SSAT Upper Level Quantitative Flashcards: Interpreting Graphs And Tables

What this deck covers

This deck focuses on Interpreting Graphs And Tables, giving you a quick way to review the definitions, rules, and examples that matter most for SSAT Upper Level Quantitative.

How to use these flashcards

Work through these flashcards in short sessions. Try to answer each prompt before flipping the card, then revisit any cards you miss until the explanation feels automatic.

Flashcard 1: If a line passes through $(2,3)$ and $(6,11)$, what is its slope?

Answer: $2$. Slope is found using the formula $\frac{y_2 - y_1}{x_2 - x_1}$ applied to the given points.

Flashcard 2: A scatter plot trend is upward from left to right. What correlation sign does this suggest?

Answer: Positive correlation. An upward trend in a scatter plot indicates that as one variable increases, the other tends to increase, suggesting positive correlation.

Flashcard 3: Identify the independent variable on a standard graph with labeled axes.

Answer: The variable on the $x$-axis. In standard graphing conventions, the independent variable is plotted on the horizontal x-axis as it is manipulated or controlled.

Flashcard 4: A table shows $x=1,2,3$ with $y=2,4,6$. What is the constant rate of change?

Answer: $2$ per $1$ unit of $x$. The constant rate of change is the consistent increase in y for each unit increase in x, as shown in the table.

Flashcard 5: Find the mean of the table values $3,6,9$.

Answer: $6$. The mean is calculated by summing all values and dividing by the number of values in the set.

Flashcard 6: What does it mean if a line graph is horizontal over an interval of $x$?

Answer: The value of $y$ is constant on that interval. A horizontal line segment signifies no change in the dependent variable despite variations in the independent variable over that period.

Flashcard 7: If a line has slope $-3$ and passes through $(0,5)$, what is $y$ when $x=2$?

Answer: $-1$. Using the line equation $y = mx + b$ with given slope and y-intercept, substitute x=2 to find y.

Flashcard 8: A graph point is labeled $(4,9)$. What is the value of $y$ when $x=4$?

Answer: $9$. In a coordinate pair (x, y), the second number directly gives the y-value for the specified x.

Flashcard 9: A scatter plot trend is downward from left to right. What correlation sign does this suggest?

Answer: Negative correlation. A downward trend in a scatter plot shows that as one variable increases, the other decreases, indicating negative correlation.

Flashcard 10: A line graph shows $y$ increases from $10$ to $16$ while $x$ increases from $2$ to $5$. Find slope.

Answer: $2$. Slope is computed as the change in y divided by the change in x over the given interval.

Flashcard 11: A table lists $x=0,1,2$ with $y=5,8,11$. What is the $y$-intercept?

Answer: $5$. The y-intercept is the y-value corresponding to x=0 in the linear relationship depicted in the table.

Flashcard 12: What does a positive slope on a line graph indicate about the relationship between $x$ and $y$?

Answer: As $x$ increases, $y$ increases. A positive slope indicates a direct relationship where the dependent variable increases proportionally with the independent variable.

Flashcard 13: What is the range of a data set shown on a graph or in a table?

Answer: Maximum value minus minimum value. The range measures the spread of data by subtracting the smallest value from the largest in the set.

Flashcard 14: A table gives total cost $C$ for $n$ items: $(n,C)=(2,10),(5,25)$. What is the unit cost $\frac{C}{n}$?

Answer: $5$. The unit cost is the constant ratio of total cost to number of items, verified as consistent across table entries.

Flashcard 15: Find the range of the table values $4,10,1,7$.

Answer: $9$. The range is determined by subtracting the minimum value from the maximum value in the data set.

Flashcard 16: A pie chart shows $40\%$ for $A$. What fraction of the whole is category $A$?

Answer: $\frac{2}{5}$. Convert the percentage to a fraction by dividing by 100 and simplifying to lowest terms.

Flashcard 17: What is the average rate of change from $x=a$ to $x=b$ on a graph?

Answer: $\frac{f(b)-f(a)}{b-a}$. The average rate of change is computed as the difference in function values divided by the difference in x-values over the interval.

Flashcard 18: Identify the dependent variable on a standard graph with labeled axes.

Answer: The variable on the $y$-axis. The dependent variable, which responds to changes in the independent variable, is conventionally placed on the vertical y-axis.

Flashcard 19: What does the slope between two points $(x_1,y_1)$ and $(x_2,y_2)$ represent on a line graph?

Answer: Rate of change: $\frac{y_2-y_1}{x_2-x_1}$. The slope formula calculates the rate of change in the dependent variable per unit change in the independent variable between two points on the graph.

Flashcard 20: What does a negative slope on a line graph indicate about the relationship between $x$ and $y$?

Answer: As $x$ increases, $y$ decreases. A negative slope shows an inverse relationship where the dependent variable decreases as the independent variable increases.

Flashcard 21: What is the median of the values $2,5,7,9,12$ (as might appear in a table column)?

Answer: $7$. For an odd number of sorted values, the median is the middle value in the ordered list.

Flashcard 22: What is the meaning of the $y$-intercept of a line graph in context?

Answer: The value of $y$ when $x=0$. The y-intercept indicates the initial value of the dependent variable when the independent variable is at its starting point of zero.

Flashcard 23: A bar chart shows counts $A=12$, $B=9$, $C=15$. Which category is greatest?

Answer: $C$. The greatest category in a bar chart is identified by comparing the heights of the bars representing each count.

Flashcard 24: If a graph uses a scale of $2$ units per tick mark, what value is $3$ ticks above $0$ on that axis?

Answer: $6$. Multiply the number of tick marks by the scale value per tick to find the distance from zero.

Flashcard 25: A pie chart shows $25\%$ for a category. What central angle (in degrees) represents it?

Answer: $90^\circ$. The central angle is calculated as the percentage times 360 degrees, the total degrees in a circle.