Download BCPS Intensified Algebra Final Exam 2013/2014

BCPS Intensified Algebra Final Exam 2013/2014
1. At the amusement park, Janine bought a bottle of water for $2. She also bought
game tickets for $0.50 each. Janine spent a total of $15.
Which of the following equations can be used to find the number of game tickets, g,
Janine bought?
A. 2g − 0.50 = 15
B. 2g + 0.50 = 15
C. 0.50g − 2 = 15
D. 0.50g + 2 = 15
2. Maureen has a paper clip chain. All the paper clips are the same size. The length,
in centimeters, of the chain made with p paper clips is shown in the graph.
How many paper clips are in a chain with a length of 4 centimeters?
A. 8
B. 2
C. 4
D. 6
3. George is working on his math homework. He needs to solve the equation 3(6 + x)
− 4 = 26. Examine George's work.
3(6 + x) − 4 = 26 line 1
18 + x − 4 = 26 line 2
x + 14 = 26 line 3
x = 12 line 4
Which of the following best describes George's solution to the equation?
A. George incorrectly applied the Associative Property in going from line 1 to line 2.
B. George incorrectly applied the Identity Property in going from line 2 to line 3.
C. There are no mistakes in the solution method. The answer is correct.
D. George incorrectly applied the Distributive Property in going from line 1 to line 2.
4. The following equation is used to find c, the total cost for printing a quantity of
high school yearbooks, b.
A.
B.
C.
D.
5. The student council members are making corsages to sell at prom. They spent
$350 on materials such as flowers, ribbons, elastic, and pins. They are selling the
corsages for $7.50 each. They need to earn at least $700 to pay for prom decorations.
Which inequality will determine the minimum number of corsages, c, the student
council members need to sell to pay for the prom decorations?
A. 7.5c − 350 ≥ 700
B. 350 − 7.5c ≥ 700
C. 7.5c − 700 ≥ 350
D. 700 − 7.5c ≥ 350
6. What is a solution to the inequality −3x − 12 > 9?
A. x > −7
B. x < 7
C. x < −7
D. x > 7
7. The box office took in a total of $2905 in paid admissions for the high-school
musical. Adult tickets cost $8 each, and student tickets cost $3 each. If 560 people
attended the show, how many were students?
Let s = the number of students attending, and let a = the number of adults attending.
Which two equations can be used to solve this problem? Select the two that apply.
I. a = s − 560
II. a + s = 2905
III. 8a + 3s = 2905
IV. 3a + 8s = 2905
V. a + s = 560
A. I and III
B. II and IV
C. III and V
D. IV and V
8. Use the table provided to solve the system of equations.
y=x−5
y=−3x+7
−3 −2 −1 0 1 2 3
x
y = x − 5 −8 −7 −6 −5 −4 −3 −2
y = −3x + 7 16 13 10 7 4 1 −2
A. (3,-2)
B. (-5,7)
C. (0,-5)
D. (-2,-2)
9.
Mark wants to open a snow cone booth in
the neighborhood over the summer. He
decides to sell the snow cones for $1.50
each. The initial supplies will cost $250 and
each snow cone will cost him $0.25. Based
on the graph of his costs and earnings, how
many snow cones will Mark need to sell
before he begins to make a profit?
A. 300 snow cones
B. 250 snow cones
C. 200 snow cones
D. 350 snow cones
10. Which of the following is a possible first step in solving this system by
substitution?
x=y+3
2x+4y=8
A. 2x+4(y+3)=8
B. 2x+4y=y+3
C. 2(y+3)+4y=8
D. (y+3)+4y=8
11. Roger wants to solve the following system of equations by the linear combination
method.
2x+15y=4
4x+5y=−16
He needs to multiply one of the equations by some value so that when the equations
are added together a variable is eliminated. Which of the following steps would not
result in a variable being eliminated?
A. Multiply the first equation by 4.
.
