East Baton Rouge Assessment CCSS Math High School ID: 204593
LA_EastBatonRouge CCSS Algebra I Practice Test
Directions: Read the question. Fill in the bubble next to the corresponding question number on your answer sheet.
Sample Question Sample Answer Sheet
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1. A B C D
2. A B C D
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4. A B C D
5. A B C D
1 Look at this graph.
What is the function of the graph on this coordinate plane?
A y = 2x − 4
B y = 4(x−1)
C y = 2(4)x − 4
D y = 2(x+1) − 4
2 The town of Bakersville has a population of 4800. The population is expected to grow annually by 2%. Which equation can be used to find p, the population in 5 years?
A p = 4800(0.02)5
B p = 4800(1.02)5
C p = 4800(5)1.02
D p = 4800(5)0.02
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3Which expression is equivalent to ?
A 3x5 + 5x3 − 2
B 3x5 − 9x3 + 2
C 3x5 + 7x3 − 2x + 2
D 3x6 + 7x3 − 2x2 − 2
4 Mr. Weston is buying chairs for a new restaurant.
● He needs at least 80 chairs. ● The most Mr. Weston can spend is $6,000. ● Chairs with arms (a) cost $78. ● Chairs without arms (w) cost $65. ● He wants to buy as many chairs with arms as he can.
Which system of inequalities models the situation?
A
B
C
D
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5 The area, A, of a square inscribed in a circle with radius r can be found using this formula.
Which formula can be used to find the radius of the circle when the area of the inscribed square is known?
A
B
C
D
6 What is the first step to solving this equation?
A square both sides
B add 4 to both sides
C divide both sides by 3
D square the radical term
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7Which graph represents the solution set of the inequality ?
A
B
C
D
8 Christina wants to use the quadratic formula to solve this equation.
Which equation shows how to use the quadratic formula to solve the equation?
A
B
C
D
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A
C
B
D
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10Two functions are defined by and . Alonzo wants to find the
positive solution to the equation using successive approximations. This table shows the
xvalues Alonzo used and the corresponding and values.
What is the best choice for the approximate solution to Alonzo’s equation?
A 2.5
B 2.8
C 2.9
D 3
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11 Look at this system of inequalities.
Which graph represents the solution of the system?
A C
B D
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12 The height, in feet, of an object, t seconds after being dropped from the roof of a building, is modeled
by the function . The functions shown below use the same units. Which function models an object dropped from a higher original position?
A
B
C
D
13 Look at this expression.
Which expression is equivalent?
A a2 − b2 + 1
B (a − 1)2 − b2
C a2 − (b − 1)2
D (a − b)2 − 2(a − b) + 1
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14 Look at this function.
What are the zeros of the function?
A
B
C
D
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15 Look at this system of equations.
Which system has the same solution?
A
B
C
D
16 The ordered pair (a, b) is the solution of this system of equations.
What is the value of a?
A 3 B 4 C 6 D 10
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17 Look at this function.
Which of these functions is equivalent to f(x) and is the most useful in identifying the minimum value of f(x)?
A
B
C
D
18 This table defines a relation.
Which statement explains whether the relation is also a function?
A The relation is not a function because it cannot be defined by a simple equation.
B The relation is a function because the elements of both the domain and the range are real numbers.
C The relation is a function because each element of the domain is mapped to one element of the range.
D The relation is not a function because two different elements of the range are mapped to the same element of the domain.
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19Look at function .
What is the value of ?
A 36
B 18
C 18
D 30
20 A student repays a loan by paying 200 dollars in the first month and another 50 dollars each month after that. Which option represents the function, f(n), that could be used to find the total amount repaid after n months?
A
B
C
D
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21 Which function describes the sequence 1, 4, 7, 10, 13, . . .?
A
B
C
D
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22 A piecewise function is shown on this xycoordinate plane.
Which statement about the function is true?
A The function is increasing on the interval .
