Algebra I EOC Practice #1 - Mentorship Academy



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Algebra I EOC Practice #1

HSF-IF.A.3 Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers.

1. Which function best represents the data shown in the table?

Shirt Cost

|Number of shirts, x |Total Cost, f(x) |

|1 |15 |

|2 |26 |

|3 |37 |

|4 |48 |

|5 |59 |

A. f(x) = 11x

B. f(x) = x + 11

C. f(x) = 11x + 4

D. f(x) = 4x + 11

2. Which function represents the data shown in this table?

|n |f(n) |

|1 |10 |

|2 |13 |

|3 |16 |

|4 |19 |

|5 |22 |

A. f(n) = x + 3

B. f(n) = 2x + 8

C. f(n) = 4x + 5

D. f(n) = 3x + 7

3. Write a function to represent the sequence listed below.

2, 7, 12, 17, 22, 27

A. f(x) = 3x + 1

B. f(x) = 2x + 4

C. f(x) = x + 5

D. f(x) = 7x – 2

4. A sequence is created from the function k(n) = 2n + 3, where n represents the position of the term of the sequence. The sequence does not begin at 0. Which list represents the first five terms of the sequence?

A. 3, 5, 7, 9, 11

B. 5, 7, 9, 11, 13

C. 5, 9, 13, 17, 21

D. 2, 3, 4, 5, 6

5. The table shows the cost of shipping t-shirts, c(t), based on the number of t-shirts ordered, t.

|Number of shirts |Total cost of shipping |

|ordered, t |t-shirts, c(t) |

|1 |$2.50 |

|2 |$2.80 |

|3 |$3.10 |

|4 |$3.40 |

|5 |$3.70 |

|6 |$4.00 |

|7 |$4.30 |

|8 |$4.60 |

The pattern in the table continues. Which value represents the cost of shipping 12 t-shirts?

A. $4.90

B. $5.20

C. $5.50

D. $5.80

Algebra I EOC Practice #2

A-CED-1 Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.

1. Trevor Benjamin is a salesperson who is paid a monthly salary of $500 plus 2% commission on sales. Write an equation that represents Trevor’s monthly salary.

A. S = 2x + 500

B. S = 500x + .02

C. S = .02x + 500

D. S = .05x + 2

For questions 2 and 3, use the following information.

Dollywood first opened in 1961 as a small tourist attraction named “Rebel Railroad.” After several name changes, Dolly Parton became co-owner in 1986 and the park was renamed “Dollywood.”

2. Let y represent the number of years after 1961 that the park was renamed Dollywood. Write an expression for the year the park was renamed.

A. 1961 - y

B. 1986 - y

C. 1961 + y

D. 1986 + y

3. Write an equation to represent the year the park was renamed.

A. 1961 + y = 1986

B. 1986 + y = 1961

C. y - 1961 = 1986

D. y – 1986 = 1961

4. Mrs. Doubtfire is planning to place a fence around her backyard. The fencing costs $1.95 per yard. She buys f yards of fencing and pays $3.50 in tax. If the total cost of the fencing is $81.50, write an equation to represent the situation.

A. 3.50f + 1.95 = 81.50

B. 1.95f + 3.50 = 81.50

C. 1.95 f - 3.50 = 81.50

D. 3.50f – 1.95 = 81.50

5. During a one-hour episode of Numb3rs, the entertainment portion lasted 15 minutes longer than 4 times the advertising portion. If a represents the time spent on advertising, write an equation to represent the situation.

A. 4a + 15 = 60

B. 4(a + 15) = 60

C. a(4a + 15) = 60

D. a + (4a + 15) = 60

6. Karen works for $6 an hour. A total of 25% of her salary is deducted for taxes and insurance. She is trying to save $450 for a new car stereo and speakers. Write an equation to represent how many hours Karen must work to take home $450 if she saves all of her earnings.

A. 6h – 0.25(6h) = 450

B. 6h – 0.25h = 450

C. 6(0.25h) = 450

D. 450 + 6h = 0.25(6h)

Algebra I EOC Practice #3

A-SSE-1 Interpret parts of an expression, such as terms, factors, and coefficients.

