Solving+Equations

__**Topic Overview:**__
 * An equation is likea balance scale because it shows that two quantities are equal.
 * The scale remain balanced when the same weight is added to each side.
 * Real world application is when a mother holds her babies and steps on a scale alone.

__**5 keys terms:**__
 * **Solution of the equation**-any value or values that make an equation true.
 * **Equivalent equations-**are equations that have the same solution( or solutions)
 * **Inverse operations-**which are operation that have undo one another.addition and subtraction are inverse operations.
 * **identity-**an equation that is true for every value of the variable.
 * **Consecutive integers-** integers that differ by 1.

__**4 Examples:**__ Solve x - 3 = -8 x - 3(+3) = -8(+3) x = -5 Solve AB = BC 15 = a + 4.2 15(-4.2) = a + 4.2(-4.2) 10.8 =a Solve -r /4 = -10.4 -4(-r /4) = - 4( -10.4) r = 41.6 Solve 4c = -96 4c/4 = -96/4 c = -24
 * **Addition property of equation:**
 * **Subtraction property of equation**:
 * **Multiplication property of equation**:
 * **Divisin property of equation:**

__**1 Word problem**:__ 189 + x =1048 189(-189)+ x =1048(-189) x = 959
 * **Sports:** In 1999, 189 physical therapists ran the New York City Marathon. This was 1048 fewer than the number of engineers who ran. How many engineers ran in the marathon?

__**2 Additional links**:__