Spring Break Homework Packet 2019 100 Extra Points Due 3/22/19

Name Class Date

Spring Break Homework Packet 2019 – 100 Extra Points Due 3/22/19

1. Which is the simplified form of the

expression?

9r(r + 3) – 2r(r – 4)

A 11r2 + 19r

B 11r2 + 35r

C 7r2 + 19r

D 7r2 + 35r

2. If f(x) = 3

4x + 5

6, what is f(12)?

F 59

6

G 47

6

H 23

6

J 19

3. Which function rule is graphed below?

A y = 3x – 4

B y = 1

4x – 3

C y = x – 3

D y = 1

2x – 3

4. Solve y = 2xz2 – xy for x.

F x = 2

1

2z

G x = 2

2

y

z

H x =

J x =

5. Factor x2 – 5x + 6.

A (x – 3)(x + 2)

B (x + 3)(x + 2)

C (x – 3)(x – 2)

D (x + 3)(x – 2)

6. Which of the following gives a definition

for the geometric sequence?

3, –3, 3, –3, 3, …

F A(1) = –3; A(n) = A(n – 1) • –1

G A(1) = –3; A(n) = A(n – 1) • 1

H A(1) = 3; A(n) = A(n – 1) • 1

J A(1) = 3; A(n) = A(n – 1) • –1

7. Which of the following correlations

represents a causal relationship?

A the number of cats and the number of

dogs in a shelter

B the number of cats in a shelter and

the amount of cat food used

C the number of visitors and the

number of cats in a shelter

D the amount of money in the cash

drawer and the number of cats in the

shelter

Pearson Texas Algebra I TP1 Texas Practice EOC Assessment

Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.

Name Class Date

Summative Test

8. The function f(x) = 14,000 • 0.8x

represents the value of a car after x years.

Which statement best describes the

situation?

F The starting value of the car is

$14,000. The value of the car increases

by 20% each year.

G The starting value of the car is

$14,000. The value of the car increases

by 80% each year.

H The starting value of the car is

$14,000. The value of the car

decreases by 20% each year.

J The starting value of the car is

$14,000. The value of the car

decreases by 80% each year.

9. The area of a rectangle is 6x2 – x – 2.

The width of the rectangle is 2x + 1.

What is the length of the rectangle?

A (3x + 1)

B (3x – 1)

C (3x – 2)

D (3x + 2)

10. Which equation best represents the line

of best fit for the scatter plot below?

F y = –x + 7

G y = x + 7

H y = x

J y = –x

11. Which graph shows the solution set of

the inequality 4x + 2y < 6?

A

B

C

D

12. A puddle is 0.06 m deep after 1 h and

0.03 m deep after 5 h. At what rate, in

m/h, is the level of the water changing?

Record your answer and fill in the

bubbles on your answer document.



Name Class Date

Summative Test

13. Which of the following is a solution to

the equation 2x2 + 3x = 2?

A –3

B

C 1

2

D 2

14. Which of the following shows the

correlation coefficient and the equation

for the line of best fit for the data in the

table? Let x be temperature and let y be

attendance.

Attendance at Water Park

Temperature (°F)

Attendance

64 130

73 276

82 874

85 951

84 712

77 402

F 0.86; y = 39x – 2455

G 0.86; y = .02x + 65

H 0.93; y = 39x – 2455

J 0.93; y = .02x + 65

15. Which of the following shows a

relationship that is a function?

A {(300, 9), (260, 4), (275, 4), (350, 11),

(225, 2), (300, 7)}

B {(300, 9), (260, 4), (275, 4), (350, 11),

(260, 2), (310, 7)}

C {(300, 9), (260, 4), (275, 4), (350, 11),

(225, 2), (330, 7)}

D {(300, 9), (260, 4), (225, 4), (350, 11),

(225, 2), (330, 7)}

16. Solve the equation 4t – 5 + 2t =

t + 2 – 2t for t.



17. Which graph represents the exponential

function f(x) = 4x?

A

B

C

D



Name Class Date

Summative Test

18. The function f(x) = 60 + 10x represents

a test score, f(x), of a student studying

x hours for a test. The student studies for

no more than 3 hours. What is the range

of the function?

