Notes 1.1 ­ Rewriting Equations (finished).notebook
August 13, 2014
Bellwork 1.1
Evaluate ­3x2 + 2y3 when x = 12 and y = ­2
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Notes 1.1 ­ Rewriting Equations (finished).notebook
August 13, 2014
Notes 1.1: Rewriting Equations
Remember this? Solve:
2x + 3 = 7
Transformations for Solving Equations:
*Simplify ( Add Like Terms, Distribute)
*Add/Subtract across the equal sign
*Multiply/Divide across the equal sign
*Interchange ( SWITCH­SIDES )
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Notes 1.1 ­ Rewriting Equations (finished).notebook
August 13, 2014
We use the same process to solve for a variable!
Solve for x:
Transformations for Solving Equations:
5x + 2y = 7
*Simplify ( Add Like Terms, Distribute)
*Add/Subtract across the equal sign
*Multiply/Divide across the equal sign
*Interchange ( SWITCH­SIDES )
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Notes 1.1 ­ Rewriting Equations (finished).notebook
August 13, 2014
Let's try a few! Solve for the indicated variable:
1. Solve for P: A = P + Prt
Transformations for Solving Equations:
*Simplify ( Add Like Terms, Distribute)
*Add/Subtract across the equal sign
*Multiply/Divide across the equal sign
*Interchange ( SWITCH­SIDES )
2. Solve for w: V = lwh
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Notes 1.1 ­ Rewriting Equations (finished).notebook
3. August 13, 2014
Transformations for Solving Equations:
*Simplify ( Add Like Terms, Distribute)
*Add/Subtract across the equal sign
*Multiply/Divide across the equal sign
*Interchange ( SWITCH­SIDES )
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Notes 1.1 ­ Rewriting Equations (finished).notebook
August 13, 2014
5. 6. 6
Notes 1.1 ­ Rewriting Equations (finished).notebook
August 13, 2014
Unit Analysis: A Quick Review
V = ft ft ft
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Notes 1.1 ­ Rewriting Equations (finished).notebook
August 13, 2014
Units Matter!!!
7. The formula for the area of the trapezoid is : A = ½h(b1 + b2)
a. Solve for b2.
b. If A = 216 in2, b1 = 13 in and h = 10 in what is the value of b2?
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Notes 1.1 ­ Rewriting Equations (finished).notebook
August 13, 2014
8. Money Ball Twist: The Pythagorean Theorem of Baseball is a formula for approximating the ratio of the number of wins to the total games played. Let R be the number of runs scored during the season, A be the number of runs allowed the opponents, W be the number of games won, and T be the number of games played. These variables are related by:
W
R2
= T
2
2
R + A
a. Solve the equation for the appropriate variable if you want to estimate the number of wins in 2013.
b. In 2013, the Diamondbacks scored 685 runs and allowed 695 runs in 162 games. Estimate the number of wins for the 2013 season.
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Notes 1.1 ­ Rewriting Equations (finished).notebook
August 13, 2014
Daily Writing Activity!
In 2013, the Diamondbacks won 81 games. Pick ONE question to answer:
a. Is the formula to estimate wins accurate? Explain your answer.
OR
b. If you were the manager of the Diamondbacks, how would you use this formula to make adjustments to your team?
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