
200
Rewrite with rational exponents:
root(3)((3x)^2)
(3x)^{\frac{2}{3}}
300
Solve
sqrt(x-3)+5=7
x=7
300
The number of kilograms of water in a person’s body varies directly as the person’s mass. A person with a mass of 90 kg contains 60 kg of water. How many kilograms of water are in a person with a mass of 50 kg?
33.3 kilograms
300
a0=?
1
300
In which quadrant of the coordinate plane is the graph of
y=-sqrt(-x)
Quadrant 3
300
Simplify.
sqrt(-96)
4isqrt6
400
Find the solution or explain why there is no solution.
x = 4
400
The amount of acreage of a field varies directly with the number of bushels of wheat it can produce. If a 20-acre field produces 300 bushels of wheat, find the amount of bushels produced from a 50-acre field.
750 bushels
400
\frac{a^{-m}}{b^m} = ?
\frac{1}{a^mb^m}
400
When comparing
f(x)=sqrtx
to
f(x)= -sqrt(x+2)+1
, what sort of transformation took place?
Reflection over the x-axis, left 2, and up 1
400
Simplify.
sqrt(343)
7sqrt(7)
500
Solve
sqrt(4x+5)=sqrt(2x-17)
x=-11
500
The pressure P of a compressed gas varies inversely with the volume of the gas V. If there is a pressure of 25 pounds per square inch when the volume of gas is 400 cubic inches, find the pressure when the gas is compressed to 200 cubic inches.
50 lbs per square inch
500
Solve this
\frac{21d^{18}e^5}{7d^{11}e^3}
The answer is 3d7e2
500
Write a square root function matching the description: stretched vertically by a factor of 10, translated 5 units down, and reflected over the y-axis.
10sqrt(-x)-5
500
Simplify.
5sqrt(-45
15isqrt(5)