Math 1 Quiz: Choosing Representations

What this quiz covers

This quiz focuses on Choosing Representations, giving you a quick way to practice the rules, question types, and explanations that matter most for Math 1.

How to use this quiz

Try each quiz question before looking at the correct answer. Use the explanations to review missed ideas, then come back to similar questions until the pattern feels familiar.

Question 1

1. The equation $\pi r^2 h = 500$ solved for $h$ in terms of $r$
2. A table showing radius values and their corresponding required heights
3. A graph of $h$ versus $r$ with the constraint $4 \leq h \leq 8$ highlighted (correct answer)
4. A diagram showing the cylindrical tank with labeled dimensions

Question 2

1. A table showing defect rates (defects per 100 items) for each line by month
2. Five separate line graphs showing defect counts over time for each production line
3. A single bar graph comparing total defects for each production line across all months
4. A heat map showing defect rates with production lines as rows and months as columns (correct answer)

Question 3

1. Separate box plots for temperature data grouped by elevation intervals of 1000 feet
2. A frequency histogram showing the distribution of temperatures across all stations
3. A table organizing stations into elevation ranges and showing average temperature for each range
4. A scatter plot with elevation on x-axis and temperature on y-axis, including a trend line (correct answer)

Question 4

1. A scatter plot with study hours on the x-axis and test scores on the y-axis (correct answer)
2. A frequency table showing the number of students in each test score range
3. A linear equation expressing test scores as a function of study hours
4. A bar graph comparing average test scores for different study hour categories

Question 5

1. A table listing the initial and final population for each neighborhood
2. A line graph with years on the x-axis and separate lines for each neighborhood (correct answer)
3. A pie chart showing the proportion of total city population in each neighborhood
4. A histogram showing the distribution of population changes across all neighborhoods

Question 6

1. Two separate equations: $w = 40 - l$ and $A = l(40 - l)$
2. A single graph showing both width and area as functions of length on the same axes (correct answer)
3. A table with columns for length, width, and area using length values from 5 to 35 feet
4. A diagram showing rectangles with different proportions and their corresponding dimensions

Question 7

1. The exponential equation $P(t) = P_0 \cdot 2^{t/3}$ where $t$ is time in hours (correct answer)
2. A table showing population values at 3-hour intervals for the first 24 hours
3. A semi-log graph with time on the x-axis and log(population) on the y-axis
4. A standard graph with time on the x-axis and population on the y-axis

Question 8

1. Four histograms showing the distribution of ratings within each age group
2. A single bar chart showing average satisfaction rating for each age group
3. Side-by-side box plots comparing the four age groups (correct answer)
4. A scatter plot with age on the x-axis and satisfaction rating on the y-axis

Question 9

1. The parametric equations $x(t) = v_0 \cos(\theta) \cdot t$ and $y(t) = v_0 \sin(\theta) \cdot t - \frac{1}{2}gt^2$
2. A graph with launch angle on x-axis and both maximum height and range plotted as separate curves (correct answer)
3. A table showing launch angle, time of flight, maximum height, and horizontal range
4. Multiple trajectory diagrams showing the path for different launch angles

Question 10

1. A scatter plot with socioeconomic index on the x-axis and test scores on the y-axis, with each point representing a school and a trend line showing expected performance (correct answer)
2. A ranked list table showing all schools ordered from highest to lowest test scores, with additional columns for demographic and resource data
3. A bar chart comparing average test scores across different socioeconomic categories, with schools grouped into low, medium, and high categories
4. A series of box plots showing the distribution of test scores for schools within each socioeconomic quartile

Question 11

1. A graph showing final savings amount versus monthly contribution with a curved line (correct answer)
2. The future value formula $FV = PMT \cdot \frac{(1+r)^n - 1}{r}$ with appropriate substitutions
3. A table comparing monthly contributions from $100 to $1000 with corresponding final amounts
4. A pie chart showing how monthly contributions, interest, and time contribute to growth