Quiz about Second Summative Test in Math 10

Question 1

Which of the following is a polynomial functions?

Accepted Answer

g(x) = $$x^2$$

Answer

f(x) = $$\frac{1}{x}$$

Answer

h(x) = $$\sqrt[]{x}$$

Answer

f(x)= $$x^{\frac{2}{3}}$$

Question 2

What is the leading coefficient of $$f\left(x\right)=\ -x\left(2x+5\right)^2\left(x-1\right)^3?$$

Accepted Answer

-4

Answer

-1

Answer

1

Answer

2

Question 3

What is the end behavior of the graph of $$f\left(x\right)=\ -10x+2x^3-14x+4?$$

Accepted Answer

falls to the left and rises to the right

Answer

rises to both directions

Answer

fails to both directions

Answer

rises to the left and falls to the right

Question 4

Which refers to a set of points that are at a constant distance from a fixed point?

Accepted Answer

circle

Answer

center

Answer

radius

Answer

secant

Question 5

Which statements describes the relationships between central angle and its arc?

Accepted Answer

The measure of central angle is equal to the measure of its intercepted arc.

Answer

The measure of the central angle is half the measure of its intercepted arc.

Answer

The measure of the arc is twice the measure of its central angle.

Answer

The measure of central angle is twice the measure of its intercepted arc.

Question 6

Which of the following is the common internal tangent of circle A and circle B?

Accepted Answer

$$\overline{FG}$$

Answer

$$\overline{AB}$$

Answer

$$\overline{AF}$$

Answer

$$\overline{BG}$$

Question 7

Consider the equation of the circle $$\left(x+2\right)^2+y^2=9$$

What is the center of the circle?

Accepted Answer

(-2,0)

Answer

(2,0)

Answer

(0,2)

Answer

(0,-2)

Question 8

Consider the equation of the circle $$\left(x+2\right)^2+y^2=9$$

Suppose the center was moved two units downward and three units to the right, what will be the new center of the circle?

Accepted Answer

(1,-2)

Answer

(3,0)

Answer

(3,2)

Answer

(5,-2)

Question 9

Which of the following is the graph of polynomial functions $$f\left(x\right)=\left(x+1\right)^3\left(x-1\right)^2.$$

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 10

How is the sketch of the graph of the polynomial function, $$f\left(x\right)=\ x\left(x+1\right)^2,\ be\ drawn\ to\ the\ x-axis?$$

Accepted Answer

The sketch must be tangent at (-1,0) and crosses at (0,0).

Answer

The sketch must crosses both at (-1,0) and (0,0).

Answer

The sketch must be tangent at both (-1,0) and (0,0).

Answer

The sketch must crosses at (-1,0) and tangent at (0,0).

Question 11

Which graph has an odd degree and a negative leading coefficient in its equation?

Accepted Answer

Question 12

Which graph has an even degree and a positive leading coefficient in its equation?

Accepted Answer

Question 13

A central angle whose measures is $$45\degree$$ subtends arc AC. If the radius of the circle is 6 cm. How long is is arc AC?

Accepted Answer

$$\frac{3\pi}{2}cm$$

Answer

$$\frac{\pi}{8}cm$$

Answer

$$\frac{\pi}{4}cm$$

Answer

$$\frac{2\pi}{3}cm$$

Question 14

Given circle D on the right, which statement(s) is/ are correct?

I. m

II. $$m

III. $$m

Accepted Answer

I and III

Answer

I only

Answer

II only

Answer

I, II and III

Question 15

Which of the following angles is congruent to

Accepted Answer

<BDC

Answer

<ABD

Answer

<ACD

Answer

<BPC

Question 16

If <BAC= $$25\degree$$ .Find m<BDC

Accepted Answer

$$25\degree$$

Answer

$$40\degree$$

Answer

$$50\degree$$

Answer

$$60\degree$$

Question 17

$$If\ <BAC=\ \left(x+5\right)\degree\ and\ arc\ BC=40\degree,\ what\ is\ the\ value\ of\ x?$$

Accepted Answer

15

Answer

10

Answer

20

Answer

35

Question 18

$$If\ \overline{AC\ }and\ \overline{BD}\ are\ chords,\ then\ what\ is\

Accepted Answer

$$70\degree$$

Answer

$$90\degree$$

Answer

$$80\degree$$

Answer

$$35\degree$$

Question 19

$$If\ \overline{AB\ }=10\ units,\ \overline{AF}=4\ units\ and\ \overline{BG}=3\ units,\ then\ what\ is\ \overline{FG}?$$

Accepted Answer

$$\sqrt[]{51}units\ $$

Answer

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

Answer

7 units

Answer

51 units

Question 20

In the given figure at the left, which of the following equations can determine the measure of the exterior angle formed by two secants?

