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Worksheets

Math 10 Reviewer

Total questions: 44

Worksheet time: 4hrs 40mins

Name
Class
Date
1.

What is the leading coefficient of P(x) = 7x⁵ - 5x³ + 200x⁴ + 12

a)

-5

b)

12

c)

200

d)

7

2.

The following are examples of polynomial function, EXCEPT

a)

f(x) = 2x³ - 4x

b)

P(x) = x^ -4 + 27

c)

y = 3x⁴ - x² + 8

d)

y = 3x - 5x³ + 2x⁴

3.

It is a set of all points that are at the same distance from a fixed given point in the plane.

a)

Radius

b)

Circle

c)

Arc

d)

Angle

4.

Which is the leading term of the polynomial fuction y = x² - 3x6 - 2x⁵ + 107

a)

- 3x⁶

b)

c)

- 2x⁵

d)

10

5.

It is an angle formed by two radii whose vertex is on the center of the circle

a)

inscribed

b)

central

c)

vertical

d)

linear pair

6.

What is the degree of the polynomial function y = x² - 3x⁴ - 2x¹⁰ + 10?

a)

2

b)

4

c)

5

d)

10

7.

It is a line that intersects the circle at exactly one point.

a)

chord

b)

secant

c)

diameter

d)

tangent

8.

How many turning points does the graph of f(x) = x⁵ - 5x⁴ + 4x have?

a)

4

b)

6

c)

3

d)

5

9.

What are the x-intercepts of f(x) = x(x+5)(x-3)(x-2)?

a)

0, 5, -3, -2

b)

3, 0, -5, 2

c)

5, 3, 2, 0

d)

-5, 2, 3

10.

It is a line that intersects the circle at two points

a)

tangent

b)

secant

c)

diameter

d)

chord

11.

A demographer predicts that the population, P, of a town t years from now can be modeled by the function P(t) = 6t⁵ - 5t³ + 200t⁴ What will be the population of the town two years from now

a)

15 352

b)

3 352

c)

124 560

d)

12 256 000

12.

Which of the polynomial function is in degree of 4?

a)

linear

b)

quadratic

c)

cubic

d)

quartic

13.

Given the function h(x) = - 3x⁶ + 2x⁴ - 8x² + 25 What is the end behavior of the graph?

a)

rises to the left falls to the right

b)

falls to the left rises to the right

c)

rises to left and right

d)

falls to left and right

14.

Which of the following is the sketch of the graph of the polynomial function h(x) = x³ - 14x² ?

a)

A.

b)

B.

c)

C.

d)

D.

15.

If arc AC measures 100°, then what is the measure of arc AF in the figure to the right?

a)

100°

b)

80°

c)

90°

d)

280°

16.

If ∠COD measures 95°, then what is the measure arc CD in the figure?

a)

95°

b)

85°

c)

275°

d)

360°

17.

Refer to the circle O above, what is the measure of ∠AFC if mAC = 94°?

a)

47°

b)

94°

c)

43°

d)

294°

18.

If measurement of arc MH = 130° and measurement of arc AT = 58°, what is ∠MDH ?

a)

72°

b)

104°

c)

37°

d)

36°

19.

If measurement of arc MH = 175° and measurement of arc AT = 55°, what is ∠MDH ?

a)

30°

b)

120°

c)

60°

d)

180°

20.

If measurement of arc XW = 88° and measurement of arc VZ = 132°, what is ∠XYW ?

a)

56°

b)

55°

c)

220°

d)

110°

21.

What is the length of the segment x in the figure?

a)

10 units

b)

8 units

c)

6 units

d)

12 units

22.

What is the length of line TO in the figure on the right?

a)

12 units

b)

10 units

c)

3 units

d)

14 units

23.

What is the length of the segment x in the figure?

a)

8 units

b)

12 units

c)

10 units

d)

24 units

24.

