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Section 2.3 Solving for a Variable
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Objective By following instructions students will be able to:
Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving an equation.
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Explore A: Interpreting Parts of an Expression Solve 42=6x
In the formula, V=lwh, the variable h needs to be isolated.
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Explain 1 The formula for Density is D=m/v. Lead has a very high density of 11, Plastic foam has a very low density of The formula for density can be rearranged to solve for V or m. a) A sinker on a fishing line is made of lead and has a volume of What is the mass of the sinker? b) The design for a life preserver requires .3 kg of plastic foam to provide proper buoyancy. What is the volume of the plastic foam required?
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Explain 2 The formula for interest is I=prt.
Find the number of years used in the calculation of a $1000 loan at an interest rate of 5% with interest totaling $600. Determine the interest rate for a $2000 loan that will be paid off in 4 years with interest totaling$640.
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Your-Turn #1 The formula y=mx+b is the slope-intercept form of the equation of a line. Solve the equation for m.
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Revisit Objective Did we…
Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving an equation?
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Homework HW: Page 58 #s 1-19 ODD, 20, 23
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