Warm Up

Solve the following

1.

2.

3. 12x + 16 = 4(4x-8)

#31 Review

Any other questions on the back side of the worksheet?

Objective

Students can solve linear equations and inequalities with fractions in them

Students can explain how to get rid of fractions

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??

More Fraction Practice

Solving equations with inequalities To solve an equation with an inequality we

solve just as we do with an equals sign, except we trade it for the inequality.

We keep the sign the same unless we DIVIDE BY A NEGATIVE in which case we flip the sign.

For example

7x - 3 > 11

Flipping the sign

If we divide by a negative in our final step to get x by itself then we flip the sign

For Example

-3x + 8 < 20

Interval Notation

Examples of unbounded intervals

X>7

Graph:

x≤6

Graph:

X≥25

Graph:

Interval Notation

Examples of unbounded intervals

HW Check