Day One Literal Equations.notebook
Solving equations for one variable in terms of another
January 20, 2016
Formulas show relationships between two or more variables.
You can transform a formula to describe one quantity in terms of the others by following the same steps as solving an equation.
Examples
Example:
V = l wh Solve for w
Transform the formula d = r t to find a formula
for time in terms of distance and rate.
V = w
l h What does "time in terms of distance and rate " mean?
d = r t
r r
Divide both sides by r
d = t
r
P = 2l + 2wSolve for l
­2w ­2w
P ­ 2w = 2l
Slide to
2 2
reveal
P ­ 2w = l
steps
2
Solve for y in terms of x.
Solve for y in terms of x.
4x ­ 2y = 10
5x + 4y = 12
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Day One Literal Equations.notebook
January 20, 2016
Solve for y in terms of x.
1 The formula I = prt gives the amount of simple Pull
C
Pull
interest, I, earned by the principal, p, at an annual interest rate, r, over t years.
3x + 4y = 2
B
Solve this formula for p. A p = Irt
B p = Ir t
C p = I rt
D p = It r
2 Solve for w
3 Solve for h
A = lw
Pull
A w = Al
B
A B w = A l
C w = l A
B C D 4
Which equation is equivalent to 3x + 4y = 15?
5
Solve for y in terms of x: 8x + 4y = 16?
A y = 15 − 3x
C
D
Pull
B y = 3x − 15
C
y = 15 – 3x
4 4
y = 3x – 15
4 4
From the New York State Education Department. Office of Assessment Policy, Development and Administration. Internet. Available from www.nysedregents.org/IntegratedAlgebra; accessed 17, June, 2011.
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Day One Literal Equations.notebook
January 20, 2016
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