Graph Totals and Differences - ISEE Lower Level Mathematics Achievement

1. What does the total for several categories on a bar graph equal?

   The sum of the bar heights for those categories. Summing the heights of selected bars provides the combined total across those categories on a bar graph.

2. What is the missing category value if the sum of $4$ categories is $50$ and three are $10$, $15$, $12$?

   $13$. Subtracting the sum of the three known categories from the overall total finds the value of the missing one.

3. What is the difference between consecutive points $(1, 9)$ and $(2, 6)$ in $y$?

   $3$. Subtracting the $y$-value of the second point from the first computes the vertical difference between them.

4. What is the difference between two stacked totals $17$ and $23$ as read from a graph?

   $6$. Subtracting the smaller stacked total from the larger one determines the difference between those graph readings.

5. What is the difference between the highest value $30$ and lowest value $18$ on a graph?

   $12$. Subtracting the lowest value from the highest one calculates the range of values shown on the graph.

6. What is the total of two stacked-bar segments $9$ and $4$ in one category?

   $13$. Adding the lengths of the two segments in a stacked bar gives the complete value for that category.

7. What is the total of $3$, $5$, and $2$ as read from three graph bars?

   $10$. Adding the heights of the three specified bars gives the overall total for those graph categories.

8. What is the net change if a graph goes up $8$ and then down $3$?

   $5$. Subtracting the decrease from the increase determines the overall net change depicted on the graph.

9. What is the total of $4$ categories if each bar has height $6$?

   $24$. Multiplying the uniform bar height by the number of categories yields the total across all of them.

10. What is the difference between totals $18$ and $25$ from two groups on a graph?

    $7$. Subtracting the smaller total from the larger one determines the difference between the two graphed groups.

11. What is the total after combining two groups with graph totals $14$ and $19$?

    $33$. Adding the totals of the two groups combines their values as represented on the graph.

12. What is the change from $y_1$ to $y_2$ on a line graph?

    $y_2 - y_1$. Subtracting the initial $y$-value from the final one determines the vertical change between points on a line graph.

13. What is the total increase if a graph rises by $2$ and then rises by $5$?

    $7$. Adding the individual increases shown on the graph computes the cumulative rise over those segments.

14. What is the change from $(2, 4)$ to $(5, 11)$ on a line graph in $y$-value?

    $7$. Subtracting the initial $y$-coordinate from the final one calculates the change in the vertical direction on the line graph.

15. What is the difference between two graph values $12$ and $7$?

    $5$. Subtracting the smaller value from the larger one computes the difference between the two graph readings.

16. What is the total of the values at $x = 1, 2, 3$ if they are $6$, $1$, and $3$?

    $10$. Summing the values at the three specified $x$-points provides the total from those graph positions.

17. What is the difference between averages $9$ and $11$ shown for two teams on a graph?

    $2$. Subtracting the smaller average from the larger one quantifies the disparity between the two teams' performances.

18. What does a point $(x, y)$ on a graph tell you directly?

    At $x$, the value is $y$. The coordinates indicate the precise value of the dependent variable corresponding to the given independent variable.

19. What does the difference between two categories on a graph represent?

    The larger value minus the smaller value. Subtracting the smaller category value from the larger one quantifies the disparity between them on the graph.

20. What is the total of the first three days if a line graph shows $5$, $8$, and $7$?

    $20$. Summing the values for the first three days aggregates the total over that initial period on the line graph.

21. What is the missing value if a graph total is $20$ and known parts sum to $15$?

    $5$. Subtracting the sum of known parts from the overall total reveals the value of the missing component on the graph.

22. What is the total of values $2$, $7$, $0$, and $6$ read from a graph?

    $15$. Summing the four specified values extracted from the graph provides their combined total.

Study these flashcards