1. Simplify: 3(x – 2y) + 7(x + 3y) – 3y

A. 4x – 30y

B. 10x + 12y

C. –6x + 12y

D. 7x – 10y

2. Simplify: –4(2x – 3y) + 4x – 2(x + 6)

A. –6x

B. –6x + 24y

C. 12y – 12

D. –6x + 12y – 12

3. If x = –2, y = 5, and z = 3, evaluate the following expression.

x4 – 5y + 2(x – z)2

A. 50

B. –41

C. 41

D. 63

4. Simplify: 5x6(2x4 – x3 + 7x2 – 4x)

A. 10x10 – 5x9 + 35x8 – 20x7

B. 10x24 – 5x18 + 35x12 – 20x6

C. 7x24 – 4x18 + 12x12 + x6

D. 20x34

5. If x = –4 and y = 8, evaluate the following expression.

[pic]

A. 1544

B. –1500

C. –200

D. 1540

6. Identify the property used to simplify the following expression.

3(x – 7) = 3x – 21

A. Associative Property of Addition

B. Commutative Property of Addition

C. Distributive Property

D. Identity Property of Addition

7. What is the value of the expression when x = 6 and y = –4?

8xy2 – 5x2

A. –948

B. 588

C. 324

D. 36,864

8. David wants to buy a new bicycle that cost $295 before a 40% discount. He finds the cost after the discount, in dollars, by evaluating 295 – 295(0.40). His brother Michael finds the same cost by evaluating 295(1 – 0.40). What property can be used to justify that these two expressions represent the same cost after the discount?

A. associative property

B. commutative property

C. distributive property

D. subtraction property of equality

Algebra I EOC Practice #4

Translate between representations of functions that depict real-world situations.

1. Carrie bought 3 kinds of flowers. The costs are summarized in the table below.

Flower Cost

|Flower |Number |Cost |

| |Purchased | |

|Pansies |10 |$25 |

|Petunias |8 |$21 |

|Roses |7 |$19 |

Which equation correctly expresses

the relationship between the number

of flowers purchased (f) and the cost

(c)?

A. c = 2f + 5

B. c = 2.5f

C. c = f + 15

D. c = 3f – 3

2. Given the sequence 2, 8, 26, 80, …

Which function below correctly models the sequence, if x represents each number in the sequence?

A. f(x) = x + 6

B. f(x) = 2x + 4

C. f(x) = 4x – 6

D. f(x) = 3x + 2

3. The table below describes the number of inches in each foot. Which equation best models this relationship?

|Number of Feet (x) |1 |2 |3 |4 |

|Number of Inches f(x) |12 |24 |36 |48 |

A. f(x) = x + 12

B. f(x) = 3x – 12

C. f(x) = 12x

D. f(x) = 2x - 10

4. Joel sold lemonade at the summer league baseball tournament for 3 days. He purchased lemons, sugar, and cups each day for $200.00. He sold the lemonade for $1.50 per cup.

Which equation correctly models the profit Joel made each day?

Lemonade Profit

|Day |Number of |Profit (p) |

| |Cups Sold (s) | |

|Friday |300 |$250.00 |

|Saturday |350 |$325.00 |

|Sunday |400 |$400.00 |

A. p = s – $50

B. p = $1.50s - $200.00

C. p = s - $200.00

D. p = $200.00s - $1.50

5. Lorena works for a company that packages CDs from various artists to send to radio stations for promotional events. The table below summarizes the CDs sent to each station.

|Radio Station |Number of CDs Sent per|Total Sent to Each |

| |Event |Station |

|WKBX |12 |50 |

|WLHR |8 |30 |

|WPTC |9 |35 |

Which equation below correctly expresses the relationship between the number of CDs sent per event (x) and the total sent to each station, f(x)?

A. f(x) = 4x + 2

B. f(x) = 5x – 10

C. f(x) = 3x + 6

D. f(x) = x + 38

Algebra I EOC Practice #5

A-SSE-3 Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression

1. Ben works at a shoe store. The equation y = 15x + 60 represents his daily earnings, y, based on selling x pairs of shoes. What is represented by the slope in this equation?

