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Example Questions
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.
True
True
True
True
False
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:
.
Example Question #21 : Ftce
What is the likelihood, expressed as a percentage, of rolling 2 straight 2s using one 6-sided dice?
8.5%
5%
3%
17%
3%
The likelihood of rolling any given number on a 6-sided dice is 16.6%, to get the likelihood of that even happening twice in a row, simply multiply 16.6% by itself, to get 2.7%, rounded up to 3%
Example Question #22 : Ftce
A set of ten scores has mean 30.
Nine of the scores are given below, with the circle representing the tenth.
What is the tenth score?
The mean of a group of scores is equal to their sum divided by the number of scores , or,
Set and , and solve for :
Multiply both sides by 10 to reverse division by 10:
The sum of the scores must be 300. Add the known scores:
Subtract this sum from 300:
,
the missing tenth score.