1. What is $f(0)$ for the function $f(x) = x + 7$?
2. In the standard $(x, y)$ coordinate plane, point $A$ has coordinates $(4, -3)$ and point $B$ has coordinates $(-2, 7)$. What are the coordinates of the midpoint of line segment $\overline{AB}$?
3. A student models the height $y$ (in inches) of a plant after $x$ days with the equation $y=-2x+9$. What is the y-intercept of this line?
4. Which equation has slope -4 and y-intercept 6?
5. What is $f(0)$ for the function $f(x) = -5x + 9$?
6. A linear function models the balance in a gift card after buying snacks. The function is $f(x)=-4x+20$, where $x$ is the number of snacks purchased. What is $f(0)$?
7. What is the y-intercept of the line $y = 3x + 5$?
8. A delivery drone’s height changes at a constant rate as it flies. The drone is at height 2 meters when it is 1 second into the flight and at height 14 meters when it is 5 seconds into the flight. What is the slope of the line through points $(1,2)$ and $(5,14)$?
9. Which equation represents a line with a slope of 5 and a y-intercept of -1?
10. The cost $y$ (in dollars) to rent a bike is linear. The shop charges a $\$6$ fixed fee plus $\$3$ per hour. Which equation has slope $3$ and y-intercept $6$?
11. What is the y-intercept of the line $y = 2x + 6$?
12. A car rental price is modeled by a line with slope $-2$ that passes through the point $(3,5)$. Which equation represents this line?
13. A temperature conversion is modeled by a linear equation. Which equation has slope $-1$ and $y$-intercept $2$?
14. What is the y-intercept of the line $y = 4x - 5$?
15. What is the slope of the line through points (0, 0) and (5, 10)?
16. Which equation has slope 4 and y-intercept -2?
17. A delivery drone’s height changes at a constant rate as it flies. The drone is at height 2 meters when it is 1 second into the flight and at height 14 meters when it is 5 seconds into the flight. What is the slope of the line through points $(1,2)$ and $(5,14)$?
18. A linear function models the balance in a gift card after buying snacks. The function is $f(x)=-4x+20$, where $x$ is the number of snacks purchased. What is $f(0)$?
19. What is the slope of the line through points (-3, -2) and (1, 6)?
20. A linear function models the number of pages read: $y=7x-1$, where $x$ is hours and $y$ is pages. What is the y-intercept of the line $y=7x-1$?
21. A line models the temperature $y$ (in °C) as a function of time $x$ (in hours) during a cooling process. The line passes through $(0,8)$ and $(6,-4)$. Which equation gives the line in slope-intercept form?
22. What is $f(0)$ for the function $f(x) = -6x + 1$?
23. In the standard $(x, y)$ coordinate plane, what is the slope of the line given by the equation $5x + 2y = 10$?
24. In the standard $(x, y)$ coordinate plane, point $A$ has coordinates $(3, -4)$ and point $B$ has coordinates $(-5, 8)$. What are the coordinates of the midpoint of line segment $\overline{AB}$?
25. A student saves \$40 in month 1, and \$10 more each subsequent month. What is the total amount saved after 6 months?
26. The first 4 terms of an arithmetic sequence are 12, 19, 26, and 33. What is the value of $t_{20}$?
27. Which equation has slope -1 and y-intercept 5?
28. Which equation represents a line with a slope of 0 and a y-intercept of -3?
29. What is $f(0)$ for the function $f(x) = 7x - 4$?
30. What is the y-intercept of the line $y = -3x + 4$?
31. What is $f(0)$ for the function $f(x) = 7x + 3$?
32. Which graph represents the equation $y = -3x + 2$?
33. Which equation has a slope of -1 and y-intercept 2?
34. Which equation represents a line with a slope of -2 and a y-intercept of 4?
35. Which equation has a slope of 1 and y-intercept -3?
36. Which equation has slope 2 and y-intercept 1?
37. What is the slope of the line through points (-1, 4) and (2, -5)?
38. A linear cost model has slope $m=\dfrac{3}{2}$ and y-intercept $b=-4$. Which equation has slope $\dfrac{3}{2}$ and y-intercept $-4$?
39. A line shows a constant rate of change in a game score. The line passes through points $(-3,-1)$ and $(1,7)$. What is the slope of the line through points $(-3,-1)$ and $(1,7)$?
40. A line represents a constant change in a bank balance. The line has slope $m=-1$ and passes through the point $(6,2)$. What is the equation of the line in the form $y=mx+b$?
41. A student tracks savings over time with a linear model. The line passes through points $(0,-2)$ and $(4,6)$, where $x$ is weeks and $y$ is dollars saved. What is the slope of the line through points $(0,-2)$ and $(4,6)$?
42. A linear temperature model has slope $m=4$ and passes through the point $(2,-1)$, where $x$ is hours and $y$ is degrees. What is the equation of the line in the form $y=mx+b$?
43. A linear function describes a phone plan cost: $y=\dfrac{1}{2}x+8$, where $x$ is data used (GB) and $y$ is dollars. What is the y-intercept of the line $y=\dfrac{1}{2}x+8$?
44. A linear function models the height of water in a tank: $f(x)=3x-7$, where $x$ is minutes and $f(x)$ is inches. What is $f(0)$ for the function $f(x)=3x-7$?
45. A linear function models the value of a coupon: $f(x)=-2x+15$, where $x$ is the number of items purchased. What is $f(0)$ for the function $f(x)=-2x+15$?
46. A line represents a constant-rate change in elevation. The line passes through points $(-2,3)$ and $(4,0)$. What is the slope of the line through points $(-2,3)$ and $(4,0)$?
47. A delivery fee is linear in distance. The line has slope $m=-3$ and y-intercept $b=12$. Which equation has slope $-3$ and y-intercept $12$?
48. A taxi fare is modeled by a linear function where $x$ is miles traveled and $y$ is total cost in dollars. The fare has slope $m=2$ and passes through the point $(3,11)$. What is the equation of the line in the form $y=mx+b$?
49. Which equation has slope -3 and y-intercept 7?
50. What is the slope of the line through points $(-3, -2)$ and $(3, 4)$?
51. What is the y-intercept of the line $y = 2x + 9$?
52. Which equation has slope 3 and y-intercept -2?
53. What is $f(0)$ for the function $f(x) = 9x - 7$?
54. What is the y-intercept of the line $y = -2x + 7$?
55. What is $f(0)$ for the function $f(x) = -5x + 4$?
56. What is the y-intercept of the line $y = 6x + 2$?
57. What is the slope of the line through points (0, 0) and (4, 8)?
58. A gym charges a flat starting fee plus a constant cost per visit. The relationship is modeled by $f(x)= -4x+12$, where $x$ is the number of visits. What is $f(0)$?
59. A student graphs a linear function representing temperature change over time and writes the equation $y=-2x+7$. In this model, what is the y-intercept of the line?
60. A line has equation $y=\dfrac{3}{2}x-6$. A student says the slope is $-6$ because it is the number at the end. What is the actual slope of the line?
61. A straight road on a map is modeled by a line passing through the points $(-3, -4)$ and $(1, 0)$. What is the slope of this line?
62. A taxi fare is linear: it starts with a fixed fee and then increases at a constant rate per mile. The fare line passes through the points $(1, 6)$ and $(5, 14)$. Which equation models the fare $y$ (in dollars) as a function of miles $x$?
63. A line on a coordinate plane crosses the y-axis at $3$ and decreases 1 unit for every 2 units it moves to the right. Which equation matches this description?
64. A line represents the balance in a bank account over time. The relationship is given by $y=-4x+12$, where $x$ is weeks and $y$ is dollars. What is the y-intercept of the line $y=-4x+12$?
65. A hiking trail rises steadily between two marked points on a map. The trail passes through points $(-2, 5)$ and $(4, -1)$ on a coordinate grid, where $x$ is miles east and $y$ is elevation in hundreds of feet. What is the slope of the line through points $(-2,5)$ and $(4,-1)$?
66. A line on a coordinate plane passes through the points $(0,-2)$ and $(3,4)$. What is the slope of the line shown by these two points?
67. A taxi company charges a fixed fee plus a constant rate per mile. The total cost $y$ (in dollars) is a linear function of miles $x$. The line has slope $m=3$ and passes through the point $(2,11)$. Which equation represents this situation in slope-intercept form?
68. A delivery truck’s distance from a warehouse changes at a constant rate. The line on the coordinate plane passes through the points $(-4,1)$ and $(2,5)$. What is the slope of the line through points $(-4,1)$ and $(2,5)$?
69. A student graphs a line that represents a constant rate of change. The line shown passes through the points $(-1,2)$ and $(3,0)$. What is the slope of the line shown?
70. A streaming service charges a monthly fee plus a constant amount per movie rented. The cost is modeled by $f(x)=2x+7$, where $x$ is the number of movies rented and $f(x)$ is the total cost in dollars. What is $f(0)$ for the function $f(x)=2x+7$?
71. A line on a coordinate plane represents a linear function. The line crosses the y-axis at $-1$ and rises 2 units for every 1 unit it moves to the right. Which equation matches this graph?
72. A company’s profit changes linearly with the number of items sold. The line goes through points $(2,-1)$ and $(6,7)$. What is the slope of the line through these points?
73. A hiker’s elevation changes at a constant rate along a trail. The trail’s elevation line has slope $-2$ and passes through the point $(3,7)$. Which equation represents this line?
74. A line models the amount of water in a tank, changing at a constant rate. The line passes through points $(0,4)$ and $(3,13)$. Which equation represents this linear relationship?
75. A taxi charges a fixed start fee plus a constant cost per mile. The cost is $\$11$ after 2 miles and $\$23$ after 6 miles. Which equation gives the total cost $y$ (in dollars) as a function of miles $x$?
76. A student tracks the temperature (in °C) of a cooling liquid, which changes linearly with time. The line passes through points $(0,18)$ and $(4,6)$. What is the y-intercept of the line through these points?
