Chapter 5 Sec 5.1.1
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Transcript of Chapter 5 Sec 5.1.1
Chapter 5 Sec 5.1.1
Solving Equations
ORDER OF OPERATIONS UNDO OPERATIONS ( ) IN A DIFFERENT DISGUISE
Apply the order of operations to evaluate each.
3) 4)
5 min
Calculator Review• Store the following values for each given
variable in your calculator.
Use the variables to evaluate each:
Solving equations
• The next slides will display various equations that you need to solve.
• Each equation requires different strategies. Please take careful notes on how each equation is solved… make your notes as general as possible.
Consider
• Solve the equation using any method.• Check to see if your solution is correct; use a
different method.
Consider
1) Undo each operation.
2)Check answer:
Page 222, problem 5-3solve for x
Method 1: undo operations
Method 2: multiply both sides by common denominator, then simplify and solve.
Page 222, problem 5-3Method 1: undo operations
Subtract 1/3 from both sides
multiply both sides by 4
add 5 to both sides.Check your answer.
Method 2: multiply both sides by common denominator, then simplify and solve.
distribute
combine like terms
Undoing the absolute valueSolve for x: |x|=4
-9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9
-9-8-7-6-5-4-3-2-1
123456789
x
y
-9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9
-9-8-7-6-5-4-3-2-1
123456789
x
y
Therefore Absolute value function, similar to the quadratic function, will have two answers.
Page 222 5-4 a
=8=2 divide both side by 4Dissemble the abs value:
Now solve each linear equations:
Check your answer.
Page 222 5-4 b
1) Solve the linear equation:
2) Check your answer.
Page 222 5-4 c
Add 2 to both sides.
It is not possible to raise a number to power of 2 and get a negative answer, therefore this problem has no solution.
Page 222 5-4 d
distribute combine like terms
combine like termsApply the Quadratic formula or factor:
Check your answer.
Page 222, problem 5-4 e
common denom.
add fractions
Check answer.
ON YOUR OWN:
•Review your notes. Rewrite and fortify them if needed.•Update your vocab list, if needed.
• Review and Preview• Page 222• # 6-12