USATestprep, Inc. - Edl Inc. 2/20/17, 7:30 AM Page 5 of 13 14) Timmy has x bushels of apples, he sells 10 bushels and then gets a shipment of 4y bushels of apples. Which

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ACT Mathematics QuizACT Mathematics QuizNumber and Quantity - (N 401) Number Concepts, (N 402) Powers Of 10, (N 501) Order Fractions, (N 704) Complex NumberPropertiesAlgebra - (A 201) Expressions, (AF 303) Relate A Graph, (AF 401) Solve Problems, (A 405) Inequalities, (AF 502) Translating,(A 513) Undefined Expressions, (AF 602) Build Functions, (AF 603) Interpret Graphs, (A 605) Quadratic Formula, (AF 702)Build Functions, (A 702) Quadratic InequalitiesFunctions - (F 401) Evaluate, (AF 502) Rate, Distance, Etc., (F 501) Evaulate Polynomial Functions, (F 508/509)Domain/Range Polynomials, (F 510) Vertical Asymptote, (F 705) Trig Graphs, (F 706) Use Trig IdentitiesGeometry - (G 403) Area And Perimeter, (G 404) Hypotenuse, (G 505) Composite Perimeter, (G 510) Determine Slope, (G 603)Special Right Triangles, (G 606) Parallel/perpendicularStatistics and Probability - (S 401) Missing Data Value, (S 502) Manipulate Data

Student Name: _______________________ Date: _________Teacher Name: Vicky King Score: _________

1)1) What is the greatest common factor (GCF) of 24x4 and 80x5?

A) 4x5

B) 6x4

C) 8x4

D) 8x5

E) 12x5

2)2) The radius of the earth's orbit is 45,000,000 meters. What is the number in scientific notation?

A) 4.5 x 10-7

B) 4.5 x 107

C) 45 x 10-6

D) 45 x 106

E) 450 x 105

3)3) On Monday, Raven ran 23

4 miles; Tuesday, 2

3

5 miles; Wednesday, 2

1

2 miles; Thursday, 2

5

8 miles; and Friday, 2

7

10 miles.

On which day did she run the farthest?

A) Friday

B) Monday

C) Thursday

D) Tuesday

E) Wednesday



4)4) Which expression is equivalent to 3i(4 + 7i)?

A) 4 - 10i

B) 4 + 10i

C) 33

D) 21 + 12i

E) -21 + 12i

5)5) A theater sells adult tickets for $8.00 and children's tickets for $5.50. Sally bought some of each kind (not the samenumber) and paid a total of $78.50. Which equation represents this situation?

A) x + y = 78.5

B) 13.5x = 78.5

C) 13.5xy = 78.5

D) 8x + 5.5y = 78.5

E) 8x - 5.5y = 78.5

6)6)

The graph shows the cost per day for renting a car. Which statement is true?

A) The rental cost is $150 per day.

B) The slope of the graph is zero.

C) The graph has a positive rate of change.

D) The graph has a negative rate of change.

E) The cost is represented by the independent variable.

7)7) Henry runs a total of 10 miles at 5 track practices. If he continues at the same rate, how many miles will Henry run at thenext 8 track practices?

A) 13 miles

B) 14 miles

C) 16 miles

D) 18 miles

E) 20 miles

8)8) Solve 5 - 2x < 7.

A) x < -1



B) x > -1

C) x < -12

D) x > -12

E) x ≥ -1

9)9)

c = number of stamps collected by Callie

Jenna and Callie collect stamps. Jenna has 20 less than twice the number of stamps that Callie has. Which expressionrepresents the number of stamps that Jenna has?

A) 2c + 20

B) 2c - 20

C) 20 - 2c

D) 20 + 2c

E) c2 - 20



10)10) For which value(s) is x+2

x-3 undefined?

A) x = -3

B) x = -2

C) x = 2

D) x = 3

E) x = -2 and 3

11)11) Andy and Sam are saving money to go on their senior trip.

The amount of money that Andy will have at the end of each week, w, can be expressed at A(w) = 20w + 300. The amount ofmoney that Sam will have at the end of each week, w, can be expressed at S(w) = 15w + 400.

They have decided to combine their savings accounts. Write a function that expresses the total amount, T(w) they have intheir savings account at the end of each week.