E. The total pairs of shoes that Ben sells each day

F. The total amount of money Ben earns each day

G. The amount of money Ben earns for each pair of shoes he sells

H. The amount of money Ben earns if he does not sell any shoes

2. Which transformation occurs to the graph of y = 2x + 5 when the equation of the line changes to

y = –2x + 5?

E. The line shifts to the left 2 units.

F. The line shifts down 2 units.

G. The line is reflected across the x-axis.

H. The line is reflected across the y-axis.

3. Ally earns $2,500 per month plus a commission of 7% of the total dollar amount of each sale she makes. Her total monthly earnings, P, are represented by the equation

P = 2,500 + 0.07t, where t represents the total dollar amount of her sales for the month. Which equation will represent her total monthly earnings in dollars if her commission increases an additional 2%?

A. P = 2,700 + 0.09t

B. P = 2,500 + 0.09t

C. P = 2,700 + 0.07t

D. P = 2,500 + 0.05t

4. Which transformation occurs to the graph of y = –5x + 2 when the equation of the line changes to

y = –5x – 3?

E. The line shifts to the left 5 units.

F. The line shifts down 5 units.

G. The line is reflected across the x-axis.

H. The line is reflected across the x-axis.

5. What transformation occurs to the graph of y = 3x + 1 when the equation of the line changes to y = 6x + 1?

E. The line becomes steeper.

F. The line becomes less steep.

G. The line shifts 3 units up.

H. The line shifts 3 units right.

6. Jim and Sam are both spending the night with a cousin. The total number of miles Jim drives, J, including a 2.5 mile detour for lunch, is given by the equation J = 65t + 2.5. The total number of miles Sam drives, S, including a 1 mile detour to pick up another cousin, is given by the equation S = 70t + 1. If t represents the time in hours after each boy leaves home, which statement best compares Jim’s speed to Sam’s speed?

A. Jim’s speed is 5 miles faster than Sam’s.

B. Jim’s speed is 1.5 miles faster than Sam’s.

C. Jim’s speed is 5 miles slower than Sam’s.

D. Jim’s speed is 1.5 miles slower than Sam’s.

Algebra I EOC Practice #6

F-IF-6 Calculate and interpret the average rate of change of a function over a specified interval. Estimate the rate of change from a graph.

1. Find the slope of the line that passes through (–6, 1) and (4, –3).

A. [pic]

B. –[pic]

C. [pic]

D. –[pic]

2. Brandon works in a shoe store. His daily earnings, y, are represented by the equation y = 20x + 75 based on selling x pairs of shoes. What is represented by the slope in this equation?

I. The total pairs of shoes Brandon sells each day

J. The total amount of money Brandon earns each day

K. The amount of money Brandon earns for each pair of shoes he sells

L. The amount of money Brandon earns each day, even if he sells no shoes

3. The distance in miles, y, a rower in a canoe is from the dock after rowing x hours is represented by the equation y = 5x + 11. What does the slope represent in this situation?

I. The speed of the current

J. The speed of the rower/canoe

K. The distance the rower is from the dock when x = 0

L. The average speed of the oar as it passes through the water

4. What is the slope of the line 3x – 7y = 11?

A. –[pic]

B. [pic]

C. 3

D. –3

5. In 1991, the federal minimum wage rate was $4.25 per hour. In 1997, it was increased to $5.15. Find the annual rate of change in the federal minimum wage rate from 1991 to 1997.

I. $0.15 per year

J. $0.18 per year

K. $0.55 per year

L. $0.90 per year

6. The table below shows the amount spent on food and drink at U.S. restaurants in recent years. Find the rate of change for 1980-1990.

|Year |Food & Drink Sales |

| |(in billions) |

|1980 |$120 |

|1990 |$239 |

|2000 |$376 |

A. 13.7 billion per year

B. 12.8 billion per year

C. 10 billion per year

D. 11.9 billion per year

Algebra I EOC Practice #7

N-RN-3 Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational..

