Vocabulary
An equation where variables represent known values.
What are literal equations?
solve for x
g=c+x
x=g-c
The formula for Force is:
F = ma
where F is force, m is mass, and a is acceleration.
Solve the formula for mass, m.
m = F/a
The formula for area is:
A = lw
Where A is area, l is length, and w is width.
Solve for w, width.
w = A/l
solve for a
-4a+3=2n+p
a = (3-2n-p)/4
A mathematical relationship or rule expressed in symbols.
What is a formula?
solve for a
am=n+p
a = (n+p)/m
The formula for Force is:
F = ma
where F is force, m is mass, and a is acceleration.
A football player tackled another player with a force of 7000 N, and pushed the player with an acceleration of 62.5 m/s^2. What is the mass of the tackled player?
112 kg
The formula for area is:
A = lw
Where A is area, l is length, and w is width.
If the area is 20 m^2, and the length is 10 m, what is the width?
2
solve for x
-6x=3d/(2r)
x=-d/(4r)
A symbol, commonly a single letter, that represents a number, which is either arbitrary, not fully specified, or unknown.
What is a variable?
Solve for a
c-a=d+r
a=c-d-r
A formula for velocity is:
v = s + at
Where v is velocity, s is speed, a is acceleration, and t is time.
Solve the equation for acceleration, a
(v-s)/t
The formula for Perimeter is:
P = 2w+2l
Where P is perimeter, l is length, and w is width.
Solve for w, width.
w = (P-2l)/2
solve for x
2+3x=8dr
x=(-2+8dr)/3
a numerical or constant quantity placed before and multiplying the variable in an algebraic expression
What is a coefficient?
Solve for x
k/x = w+v
a=c/(d+r)
Air Resistance is defined as:
A=-cv^2
Where A is air resistance, c is the air constant, and v is the velocity
solve for the air constant
c
c = -A/v^2
The formula for area is:
P = 2l+2w
Where A is area, l is length, and w is width.
If the perimeter is 100 m, and the length is 20, what is the width?
solve for a
-2a+1=-4d-3r
a=(1+4d+3r)/2
Any and all value(s) of the variable(s) that satisfies an equation, inequality, system of equations, or system of inequalities.
What is a solution?
Solve for x
z=(my)/x
x=(my)/z
A formula for friction is:
F = μmg
Where F is the friction force, μ is the friction coefficient, m is mass, and g is the acceleration due to gravity.
What is the gravitational acceleration of the moon if a 5 kg object dragged on a surface with a friction coefficient of 0.75 encounterd a friction force of 6.075 N?
using
g = F/(μm)
we get
g = 6.075/((0.75)(5))=1.62 m/s^2
The formula for volume of a rectangular prism is:
v = lwh
Where V is volume, and l is length, w is width, and h is height.
if a rectangular prism has a volume of 200, and the length and width are both 5, what is the height?
8
solve for a
5/(4a) = -3v+w
a = - 5/(12v-4w)