We can determine whether the highest vote-getter, Johnson, won the election outright by comparing Johnson's votes to the sum of the votes of his opponents. The votes won by his opponents sum up to:

Johnson won 5,813 votes. Since ,  he did not win a majority, and he will face the second highest vote-getter, Allen, in a runoff.

We can determine whether the highest vote-getter, Boatwright, won the election outright by comparing Boatwright's votes to the sum of the votes of his opponents. The votes won by his opponents sum up to:

Boatwright won 8,542 votes. Since ,  Boatwright won a majority, and thus won the election outright.

Don't forget, when graphing points on a graph go left or right first then go up or down.

(2,8) and (3,9) has a slope of 1.

The slope is found using the formula,

where 

 and 

Rise of 1 and a Run of 1.

Other coordinates are 

The line will cross the y-axis at .

Average or Mean is the total divided by the number of items.

Total equals 66, divided by the 11 numbers equals 6.

The Median is the middle number when put in order from least to greatest.

Five numbers on the left of 6 and five numbers on the right of 6. Six is in the middle when in order from least to greatest.

Answer is 6.

Mean = 6

Median = 6

When reading a bar graph, each bar contains different information.  Look at the following bar graph.

The names of each student are displayed at the bottom.  The number of books borrowed is displayed at the left.  Each bar represents the number of books borrowed by a specific student.

We are asked to find the total number of books borrowed by Jessica and Emma. If we locate Jessica's name on the bottom, we can see the value of the bar is 5.  This means Jessica borrowed 5 books.  If we locate Emma's name on the bottom, we can see the value of the bar is 4.  Now, finding the total number of books borrowed by Jessica and Emma, we simply add.

So the total number of books borrowed by Jessica and Emma is 9.

The midpoint formula is: 

Given our points are  we can plug them into the midpoint formula and get the following.

Simplifing the we find the coordinate of the midpoint.

The slope of a horizontal line is zero.

The slope of a vertical line is undefined.

A pie chart contains portions that total to 100%.  To find the percentage of books that are NOT science fiction, we subtract the percentage of science fiction from 100%.  

The percentage of books that are sicence fiction is 17%.  So,

Therefore, 83% of the books are NOT science fiction.

The key is solving this problem is remembering the division of quadrants and how the sign of the x- and y-coordinates determines the quadrant.  The picture diagram below helps greatly.

Using the diagram as a guide, we remember that a point is only in Quadrant II if the x-coordinate is negative while the y-coordinate is positive.  We therefore need only to look at all of the points in our list to determine how many satisfy these conditions.  Two of the points,  and , both have x-coordinates that are negative.  However, neither of these have positive y-coordinates.  In , the y-coordinate is negative, which means the point is in Quadrant III.  in , the y-coordinate is , meaning that the point lies on the x-axis rather than in any quadrant.  Therefore, none of the listed points are in Quadrant II, meaning our answer is .

The point given in the problem is expressed as an ordered pair in the form . The number in the place of the  is called the x-coordinate and tells how far from the origin to move horizontally, while the number in place of the  is called the y-coordinate and tells how far to move from the origin vertically.  The coorinate plane (the set of axes we graph points on) is divided into four regions (or quadrants) by the x-axis and y-axis.  The top right region is Quadrant I, the top left region is Quadrant II, the bottom left region is Quadrant III, and the bottom right region is Quadrant IV.  

Going back to our x-coordinate and y-coordinate, a postive x-coordinate means we move right from the origin the same number of units as the value.  A negative x-coordinate means we move left from the origin.  With y-coordinates, a positive value means we move up, while a negative value means we move down the indicated number of units.  Since the ordered pair given in the problem is   , our x-coordinate is  and our y-coordinate is .  That means we should move left from the origin five units and then down three units. The resulting plotted point is shown.

Having plotted the point we can clearly see that we are in Quadrant III, giving us the correct answer.  In general, we can actually determine the quadrant of a point without plotting if we keep some general rules in mind.  If the x- and y-coordinates are both positive, we are in Quadrant I.  If the x-coordinate is negative while the y-coordinate remains positive, we are in Quadrant II.  If both coordinates are negative, we are in Quadrant III.  Finally, if the x-coordinate is positive while the y-coordinate is negative, we are in Quadrant IV.  If either of the coordinates happens to be zero, our point will lie on one of the axes.