1. If the value of the variable x is positive, what is the sum of [pic] and [pic]?

A. [pic]

B. [pic]

C. [pic]

D. [pic]

2. What is the value of the following expression?

[pic]

A. [pic]

B. [pic]

C. [pic]

D. [pic]

3. Write [pic] in simplest radical form.

A. [pic]

M. [pic]

N. [pic]

O. [pic]

4. Which expression is equivalent to [pic]?

A. 5x4

B. 25x4

C. 25x8

D. 625x8

5. Which expression is equivalent to

[pic]?

A. 2x[pic]

B. 10x[pic]

C. 5x[pic]

D. [pic]

6. What is the product of [pic] and [pic]?

A. [pic]

B. [pic]

C. [pic]

D. [pic]

7. Write [pic] in simplest radical form.

A. 2x2y2[pic]

B. 3x2y2[pic]

C. 2xy[pic]

D. 3x2y2[pic]

8. If x ≠ [pic], which expression is

equivalent to [pic]?

A. x + 6

B. 3x + 2

C. –6x2 + 8x – 8

D. 12x2 + 32x + 16

Algebra I EOC Practice #8

A-SSE-2 Use the structure of an expression to identify ways to rewrite it.

1. One gram of water contains about 3.34 x 1022 molecules. About how many molecules are contained in 5.0 x 102 grams of water?

M. 1.67 x 1025

N. 8.84 x 1024

O. 6.68 x 1019

P. 1.49 x 10–20

2. Simplify (6.5 x 103)2.

D. 13 x 106

E. 13.0 x 106

F. 4.23 x 107

G. 42.2 x 108

3. The radius of a red blood cell is approximately 1.9375 x 10–7 meters. Since a red blood cell is a circular shape, use A=[pic]r2 to approximate the area of a red blood cell.

P. 3.875 x 10–14

Q. 1.179 x 10–13

R. 1.179 x 1015

S. 3.875 x 10–13

4. Simplify (3.15 x 103)(5.0 x 105). Express your answer in scientific notation.

E. 1575 x 109

F. 1.575 x 108

G. 15.75 x 1010

H. 1.575 x 109

5. Evaluate and express the answer in scientific notation.

6.3 x 109

1.3 x 102

I. 48 x 108

J. 48000000

K. 4.8 x 107

D. 4.8 x 101

6. Which expression is closest to

(7.09 x 10–8)(9.033 x 1027)?

A. 6.404 x 1020

B. 6.404 x 1035

C. 16.123 x 1019

D. 16.123 x 1035

7. The approximate population of Arizona is 4.778 x 106 people. The land area is about 1.14 x 105. What is the population density per square mile?

A. about 0.24 people per spare mile

B. about 4,892,000 people per square mile

C. about 5.45x1011 people per square mile

D. about 42 people per square mile

8. If an infrared wavelength measures about 8 x 10–7 meters, and a blue wavelength measures approximately 4.5 x 10–7 meters, about how many times longer is the infrared wavelength than the blue wavelength?

A. about 0.56 times

B. about 1.8 times

C. about 3.6 x 10–13 times

D. about 1.25 x 10–6 times

Algebra I EOC Practice #9

Describe and/or order a given set of real numbers including both rational and irrational numbers.

For questions 1 and 2, name the set or sets of numbers to which each real number belongs.

1. –[pic]

A. irrationals

B. rationals

C. naturals, wholes, integers, rationals

D. integers, rationals

2. [pic]

A. irrationals

B. rationals

C. naturals, wholes, integers, rationals

D. integers, rationals

3. Write the following numbers in order from greatest to least.

[pic], [pic], 0.46, [pic]

A. [pic], 0.46, [pic], [pic]

B. [pic], [pic], 0.46, [pic]

C. [pic], 0.46, [pic], [pic]

D. [pic], 0.46, [pic], [pic]

4. Replace each ● with >,

B. <

C. =

D. ~

5. Which statement best describes the values of the numbers in this set?

[pic]

L. They are less than 1.

M. They are between 1 and 2.

N. They are between 2 and 3.

O. They are between 3 and 4.5.

For questions 5 and 6, write each set of numbers in order from least to greatest.

