Uploaded by Jesús Nahúm Camacho Ortiz

9MATH

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MATH
Final Exam
th
9 Grade ___
2018 - 2019
Exam (30%) ____
Daily Work (70%) ____
Average ____
Student signature:
Name___________________________________________________________
Date ___________________________________
Roll # _______ (___ /50)
Exam Score ______
I.
Circle the correct answer. (2 points each)
1. What is the slope of a ski run that rises 5 ft for every horizontal change of 20 ft?
a. 1/20
b. 1/5
c. 1/4
d. 20/5
2. What is the slope of the line that passes through the points E(5, 1) and F(2, -7)?
a. 8/3
b. 3/8
c. -3/8
d. -8/3
3. The cost of peanuts varies directly with the number of pounds bought. If 3 pounds of
peanuts cost $6.30, what is the cost of 4.5 pounds?
a. $7.35
b. $8.40
c. $9.45
d. $10.05
4. What are the slope and y-intercept for the graph of y - 3x = -1?
a. slope: 1
y-intercept: 3
b. slope: 3
y-intercept: -1
c. slope: -3
y-intercept: 1
d. slope: -1
y-intercept: -3
5. What are the x- and y-intercepts for the graph of 4x - 3y = -12?
a. x-intercept: -3
y-intercept: -4
b. x-intercept: 3
y-intercept: 4
c. x-intercept: 3
y-intercept: -4
d. x-intercept: -3
y-intercept: 4
6. What is the constant rate of change between the quantities in the table below?
Number of teams, x
9
12
15
20
Total players, y
99
132
165
220
a. 9 player per team
b. 10 players per
team
c. 11 players per
team
d. 12 players per
team
7. A ladder rises 20 ft for every horizontal change of 4 ft.What is the slope of the ladder?
a. ⅕
b. 4
c. 5
d. 20
8. Shanda knits 5 scarves in 2 hours. Assuming the number of scarves she knits varies directly
with time, how many scarves will she knit in 10 hours?
a. 2
b. 5
c. 10
d. 25
9. What is the solution of the system of equations below?
y + 2x = 2
y + 4x = 0
a. (1, -4)
b. (-1, -4)
c. (-1, 4)
d. (1, 4)
10. Which of the following equations is in point-slope form?
a. x - 8 = 7(y - 1)
b. 2x - 3y = 6
c. y = 6x - 2
d. y - 2 = 3(x -5)
c. 55
d. 65
11. What is the value of x in the triangle?
a. 25
b. 45
12. Coty painted a right triangle on paper. The hypotenuse of this triangle is 18 inches and
one of the legs is 7 in. What is the length of the third side?
a. 11 in
b. 14.2 in
c. 16.6 in
d. 19.3 in
13. Find mθE in ∆DEF if mθD = 34° and mθE = 117°.
a. 29°
b. 56°
c. 63°
d. 61°
14. Write an equation you could use to find the length of the missing side of the right triangle.
a. b2 = 222 - 72
b. b2 = 222 + 72
c. 222 = 72 - b2
d. 72 = 222 + b2
15. Find the value of sin 62°, cos 60° and tan 79°.
a. 0.8829, 0.5, 5.1445
b. 0.5, 0.8829, 5.1445
c. 5.1445, 0.5, 0.8829
d. 0.5, 0.5, 0.5
16. What is the solution to the system of equations shown?
a. (0, 3)
b. no solution
c. infinite
d. (0, 0)
17. A zoo has a total of 8 lions and tigers. The number of tigers is one less than twice the
number of lions. Write a system of equations that represents the number of lions and tigers?
a. L + T = 2
T=L-8
b. L - T = 8
T = 2L - 1
c. L + T = 8
T = 2L - 1
d. L + T = 8
T = 2L + 1
18. Solve the system of equations by substitution.
y=x-5
y = -x + 1
a. (3, -2)
b. (2, 3)
c. (3, 2)
d. (-2, 3)
19. Use the expression 16x to determine how many cups are in 7 gallons, where x represents
the number of gallons.
a. 80 cups
b. 96 cups
c. 112 cups
d. 128 cups
20. Use the expression 2 + 6x to determine the weight in pounds of 9 bags of trash, where x
represents the number of bags.
a. 52 pounds
b. 54 pounds
c. 56 pounds
d. 58 pounds
21. A system of linear equations can be solve by graphing, equality, substitution and
a. adding
b. quadratic
c. symmetry
d. elimination
22. What does x represent in this equation? 2x - x + 8= 10
a. 1
b. 2
c. 3
d. 4
23. In a linear system, you may have one solution, no solution and
a. infinite solution
b. null set
c. two solutions
d. zero
b. (a + 5)(a - 5)
c. (a - 5)(a - 5)
d. (a + 5)(a - 5)
24. Factorize a2 - 25.
a. (a + 5)(a + 5)
25. How is it called a pair of figures that have the same size and shape?
a. congruent
b. corresponding
c. images
d. similar
26. Which table represents the relation {(2, 5), (-7, -7), (-1, -2), (5, -1)}?
a.
b.
c.
d.
