Knowledge of algebraic thinking and the coordinate plane
Help Questions
FTCE › Knowledge of algebraic thinking and the coordinate plane
and
.
If , then evaluate
.
Explanation
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.
Which of the following equations does not describe a line through the point ?
Explanation
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.
True
True
True
True
False
The correct choice is
.
What value of makes this a true statement?
Explanation
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:
.