6. [pic], 0.18, 0.[pic], [pic]

A. [pic], 0.18, 0.[pic], [pic]

B. 0.18, 0.[pic], [pic], [pic]

C. [pic], [pic], 0.18, 0.[pic]

D. [pic], 0.[pic], 0.18, [pic]

7. [pic], 9 [pic], [pic]

A. 9 [pic], [pic], [pic]

B. [pic], 9 [pic], [pic]

C. [pic], 9 [pic], [pic]

D. [pic], [pic], 9 [pic]

Algebra I EOC Practice #10

A-CED-2 Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.

F-IF-3 Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers.

1. At the beginning of year 1, Judy deposits $250 in her savings account, which pays 7% interest compounded annually. She makes no other deposits or withdrawals. The amount in the account at the beginning of each year is shown in the table.

Judy’s Account

|Year, n |Amount in Account, A(n) |

|1 |250 |

|2 |250(1.07) |

|3 |250(1.07)2 |

|4 |250(1.07)3 |

Which function represents A(n), the

amount in Judy’s account at the

beginning of the year n?

Q. A(n) = 250

R. A(n) = 250(1.07)n+1

S. A(n) = 250(1.07)n

T. A(n) = 250(1.07)n–1

2. Which function represents the linear pattern shown in the table?

|x |f(x) |

|1 |3 |

|2 |10 |

|3 |17 |

|4 |24 |

H. f(x) = x + 2

I. f(x) = 3x

J. f(x) = 7x – 4

K. f(x) = 5x – 2

3. The first 3 figures in a pattern are shown.

| | |

| | |

| | | |

| | | |

| | | |

| | | | |

| | | | |

| | | | |

Figure 1 Figure 2 Figure 3

Which function represents f(n), the number of small squares in figure n?

T. f(n) = n + 3

U. f(n) = n2 + 3

V. f(n) = n + 4

W. f(n) = (n + 1)2 + 2

4. The total price for a t-shirt order is a function of the number of shirts ordered. The total cost based on the number of shirts ordered is shown in the table below.

T-Shirt Cost

|Number of Shirts |Total Cost |

|Ordered | |

|50 |$395.00 |

|100 |$745.00 |

|150 |$1,095.00 |

|200 |$1,445.00 |

Which function represents the total cost for a t-shirt order?

A. f(x) = 4x – 5

E. f(x) = 6x + 145

F. f(x) = 4x + 195

G. f(x) = 7x + 45

Algebra I EOC Practice #11

AAPR-1 Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.

A-SSE-1a Interpret parts of an expression, such as terms, factors, and coefficients

1. The length and width of rectangular garden are represented in the figure shown.

[pic]

Which equation represents the area

(A) of the garden in terms of x?

A. A = 3x + 3

B. A = 2x2 + 6x

C. A = 2x + 5

D. A = 8x

2. The length and width of rectangular pool are represented in the figure shown.

A. 4x + x + 1

B. 3x2 + x

C. 5x + 1

D. 3x – 1

3. The length and width of rectangular garden are represented in the figure shown.

Which equation represents the

perimeter (P) of the garden in terms

of x?

A. P = 6x2 + 2

B. P = 4x

C. P = 6x + 2

D. P = 6x2

4. The length and width of rectangular garden are represented in the figure shown. Which expression represents the perimeter of the garden?

A. 6x2 – 4x

B. 6x2 + 4x – 24

C. 6x2

D. 3x2 + 2x – 12

5. Simplify: (2x2 – 6x + 3) + (2x – 7)

A. 2x2 – 9x

B. 2x2 – 4x – 4

C. 2x2 + 4x + 10

D. 2x2 – 9x + 4

6. Simplify: 4x3y5(8x2y + 4xy2 – 10x7y5

A. 32x6y5 + 16x3y10 – 40x21y25

B. 32xy + 16xy – 40xy

C. 32x5y6 + 16x4y7 – 40x10y10

D. 30xy – 16xy + 10xy

7. Simplify: (x + y)(x + y)

A. x2 + 2xy + y2

B. x2 + y2

C. 2x2 + 2xy + 2y2

D. x2 – y2

8. Which is an equivalent form for all values of x, y, and z for which the expression is defined?

3x6y2z10

18x2y4z3

A. [pic]

B. [pic]

C. [pic]

D. [pic]

9. Which values of x make the equation true?

x2 + 8x + 7 = 0

A. 6 and 1

B. 8 and 1

C. –7 and –1

D. 7 and 1

10. Simplify:

(11m3 + 5m2 – m) + (m2 + 9m – 7)

