Florida Algebra I EOC
Online Practice Test
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Florida Algebra I EOC Online Practice Test 1, Lecture notes of Algebra
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Florida Algebra I EOC
Online Practice Test
Directions: This practice test contains 65 multiple-choice questions. Choose the best answer for each question. Detailed answer explanations appear at the end of the test.
2 FCAT 2.0 Algebra I
●^1 Sandi and Felipe are participating in a Walk for Life to raise money for charity. Sandi will raise $30, plus $2.50 for each mile she walks. Felipe will raise $20, plus $5 for each mile he walks. The total amount that each will raise can be calculated using the following expressions, where n stands for the number of miles walked:
Sandi: 30 + 2.5 n Felipe: 20 + 5 n
After how many miles will Sandi and Felipe have raised the same amount of money?
(A) 3. (B) 4 (C) 6. (D) 8
●^2 Akeem weighs 140 pounds(lbs) and hopes to add weight in order to play football in the fall. He hopes to gain between 0.5 and 1.0 pound (lb) per week over the next 10 weeks. Akeem will record his progress on the graph below. On the graph, the solid line represents a weight-gain rate of exactly 1.0 pound per week. The dotted line represents a weight-gain rate of exactly 0.5 pound per week.
150 149 148 147 146 145 144 143 142 141 140
Weight (in lbs.)
Week
Akeem’s Weight Gain Progress
0 1 2 3 4 5 6 7 8 9 10
A
B
C
If Akeem gains more than 1 pound per week, which region on the graph will contain all possible points that could represent Akeem’s weight-gain progress?
(F) region A (G) region B (H) region C (I) regions B and C combined
4 FCAT 2.0 Algebra I
●^8 In her catering business, Maria prepares and serves Italian food. The amount of lasagna is prepared according to the following table.
Number of Guests Pans of Lasagna 10 3 20 6 30 9 40 12
Based on the pattern in the table, how many pans of lasagna should be prepared for 250 guests?
●^9 Mrs. Sanchez writes the following table of^ x^ and^ y^ values on the chalkboard and asks the class to find an equation that fi ts the values in the table.
x y –2 – 0 – 2 2 4 6
Which of the following equations describes the relationship between x and y?
(A) y = 2 x – 2 (B) y = –2 x – 2 (C) y = 4 x + 2 (D) y = 4 x – 2
●^10 Lamar works in the quality control section of a toy company. The factory is pro- ducing 3,000 Steel Man action fi gures. Lamar randomly chose 120 of them and had them examined for defects. Of these 120 fi gures, eight of them had defects. If this ratio held true for all 3,000 fi gures, how many additional fi gures of the re- maining 2,880 figures would have defects?
(F) 200 (G) 192 (H) 150 (I) 125
Online Practice Test 1 5
●^11 The height ( h ) of an object after^ t^ seconds is given by the equation^ h^ = –2 t
(^2) – 9 t + 56? In how many seconds will the object strike the ground?
●^12 A scale model of a rectangular plot of land is 13 inches long by 12 inches wide. If the actual length of this plot is 780 feet, what is its actual area, in square feet?
(F) 9, (G) 121, (H) 406, (I) 561,
●^13 Set A contains 20 elements, set B contains 15 elements, and set^ A^ ∩^ B contains 6 elements. How many elements are contained in the set A ∪ B?
●^14 In factoring the expression 12 x
(^2) y (^3) + 20 x (^3) y , which of the following is the greatest common factor?
(F) 8 x^3 y^3 (G) 8 x^2 y (H) 4 x^2 y (I) 4 xy
●^15 Given the equation^ A^ =^ B^ +^ C^
(^2) D , which of the following is the correct expression for D?
(A) A – B – C^2 (B) A + B + C^2
(C)
A B
C^2
(D)
C
A B
2
−
Online Practice Test 1 7
●^21 What is the solution for^ x^ in the inequality –3 x^ + 4 < 16?
(A) x < −
(B) x > –
(C) x < −
(D) x < –
●^22 What are the coordinates of the^ y -intercept of the line that is represented by the equation 6 x – 5 y = 30?
(F) (0, –6) (G) (0, –5) (H) (5, 0) (I) 6, 0)
●^23 What is the value of^ x^ in the equation 5(2 x^ – 3) + 2(7 x^ + 2) = 37?
(A) 2 (B) 3 (C) 4 (D) 5
●^24 A health club charges $150 per month for each member, plus an hourly rate of $ for the use of the club’s facilities. The function shown below can be used to deter- mine the cost in dollars per month for the use of this health club’s facilities.
f ( h ) = 150 + 5 h.
Janine used the club’s facilities in October, November, and December. If she paid $300 in October, $380 in November, and $330 in December, how many total hours did she spend at the club during these three months?
●^25 What is the slope of the line that contains the points (–2, –7) and (–6, 4)?
8 FCAT 2.0 Algebra I
●^26 A line is shown on the coordinate grid below.
8 7 6 5 4 3 2 1
–8 –7 –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 7 8
Which of the following represents an equation of the line?
(F) y = 3 x + 1 (G) y = 3 x – 1 (H) y = x + 3 (I) y = x – 3
●^27
can be expressed as x. What is the value of x?
●^28 A function is defined as follows:^ f ( x ) = – x
(^2) + 11 x – 5. If the domain is {0, 6, 8, 10 }, what is the highest range value?
(F) 10 (G) 25 (H) 35 (I) 40
10 FCAT 2.0 Algebra I
●^32 Nicky has a total of 89 coins in nickels, dimes, and quarters. He has 8 more dimes than nickels and two and one half times as many quarters as nickels. In dollars and cents, what is the total value of these coins?