The diagram shows a satellite that is above a point on the earth's surface. If the satellite has 50° view of the earth's equator, and the portion of the equator that is observable from the satellite is 130°, what is the degree measure of the equator that is not observable from the satellite?

a)

100°

b)

180°

c)

230°

d)

250°

25.

Which of the following represents the distance d between the two points (x1, y2) and (x2, y2)?

a)

A.

b)

B.

c)

C.

d)

D.

26.

Which of the following represents the midpoint M segment whose endpoints are (x1, y1) and (x2, y2)?

a)

A.

b)

B.

c)

C.

d)

D.

27.

If the coordinates of P and Q are (3, 6) and (7, 6), respectively, which of the following would give the distance between the two points?

a)

|-3-7|

b)

|3-7|

c)

|3+7|

d)

|-3-6|

28.

What is the distance between points (-2, -5) and (10, 0)?

a)

√12 units

b)

13 units

c)

√13 units

d)

12 units

29.

What is the length of a segment whose endpoints are at (-6,8) and (-3,10)?

a)

4

b)

6

c)

√10

d)

√13

30.

L is the midpoint of line KM. Which of the following is true about the distances among K, L, and M?

a)

KL = KM

b)

LM = KM

c)

KL = LM

d)

2KM = KL + LM

31.

What are the coordinates of the of a segment with (12, -1) and (-20,-5)?

a)

(16, 2)

b)

(-4, 3)

c)

(-8, -6)

d)

(-4, -3)

32.

A new transmission tower will be put up midway between two existing towers. On a map drawn on a coordinate plane, the coordinates of the first existing tower are (-2, -5) and the coordinates of the second existing tower are (9,13). What are the coordinates of the point where the new tower will be placed?

(a)  

33.

Which is the equation of the circle with center (h, k) and radius of r?

a)
(x - h)² + (y - k)² = r²
b)

x² + y² = r²

c)

(x - h)² - (y - k)² = r²

d)

x² - y² = r²

34.

Which is the equation of the circle with center at the origin and radius of r?

a)
(x - h)² + (y - k)² = r²
b)

x² + y² = r²

c)

(x - h)² - (y - k)² = r²

d)

x² - y² = r²

35.

Which is the equation of a circle with the center at (2, 7) and radius of 6 units?

a)

(x + 2)² - (y - 7)² = 36

b)

(x - 2)² + (y - 7)² = 36

c)

(x - 2)² - (y + 7)² = 36

d)

(x + 2)² + (y - 7)² = 36

36.

Which is the equation of a circle with the center at the origin and radius of 10 units?

a)

x² - y² = 100

b)

x² + y² = 10

c)

x² + y² = 100

d)

x² - y² = 10

37.

What is the radius of the equation x² + y² = 400?

a)

r = 400

b)

r = 20

c)

r = √400

d)

r = -20

38.

What is the center of the equation x² + y² = 169?

(a)  

39.

Give the center and radius of the circle whose equation is (x + 4)² + (y - 1)² = 49

a)

C(4,- 1) r = 7

b)

C(- 4,- 1) r = 7

c)

C(- 4,1) r = 7

d)

C(4,1) r = 49

40.

What is center of the circle equation x² + (y + 1)² = 5

a)

(0, -1)

b)

(0, 1)

c)

(1, 0)

d)

(-1, 0)

41.

What is the center of the circle in the equation (x - 15)² + y² = 5

a)

(15, 1)

b)

(-15, -1)

c)

(15, 0)

d)

(-15, 0)

42.

Which is the graph of the equation x² + y² = 47

a)

A.

b)

B.

c)

C.

d)

D.

43.

What is the equation of the circle in standard form of the circle at the right?

a)

(x - 2)² + (y - 2)² = 3

b)

(x - 2)² + (y - 2)² = 9

c)

(x - 2)² + (y + 2)² = 9

d)

(x + 2)² + (y - 2)² = 9

44.

Which is the graph of the equation (x + 2)² + (y + 3)² = 4?

a)

A.

b)

B.

c)

C.

d)

D.