77. The first term of an arithmetic sequence is 5 and the third term is 13. What is the 20th term of this sequence?
78. An employee's salary increases by exactly $$\1,500$$ each year. If the employee earned $$\42,000$$ in the 5th year, what is the total amount the employee earned during the first 10 years combined?
79. A taxi charges a fixed start fee plus a constant cost per mile. The cost is $\$11$ after 2 miles and $\$23$ after 6 miles. Which equation gives the total cost $y$ (in dollars) as a function of miles $x$?
80. What is $f(0)$ for the function $f(x) = 3x - 2$?
81. A hiker’s elevation changes at a constant rate along a trail. The trail’s elevation line has slope $-2$ and passes through the point $(3,7)$. Which equation represents this line?
82. A line on a coordinate grid passes through the points $(0,-2)$ and $(4,6)$. What is the slope of the line through points $(0,-2)$ and $(4,6)$?
83. A straight road on a map is represented by the equation $y=\dfrac{3}{2}x-4$. What is the $y$-intercept of the line $y=\dfrac{3}{2}x-4$?
84. A delivery driver tracks their route on a map and notes that their position changed from $(2,5)$ to $(8,-1)$ on a coordinate grid. What is the slope of the line through points $(2,5)$ and $(8,-1)$?
85. A student tracks the temperature (in °C) of a cooling liquid, which changes linearly with time. The line passes through points $(0,18)$ and $(4,6)$. What is the y-intercept of the line through these points?
86. Which equation has slope 1 and y-intercept 0?
87. A straight road’s elevation above sea level changes linearly with distance. The elevation line is $y=5x-10$. What is the y-intercept of this line?
88. What is the slope of the line through points (4, -1) and (6, 5)?
89. What is the y-intercept of the line $y = -5x + 8$?
90. A line has slope $-3$ and passes through the point $(2,1)$. Which equation represents the line?
91. A taxi fare is modeled by the linear function $f(x)=4x+7$, where $x$ is miles traveled and $f(x)$ is total cost in dollars. What is $f(0)$?
92. A taxi charges a fixed pickup fee plus a constant rate per mile. The cost is modeled by a linear function with slope $m=4$ and $y$-intercept $b=7$. Which equation has slope $4$ and $y$-intercept $7$?
93. A store’s profit is modeled by the linear function $f(x)=6x-9$, where $x$ is the number of items sold. What is $f(0)$ for the function $f(x)=6x-9$?
94. What is the slope of the line through points (4, 5) and (-2, -1)?
95. A straight road’s elevation above sea level changes linearly with distance. The elevation line is $y=5x-10$. What is the y-intercept of this line?
96. What is the slope of the line through points (3, 5) and (-1, -1)?
97. What is the y-intercept of the line $y = 7x - 2$?
98. A delivery driver’s location is recorded at two times: at 2 minutes the driver is at position $(1,3)$ and at 6 minutes the driver is at position $(5,11)$ on a coordinate grid. What is the slope of the line through points $(1,3)$ and $(5,11)$?
99. A company’s profit is modeled by the linear equation $y=5x-20$, where $x$ is the number of items sold and $y$ is profit in dollars. What is the y-intercept of this line?
100. A line passes through the points $(0,-3)$ and $(4,5)$. Which equation represents this line?
101. What is the slope of the line through points (1, 2) and (4, 8)?
102. What is the y-intercept of the line $y = -3x + 6$?
103. A company’s profit is modeled by the linear equation $y=-4x+20$, where $x$ is the number of weeks and $y$ is profit in thousands of dollars. What is the y-intercept of the line $y=-4x+20$?
104. A linear function models the height of a plant: $f(x)= -5x+30$, where $x$ is weeks. What is $f(0)$ for the function $f(x)=-5x+30$?
105. A runner’s position is linear in time. The line passes through $(1,4)$ and $(5,-8)$, where $x$ is seconds and $y$ is meters relative to a marker. What is the slope of the line through points $(1,4)$ and $(5,-8)$?
106. A line is drawn on a coordinate plane through the two points shown: $(0, -2)$ and $(3, 4)$. What is the slope of the line shown?
107. A linear model for the number of pages a printer can print is given by $y=\dfrac{1}{2}x-3$, where $x$ is minutes and $y$ is pages (in tens). Which graph represents the equation $y=\dfrac{1}{2}x-3$?
108. A line models the relationship between the number of items sold $x$ and profit $y$ (in dollars). The line has slope $m=-3$ and y-intercept $b=6$. Which equation has slope $m$ and y-intercept $b$?
109. A moving company’s total charge is linear and passes through the points $(1,10)$ and $(5,22)$, where $x$ is hours worked and $y$ is total cost in dollars. Which equation models this relationship?
110. In the standard $(x, y)$ coordinate plane, what is the slope of the line given by the equation $5x + 2y = 10$?
111. In the standard $(x, y)$ coordinate plane, point $A$ has coordinates $(3, -4)$ and point $B$ has coordinates $(-5, 8)$. What are the coordinates of the midpoint of line segment $\overline{AB}$?