Free Printable training

1.

$\sqrt[]{48}$

a)

4 $\sqrt[]{2}$

b)

6 $\sqrt[]{3}$

c)

4 $\sqrt[]{3}$

d)

4 $\sqrt[]{2}$

2.

Simplify the radical...

$\sqrt[]{20a^2b^4}$

a)

2ab² $\sqrt[]{5}$

b)

4ab² $\sqrt[]{5}$

c)

5ab² $\sqrt[]{2}$

d)

2a²b² $\sqrt[]{5}$

3.

Simplify $\sqrt[]{45n^3}$

a)

3n $\sqrt[]{5n}$

b)

4n $\sqrt[]{8}$

c)

4n $\sqrt[]{-8}$

d)

10 $\sqrt[]{n}$

4.

a)

y²z¹⁰ $\sqrt[]{xy}$

b)

20yz $\sqrt[]{xy}$

c)

xy²z¹⁰ $\sqrt[]{y}$

d)

yz⁶ $\sqrt[]{xy^2z^2}$

5.

Simplify:

$\sqrt[]{72}$

a)

$\sqrt[]{72}$

b)

2 $\sqrt[]{2}$

c)

6 $\sqrt[]{2}$

d)

4 $\sqrt[]{18}$

6.

$\sqrt{45}=$

a)

$3\sqrt{5}$

b)

$5\sqrt{3}$

c)

$9\sqrt{5}$

d)

$5\sqrt{9}$

7.

$\sqrt{169}=$

a)

$3\sqrt{7}$

b)

$13$

c)

$7\sqrt{3}$

d)

$7\sqrt{7}$

8.

$\sqrt{125}$

a)

$5\sqrt{5}$

b)

$25\sqrt{5}$

c)

$5\sqrt{25}$

d)

$5\sqrt{2}$

9.

√1

a)

1

b)

2

c)

10

d)

100

10.

Simplify $\sqrt[]{81}$

a)

9

b)

$\sqrt[]{9}$

c)

3 $\sqrt[]{9}$

d)

can't simplify

11.

Simplify $\sqrt[]{144}$

a)

12

b)

4

c)

36

d)

6

12.

Simplify: $\sqrt[]{200}$

a)

10 $\sqrt[]{2}$

b)

2 $\sqrt[]{10}$

c)

50 $\sqrt[]{2}$

d)

2 $\sqrt[]{50}$

13.

Express the following in simplest radical form:

$\sqrt{a^{32}}$

a)

$a^{16}$

b)

$a^8$

c)

$a^2\sqrt{a^{16}}$

d)

$a^4\sqrt{a^8}$

14.

Express the following in simplest radical form:

$\sqrt{80}$

a)

$4\sqrt{5}$

b)

$16\sqrt{5}$

c)

$2\sqrt{20}$

d)

$4\sqrt{20}$

15.

$2\ \sqrt{7}\ -5\ \sqrt{7}$

a)

$3\sqrt{7}$

b)

$-3\sqrt{7}$

c)

$7\sqrt{7}$

16.

$2\sqrt{8}\ +\ 3\sqrt{2}$

a)

$4\sqrt{2}$

b)

$7\sqrt{2}$

c)

$5\sqrt{2}$

17.

$5\sqrt{6}\ +\ 8\ \sqrt{6}-\ 3\sqrt{6}$

a)

$10\sqrt{6}$

b)

$16\sqrt{6}$

c)

$\sqrt{6}$

18.

$_3\sqrt{81}\ +\ _3\sqrt{3}$

a)

$4_{\ \ 3}\sqrt{3}$

b)

$3\ _3\sqrt{3}$

c)

$2\ _3\sqrt{3}$

19.

$\sqrt{12}\cdot\ \sqrt{2}$

a)

$\sqrt{24}$

b)

$2\sqrt{6}$

c)

$4\sqrt{6}$

20.

$\sqrt{2x^6y^5}\cdot\ \sqrt{2x^2y}$

a)

$2x^4y^3$

b)

$4x^8y^6$

c)

$\sqrt{2x^4y^3}$

21.

$2\ \ _3\sqrt{8}\ -3\ _3\sqrt{2}$

a)

$_3\sqrt{2}$

b)

$4-_{\ 3}\sqrt{2}$

c)

$\sqrt{2}$

22.

Like radicals are radicals with the same indices and same radicands.

a)

TRUE

b)

FALSE

23.

$\sqrt{x\ }\cdot\ \sqrt{y}\ =\ \sqrt{xy}$

a)

TRUE

b)

FALSE

24.

$\sqrt{\frac{a}{b}}=\ \frac{\sqrt{a}}{\sqrt{b}}$

a)

TRUE

b)

FALSE

25.

$\frac{\sqrt{16x^5}}{\sqrt{2x}}$

a)

$\sqrt{8x^4}$

b)

$2x\sqrt{2}$

c)

$2x^2\sqrt{2}$

26.

To add and subtract radicals, add and subtract like radicals or similar radicals.

a)

TRUE

b)

FALSE

27.