●^33 What is the value of^ x^ in the following proportion?^ x − =^ x +
For #34, 35, George is training for a marathon. The following chart shows his time (in hours) and distance run (in miles) for each of four days.
Day Monday Tuesday Wednesday Thursday Time 1.5 2 3.5 0. Distance 12 15 26 5
●^34 On which day did George have the highest average speed? (F) Monday (G) Tuesday (H) Wednesday (I) Thursday
●^35 On Monday, George was not tired after completing his distance of 12 miles. If he had run an additional 3 miles at 9 miles per hour, which of the following equa- tions would be the BEST representation of his distance in miles (Y) and his time in hours (X)?
(A) Y = 8.06 X (B) Y = 8.18 X (C) Y = 8.25 X (D) Y = 8.33 X
Online Practice Test 1 11
●^36 Which of the following is the graph of^ y^ =^ x
(^2) + 6 x + 9?
(F) (H)
(G) (I)
●^37 Look at the following rectangle.
4 x + 5
2 x + 3
Which of the following represents the area?
(A) 12 x + 16 (B) 6 x + 8 (C) 8 x^2 + 15 (D) 8 x^2 + 22 x + 15
(2,–1)
(0,3)
(–2,–1)
y
x
(–1,4)
(–3,0)
(–5,4)
y
x
(–1,–1)
(–3,3)
(–5,–1)
y
x
(5,4)
(3,0)
(1,4)
y
x
Online Practice Test 1 13
●^42 Look at the following Venn diagram.
U
55
A B
There are 55 elements that do not belong to either set A or set B but do belong to the Universal set U. Set A contains 72 elements, set B contains 51 elements, and U contains 168 elements. How many elements are there in the set A ∩ B?
●^43 Danny wishes to solve the equation^ x
(^2) + 7 x + 10 = 4. Which of the following would be a correct step in solving this equation?
(A) ( x + 5)( x + 2) = 0 (B) ( x + 3)( x + 2) = 0 (C) ( x + 6)( x + 1) = 0 (D) ( x + 10)( x + 1) = 0
●^44 Which of the following is equivalent to^
m p − m p m p
9 16 6 12 3 4?
(F) m^3 p^4 – m^2 p^3 (G) m^6 p^12 – m^3 p^8 (H) mp (I) m^12 p^24
●^45 Charlene will write the expression^
− − −
− a b a b
13 7 5 10
2 as axby , where x and y are positive
integers. What is the sum of x and y?
14 FCAT 2.0 Algebra I
●^46 You are given the Universal set of all natural numbers up through 30. Suppose^ M is the set of all multiples of 5 and N includes all even numbers between 11 and 21. For which of the following sets does ALL its elements belong to neither M nor N?
(F) {15, 19, 21, 24, 26} (G) {6, 8, 11, 22, 27} (H) {10, 16, 20, 25, 30} (I) {2, 5, 14, 17, 29}
●^47 What is the slope of a line that is perpendicular to the line that contains the points (5, 4) and (–7, 9)?
●^48 Which of the following represents the graph of a line with an undefi ned slope?
(F)
L 1
y
x
(H)
L 3
y
x
(G)
L 2
y
x
(I) L
4
y
x
16 FCAT 2.0 Algebra I
●^53 Given the equation^ P^ =^ Q^ −
R
, which of the following is the correct expression for R?
(A) (4 P – 3 Q ) 2 (B) (4 P – 12 Q ) 2 (C) (3 PQ – 4)^2 (D) (12 PQ – 4)^2
●^54 What is the sum of (9 x
(^2) – 2 x + 3) and (–6 x (^2) + 8 x – 13), subtracted by (3 x (^2) + 10 x – 20)?
(F) –4 x + 10 (G) –4 x – 30 (H) 6 x^2 + 16 x – 30 (I) –6 x^2 – 4 x – 10
●^55 A Universal set^ U^ contains 20 elements. Sets^ M^ and^ N^ are subsets of^ U. Set^ M^ con- tains 8 elements, set N contains 5 elements, and set M ∩ N contains no elements. How many elements are in the Cartesian product (∼ M × N )?
●^56 Two hot dogs and^ five soft drinks cost $8.50. Five hot dogs and two soft drinks cost $14.95. In dollars and cents, what is the cost of three hot dogs and three soft drinks?
Online Practice Test 1 17
●^57 Which of the following represents the graph of^ y^ =^ Ax
(^2) + Bx + C , in which A < 0 and C > 0?
(A) (C)
(B) (D)
●^58 For the simplified form of (9 x
(^3) + x + 7) – 2 x (5 x (^2) + 11 x + 7), what is the sum of all the coefficients?
y
x
y
x
y
x
y
x
Online Practice Test 1 19
●^63 You are given the function {(–5, 8),(–3, 16), (–2, 7), ( x ,^ y )], which contains four distinct elements. The highest value of the range is 16 and the lowest value of the domain is – 5. If x and y are both integers, what is the maximum value of | x – y |?
●^64 Which of the following represents the graph of a line whose slope has an absolute value greater than 1?
(F)
L 1
y
x
(2,2)
(H)
L 3
y
x
(–1,1)
(G)
L (^2)
y
x
(–2,1) (1,1)
(I)
L 4
y
x
(–3,3)
●^65 Bobby is given the function^ f ( x ) = 2 x
(^2) – x – 13 and calculates the value of f (6). Diane is then tasked to substitute the value of f (6) for x in the function g ( x ) = x^2 – 100. What numerical value does Diane get?
STOP