B The function is symmetric about the yaxis.
C The function is decreasing on the interval .
D The function has an average rate of change of .
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23 Jack is buying a subscription to a magazine club. This function describes the cost of the yearly subscription, c(m), in terms of the number of magazines, m, he orders.
What is the appropriate domain for the function?
A The domain is all real numbers.
B The domain is the set of integers.
C The domain is the set of whole numbers.
D The domain is the set of rational numbers.
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24 This graph represents a relation between x and y.
What is the domain of the relation?
A 1 ≤ x ≤ 5
B –4 < x ≤ 3
C –5 ≤ x ≤ 3
D –9 < x ≤ 5
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25This table contains ordered pairs for a function .
What is the average rate of change of the function from to ?
A
B
C
D
26 A car leaving a stop sign accelerates constantly from a speed of 0 feet per second to reach a speed of 44 feet per second. The distance of the car from the stop sign, d, in feet, at time t, in seconds, can be found using this equation.
What is the average speed of the car, in feet per second, between and ?
A 5.5
B 6.6
C 7.7
D 8.5
511
139
149
1611
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27 A shop diagnoses and repairs computers. They charge a flat fee of $40 per computer and an additional fee of $25 per hour. During one day, the shop fixes 3 computers in n hours. Which function represents f(n), the amount in dollars the shop will charge?
A
B
C
D
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28Which graph represents the function ?
A
C
B
D
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A
B
C
D
30 Two functions, f(x) and g(x), are shown.
Which statement is correct?
A The functions f(x) and g(x) have constant rates of change.
B The function g(x) includes the maximum value of the function f(x).
C The function f(x) has a larger maximum value than the function g(x).
D The yintercept for the function f(x) is larger than the yintercept for the function g(x).
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A
B
C
D
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32 The functions f(x), g(x), and h(x) are defined, as shown in this table.
As the value of x continues to increase, which inequality expresses the relationship among the functions?
A f(x) < g(x) < h(x)
B g(x) < f(x) < h(x)
C g(x) < h(x) < f(x)
D h(x) < f(x) < g(x)
33 Diane owns a company that makes shoes. This table shows the numbers of pairs of shoes manufactured and the total sales for last fall.
Which quantity would best model the company’s production rate last fall?
A total sales per month
B average cost of shoes sold for each month
C average number of pairs of shoes sold per week.
D number of pairs of shoes manufactured per month
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A
B
C
D
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35 The line graphed on the coordinate grid shows the relationship between the number of cups of lemonade sold at a lemonade stand and the profit in dollars.
What does the yintercept of the line represent?
A the initial costs for the stand and supplies
B the price for each cup of lemonade
C the value of one batch of lemonade
D the number of cups that must be sold to earn a profit
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36 Julian assembles toys at a factory. When he started working yesterday, there were already some toys assembled. At the end of the day, he had assembled 152 toys. This equation models the situation, where y is the number of assembled toys and x is the number of hours Julian worked.
How many toys did Julian assemble per hour?
A 4
B 38
C 44
D 152
37
A
B
C
D
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A Step 2
B Step 4
C Step 5
D Step 6
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A
B
C
D
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40 Jamal throws a bean bag into the air. This graph shows the height of the bean bag, h, in feet after t seconds.
What is the meaning of the tintercept?
A The bean bag is released when t = 0.
B The bean bag is thrown from a height of 5 feet.
C The bean bag hits the ground after 1.7 seconds.
D The bean bag has a speed of 1.7 feet per second when it lands.
41
A 2.2
B 4.6
C 6.6
D 7.7
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A
B
C
D
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A
B
C
D
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A
B
C
D
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A
B
C
D
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A
B
C
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D
47 Hozumi recorded the daily high temperatures for an 18day period in the table shown.
Which histogram best represents the set of data in the table?
A
B
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C
D
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A
B
C
D
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A
B
C
D
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Part A
Part B
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Part C
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