Accepted Answer

$$m<EAF\ =\frac{1}{2}\left(m\ arc\ EF\ -\ m\ arc\ BC\right)$$

Answer

$$m<EAF\ =\ \frac{1}{2}\left(m\ arc\ BC\ -\ m\ arc\ EF\right)$$

Answer

$$m<EAF=\frac{1}{2}\left(m\ arc\ EF\ +\ m\ arc\ BC\right)$$

Answer

$$m\ <BDC\ =\ \frac{1}{2}\left(m\ arc\ BC\ +\ m\ arc\ EF\right)$$

Question 21

Which statements is/are not true about the measures of

$$I.\ m

$$II.\ m

$$III.\

Accepted Answer

II and III only

Answer

I only

Answer

III only

Answer

I and II

Question 22

Which statement is not true?

Accepted Answer

<ACB and <ADB are complementary angles

Answer

$$\overline{AO}\ is\ \perp$$ $$\overrightarrow{DA}$$

Answer

AO = OC = OB

Answer

$$\overrightarrow{DA}\ and\ \overrightarrow{DB}\ are\ an gents$$

Question 23

What is the value of x?

Accepted Answer

69

Answer

28

Answer

56

Answer

90

Question 24

What is the distance between the points M(-3,1) and N(7, -3)?

Accepted Answer

$$2\sqrt[]{29}\ units$$

Answer

6 units

Answer

14 units

Answer

$$4\sqrt[]{29\ }units$$

Question 25

A map is drawn on a grid where 1 unit is equivalent to 2 km. On the same map, the point corresponding to SM Marilao is (1,4). Suppose Malolos is 20 km away from SM Marilao which point corresponding to position of Malolos?

Accepted Answer

(9, 10)

Answer

(17, 16)

Answer

(17, 13)

Answer

(-15, 16)

Question 26

Consider the circle whose equation is given by $$\left(x+2\right)^2\ +\ y^2=9$$

What is the center of the circle?

Accepted Answer

(-2, 0)

Answer

(2,0)

Answer

(0, 2)

Answer

(0,-2)

Question 27

The volume V(x) of a rectangular container is a function of its width x. If its height is 10 cm shorter than its width and its length is 15 cm longer than its width, what is the restricted domain of this function?

Accepted Answer

[10, $$+\infty$$ ]

Answer

[0, 15]

Answer

[-15, 0]

Answer

[0, 10]

Question 28

The volume of the box is given by V(x)= $$2x^3+7x^2+3x.$$ Which expression represents the missing width?

Accepted Answer

2x + 1

Answer

x+1

Answer

x+2

Answer

2x+3

Question 29

What is the measure of

Accepted Answer

$$90\degree$$

Answer

$$60\degree$$

Answer

$$180\degree$$

Answer

$$200\degree$$

Question 30

What is the measure of arc QR if m

Accepted Answer

$$76\degree$$

Answer

$$38\degree$$

Answer

$$52\degree$$

Answer

$$104\degree$$

Question 31

If measure of arc CE= $$100\degree$$ and arc DB= $$120\degree$$ , then what is the measure of <1?

Accepted Answer

$$110\degree$$

Answer

$$120\degree$$

Answer

$$130\degree$$

Answer

$$140\degree$$

Question 32

If measure of arc CD= $$80\degree$$ and arc EB= $$60\degree$$ , then what is the measure of <2?

Accepted Answer

$$70\degree$$

Answer

$$100\degree$$

Answer

$$90\degree$$

Answer

$$80\degree$$

Question 33

If measure of arc CE= $$100\degree$$ and arc DB= $$120\degree$$ , then what is the measure of <3?

Accepted Answer

$$110\degree$$

Answer

$$120\degree$$

Answer

$$130\degree$$

Answer

$$140\degree$$

Question 34

Given the figure, what is the value of x?

Accepted Answer

5 units

Answer

6 units

Answer

7 units

Answer

8 units

Question 35

In the figure, which of the following will be used to find the value of a?

Accepted Answer

$$a^2=12\left(12+15\right)$$

Answer

$$a^2=\ 12\ +15$$

Answer

$$a^2=\ 12^2+15^2$$

Answer

$$a^2=15\left(12\ +\ 15\right)$$

Question 36

Circle F has a central angle of $$120\degree$$ with radius 10 m. What is the area of the segment?

Accepted Answer

$$\left(\frac{100\pi}{3}-25\sqrt[]{3}\right)m$$

Answer

$$\left(100\pi-25\sqrt[]{3}\right)m$$

Answer

$$\left(10\pi-25\sqrt[]{3}\right)m$$

Answer

$$\left(\frac{10\pi}{3}-25\sqrt[]{3}\right)m$$

Question 37

Given the two secants shown in the diagram, find the value of x

Accepted Answer

$$40\degree$$

Answer

$$60\degree$$

Answer

$$80\degree$$

Answer

$$14\degree$$

Question 38

In the figure, Triangle ABC is an equilateral. What is the measure of

Accepted Answer

$$120\degree$$

Answer

$$100\degree$$

Answer

$$140\degree$$

Answer

$$160\degree$$

Question 39

What is the equation of the circle whose graph is shown at the right?

Accepted Answer

$$\left(x+2\right)^2+y^2=4$$

Answer

$$\left(x+2\right)^2+y^2=2$$

Answer

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

Answer

$$\left(x-2\right)^2+y^2=4$$

Second Summative Test in Math 10

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