chapter 1 1-6 solving for a variable. objectives students will be able: solve a formula for a given...
TRANSCRIPT
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CHAPTER 11-6 SOLVING FOR A VARIABLE
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OBJECTIVES
STUDENTS WILL BE ABLE: Solve a formula for a given variable.
Solve an equation in two or more variables for one of the variables.
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1-6 SOLVING FOR A VARIABLE
What is solving for a variable? Answer: It means that we rearrange a
formula by inverse operations so we can isolate the requested variable.
What is a formula? Answer: formula is an equation that states a
rule for a relationship among quantities. An example of this can be: Athletes competing on racing. This athletes
can rearrange the distance formula(d=r*t) to find get the time it took to finish the race.
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STEPS FOR SOLVING VARIABLES
Solving for a Variable Step 1 Locate the variable you are asked to
solve for in the equation. Step 2 Identify the operations on this
variable and the order in which they are applied.
Step 3 Use inverse operations to undo operations and isolate the variable.
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EXAMPLE 1
Lets say the area of a rectangle is 45 meters and the length of the rectangle is 9 meters. What is the width of the rectangle?
Solution: First step is to get the formula and locate the
variable that you are asked to solve A is area, l is length and w is width Second step identify the operation on the
variable. Third step is to undo the operation with the
inverse and solve.
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EXAMPLE 1 CONTINUE
Then we just substitute for the numbers.
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EXAMPLE 2
Mrs. Smith is constructing a circular pool and wants to now the diameter of the pool. Given that the circumference of the pool is 30 mts.
Solution: formula for the circumference of a circle We need to divide by .
Now we substitute for the values given
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EXAMPLE 3
A rectangular box has a volume of 365 cm cube. If the width of the box is 25cm and the length of the box 7 cm. What is the height of the box?
Solution:
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EXAMPLE 4
Solve the following formulafor p:
Solution: locate p get rid of t first we solve for p
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EXAMPLE 5
Solve the following formula for l:
Solution:
solve for l
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EXAMPLE 6
Solve A = ( 1/2 )ah – ( 1/2 )bh for h Solution:
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STUDENT GUIDE
Do odd problems 14-28 from page 52
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HOMEWORK
Do even problems 14-28 from page 52
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CLOSURE
Today we saw how to solve for a specific variable in an equation.
Tomorrow we are going to continue with 1-7