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