F 0 ≤ x ≤ 3

G 0 ≤ x ≤ 60

H 0 ≤ f(x) ≤ 3

J 60 ≤ f(x) ≤ 90

19. What are the x-intercepts of the graph of

the equation y = x2 + 3x – 10?

A x = –2, x = –5

B x = –2, x = 5

C x = 2, x = 5

D x = 2, x = –5

20. The function g(x) = –(x – 6)2 is a

transformation of the parent function,

f(x). Which of the following correctly

describes the transformation?

F Reflect f(x) across the x-axis and

translate 6 units to the left.

G Reflect f(x) across the x-axis and

translate 6 units to the right.

H Reflect f(x) across the y-axis and

translate 6 units to the right.

J Reflect f(x) across the y-axis and

translate 6 units to the left.

21. Simplify (x2 + 3x + 4) + (2x + 4).

A x2 + 5x

B x2 + 5x + 8

C x2 + 5x2 + 8

D 6x2 + 8

22. What is the equation of the line that

passes through the points (0, 3) and

(2, 0)?

F y = 2

3x + 3

G y = x + 2

H y = x + 3

J y = 3

2x + 2

23. What is m, the slope of the line that is

shown in the graph below?



24. Simplify 75 • 3 .

F 5

G 5 3

H 6 3

J 15

25. What is the product of (x2 + 4)(x + 3)?

A 4x2 + 4x + 12

B x3 + 3x3 + 4x + 12

C x3 + 4x2 + 4x + 12

D x3 + 4x2 + 4x + 7



Name Class Date

Summative Test

26. Which graph shows the solution to the

system?

3x + y = –1

–2x + y = 4

F

G

H

J

27. What is the solution of the inequality

–3 ≤ –(x + 9)?

A x ≤ –12

B x ≥ 12

C x ≤ –6

D x ≥ –6

28. What is the equation of the line that

is perpendicular to 9x + 3y = 36 and

passes through the point (6, 2)?

F x = 3y + 2

G y = 3x + 2

H y = 3x

J x = 3y

29. Suppose y varies directly with x. Write an

equation for the direct variation if y = 8

when x = 15.

A y = 15

8x

B y = 8

15x

C y = 8x

D y = 15x

30. At a garage sale a CD costs three times

as much as a book. You bought three

books and two CDs. You spent $18. Let

c represent the number of CDs bought

and b represent the number of books

bought. Which system of equations

models this situation?

F 18

2 3

c b

c b

G 3 18

3 2 18

c

b c

H 3

3 2 18

c b

b c

J 3

3 2 18

c b

b c



Name Class Date

Summative Test

31. Which expression is equivalent to 2 5

3 2 3

4

12

x y

x y z

?

A 1

3xy3z3

B

3 3

3

y z

x

C

3 33y z

x

D 3

33

y

xz

32. An engineer models the changing

storage capacity in amp hours

of a rechargeable battery

with the exponential model

A(n) = 150 • 0.09975n, where n is the

number of times the battery has been

recharged. Which best describes the

domain and range of this exponential

function?

F Domain: n ≥ 0

Range: 100 ≥ A(n) ≥ 0

G Domain: n ≥ 0

Range: 150 ≥ A(n) ≥ 1

H Domain: n ≥ 0

Range: 150 ≥ A(n) ≥ 0

J Domain: n ≥ 0

Range: 150 > A(n) > 0

33. What is value of x in the solution to the

system of equations below?

7x – 3y = 6

5x – 2y = 5



34. What is the equation of a line that is

parallel to the line shown below and

passes through the point (–4, 1)?

F 2y – x = –1

G 2y + x = 6

H 2y – x = 6

J 2y + x = –1

35. Solve the equation 2x + 3 – 5x =

3x + 5 – x for x.

A

B

C 2

D 3

36. Which is the best estimate to the system

of equations shown in the graph below?

F (0.3, –1.5)

G (0.8, –1.4)

H (1.2, –0.4)

J (–1.4, 0.8)



Name Class Date

Summative Test

37. Which graph represents the linear

function 2x + 4y = –4?

A

B

C

D

38. Which quadratic function has a vertex

at (–1, 2) and passes through the point

(0, 0)?

