Transforming Formulas
If bx-2=K, then x equals
x=(K+2)/b
The formula for potential energy is P=mgh, where P is potential energy, m is mass, g is gravity and h is height. Which expression can be used to represent g?
g=p/(mh)
Which expression has the smallest value?
1)
-pi
2)
-sqrt10
3)
-16/5
4)
-3.02
3)
-16/5
Which equation has the same solution as x2+8x-33=0
1) (x+4)2=49
2) (x-4)2=49
3) (x+4)2=17
4) (x-4)2=17
1) (x+4)2=49
Which equation has the same solution as x2-6x-12=0?
1) (x+3)2=21
2) (x-3)2=21
3) (x+3)2=3
4) (x-3)2=3
2) (x-3)2=21
The formula for the volume of a right circular cylinder is
V=pir^2h
The value of h can be expressed as:
h=v/(pir^2)
x=5/(ab)
Approximate
sqrt79
and write the answer as a decimal to the nearest tenth.
1) 9.9
2) 8.9
3) 8.7
4) 8.8
2) 8.9
What are the solutions to the equation x2-8x=24?
1)
x=4pm 2sqrt10
2)
x=-4pm 2sqrt10
3)
x=4pm 2sqrt2
4)
x=-4pm 2sqrt2
1)
x=4pm 2sqrt10
A solution of the equation
x^2/4=9
is
1) 12 2) 6 3) 3 4) 3/2
2) 6
If the formula for the perimeter of a rectangle is P= 2L+2w, then w can be expressed as:
w=(p-2L)/2
The members of the senior class are planning a dance. They use the equation r=pn to determine the total receipts. What is n expressed in terms of r and p?
n=r/p
Which number is irrational?
1)
5/4
2)
0.bar3
3)
sqrt121
4)
pi
4)
pi
The solution to
-2(1-4x)=3x+8
is:
2
-2(1-4x)=3x+8
-2+8x=3x+8
8x=3x+10
8x-3x=10
5x=10
x=2
The volume of Earth can be calculated by using the formula
V=4/3pir^3
. Solve for r in terms of V.
r= root(3)((3V)/(4pi)
Sean knows the length of the base, b, and the area, A, of a triangular window in his bedroom. Which formula could he use to find the height, h, of this window?
h=(2A)/b
If z+y= x+ xy2, what is x expressed in terms of y and z?
x=(z+y)/(1+y^2)
Which is a rational number?
1)
sqrt8
2)
pi
3)
5sqrt9
4)
6sqrt2
3)
5sqrt9
What are the solutions to the equation 3(x+4)2=27
1) 1 and 7
2) -1 and -7
3)
4pmsqrt24
4)
-4pmsqrt24
1) 1 and 7
The distance a free falling object has traveled can be modeled by the equation
d=1/2at^2
where a is acceleration and t is time. What is t in terms of a and d?
1)
t=sqrt((da)/2)
2)
t=sqrt((2d)/a)
3)
t=((da)/2)^2
4)
t=((2d)/a)^2
2)
t=sqrt((2d)/a)
In physics class, Esther learned that force due to gravity can be determined by using the formula
F= (Gm1m2)/r^2
. Solve for r in terms of F, G, m1, and m2.
sqrt((Gm1m2)/F)
Shoe sizes and foot length are related by the formula
S=3F-24
, where S represents the shoe size and F represents the length of the foot, in inches.
a) Solve the formula for F.
b) To the nearest tenth of an inch, how long is the foot of a person who wears a 10.5 size shoe?
a)
F=(S+24)/3
b) 11.5 inches
The value of
sqrt(x^2-9)
is a real and irrational number when x is equal to
1) 5
2) 0
3) -3
4) 4
4) 4
Solve the quadratic equation below for the exact
values of x.
4x2 -5 =75
x=pmsqrt20
Given
L=
sqrt2
M=
3sqrt3
N=
sqrt16
P=
sqrt9
Which expression results in a rational number?
1) L+M
2)M+N
3)N+P
4)P+L
3)N+P