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TSI Pre-Assessment Activity

Math

Solving Equations

Section 1: Solving Equations Using the Addition Property

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The Addition Property for Equations states that the same number can be added to or subtracted from each side of the equation without changing the solution to the equation.

Example 1:

Solve for k:   -15 = 48 + k

  Solution:

Isolate the k-term by cancelling the 48 from the right side of the equation.

-15 = 48 + k

-48    -48

-63 = k

Example 2:

Solve for c:  c-2/3=1/2

  Solution:

Isolate the c -term by cancelling the -2/3  from the left side of the equation.

c-2/3+2/3=1/2+2/3

The constants cancel on the left side of the equation. Write each fraction on the right side of the equation using the common denominator: 6

c=(1/2)(3/3) + (2/3)(2/2)

c=3/6-4/6=(3-4)/6=-1/6

The solution to   c-2/3=1/2  is c=-1/6 .

 

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