1. Which equation describes a line that has a y-intercept of 5 and a slope of ½ ?
A y = 5 + ½ x
B y = ( 5 + x ) ½
C y = 5x + ½
D y = ( 5x + 1 ) ½
Problem #1
Obj 3 - TAKS th [A.C2(D)]

2. Which function includes the data set {(2, 4), (6, 6), (12, 9)}? AB C D
Problem #2
Obj 3 - TAKS th [A.C1(C)]

3. What is the slope of the linear function shown in the graph? AB C D
Problem #3
Obj 3 - TAKS th [A.C2(A)]

4. A The plane descends about 1 foot per 8 seconds.
The line segment on the graph shows the altitude of a landing airplane from the time its wheels are lowered to the time it touches the ground. Which of the following best describes the slope of the line segment?
A The plane descends about 1 foot per 8 seconds.
B The plane descends about 8 feet per second.
C The plane descends about 1 foot per 2 seconds.
D The plane descends about 2 feet per second.
Problem #4
Obj 3 - TAKS th [A.C2(B)]

5. What are the x- and y-intercepts of the function graphed to the right?
A (4, 0) and (5, 0)
B (4, 0) and (0, 5)
C (0, 4) and (5, 0)
D (0, 4) and (0, 5)
Problem #5
Obj 3 - TAKS th [A.C2(E)]

6. Which coordinate points represent the x- and y-intercepts of the graph shown to the right?
A (0, –4) and (6, 0)
B (–4, 0) and (0, 6)
C (6, 0) and (–4, 0)
D (0, 6) and (0, –4)
Problem #6
Obj 3 - TAKS th [A.C2(E)]

7. A The slope will change from positive to negative.
What will happen to the slope of line p if the line is shifted so the the y-intercept increases and the x-intercept remains the same?
A The slope will change from positive to negative.
B The slope will change from negative to positive.
C The slope will increase.
D The slope will decrease.
Problem #7
Obj 3 - TAKS th [A.C2(C)]

8. What is the rate of change of the graph to the right? A 3.5 B 1.67
D –1.67
Problem #8
Obj 3 - TAKS th [A.C2(A)]

9. Which equation describes the line that passes through the point
(4, 7) and is parallel to the line represented by the equation
3x + y = 4?
A y = -3x + 19
B y = 3x - 19
C y = ⅓ x + 5 ⅔
D y = - ⅓ x + 8 ⅓
Problem #9
Obj 3 - TAKS th [A.C2(D)]

10. Which graph best represents the function y = –1.75x + 5
Problem #10
Obj 3 - TAKS th [A.C1(C)]

11. The graph of a line is shown to the right.
If the slope of this line is multiplied by –1 and the y-intercept decreases by 2 units, which linear equation represents these changes? A B C D
Problem #11
Obj 3 - TAKS th [A.C2(C)]

12. Which equation represents the line that passes through the points (–1, 4) and (3, 2)?B C D
Problem #12
Obj 3 - TAKS th [A.C2(D)]

13. Matt is a speed skater. His coach recorded the following data during a timed practice period.
If Matt continues to skate at the rate shown in the table, what is the approximate distance in meters he will skate in 25 seconds?
A 250 m
B 175 m
C 150 m
D 278 m
Problem #13
Obj 3 - TAKS th [A.C2(G)]

14. What are the slope and y-intercept of the equation of the line graphed below?
Problem #14
Obj 3 - TAKS th [A.C2(A)]

15. Which linear function includes the points (–3, 1) and (–2, 4)? A.B. C. D.
Problem #15
Obj 3 - TAKS th [A.C2(D)]

16. A math club decided to buy T-shirts for its members
A math club decided to buy T-shirts for its members. A clothing company quoted the prices, found in the chart at the right, for the T-shirts.
Which equation best describes the relationship between the total cost, c, and the number of T-shirts, s?
A. c = 6.75s
B. c = 7.00s
C. c = 2s – 20
D. c = s
Problem #16
Obj 3 - TAKS th [A.C1(C)]

17. On a certain day the exchange rate of Mexican pesos for U. S
On a certain day the exchange rate of Mexican pesos for U.S. dollars was approximately 10 pesos for 1 dollar. If an exchange of 4,000 pesos was made that day, what was the approximate value of the exchange in dollars?
A. $40
B. $400
C. $4,000
D. $40,000
Problem #17
Obj 3 - TAKS th [A.C2(G)]

18. In the distance formula d = rt, r represents the rate of change, or slope. Which ray on the graph best represents a slope of 55 mph?
A. W
B. X
C. Y
D. Z
Problem #18
Obj 3 - TAKS th [A.C2(A)]

19. The graph of a line that contains the points (–1, –5) and (4, 5) is shown below.
Problem #19
Obj 3 - TAKS th [A.C2(C)]

20. Which graph best represents this line if the slope is doubled and the y-intercept remains constant?
Problem #19
Obj 3 - TAKS th [A.C2(C)]

21. Which of the following describes the line containing the points (0, 4) and (3, –2)?
Problem #20
Obj 3 - TAKS th [A.C2(D)]

22. Which best describes the effect on the graph of
f(x) = 4x + 8 if the y-intercept is changed to –3?
A. The slope decreases.
B. The new line passes through the origin.
C. The x-intercept increases.
D. The y-intercept increases.
Problem #21
Obj 3 - TAKS th [A.C2(C)]

23. What is the y-intercept of the function f(x) = 3(x – 2)? A. 3 B. 1
D. –6
Problem #22
Obj 3 - TAKS th [A.C2(E)]

24. Which linear function best describes the graph shown to the right?
Problem #23
Obj 3 - TAKS th [A.C1(C)]

25. What is m, the slope of the line that contains the points (2, 0), (0, 3), and
(4, –3)? A. B. C. D.
Problem #24
Obj 3 - TAKS th [A.C2(A)]

