Mayansky/Finizio

Quiz Date: 11/2/04

Section 3.1: Transforming Equations: Addition and Subtraction

Sample Problem

Solve for x:

Step #1:

Isolate the x. In order to do this you must do the opposite operation on the left side of the equation and do the same to the right.

Since you are left with x alone on the left side of the equation.

Step #2:

Simplify: 11 + 6 = 17 therefore:

Sample Problem #2

Step #1:

Isolate the x. In order to do this you must do the opposite operation on the right side of the equation and do the same to the left (subtract 12 from both sides).

Step #2:

Simplify:

Therefore:

Practice Problems:

Section 3.2: Transforming Equations with Multiplication and Division

Sample Problem #1:

Step #1: Isolate the x. In order to do this you must do the opposite operation on the left side of the equation and do the same on the right side.

Step #2: Simplify:

Therefore:

Sample Problem #2:

Step #1: The operation that is going on here is multiplication. You must do the opposite operation to isolate the t. In order to do this you must divide by which is the same thing as multiplying by .

Step #2: Simplify

Therefore:

Sample Problem #3:

Step #1: The operation being performed in this equation is Division, therefore you must do multiplication to isolate the m.

Step #2: Simplify

Therefore:

Practice Problems:

Section 3.3: Using Several Transformations:

Sample Problem #1:

Step #1:

Isolate the term with the n. In order to do this you must get rid of the 9. In order to do this you must use the opposite operation, therefore you must first subtract 9 from both sides of the equation.

Step #2:

Now you must isolate the n in this problem. In order to do this you must do the opposite operation and divide both sides of the equation by 5.

Therefore:

Practice Problem #2:

Step #1:

Isolate (w – 5) in order to do this you must first multiply both sides of the equation by.

After you do this, you are left with:

Step #2: Now you must isolate the w. In order to do this you must add 5 to both sides of the equation.

Practice Problems:

Word Problems:

Sample Problem:

The sum of two consecutive integers is 43.

Step #1: Write the Equation

Key Words:

Sum= addition

Two Consecutive integers = (x) and (x+1)

Is = Equals.

Therefore the equation you need to solve for this problem is:

Step #2: Solve the Equation

In order to solve this problem you must first combine you like terms.

Step #3: Isolate the Term with X (subtract 1 from both sides of the equation)

Step #4: Isolate the X (divide both sides of the equation by 2)

Therefore:

Practice Problems:

  1. The sum of two consecutive integers is 43.
  2. The sum of four consecutive integers is -106.
  3. The product of two consecutive integers is 47.
  4. The sum of three consecutive integers is 24.
  5. The sum of two consecutive integers is -103.