Standard 2 Test Review
Standard 2 Test Review 1. Given the function f(x) = x3 - 3(x + 7), find f(3). A. 15 B. -3 C. -21 D. 39
2. Which of the following tables corresponds to the equation below?
A.
B.
C.
D.
x
0
6
12
y
-6
-4
-2
x
0
6
12
y
-6
-3
0
x
0
6
12
y
6
8
10
x
0
6
12
y
6
9
12
3. Which inequality is graphed on the coordinate plane? A. y > -2x - 2 B. y > -2x - 2 C. y < -2x - 2 D. y < -2x - 2
4. If the range of the function
is {-1, 2, 4}, then what is the corresponding domain? A. {-9, 3, 11} B. {-8, 4, 12} C. {7, -5, -13} D. {-5, 7, 15}
5. Use elimination to find the solution to the system of equations.
A. B.
C. D.
6. Which of the statements is true about the two equations below? 1) y = -8x - 5 2) y = 1/8x - 2 A. The lines are perpendicular. B. The lines intersect but are not perpendicular. C. The equations represent the same line. D. The lines are parallel.
7. Mrs. Stevenson needs at least 41 cans of soda for a party. She has 4 cans of soda at her house. Which of the following inequalities can be used to find p, the number of 12-pack cans of soda Mrs. Stevenson needs to buy? A. 12p + 4 < 41 B. 12 + 4p > 41 C. 12p + 4 > 41 D. 12 + 4p < 41
8. y = -12x4 + 1 Is the equation above linear, nonlinear, both linear and nonlinear, or neither linear nor nonlinear? A. linear B. both linear and nonlinear C. nonlinear D. neither linear nor nonlinear
9. Use elimination to find the solution to the system of equations.
A. B. C. D.
10. Do the ordered pairs below represent a relation, a function, both a relation and a function, or neither a relation nor a function? (-2,-2) , (1,-5) , (6,-10) , (10,-14) A. neither a relation nor a function B. relation only C. both a relation and a function D. function only
11. Given the equations f(x) = 11x - 1 and g(x) = 3x - 1, what is the difference between the graphs of f(x) and g(x)? A. The graph of g(x) is 11 units higher than the graph of f(x). B. The graph of f(x) is steeper than the graph of g(x). C. The graph of f(x) is flatter than the graph of g(x). D. The graph of g(x) is 8 units lower than the graph of f(x).
12. A line has a y-intercept of A. B. C. D.
and a slope of . Find the equation of the line.
13. Solve for x.
A. B. C. D.
14. Solve for t.
A. B. C. D.
15. x
y
0
1
7
3
14
5
Which of the following linear equations corresponds to the table above? A. B.
C. D.
16. Which of the following represents a relation and not a function? -6 -2 4 10 A. y 30 28 36 30 x
-6 7 11 10 B. y 30 28 36 30 x
10 C. y 30 28 36 30 x
7 -6 11
-6 4 10 10 D. y 30 28 36 30 x
17. What is the slope of the line given by the following equation? y = -3x + 7 A. -3 B. -21 C. 7 D. 4
18. Given the function f(x) = x2 + 4x - 9, find f(m - 1). A. m2 + 4m - 12 B. m2 + 2m - 12 C. m2 + 2m - 13 D. 3m - 12
19. Do the ordered pairs below represent a relation, a function, both a relation and a function, or neither a relation nor a function? (-2,-8) , (2,-16) , (-2,-22) , (10,-32) A. neither a relation nor a function B. both a relation and a function C. function only D. relation only
20.
What is the slope of the line given by the linear equation above? A. B. C. D.
21. Determine the slope of the line that passes through the points (-5, -3) and (2, 1). A. B. C. D.
22. Solve the following equation for x. 4x - 2 = 22 A. 10
B. 6 C. 5 D. 8
23.
Determine the slope of the line above. A. B. C. D.
24. Which value for x makes the sentence true? 7x + 45 = -2x A. 7 B. -5 C. -3
D. 5
25. Helen went to the grocery store to buy potatoes. The store charges $1.17 for each pound of potatoes. On the way out of the store, Helen picked up a gallon of ice cream at a cost of $4.61. If Helen spent $18.65 at the store, how many pounds of potatoes did she purchase? Assume tax is included in the given price. A. 5 B. 14 C. 12 D. 11
26. Given the equations f(x) = -6x - 3 and g(x) = -6x - 8, what is the difference between the graphs of f(x) and g(x)? A. The graph of g(x) is 5 units lower than the graph of f(x). B. The graph of f(x) is steeper than the graph of g(x). C. The graph of f(x) is flatter than the graph of g(x). D. The graph of g(x) is 5 units higher than the graph of f(x).
