Quiz about Ellis ACT Practice

Question 1

Which of the following is a quadratic function that has a vertex at (2, -7) and opens up?

Accepted Answer

$$f\left(x\right)=\left(x-2\right)^2-7$$

Answer

$$f\left(x\right)=\left(x+2\right)^2-7$$

Answer

$$f\left(x\right)=-\left(x+2\right)^2-7$$

Answer

$$f\left(x\right)=-\left(x-2\right)^2-7$$

Question 2

Which of the following describes experimental probability?

Accepted Answer

a. Perform an experiment to determine the probability

Answer

a. Determining the expected probability of an event

Answer

a. Perform a simulation and count the number of possible outcomes

Answer

a. Use trials to count the number of desired outcomes

Question 3

A spinner has equal sections colored red, blue, and green. A student conducts an experiment where she spins the spinner twice and records the results. The results are shown in the frequency table.

What is the probability of spinning blue twice on the next two spins?

Accepted Answer

1/23

Answer

5/23

Answer

15/23

Answer

20/23

Question 4

A card is selected from a deck of 52 cards. The probability of its being a red face card is:

Accepted Answer

3/26

Answer

3/13

Answer

2/13

Answer

1/2

Question 5

Experimental Probability is:

Accepted Answer

What actually happens

Answer

What Will happen

Answer

What should happen

Answer

What I think Happens

Question 6

What is the decimal form of 35%

Accepted Answer

.35

Answer

.035

Answer

3.5

Answer

35.0

Question 7

Which of the following is a prime number?

Accepted Answer

73

Answer

9

Answer

48

Answer

93

Question 8

What rational number is halfway between 1/6 and 1/2?

Accepted Answer

1/3

Answer

2/4

Answer

1/5

Answer

1/4

Question 9

Question 9.

Accepted Answer

2x^(2/3)yz^(4/3)

Answer

2x^(3/2)yz^(3/4)

Answer

2z/x

Answer

2x/z

Question 10

Find the actual base of the figure represented by the scale drawing.

Accepted Answer

72

Answer

42

Answer

228

Answer

144

Question 11

Which shapes represents the sides of a pyramid?

Accepted Answer

triangle

Answer

trapezoid

Answer

square

Answer

rectangle

Question 12

Classify the pair of angles.

Accepted Answer

Supplementary Angles

Answer

Complementary Angles

Answer

Neither

Question 13

Find the volume of figure.

Accepted Answer

90 cm3

Answer

180 cm3

Answer

160 cm3

Answer

80 cm3

Question 14

What is the range of the following graph?

Accepted Answer

all real numbers

Answer

all integers

Answer

any real number greater than zero

Answer

it can not be determined

Question 15

What is the slope?

Accepted Answer

-4

Answer

4

Answer

1/4

Answer

-1/4

Question 16

Is the relation a function? Why.

Accepted Answer

No, because the x-value 11 has two y-values pair with it.

Answer

Yes, because the x-value 11 has two y-values pair with it.

Answer

Yes, because each x-value has only one y-value paired with it.

Answer

No, because each x-value has only one y-value paired with it.

Question 17

Which is the graph of y=-x+2?

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 18

What is the vertex form of this quadratic?

Accepted Answer

f(x) = (x - 2)²- 4

Answer

f(x) = -(x + 2)²- 4

Answer

f(x) = (x - 2)²+ 4

Answer

f(x) = -(x - 2)² - 4

Question 19

Which statements describe the value of the car as a function of x, its age in years? Check all that apply.

Accepted Answer

The value, V, is represented by the equation V = 20,000(0.9)^x.

Accepted Answer

The domain is {x| x < 0}.

Accepted Answer

The relationship is exponential.

Answer

The relationship is quadratic.

Answer

The range is {V | 0 < V < 20,000}.

Question 20

Which of the following is not a component in mathematical modeling?

Accepted Answer

Constructing and identifying the problems

Answer

Making assumptions and identifying the variables

Answer

Applying mathematics to solve problems

Answer

Reporting the findings

Question 21

What value is missing in the table?

Accepted Answer

3

Answer

5

Answer

4

Answer

0

Question 22

Mikkel threw a foam soccer ball in the air. Cameron wanted to find out how high the soccer ball got given that it took 1 second to get to its highest point.