A. 11m3 + 6m2 + 10m + 7

B. 11m3 + 6m2 + 8m – 7

C. 11m3 + 5m2 + 10m – 7

D. 11m3 + 5m2 + 8m + 7

11. What is the sum of k3 + 9k2 + 3 and 7k2 – 5?

A. 8k3 + 16k2 – 2

B. 8k3 + 9k2 + 2

C. k3 + 16k2 – 2

D. k3 + 9k2 + 2

12. Simplify: (3x + 2y)(5x + 4y)

A. 15x2 + 8y2

B. 15x2 + 10xy + 8y2

C. 8x2 + 22xy + 6y2

D. 15x2 + 22xy + 8y2

Algebra I EOC Practice #12

A-CED-2 Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.

A-REI-1 Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.

A-REI-4b Solve quadratic equations by inspection (e.g., for x2 = 49), taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation.

A-SSE-2 Use the structure of an expression to identify ways to rewrite it.

Factor the following polynomials.

1. x2 + 8x + 15

A. (x + 3)(x + 5)

B. (x – 3)(x + 5)

C. (x + 3)(x – 5)

D. (x – 3)(x – 5)

2. x2 – 11x + 24

A. (x + 3)(x – 8)

B. (x – 2)(x – 12)

C. (x – 3)(x – 8)

D. (x + 2)(x + 12)

3. 6x2 – 23x + 20

A. (2x – 5)(3x – 4)

B. (2x – 5)(3x + 4)

C. (2x – 5)(4x – 3)

D. (3x – 4)(5x + 2)

4. 4x2 – 5x – 6

A. (x + 2)(3x + 4)

B. PRIME

C. (x – 3)(4x + 2)

D. (x – 2)(4x + 3)

5. 30x2y4z + 35x3yz5 – 5xy2z6

A. 7xyz(6x + 5x2z4 – y)

B. PRIME

C. 5xyz(6xy3 + 7x2z4 – yz5)

D. 6x2y4z + 5x3yz5 – 1xy2z6

6. x3 + 5x2 + 7x + 35

A. x(x2 + 5x + 7)

B. (x + 5)(x2 + 7)

C. (x + 7)(x2 + 5)

D. x(x2 + 5x + 42)

7. 8x2 + 2x – 15

A. (4x – 5)(2x + 3)

B. (4x + 5)(2x – 3)

C. (8x – 5)(x + 3)

D. (8x – 3)(x + 5)

8. Which expression is equivalent to

n2 – 16n + 64?

A. (n – 32)(n – 2)

B. (n + 16)(n – 4)

C. (n – 8)(n – 8)

D. (n + 8)(n + 8)

9. Which expression is equivalent to

x2 – 36?

A. (x + 9)(x – 4)

B. (x – 6)(x – 6)

C. (x + 6)(x + 6)

D. (x + 6)(x – 6)

10. Which expression is equivalent to

c2 + 20c + 100?

A. PRIME

B. (c + 10)(c + 10)

C. (c – 10)(c – 10)

D. (c + 10)(c – 10)

Algebra I EOC Practice #13

A-CED-1 Create equations and inequalities in one variable and use them

to solve problems..

1. Simplify [pic] for all values of x for which the expression is defined.

A. [pic]

B. [pic]

C. [pic]

D. [pic]

2. Simplify [pic] for all values of x for which the expression is defined.

A. [pic]

B. [pic]

C. [pic]

D. [pic]

3. Simplify [pic]

A. 5(x+3)

B. [pic]

C. [pic]

D. 5

4. Simplify [pic] for

all values of x for which the expression is defined.

