Warm Up

1. -(8x+21) + 24 = -24

2.

3. 12(x + 8) = 16

Any Questions on the Homework?

Are we ok with solving complex equations?

P.3 part 2 Solving linear equations with fractions

Objective

Students can balance an equation with a single variable on both sides of an equation

Students can solve linear equations and inequalities with fractions in them

Language objective- students can explain the differences and similarities between solving an equation with an inequality and a normal equality equation.

Balancing an equation

Our goal is to move all the unknowns to one side and all the numbers which are by themselves to the other.

For Example

3x + 5 = 4x + 9

*Hint: try to keep the unknowns positive (in the above case move the 3 over instead of the 4 so we get 1x instead of -1x

)

Another Example

3(x+2) = 4(x-3)

Expand 1st then balance both sides.

In teams work on #24-31

Solving an Equation with a Fraction1st Step- GET RID OF THE FRACTION!!

2nd Step – solve as a normal equation

How do we get rid of a fraction?

With a single fractions we simply multiply by the denominator

Consider =

Solve

Finding the Least Common Multiple

When we have multiple fractions we need to find the least common multiple of ALL the fractions in our equation

More than 1 Fraction in the equation

Step 1- Find the Least Common Denominator (LCD) AKA the Least Common Multiple

Step 2. Multiply BOTH SIDES by the LCD

Step 3. divide the fractions (which will give you whole numbers)

Step 4. Solve the equation as usual once the fractions are gone

Consider

Fractions

Consider

1st step is??

Interval Notation