A) T(w) = 5w - 100

B) T(w) = 35w + 700

C) T(w) = -5w + 100

D) T(w) = 300w2 + 12500w + 120000

E) T(w) = 300w2 - 12500w + 120000

12)12) Rectangle PQRS has vertices at P(-3, 5), Q(8, 5), R(8, 0) and S. The coordinates of point S are

A) (5, 8)

B) (0, 8)

C) (-3, 0)

D) (-3,8)

E) (13, 10)

13)13) Solve using the Quadratic Formula.

4x4x22 + 7x + 1 = 0 + 7x + 1 = 0

A) x = -7 ± 65

8

B) x = -7 ± 33

8

C) x = -7 ± 33

2

D) x = -7 ± 65

2

E) x = -7 ± 65

3



14)14) Timmy has x bushels of apples, he sells 10 bushels and then gets a shipment of 4y bushels of apples. Which expressionrepresents the number of bushels Timmy now has?

A) x + 10 - 4y

B) x - 10 - 4y

C) x + 10 + 4y

D) x - 10 + 4y

E) x - 10x + 4y

15)15) Which number line represents the solution of x2 ≥ 25?

A)

B)

C)

D)

E)

16)16) Find f(-5)

f(x) = -4x + 3f(x) = -4x + 3A) -17

B) -7

C) 12

D) 20

E) 23

17)17)

t = # of text messages sent or received

Before tax, and miscellaneous charges, Jason's cell phone bill is $100 per month plus $0.15 for every text message that hesends or receives. Which expression represents his cell phone bill for any given month?

A) 100 + 15t

B) 100 + 0.15t



C) 0.15 + 100t

D) 100t - 0.15t

E) 100(0.15) + t

18)18) Find f(4).

f(x) = xf(x) = x22 + 2x - 3 + 2x - 3A) 5

B) 11

C) 13

D) 21

E) 27

19)19)

Where are the x-intercept(s) of the graph?

A) (5, 0)

B) (0, 0)

C) (-3, 0) and (3, 0)

D) (0, 3) and (0, -3)

E) (-1, 0) and (1, 0)



20)20) Which shows the graph of 3x

x + 2?

A)

B)



C)

D)

E) The graph is not shown.

21)21) What is the vertical shift of g?

g(x)g(x) = -4sin(2 = -4sin(2xx - - π) + 3) + 3



A) up 2

B) up 3

C) down 4

D) down πE) down π

22)22) Find tan(165°).

A) -1

2 - 3

B) -1

2 + 3

C) 3

D) - 3

E) None of the above

23)23) If a rectangle has a length of 10 centimeters and a width of 6 centimeters, what is the area?

A) 16 cm2

B) 32 cm2

C) 60 cm2

D) 64 cm2

E) 240 cm2

24)24)

Find the length of the hypotenuse of a right triangle if a = 9 and b = 12.

A) 10.5

B) 15



C) 16.5

D) 21

E) 108



25)25)

What is the perimeter of the figure in the diagram (round to three decimal places if necessary)?

A) 44

B) 36.472

C) 36

D) 28.472

E) 28

26)26)

m = y2 - y1

x2 - x1



What is the slope of line segment JK?

A)5

9

B)9

5

C) -5

9

D) -9

5

E) None of the above

27)27)

ΔEFG ~ ΔLMN. Find LM.

A) 2.5

B) 3

C) 3.5

D) 4.5

E) 10

28)28) Write an equation of the line that is parallel to y = 1

2x + 3 and passes through the point (10, -5).

A) y = 2x - 15

B) y = -2x + 15

C) y = - 1

2x

D) y = 1

2x - 5

E) y = 1

2x - 10



29)29) The average of 6 data values is 62. All but one are shown. Find the missing value.

58, 69, 77, ?, 39, 7658, 69, 77, ?, 39, 76

A) 43

B) 48

C) 53

D) 58

E) 63

30)30)

Based on the graph, how many students are represented?

A) 100 students

B) less than 150

C) less than 200

D) less than 300

E) more than 400

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USATestprep, Inc. - Edl Inc. 2/20/17, 7:30 AM Page 5 of 13 14) Timmy has x bushels of apples, he sells 10 bushels and then gets a shipment of 4y bushels of apples. Which