C. Multiply the second equation by −3.
B. Multiply the second equation by −1/2
D. Multiply the first equation by −2.
12. Martin has $55 and he is earning $130 per week at his summer job. Juan has $110
dollars and he is earning $130 per week at his summer job. The following system of
equations represents this situation, where each boy's total money, m, is written as a
function of weeks worked, w.
m=130w+55
m=130w+110
Which is a true statement about the system of equations?
A. The system has infinitely many solutions.
B. The system has one solution, which represents their hourly rate.
C. The system has no solutions.
D. The system has one solution, which represents the number of weeks in which they
have earned the same amount of money.
13.
The length of a rectangle is 6a4b2 and the
width is 2a5b3. Which expression best
represents the rectangle's area?
A. 8a9b5
B. 3ab
C. 12a20b6
D. 12a9b5
14. Bianca starts with $20 in her bank account. She decides to spend one-half of the
money in her account each day. There is a functional relationship between the day,
x , and the amount of money she has left in her bank account at the end of a given
day. Which of the following does not represent this situation?
A. At the end of the 4th day, Bianca will have $2 left.
B.
C.
D.
15. What type of function—linear, quadratic, exponential, or none of these 3 types of
functions—is shown in the table?
A. Linear
B. Quadratic
C. Exponential
D. None of the Three
16. What type of function—linear, quadratic, exponential, or none of these 3 types of
functions—is shown in the table?
A. Linear
B. Quadratic
C. Exponential
D. None of the Three
17. What type of function—linear, quadratic, exponential, or none of these 3 types of
functions—is shown in the table?
A. Linear
B. Quadratic
C. Exponential
D. None of the Three
18. What type of function—linear, quadratic, exponential, or none of these 3 types of
functions—is shown in the table?
A. Linear
B. Quadratic
C. None of the Three
D. Exponential
19. Which of the following functions matches the graph?
A.
B.
C.
D.
20. Derrick started a colony of fruit flies for biology. He started with 10 flies and the
population is increasing at a rate of 34% each day. Derrick wants to be able to predict
the total population of fruit flies, y, on any given day, x. Which function rule models
the population of his fruit fly colony?
A.
B.
C.
D.
21.
Consider the steps shown. These steps
create a pattern of shaded and unshaded
tiles that can be described using a function.
Which function rule relates the number of
unshaded tiles, u, to the number of total
tiles, t?
A.
B.
C.
D.
22.
The graph shows a parabola of the
form y = ax2 + c where a and c are
non-zero constants. Which of the
following statements is true?
A. a and c are both positive.
B. a is positive and c is negative.
C. a and c are both negative.
D. a is negative and c is positive.
23. Match the function rule with the corresponding graph.
A.
B.
C.
D.
24. Match the function rule with the corresponding graph.
A.
B.
C.
D.
25. Match the function rule with the corresponding graph.
A.
B.
C.
D.
26. Match the function rule with the corresponding graph.
A.
B.
C.
D.
27. Which expression shows the correct way to use the quadratic formula to find the
solutions to the equation 2x2 + 3x − 5 = 0?
A.
B.
C.
D.
28.
This area model shows a pictorial way to
find the product of (x + 5) and (x + 4).
Which of the following is the product (x +
5)(x + 4)?
A.
B.
C.
D.
29. Simplify:
(3x2 – 5x + 7) + ( x2 – 2x + 3)
A. 2x2 + 7x + 10
B. 4x2 -7x + 10
C. 2x2 -3x + 4
D. 2x2 – 7x + 4
30. Simplify:
(3x2 – 5x + 7) - ( x2 – 2x + 3)
A. 2x2 + 7x + 10
B. 4x2 -7x + 10
C. 2x2 -3x + 4
D. 2x2 – 7x + 4
31. Which of the following are factors of x2 -3x – 40?
A. (x - 5)(x + 8)
B. (x + 10)(x – 4)
C. (x – 8)(x + 5)
D. (x + 2)(x – 20)
32. The graph of f(x) = x2 + x – 6 intersects the x- axis at what points?
A. (0.-6) and (0,6) B. (-2,0) and (3,0) C. (-3,0) and (2,0) D. (-2,0) and (2,0)