27. Which of the statements is true about the two equations below? 1) y = 8x + 4 2) y = 8x - 6 A. The lines intersect but are not perpendicular. B. The equations represent the same line. C. The lines are parallel. D. The lines are perpendicular.
28. X
Y
1
5
2
7
3
9
4
11
5
13
The table above represents what type of function? A. linear and nonlinear B. neither linear nor nonlinear C. nonlinear D. linear
29. Kaylee is unpacking boxes of magazines at a bookstore. To track her progress, she records the number of boxes she has left to unpack (y) and the number of hours she has spent unpacking (x). Hours Unpacking (x) Boxes Left (y) 1 59 2 55 3 51 4 47
If Kaylee started with 63 boxes and continues to unpack the boxes at the same rate, how many more hours will it take her to reach her goal of 35 boxes left to unpack? A. 4 B. 2 C. 5 D. 3
30.
A. B. C. D.
31. Solve for y in the two equations below using substitution.
A. B. C. D.
32. Use elimination to find the solution to the system of equations.
A. B. C. D.
33. Given the function f(x) = 3x2 - 7, find f(h + 2). A. 3h2 + 5 B. 3h2 + 12h + 5 C. 3h - 1 D. 5
34. (-5,5) (-2,-1) (2,-9) (8,-21) What is the range of the set of ordered pairs above? A. {-5, 5, 8, -21} B. {5, -21} C. {5, -1, -9, -21} D. {-5, -2, 2, 8}
35. Which of the following relations is a function? A. B. C. D.
(1, 4), (-3, 6), (1, 3), (-6, 2) (1, 0), (-3, 3), (5, 1), (-3, 5) (1, 4), (-3, 2), (5, 1), (-6, 2) (5, 1), (-3, 4), (1, 1), (5, 2)
36. A line has a y-intercept of A. B. C.
and a slope of
. Find the equation of the line.
D.
37. The function f(x) is linear. What is the value of f(3)? x
f(x)
0
-2
1
-4
2
-6
A. -6 B. -10 C. -8 D. -5
38. In which direction must the graph of f(x) = |x| be shifted to produce the graph of g(x) = |x + 3|? A. left B. down C. right D. up
39. Isabel is going to the mall to spend $139 that she received for her birthday. She wants to buy a pair of shoes that costs $27. She also wants to buy the same number of shirts as pairs of pants. If each shirt costs $12 and each pair of pants costs $25, which of the following inequalities can be used to find n, the number of shirts Isabel can buy? A. $37n + $27 < $139 B. $37n + $27n < $139 C. $12n + $25 + $27n < $139 D. $12n + $25 + $27 < $139
40. Given the function f(x) = -|3x - 11| + 2, find f(5). A. -24
B. 28 C. -2 D. 6
41. In which direction must the graph of f(x) = |x| be shifted to produce the graph of g(x) = |x| - 3? A. left B. right C. up D. down
42. Mick graphed two lines, y = x + 8 and y = x - 5. Which of the following graphs represents the lines Mick graphed?
W.
X.
Y.
Z.
A. X B. W C. Y D. Z
43. If the domain of the function 4x2 - 2y = 6 is {-5, 2, 6}, then what is the corresponding range? A. {50, 8, 72} B. {53, 11, 75} C. {22, 1, 33} D. {47, 5, 69}
44. Solve for x in the two equations below using substitution.
A. B. C.
D.
45. Which of the following graphs contains the points (-1,-3) and (1,1)?
A. X B. W C. Y D. Z
W.
X.
Y.
Z.
46. (-5,20) (0,-5) (4,11) (9,76) What is the domain of the set of ordered pairs above? A. {20, -5, 11, 76} B. {-5, 20} C. {-5, 0, 4, 9} D. {9, 76}
47. X
Y
1
11
2
20
3
35
4
56
5
83
The table above represents what type of function? A. linear and nonlinear B. nonlinear C. neither linear nor nonlinear D. linear
48. Which number line represents the solution to the inequality below?
A. -1
0
1
2
3
4
5
6
7
8
9
10
11
B. 0
1
2
3
4
5
6
7
8
9
10
11
12
-1
0
1
2
3
4
5
6
7
8
9
10
11
-2
-1
0
1
2
3
4
5
6
7
8
9
10
C. D.
Answers 1. B 2. C 3. B 4. B 5. A 6. A 7. C 8. C 9. C 10. C 11. B 12. A 13. C 14. D 15. A 16. D 17. A 18. B 19. D 20. A 21. D 22. B 23. A 24. B 25. C 26. A 27. C 28. D 29. D 30. B 31. A 32. C 33. B
34. C 35. C 36. B 37. C 38. A 39. A 40. C 41. D 42. B 43. D 44. A 45. B 46. C 47. B 48. A 49. B
2. Which of the following tables corresponds to the equation below?
A.