26. What is the y-intercept of the function graphed to the right? A. –24
B. –21
C. –18
D. –9
Problem #25
Obj 3 - TAKS th [A.C2(E)]

27. A. For every 4 laps on the track, an athlete runs 1 mile.
The algebraic form of a linear function is , where d is the distance in miles and l is the number of laps. Which of the following choices identifies the same linear function?
A. For every 4 laps on the track, an athlete runs 1 mile.
B. For every lap on the track, an athlete runs mile. C D.
Problem #26
Obj 3 - TAKS th [A.C1(C)]

28. A. The new line is parallel to the original.
Given the function y = 3.54x – 54.68, which statement best describes the effect of increasing the y-intercept by 33.14?
A. The new line is parallel to the original.
B. The new line has a greater rate of change.
C. The x-intercept increases.
D. The y-intercept decreases.
Problem #27
Obj 3 - TAKS th [A.C2(C)]

29. What is the slope of the line identified by 2y = –3(x – 2)? A.C. D.
Problem #28
Obj 3 - TAKS th [A.C2(A)]

30. What are the slope and y-intercept of a line that contains the point
(5, –1) and has the same y-intercept as x – 3y = 6? A. B. C. D.
Problem #29
Obj 3 - TAKS th [A.C2(B)]

31. A small business purchased a van to handle its delivery orders.
The graph below shows the value of this van over a period of time.
Which of the following best describes this situation?
A. The van was purchased for $1,600.
B. The van decreases in value by $1,600 per year.
C. The van increases in value by $1,600 per year.
D. The van has no value after 5 years.
Problem #30
Obj 3 - TAKS th [A.C2(B)]

32. The graph of a linear function is shown on the coordinate grid below.
If the y-intercept is changed to (0, 5) and the slope becomes −4, which statement best describes the relationship between the two lines when they are graphed on the same coordinate grid?
F. The y-intercepts are 1 unit apart, and the lines are parallel.
G. The y-intercepts are 1 unit apart, and the lines intersect at (1, 1).
H. The y-intercepts are 1 unit apart, and the lines are perpendicular.
J. The y-intercepts are 1 unit apart, and the lines intersect at (1, 0).
Problem #31
Obj 3 - TAKS th [A.C2(C)]

33. The table below shows various values for x and y.
Which equation best describes the relationship between x and y?
A. y = −3x + 5
B. y = −5x – 7
C. y = −x + 17
D. y = 3x + 41
Problem #32
Obj 3 - TAKS th [A.C1(C)]

34. What is the slope of the line that contains the coordinate points (8, −3) and (−2, 7)?
A. − C.
B D.
Problem #33
Obj 3 - TAKS th [A.C2(A)]

35. Which of the following ordered pairs is the x-intercept or
the y-intercept of the function 2x − y = 8?
A. (8, 0)
B. (0, 4)
C. (4, 0)
D. (0, 8)
Problem #34
Obj 3 - TAKS th [A.C2(E)]

36. Which linear equation represents the line passing through
points R and S?
F. y = 1.5x − 4.5
G. y = 1.5x + 4.5
H. y = 0.5x − 4.5
J. y = 0.5x + 4.5
Problem #35
Obj 3 - TAKS th [A.C2(D)]

37. The graph shows the distance a certain motorbike can travel at a
constant speed with respect to time.
Which of the following best describes the meaning of the slope of the line
representing this situation?
F. The motorbike travels at a speed of about 8 miles per hour.
G. The motorbike travels at a speed of about 2.5 miles per hour.
H. The motorbike travels at a speed of about 5 miles per hour.
J. The motorbike travels at a speed of about 10 miles per hour.
Problem #36
Obj 3 - TAKS th [A.C2(B)]

38. What is the x-coordinate of the x-intercept of
the function y = −6x + 12?
F. 12
G. 18
H. −9
J. 2
Problem #37
Obj 3 - TAKS th [A.C2(E)]

39. Which line appears to have a slope of zero?
F. Line n
G. Line k
H. Line w
J. Line p
Problem #38
Obj 3 - TAKS th [A.C2(A)]

40. Which table best describes points on the line graphed below?
Problem #39
Obj 3 - TAKS th [A.C1(C)]

41. Problem #39
Obj 3 - TAKS th [A.C1(C)]

42. Which graph best represents the line that has a slope of −
and contains the point (4, −3)?
Problem #40
Obj 3 - TAKS th [A.C2(D)]

43. The graph of a linear function is shown below.
If the line is translated 2 units down, which equation will best describe
the new line?
F. y = 3x + 1
G. y = x + 1
H. y = 3x + 5
J. y = x + 5
Problem #41
Obj 3 - TAKS th [A.C2(C)]

44. If y is directly proportional to x and y = 12 when x = 16, what is the value of x when y = 5?
G. 3
H. 6 J.
Problem #42
Obj 3 - TAKS th [A.C2(G)]

45. Find the x- and y-intercepts of −4x + 7y = −28.
A. x-intercept: (−4, 0)
y-intercept: (0, 7)
B. x-intercept: (7, 0)
y-intercept: (0, −4)
C. x-intercept: (0, 7)
y-intercept: (−4, 0)
D. x-intercept: (0, −4)
y-intercept: (7, 0)
Problem #43
Obj 3 - TAKS th [A.C2(E)]

46. What is the rate of change of the function y = −7? F. 7 G. −7 H. 0
J. Undefined
Problem #44
Obj 3 - TAKS th [A.C2(A)]