Do Now 1. Describe some types of math you may be expected to do in physics.   2. 7(x+3)-6=22 Solve for x and show all work. 3. A right triangle has the sides 4 and 3. What is the length of the hypotenuse? Show all work!

Aim: How do we isolate a variable in an equation using algebra? HW: Algebra Worksheet

What kind of career would you like? Math in Real Life What kind of career would you like? How might it involve Math?

Mathematics Mathematics is a UNIVERSAL LANGUAGE Physicists make PREDICTIONS based on MATHEMATICAL MODELS Usually we KNOW or can MEASURE some parts of a PROBLEM The trick is to find what is UNKNOWN!

Equations When solving for the unknown variable, DO NOT CHANGE THE LETTER If asked to solve for m, DO NOT CHANGE IT TO x Different letters mean different things; m ≠ x How would you represent two different variables with the SAME letter? Use a SUBSCRIPT For example: m1 ; m2 ; m3 ; etc.

Station Activity: Solving Equations Go to your assigned station and solve for the variable asked for. Show all work!

Station 1 Vf2 = Vi2 + 2ad Solve for d

Station 2 Vf2 = Vi2 + 2ad Solve for Vf

Station 3 Vf2 = Vi2 + 2ad Solve for Vi

Square (x2) ↔ Square Root (√x) Algebra Algebra requires the manipulation of an equation to isolate a single variable To move a variable from one side of the equals sign to the other, you must do the OPPOSITE OPERATION to both sides of the equation Add ↔ Subtract Multiply ↔ Divide Square (x2) ↔ Square Root (√x)

Envelope Activity Use the statements in your envelope and match them up appropriately. Write an example for each one!

What’s being done How you undo it 1. A term is being added to the variable you are solving for Subtract that term to the other side 2. A term is being subtracted from the variable you are solving for Add that term to the other side 3. The variable being solved for is being multiplied by other variables or numbers Divide those variables and numbers to the other side 3. The variable being solved for is being divided by other variables or numbers Multiply those variables and numbers to the other side 4. The variable being solved for is being squared Take the square root of both sides of the equation 5. The variable being solved for exists as a squared term AND a non-squared term Set the equation equal to zero and use the quadratic formula

Summary 1. Which type of Math will you primarily use in physics? 2. Solve for t: Vf = Vi+at 3. How do you “undo” the square of a variable? Example: x2 = y