B.
C.
D.
x
0
6
12
y
-6
-4
-2
x
0
6
12
y
-6
-3
0
x
0
6
12
y
6
8
10
x
0
6
12
y
6
9
12
3. Which inequality is graphed on the coordinate plane? A. y > -2x - 2 B. y > -2x - 2 C. y < -2x - 2 D. y < -2x - 2
4. If the range of the function
is {-1, 2, 4}, then what is the corresponding domain? A. {-9, 3, 11} B. {-8, 4, 12} C. {7, -5, -13} D. {-5, 7, 15}
5. Use elimination to find the solution to the system of equations.
A. B.
C. D.
6. Which of the statements is true about the two equations below? 1) y = -8x - 5 2) y = 1/8x - 2 A. The lines are perpendicular. B. The lines intersect but are not perpendicular. C. The equations represent the same line. D. The lines are parallel.
7. Mrs. Stevenson needs at least 41 cans of soda for a party. She has 4 cans of soda at her house. Which of the following inequalities can be used to find p, the number of 12-pack cans of soda Mrs. Stevenson needs to buy? A. 12p + 4 < 41 B. 12 + 4p > 41 C. 12p + 4 > 41 D. 12 + 4p < 41
8. y = -12x4 + 1 Is the equation above linear, nonlinear, both linear and nonlinear, or neither linear nor nonlinear? A. linear B. both linear and nonlinear C. nonlinear D. neither linear nor nonlinear
9. Use elimination to find the solution to the system of equations.
A. B. C. D.
10. Do the ordered pairs below represent a relation, a function, both a relation and a function, or neither a relation nor a function? (-2,-2) , (1,-5) , (6,-10) , (10,-14) A. neither a relation nor a function B. relation only C. both a relation and a function D. function only
11. Given the equations f(x) = 11x - 1 and g(x) = 3x - 1, what is the difference between the graphs of f(x) and g(x)? A. The graph of g(x) is 11 units higher than the graph of f(x). B. The graph of f(x) is steeper than the graph of g(x). C. The graph of f(x) is flatter than the graph of g(x). D. The graph of g(x) is 8 units lower than the graph of f(x).
12. A line has a y-intercept of A. B. C. D.
and a slope of . Find the equation of the line.
13. Solve for x.
A. B. C. D.
14. Solve for t.
A. B. C. D.
15. x
y
0
1
7
3
14
5
Which of the following linear equations corresponds to the table above? A. B.
C. D.
16. Which of the following represents a relation and not a function? -6 -2 4 10 A. y 30 28 36 30 x
-6 7 11 10 B. y 30 28 36 30 x
10 C. y 30 28 36 30 x
7 -6 11
-6 4 10 10 D. y 30 28 36 30 x
17. What is the slope of the line given by the following equation? y = -3x + 7 A. -3 B. -21 C. 7 D. 4
18. Given the function f(x) = x2 + 4x - 9, find f(m - 1). A. m2 + 4m - 12 B. m2 + 2m - 12 C. m2 + 2m - 13 D. 3m - 12
19. Do the ordered pairs below represent a relation, a function, both a relation and a function, or neither a relation nor a function? (-2,-8) , (2,-16) , (-2,-22) , (10,-32) A. neither a relation nor a function B. both a relation and a function C. function only D. relation only
20.
What is the slope of the line given by the linear equation above? A. B. C. D.
21. Determine the slope of the line that passes through the points (-5, -3) and (2, 1). A. B. C. D.
22. Solve the following equation for x. 4x - 2 = 22 A. 10
B. 6 C. 5 D. 8
23.
Determine the slope of the line above. A. B. C. D.
24. Which value for x makes the sentence true? 7x + 45 = -2x A. 7 B. -5 C. -3
D. 5
25. Helen went to the grocery store to buy potatoes. The store charges $1.17 for each pound of potatoes. On the way out of the store, Helen picked up a gallon of ice cream at a cost of $4.61. If Helen spent $18.65 at the store, how many pounds of potatoes did she purchase? Assume tax is included in the given price. A. 5 B. 14 C. 12 D. 11
26. Given the equations f(x) = -6x - 3 and g(x) = -6x - 8, what is the difference between the graphs of f(x) and g(x)? A. The graph of g(x) is 5 units lower than the graph of f(x). B. The graph of f(x) is steeper than the graph of g(x). C. The graph of f(x) is flatter than the graph of g(x). D. The graph of g(x) is 5 units higher than the graph of f(x).
27. Which of the statements is true about the two equations below? 1) y = 8x + 4 2) y = 8x - 6 A. The lines intersect but are not perpendicular. B. The equations represent the same line. C. The lines are parallel. D. The lines are perpendicular.
28. X
Y
1
5
2
7
3
9
4
11
5
13
The table above represents what type of function? A. linear and nonlinear B. neither linear nor nonlinear C. nonlinear D. linear
29. Kaylee is unpacking boxes of magazines at a bookstore. To track her progress, she records the number of boxes she has left to unpack (y) and the number of hours she has spent unpacking (x). Hours Unpacking (x) Boxes Left (y) 1 59 2 55 3 51 4 47
If Kaylee started with 63 boxes and continues to unpack the boxes at the same rate, how many more hours will it take her to reach her goal of 35 boxes left to unpack? A. 4 B. 2 C. 5 D. 3
30.
A. B. C. D.
31. Solve for y in the two equations below using substitution.
A. B. C. D.
32. Use elimination to find the solution to the system of equations.
A. B. C. D.
33. Given the function f(x) = 3x2 - 7, find f(h + 2). A. 3h2 + 5 B. 3h2 + 12h + 5 C. 3h - 1 D. 5
34. (-5,5) (-2,-1) (2,-9) (8,-21) What is the range of the set of ordered pairs above? A. {-5, 5, 8, -21} B. {5, -21} C. {5, -1, -9, -21} D. {-5, -2, 2, 8}
35. Which of the following relations is a function? A. B. C. D.
(1, 4), (-3, 6), (1, 3), (-6, 2) (1, 0), (-3, 3), (5, 1), (-3, 5) (1, 4), (-3, 2), (5, 1), (-6, 2) (5, 1), (-3, 4), (1, 1), (5, 2)
36. A line has a y-intercept of A. B. C.
and a slope of
. Find the equation of the line.
D.
37. The function f(x) is linear. What is the value of f(3)? x
f(x)
0
-2
1
-4
2
-6
A. -6 B. -10 C. -8 D. -5
38. In which direction must the graph of f(x) = |x| be shifted to produce the graph of g(x) = |x + 3|? A. left B. down C. right D. up
39. Isabel is going to the mall to spend $139 that she received for her birthday. She wants to buy a pair of shoes that costs $27. She also wants to buy the same number of shirts as pairs of pants. If each shirt costs $12 and each pair of pants costs $25, which of the following inequalities can be used to find n, the number of shirts Isabel can buy? A. $37n + $27 < $139 B. $37n + $27n < $139 C. $12n + $25 + $27n < $139 D. $12n + $25 + $27 < $139
40. Given the function f(x) = -|3x - 11| + 2, find f(5). A. -24
B. 28 C. -2 D. 6
41. In which direction must the graph of f(x) = |x| be shifted to produce the graph of g(x) = |x| - 3? A. left B. right C. up D. down
42. Mick graphed two lines, y = x + 8 and y = x - 5. Which of the following graphs represents the lines Mick graphed?
W.
X.
Y.
Z.
A. X B. W C. Y D. Z
43. If the domain of the function 4x2 - 2y = 6 is {-5, 2, 6}, then what is the corresponding range? A. {50, 8, 72} B. {53, 11, 75} C. {22, 1, 33} D. {47, 5, 69}
44. Solve for x in the two equations below using substitution.
A. B. C.
D.
45. Which of the following graphs contains the points (-1,-3) and (1,1)?
A. X B. W C. Y D. Z
W.
X.
Y.
Z.
46. (-5,20) (0,-5) (4,11) (9,76) What is the domain of the set of ordered pairs above? A. {20, -5, 11, 76} B. {-5, 20} C. {-5, 0, 4, 9} D. {9, 76}
47. X
Y
1
11
2
20
3
35
4
56
5
83
The table above represents what type of function? A. linear and nonlinear B. nonlinear C. neither linear nor nonlinear D. linear
48. Which number line represents the solution to the inequality below?
A. -1
0
1
2
3
4
5
6
7
8
9
10
11
B. 0
1
2
3
4
5
6
7
8
9
10
11
12
-1
0
1
2
3
4
5
6
7
8
9
10
11
-2
-1
0
1
2
3
4
5
6
7
8
9
10
C. D.
Answers 1. B 2. C 3. B 4. B 5. A 6. A 7. C 8. C 9. C 10. C 11. B 12. A 13. C 14. D 15. A 16. D 17. A 18. B 19. D 20. A 21. D 22. B 23. A 24. B 25. C 26. A 27. C 28. D 29. D 30. B 31. A 32. C 33. B
34. C 35. C 36. B 37. C 38. A 39. A 40. C 41. D 42. B 43. D 44. A 45. B 46. C 47. B 48. A 49. B
