Warm Up:
Write the following equations expressing a in terms of b, c and d.
1. 2.
UNIT 3: Solving Equations Day 6: REVIEW
Remember - to solve an equation means to find the value of the variable that makes the equation true!
To Solve Equations - isolate the variable by performing opposite operations
Steps for Solving Equations....
1. Clear fractions first (by multiplying every single term by LCD) 2. Clear brackets (if any) by expanding
3. Get all of the variable terms on one side of the equal sign.
4. Isolate the variable term.
5. Isolate the variable.
Example #1
Solve and check:
EQUATIONS WITH BRACKETS AND MORE THAN
ONE VARIABLE TERM:
EQUATIONS WITH FRACTIONS:
Example #2 Solve:
cross multiply (only if it is only ONE fraction equal to ONE other fraction) OR
multiply EACH TERM by the lowest common denominator
MODELLING WITH FORMULAS:
Example #3
Solve: for h
Example #4
Ryan is 3 times as old as his nephew Tyler. In 5 years, the sum of their ages will be 58. How old are they?
1. Determine the "Let" statements.
(defining the unknown variables)
2. Create the equation with ONE variable.
3. Solve the equation.
4. Solve for the other unknowns.
5. Concluding statement.