Which one are we looking for?

Accepted Answer

y at vertex

Answer

x at vertex

Answer

positive zero

Question 23

A ___________ is a representation involving real world problem into mathematical problem.

Accepted Answer

mathematical modeling

Answer

mathematical function

Answer

derivative function

Answer

abstraction

Question 24

What is the missing statement in the proof?

Accepted Answer

Subtraction property of equality

Answer

Substitution property of equality

Answer

Transitive property of equality

Answer

Symmetric property of equality

Question 25

The symbol $$\cong$$ means..........

Accepted Answer

Congruent

Answer

transitive

Answer

equal sign

Answer

supplementary

Question 26

Solve for x:

Accepted Answer

x = 10

Answer

x = 20

Answer

x = 7

Answer

x = 3

Question 27

Step 2 is what

Accepted Answer

Distributive Property

Answer

Substitution property (simplify)

Answer

Multiplication property of equality

Answer

Division property of equality

Question 28

Choose the correct definition, postulate, or theorem for the following statement

Accepted Answer

Definition of Congruent Segments

Answer

Definition of Midpoint

Answer

Definition of Bisector

Answer

Definition of Linear Pair

Answer

Definition of Segment Addition

Question 29

A test has twenty questions worth 100 points.  The test consists of True/False questions worth 3 points each and multiple choice questions worth 11 points each.  How many multiple choice questions are on the test?

Accepted Answer

5 multiple choice

Answer

20 Multiple Choice

Answer

10 Multiple Choice

Answer

15 Multiple Choice

Question 30

What is the solution to the system?

Accepted Answer

(3, -1)

Answer

(-1, 3)

Answer

(-3, 1)

Answer

(-3, -1)

Question 31

What is the solution to the system of equations?

Accepted Answer

(-2, -2)

Answer

(2, -2)

Answer

(2, 2)

Answer

No Solution

Question 32

What is the solution to the system of equations?

Accepted Answer

(-4, -3)

Answer

(3, 4)

Answer

(-3, -4)

Answer

(4, 3)

Question 33

What is the solution to the system of equations?

Accepted Answer

(3, 1)

Answer

(-1, -3)

Answer

(1, 3)

Answer

(-3, -1)

Question 34

Simplify: $$\sqrt[]{28}$$

Accepted Answer

$$2\sqrt[]{7}$$

Answer

$$4\sqrt[]{7}$$

Answer

$$2\sqrt[]{14}$$

Answer

$$7\sqrt[]{4}$$

Question 35

Simplify:

$$-2\sqrt[]{75xy^2}$$

Accepted Answer

$$-10y\sqrt[]{3x}$$

Answer

$$-50y\sqrt[]{3x}$$

Answer

$$-10\sqrt[]{3xy^2}$$

Answer

$$-6x\sqrt[]{9y^2}$$

Question 36

Find the volume of the empty space left inside the cylinder.

Cylinder: $$V=\ \pi\ r^2h$$

Sphere: $$V=\frac{4\pi\ r^3}{3}$$

Accepted Answer

261.8

Answer

246.3

Answer

321.4

Answer

1245.5

Question 37

What is the total surface area of the cylinder to the nearest square inch?

$$S=2\pi\ r^2+\pi\ r^2h$$

Accepted Answer

1300 in2

Answer

625 in2

Answer

1046 in2

Answer

414 in2

Question 38

If the radius of a sphere is doubled, then what is the ratio of their surface area?

$$S=4\pi\ r^2$$

Accepted Answer

1 : 4

Answer

1 : 2

Answer

2 : 1

Answer

4 : 1

Question 39

Find the volume of the cone. Round your answers to the nearest tenth.

$$V=\frac{1}{3}\pi\ r^2h$$

Accepted Answer

314.2 in3

Answer

320.4 in3

Answer

205.5 in3

Answer

267.4 in3

Question 40

A beam 9m long, 40cm wide and 20cm deep is made up of iron which weighs 50kg per cubic metre. The weight of the beam is

Accepted Answer

36kg

Answer

27kg

Answer

48kg

Answer

56kg

Ellis ACT Practice

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