Aim: How do we solve literal equations? (Day 2)
Do Now: Solve for x.
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Recall from yesterday:
Literal Equation­ an equation with more than one variable
**Formulas such as area, circumference, volume, etc. are all literal equations!**
Recall Steps from yesterday:
Distribute
Combine like terms (on the same side of the equal sign)
Isolate key variable on one side of the equal sign
F
Factor (if key variable is in unlike terms)
Divide by Coefficient
2
Use the steps to solve the literal equations #1 & 2 for x:
1) ax ­ bx = c
2) ­t = r + px 3) The formula for the volume of a cone is The radius, r, of the cone may be expressed as )
)
)
)
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4) The formula for the area of a trapezoid is Express b1 in terms of A, h, and b2. The area of a trapezoid is 60 square feet, its height is 6 ft, and
one base is 12 ft. Find the number of feet in the other base.
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5) The formula for the area of a triangle is A = 12 bh.
Express h in terms of A and b.
What is the height of a triangle that has an area of 24 in2 and a
base with a length of 8 in?
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Now you try!
6)
7) )
)
)
)
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5) The distance a free falling object has traveled can be modeled by
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the equation d = 12 at2, where a is acceleration due to gravity and t is t in terms of a the amount of time the object has fallen. What is d = equation and d?
1)
3)
2)
4)
9)
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10) The monarch butterfly is the only butterfly that migrates
annually north and south. If d = rt, express r in terms of d and t. The distance that a particular group of monarch butterflies
travel is 1700 miles. It takes a typical butterfly about 120 days
to travel one way. What is the average rate at which a
butterfly travels in miles per day? Round to the nearest mile
per day.
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