Practice Test 2 - GED Math

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

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1. A line passes through $(2,5)$ and $(6,-3)$. What is the equation of this line in slope-intercept form?
2. The graph shown represents the function $f(x) = ax^2 + bx + c$. Which statement about the coefficients must be true?
3. What is the slope of the line represented by the equation $2x+3y=12$ ?
4. The length of a photograph is 4 inches more than twice its width. If the width is $w$ inches, which expression represents the length?
5. Use the time-series plot to answer the question. In which quarter did company revenue first exceed $2.5 million?
6. The function $g(x) = 3x - 7$ represents the relationship between the input $x$ and output $g(x)$. If $g(a) = 2$ and $g(b) = 14$, what is the value of $g(a + b)$?
7. A rectangular garden is 24 feet long and 15 feet wide. What is the perimeter of the garden?
8. A line has a slope of $\dfrac{5}{4}$ and passes through the point $(0,-3)$. Which equation describes this line?
9. The numbers $12,\,15,\,9,\,18,\,14$ are written in order from least to greatest. What is the median of the data set?
10. The graph shows the quadratic function $f(x)$. If $g(x) = f(x - 2) + 3$, what are the coordinates of the vertex of $g(x)$?
11. A bacteria culture doubles every 3 hours. If there are initially 500 bacteria, which expression represents the number of bacteria after t hours?
12. Maria is planning a fundraising dinner. She pays a flat fee of $85 to rent the hall plus $12 for each guest's meal. If Maria collected $g$ guests' ticket payments, which expression represents her total cost, in dollars, for the event?
13. The graph shown represents the function $f(x)$. Which of the following is the equation for $f(x)$?
14. A delivery truck travels from warehouse A to warehouse B at 45 mph, then returns at 60 mph due to lighter traffic. If the total trip takes 3.5 hours, what equation represents this situation where d is the distance between warehouses?
15. A quality control inspector measures the diameter of 11 manufactured bolts in millimeters: 9.8, 10.2, 9.9, 10.1, 10.0, 9.8, 10.3, 9.9, 10.0, 10.1, 10.2. After identifying that bolts with diameters outside the range of 9.9 to 10.1 mm (inclusive) are defective, what is the mean diameter of only the acceptable bolts?
16. A cube has a total surface area of $486\text{ cm}^2$. What is the volume of the cube?
17. Use the table above to write an equation for the total number of cupcakes, $T$, sold during the week in terms of $d$, the number sold on Friday.
18. A research study collects response times in seconds: 4.2, 3.8, 4.5, 3.9, 4.1, 4.3, 5.2, 4.0, 4.4, 3.7, 4.6. The researcher wants to report the median response time but realizes that one of the 4.4 values might actually be 4.8. If this change is made, how would it affect the median?
19. A construction crew completes $\frac{2}{5}$ of a project in the first week and $\frac{1}{3}$ of the remaining work in the second week. What fraction of the original project is still incomplete after two weeks?
20. A student recorded the following quiz scores: $7,\,9,\,10,\,6,\,8,\,9$. What is the median score?

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