A. 1

B. –1

C. [pic]

D. [pic]

5. Simplify the expression below and state all restrictions on the domain.

[pic]

A. [pic]

B. [pic]

C. [pic]

D. [pic]

6. Simplify [pic]

A. [pic]

B. [pic]

C. 2

D. x – 3

Algebra I EOC Practice #14

A-CED.

A-REI.

1. Solve the equation [pic] = 7 for m.

A. m = 50

B. m = 8

C. m = 10

D. m = 0

2. Solve the equation w – 4 = –12 – 3w for w.

A. w = –4

B. w = –2

C. w = –8

D. w = 4

3. Solve the equation c – (–1.3) = –2.3 for c.

A. c = –1.0

B. c = 3.6

C. c = 1.0

D. c = –3.6

4. Which number is a solution to

12x – 7 > 7x + 13 or 4x + 5 > 7x + 35?

A. –12

B. –10

C. –4

D. 4

5. Which compound inequality represents │7 + 2n │≥19 ?

A. 7 + 2n ≥ 19 or 7 + 2n ≥ –19

B. 7 + 2n ≥ 19 or 7 + 2n ≤ –19

C. –19 ≤ 7 + 2n ≤ 19

D. 7 + 2n ≤ 19 or 7 + 2n ≥ –19

6. Solve 4b – 3(2b – 6) > 3 – (5b + 9) for b.

A. b < 8

B. b > 8

C. b < –8

D. b > –8

7. Solve 8 > 5 – 3x and 5 – 3x > –13 for x.

A. [pic]

B. [pic]

C. [pic]

D. [pic]

8. Solve │x – 6 │ = 4.

A. [pic]

B. [pic]

C. [pic]

D. [pic]

9. Solve: 7x – 11 < 10 < 3x + 28

A. x < 3 or x < 6

B. –6 < x < 3

C. x > 6 and x < 3

D. –3 < x < 6

10. Which statement represents the

solution to this compound inequality?

–2x – 7 ≥ 3 or –4x + 6 ≤ –18

A. x ≤ 5 or x ≤ –6

B. x ≥ –5 or x ≤ 6

C. x ≤ –5 or x ≥ 6

D. x ≤ 5 or x ≥ –6

Algebra I EOC Practice #15

F-IF-1 Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range.

1. This graph represents a relation.

[pic]

Which set of ordered pairs is included in this relation?

U. {(9,–3), (4,–2), (0,0), (1,1)}

V. {(–3,9), (–2,4), (0,0), (1,1)}

W. {(–9,3), (–4,2), (0,0), (1,1)}

X. {(3,–9), (2,–4), (1,–1), (0,0)}

2. Which set represents the relation shown on the graph?

[pic]

L. {–7, –4, –1, 2, 5, 8}

M. {2, 4, 3, 1, 5, 0}

N. {(–7,2), (–4,4), (–1,3), (2,1), (5,5), (8,0)}

O. {(2,–7), (4,–4), (3,–1), (1,2), (5,5), (0,8)}

3. Observe the relation.

[pic]

Which is not an equivalent representation for this relation for the set of integers?

A. y = │ x │

B. {(–4,–4), (–1,–1), (0,0), (2,2), (3,3)}

C.

|x |y |

|–3 |–3 |

|–2 |–2 |

|–1 |–1 |

|0 |0 |

|1 |–1 |

|2 |–2 |

|3 |–3 |

D.

Algebra I EOC Practice #16

F-IF-1 Understand that a function from one set (domain) to another set (range) assigns to each element of the domain exactly one element of the range.

1. The height (h) of a cliff diver above the water t seconds after he jumps is modeled by the equation h = –16t2 + 72. What is the height above the water of a cliff diver at 1.5 seconds after he jumps?

A. 36

B. 108

C. 53

D. 312

2. A meteorologist sends a moisture probe rocket into a cloud layer. The height (h) the rocket will reach after t seconds is modeled by the equation h = –16t2 + 212t + 2. What will be the height of the rocket after 0.5 seconds?

