Practice Test 3 - GED Math

20 questions. Answer them in any order, then submit to see your score and every explanation.

  1. The scatterplot below shows the weights (in pounds) and heights (in inches) of 12 adult dogs of various breeds. Based on the scatterplot shown, which of the following best describes the relationship between a dog's height and weight for the dogs in this sample?
  2. A company's profit P (in thousands of dollars) is modeled by the equation P = -2x² + 16x - 24, where x represents the number of years since 2020. In which year will the company first break even (profit = 0)?
  3. Refer to the figure. A parallelogram has a base of 20 in and a slant side of 13 in. The height from the base to the opposite side is 12 in. If the parallelogram is enlarged so that each dimension is multiplied by 1.5, what will be the area of the enlarged parallelogram?
  4. The stacked bar graph shows monthly smartphone sales (in units) for Models A, B, and C over four months. Based on the graph shown, in which month did Model B make up the LARGEST percentage of that month's total sales, and approximately what was that percentage?
  5. Refer to the bar graph, showing daily high temperatures recorded for 7 days. If the temperature recorded on Day 4 is removed from the data set, how does the median change?
  6. Based on the bar chart below, how many more units of the compact car were sold than of the truck in 2022?
  7. A chemist needs to create 20 liters of a 35% acid solution by mixing a 20% acid solution with a 50% acid solution. Let xx represent liters of 20% solution and yy represent liters of 50% solution. After setting up the correct system of equations, the chemist should find that the amount of 50% solution needed is:
  8. Two lines are graphed in the coordinate plane shown. Based on the graph below, what is the solution (x,y)(x, y) to the system of equations represented by lines mm and nn?
  9. A smartphone plan charges a monthly base fee plus a charge per gigabyte of data used. Sarah's bill was $65 for using 4 GB, and Mike's bill was $89 for using 8 GB. What will be the cost for a customer who uses exactly 6 GB of data?
  10. Line A passes through the points (1, 5) and (3, 1). Line B passes through the points (0, 4) and (6, 1). What is the y-coordinate of the point where Line A and Line B intersect?
  11. Based on the scatter plot below, which statement best explains the correlation between minutes spent on the treadmill and calories burned?
  12. A contractor budgets xx dollars for materials and expects labor costs to be 1.8 times as much. Which expression represents the total budget, in dollars?
  13. Consider the system {ax+by=122x+3y=6\begin{cases} ax + by = 12 \\ 2x + 3y = 6 \end{cases} where aa and bb are constants. If this system has no solution, which of the following must be true about the relationship between aa and bb?
  14. How many units must the company sell to break even, where cost equals revenue?
  15. Solve the quadratic equation x2−9x+20=0.x^{2}-9x+20=0. Which set contains all real solutions?
  16. The line graph shows the population (in thousands) of two towns, Town X and Town Y, from 2010 to 2020. Based on the graph shown, during which two-year interval did Town Y's population grow at the greatest average annual rate, and what was that rate (in thousands per year)?
  17. A function is defined by f(x)=5−2xf(x)=5-2x. What is the value of f(−4)f(-4)?
  18. The equation y=mx+by = mx + b represents a line where m<0m < 0 and b>0b > 0. In which quadrant does this line definitely NOT pass through?
  19. The line graph shows a company's revenue and expenses (both in thousands of dollars) over 6 months. Profit = Revenue − Expenses. Based on the graph shown, in which month was the profit the greatest, and what was that profit?
  20. The graph below shows a line passing through two marked points. Which of the following equations has a graph that is parallel to the line shown AND has a y-intercept of −2-2?

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