27. The graph of the cost per ride of the Rapid Rattle Coaster is shown below. According the
graph, how much does it cost per ride?
a. $4
b. $6
c.$8
d. $10
28. The amount by which the image grows or shrinks is called:
a. axis
b. center
c. scale factor
d. symmetry
29. If a < 0, then equation ax2 + bx + has a
a. constant value
b. maximum value
c. minimum value
d. positive value
30. A transformation in which a figure is made larger or smaller with respect to a fixed point is:
a. angle of rotation
b. center of rotation
c. dilation
d. similar figures
c. 11
d. 10
31. If f(x) = 3x + 5, find f(2).
a. 2f
b. 8
32. Which ordered pair is not a point on the graph of y = -5x + 2?
a. (-1, 6)
b. (0, 2)
c. (-2, 12)
d. (2, -8)
33. The graph at the right shows Lanna’s total distance in miles for each day she is training for
a marathon. What is her distance on day 10?
a. 21 miles
b. 27 miles
c. 30 miles
d. 33 miles
34. Which of the following represents a nonlinear function?
a. y = 4x2
b. y = x
c. y = -9x
d. y = 8x + 10
35. What is f(-3) if f(x) = 1/3x?
a. 3
b. 1
c. -1
d. -3
36. Graphs that represent situations that may not have numerical values are called?
a. linear
b. nonlinear
c. quadratic
d. qualitative
37. What is the domain of the relation {(-2, 4), (1, 3), (0, -4), (3, 2)}?
a. { 0, 1, 2, 4}
b. { -2, 0, 1, 3}
c. { -4, -2, 2, 3}
d. { -4, 2, 3, 4}
38. Which equation represents the graph below?
a. y = x2 + 3
b. y = -x2
c. y = -3x2
d. y = -x2 +3
39. A student ticket cost $5.75 each, and adult ticket cost $8.50 each. Which equation can
be used to find the total cost c of any number of adult tickets t?
a. c = 8.5t
b. t = 8.5c
c. c = 5.75t
d. t = 5.75c
40. The graph shows the amount of food Ian’s rabbits eat each week. Which equation can
be used to find the number of pounds y eaten after any number of weeks x?
a. y = 120x
II.
b. y = 60x
c. y = 30x
d. y = 15x
Answer the next problems correctly answering what is the value for x and y. 41-50
(2 points each)
Solve the next equations with the elimination method
41 and 42
3x + 4y = 52
5x + y = 30
43 and 44
-x – y = -4
2x + y = 2
45 and 46
6a + 6c = 4800
-6a – 4.5c =4500
Solve the next equations with the substitution method
47 and 48
2y−4x=2
y=−x+4
49 and 50
-x + y = 1
2x + y = -2
Answers
1. C
2. A
3. C
4. B
5. D
6. C
7. A
8. C
9. C
10. D
11. D
12. C
13. A
14. A
15. A
16. B
17. C
18. A
19. C
20. C
21. D
22. B
23. A
24. B
25. A
26. C
27. B
28. C
29. A
30. D
31. C
32. A
33. C
34. A
35. C
36. D
37. B
38. D
39. A
40. B
Answers
1. C
2. D
3. D
4. D
5. D
6. C
7. A
8. B
9. A
10. D
11. A
12. C
13. C
14. A
15. B
16. A
17. B
18. D
19. B
20. C
21. C
22. D
23. A
24. C
25. B
26. B
27. B
28. A
29. A
30. D
31. D
32. D
33. B
34. B
35. C
36. A
37. D
38. D
39. B
40. B
Exam topics:
Square roots and real numbers
Powers of 10
Like terms to solve equations and y intercept
Linear equations
Increase, decrease and frequency tables
Analyze and solve systems
Reflections and dilations
Angles, lines and transversals
Pythagorean Theorem
Coordinate plane and volumes
p. 25-51
p. 51-80
p. 81-145
p. 145-188
p. 189-250
p. 252-288
p. 303-344
p. 345-372
p. 387-400
p. 401-451
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