F f(x) = 2x2 + 4x

G f(x) = –2x2 + 4x

H f(x) = 2x2 – 4x

J f(x) = –2x2 – 4x

39. An exponential function is shown below.

Which equation correctly models the

horizontal asymptote of the graph?

A x = 0

B x = –2

C y = –2

D y = 0

40. What are the domain and range of the

function y = 3x2 – 2?

F Domain: x ≥ –2; Range: all real

numbers

G Domain: x ≥ 2; Range: all real

numbers

H Domain: all real numbers;

Range: y ≥ –2

J Domain: all real numbers;

Range: y ≥ 2



Name Class Date

Summative Test

41. At Colson’s Discount Bookstore,

paperbacks cost $4.50 each and

hardbacks cost $8.00 each. Which

equation best describes the number of

paperbacks, p, and hardbacks, h, that

can be purchased for $65.00?

A 8p + 4.5h = 65 C 12.5(p + h) = 65

B 4.5p + 8h = 65 D 65(p + h) = 12.5

42. What are the roots of the quadratic

equation 3x2 + 3x – 36?

F 3 and 4 H –3 and 4

G 3 and –4 J –3 and –4

43. The students in the band are selling

entertainment books. They earn $11.25

on each book they sell. Their goal is to

earn more than d dollars. Let b represent

the number of books they sell. Which

inequality models this situation?

A d ≤ 11.25b C d > 11.25b

B d < 11.25b D d ≥ 11.25b

44. The quadratic function below models the

profit a company makes based on the

quantity of items it sells to customers.

What is the greatest profit the company

can make based on the sale of these items?

F $35.00 H $3400

G $3000 J $4000

45. Which graph represents the solution set

to the system of inequalities?

y > 1

2x – 2

y ≤ 2x – 3

A

B

C

D



Name Class Date

46. Which graph represents the quadratic

function y = –3x2 + 7x – 3?

F

G

H

J

47. A model rocket was fired upward at an

initial speed of 60 meters per second.

The table below shows the rocket’s

height at x seconds.

Time (s) 0 2 4 6 8 10 12

Height (m) 0 100 174 190 174 100 0

Which quadratic function is a

reasonable fit to the data?

A y = 5x2 – 60x + 2

B y = –3x2 + 60x – 4

C y = –5x2 + 64x – 2

D y = 25x2

48. The graph of which equation is

shown below?

F y = 2x2 + x – 3

G y = 1

2x2 + x – 3

H y = 4x2 + x – 3

J y = x2 + x – 3

49. The population of a town is 75,000

and decreases 1.5% each year. Which

exponential function models the

population after x years?

A f(x) = 75,000 • 1.5x

B f(x) = 75,000 • 0.015x

C f(x) = 75,000 • 0.985x

D f(x) = 75,000 • 9.85x



Name Class Date

Summative Test

50. What is the rate of change?

x 1 3 5 7

y 4 8 12 16



51. How will the graph of y = 5x2 be affected

if the coefficient of x2 becomes –5?

A The graph will become wider.

B The graph will become narrower.

C The graph will be reflected across the

y-axis.

D The graph will be reflected across the

x-axis.

52. The line represented by the equation

y = –x + 2 is graphed below.

Which of the following best describes

the change in the graph if the line

becomes y = x + 2?

F The x-intercept increases.

G The y-intercept increases.

H The x-intercept decreases.

J The y-intercept decreases.

53. Which statement best describes the

function shown below?

A The equation is y = –3. The slope of

the line is undefined.

B The equation is y = –3. The slope of

the line is 0.

C The equation is x = –3. The slope of

the line is undefined.

D The equation is x = –3. The slope of

the line is 0.

54. Scientists are observing a bacteria

population in a laboratory culture. The

table below shows the population after

h hours.

Time (h) 0 24 48 72 96

Population 100 115 132 152 175

Which exponential function is a

reasonable fit to the data?

F p = 89.103 • 2.003h

G p = 90.006 • 2.113h

H p = 92.45 • 1.003h

J p = 99.95 • 1.006h



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Spring Break Homework Packet 2019 100 Extra Points Due 3/22/19