Example Question #1 : Knowledge Of Algebraic Thinking And The Coordinate Plane
If , then evaluate .
If , then can be determined from the equation
first by substituting 18 for :
then by dividing both sides by 18 to isolate the :
Now, in the other equation, substitute 4 for :
Divide both sides by 4 to isolate the :
the correct choice.
Example Question #2 : Knowledge Of Algebraic Thinking And The Coordinate Plane
Which of the following equations does not describe a line through the point ?
If the line of an equation passes through , then, if and , the equation should be true. Therefore, we can identify the correct choice by substituting 2 and 6 for and , respectively, in each equation.
The correct choice is
Example Question #3 : Knowledge Of Algebraic Thinking And The Coordinate Plane
What value of makes this a true statement?
Isolate the on the left side of the equation by performing the same steps on both sides. These steps should be the opposite of the operations performed on , as follows:
Multiplication precedes subtraction in the order of operations, so reverse the subtraction of 12 by adding 12 to both sides:
Now reverse multiplication by 2 by dividing by 2: