Chapter 2 - Linear Equations

Question 1

What is the diff between expression vs equations

Answer 1

Equation contain an equal sign, and expression do not

Question 2

Solve Abs Value Equation:

Abs Value refers to the positive value of the expression INSIDE the abs value brackets.

ABS Value generally have 2 solutions unless 1 solution fails the validity test.

Value of the expression INSIDE the Abs Value could be positive or negative.

Answer 2

Solve for w, given that 12 + |w-4| = 30

Step 1: Isolate the expression within the abs value brackets

12 + |w-4| = 30 ⇒ |w-4| = 18

Step 2: Once you have an equation of the form |x| =a with a > 0, x = ± a. Remove the Abs Value brackets and solve the equation for 2 diff cases:

CASE 1: x = a ( x is positive) CASE 2: x= - a ( x is negative)

w-4 = 18 w-4= - 18

w=22 w= - 14

Step 3: Plug each solution into original equation to verify that two sides of the equation are in fact equal.