A. 212 ft.

B. 662

C. 104 ft.

D. 44

3. Which of the following relations does NOT represent a function?

A. {(3, 2), (4, 1), (5, 2), (–7, 3)}

|x | y |

|3 |–5 |

|5 | 4 |

|3 | 8 |

B.

C. 5 [pic] - 7

0 9

-2 3

D. {(–2, 1), (–3, 2), (–4, 3), (–5, 4)}

4. What is the domain of the function?

|x | y |

|5 |–2 |

|10 | 3 |

|15 |–7 |

|20 | 5 |

A. {–2, 3, –7, 5}

B. {all real numbers}

C. 5 < d < 20

D. {5, 10, 15, 20}

5. What is the range of the function?

| | |

|1 lb. |$2.10 |

|2 lb. |$3.60 |

|3 lb. |$5.10 |

|4 lb. |$6.60 |

|5 lb. |$8.10 |

1. Write an equation for

the cost of a platter that

weighs w lbs.

A. P = .60w + 1.50

B. P = (.60 + 1.50)w

C. P = 1.50w + .60

D. P = .60(w + 1.50)

2. How much would a

6 lb. platter cost?

A. $12.20

B. $9.60

C. $8.70

D. $7.50

3. How much would a

10 lb. platter cost?

A. $15.00

B. $16.50

C. $13.50

D. $15.60

A phone company charges $17.50 per month and 12¢ for each additional minute. The chart below shows the cost per 100 minutes.

|Additional Minutes |Cost |

|0 |$17.50 |

|100 |$29.50 |

|200 |$41.50 |

|300 |$53.50 |

|400 |$65.50 |

4. Write a linear equation for the charge in terms of the number of minutes.

Let C = charge in dollars

Let m = # of minutes

A. C = $17.50 + 12.00m

B. C = $17.50m + 100

C. C = $17.50 + 0.12m

D. C = ($17.50 + 0.12)m

5. What would be the monthly charge if the customer uses 700 additional minutes?

A. $113.50

B. $101.50

C. $89.50

D. $77.50

Algebra I EOC Practice #29

Determine theoretical and/or experimental probability of an event and/or its complement including using relative frequency.

1. This table shows the number of students from each grade level who earned at least two A’s during the first nine weeks grading period.

Students with at least two A’s

|Grade Level |Number of Students |

|9 |324 |

|10 |283 |

|11 |261 |

|12 |294 |

One student will be randomly selected from this group of students to win the grand prize in the academic incentive program. Which is closest to the probability that the student selected will be a freshman or sophomore?

A. O.24

B. 0.28

C. 0.48

D. 0.52

2. Joe is playing a computer tic-tac-toe game. This table shows the results.

Tic-Tac-Toe Results

|Result |Frequency |

|Joe Wins |8 |

|Computer Wins |7 |

|Tie (Cat) |9 |

What is the experimental probability that Joe will win?

A. [pic]

B. [pic]

C. [pic]

D. [pic]

3. Twenty-three colored slips of paper are placed in a box for a drawing. Anyone wearing a shirt that matches the slip drawn will be eligible for a prize. There are 9 blue slips, 7 red slips, 4 yellow slips, and 3 green slips.

What is the probability that the first slip of paper drawn from the box is not red?

A. [pic]

B. [pic]

C. [pic]

D. [pic]

4. This table shows the number of cans of soup in Debbie’s pantry.

Soup in Debbie’s Pantry

|Flavor |Number of |

| |Cans |

|Potato |2 |

|Vegetable |6 |

|Chicken Noodle |8 |

|Broccoli Cheese |4 |

If Debbie randomly selects a can of soup to fix for lunch, what is the probability that the can selected will be vegetable or broccoli cheese?

A. . [pic]

B. [pic]

C. [pic]

D [pic]

-----------------------

x+3

2x

A=l w

3x + 1

x

A=l w

2x

x + 1

P = 2l + 2w

x2 + 2x - 6

2x2 – 6

P = 2l + 2w

–2

–1

0

1

2

0

–1

–2

feet

8’

5’

5’

x

24 ft

7 ft

12 ft

x

14 ft

Mercy

Hospital

Jefferson Hospital

Accident

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