$\sqrt{\frac{1}{2}}$

a)

$\frac{1}{\sqrt{2}}$

b)

$\frac{\sqrt{2}}{2}$

c)

$\frac{\sqrt{2}}{4}$

28.

$\sqrt{9x^5yz^3}\cdot\ \sqrt{2xyz}$

a)

$3x^3yz^2\ \sqrt{2}$

b)

$18x^6y^2z^4$

c)

$9x^3yz^2\ \sqrt{2}$

29.

$\frac{\sqrt{9xy}}{\sqrt{2x}}$

a)

$\frac{x\sqrt{18y}}{2x}$

b)

$\frac{\sqrt{18x^2y}}{2x}$

c)

$\frac{3\sqrt{2y}}{2}$

30.

What is the factor of x^2 + 4x + 5=?

(a)

31.

Factor Completely: x²-17x+72

a)

(x-9)(x+8)

b)

(x-9)(x-8)

c)

x(x-3)

d)

(x+9)(x+8)

32.

Factor Completely: x²-7x-8

a)

(x+1)(x-8)

b)

(x+1)(x+8)

c)

5(x+4)(x+5)

d)

(x-1)(x+8)

33.

Factor Completely: 2k²-14k-60

a)

2(k-10)(k-3)

b)

Not Factorable

c)

(k-5)(k+9)

d)

2(k-10)(k+3)

34.

Factor Completely: x⁴-9x²

a)

x²(x+3)(x-3)

b)

(x²+3x)(x²-3x)

c)

(x²+9)(x-3)(x+3)

d)

x²(x²-9)

35.

Factor Completely: x²+13x+40

a)

(x+5)(x+8)

b)

5x(x+3)

c)

3x(x+6)

d)

x(x-4)

36.

Factor Completely: 3x²+15x-72

a)

x(x+5)

b)

3(x+8)(x-3)

c)

(3x+24)(x-3)

d)

3(x-8)(x+3)

37.

Factor Completely: 16q³-48q²+36q

a)

4q(2q-3)²

b)

4q(2q+3)²

c)

4(4q³-12q²+9q)

d)

4q(2q-3)(2q+3)

38.

Factor Completely:

x² - 17x + 72

a)

(x - 9)(x + 8)

b)

(x - 9)(x - 8)

c)

x(x - 3)

d)

(x + 9)(x + 8)

39.

Factor Completely:

x²- 7x - 8

a)

(x + 1)(x - 8)

b)

(x + 1)(x + 8)

c)

5(x + 4)(x + 5)

d)

(x - 1)(x + 8)

40.

Factor Completely:

x⁴- 9x²

a)

x²(x + 3)(x - 3)

b)

(x²+ 3x)(x²- 3x)

c)

(x²+ 9)(x - 3)(x + 3)

d)

x²(x²- 9)

41.

Factor Completely:

4k²+ 24k + 36

a)

(2k + 6)²

b)

(2k - 6)²

c)

(2k - 6)(2k + 6)

d)

4(k + 3)²

42.

What are the factors of
25x² - 81?

a)

(5x - 9)(5x + 9)

b)

(5x - 9)(5x - 9)

c)

(5x + 9)(5x + 9)

d)

Cannot be factored

43.

A rectangle has an area of 2x² – 19x +45 ft². What are the dimensions of the rectangle?

a)

(2x - 9)(x - 5)

b)

(2x + 9)(x + 5)

c)

(2x - 5)(x - 9)

d)

(2x - 5)(x + 9)

44.

Factor: 27x³ + 8

a)

(3x + 2)(9x² - 6x + 4)

b)

(9x + 2)(3x² + 18x + 4)

c)

(3x²+4)(9x + 2)

d)

(27x + 8)(x² - 216x + 64)

45.

Factor completely:

9m²+ 30mn + 25n²

a)

(3m + 5n)²

b)

(3m - 5n)²

c)

(3m + n)²

d)

(m + 5n)²

46.

Solve the equation by factoring.

a)

x = {3,8}

b)

x = {-3,8}

c)

x = {3,-8}

d)

x = {-3,-8}

47.

Solve by factoring

a)

-4, 2

b)

-2, 4

c)

-16

d)

-4

48.

Solve for r:

a)

-3, 4

b)

3, 4

c)

-4, -3

d)

-3

49.

Solve the following quadratic equation: $4x^2-9=0$

a)

$x=\frac{3}{2}$ & $x=-\frac{3}{2}$

b)

$x=\frac{2}{3}$ & $x=\frac{-2}{3}$

c)

$x=\frac{9}{4}$

d)

$x=\frac{4}{9}$

50.

Determine the values of
a, b, and c for
the quadratic equation:
4x² – 8x = 3

a)

a = 4, b = -8, c = 3

b)

a = 4, b =-8, c =-3

c)

a = 4, b = 8, c = 3

d)

a = 4, b = 8, c = -3

51.

How many root/s does the polynomial equation have?

x⁴-3x²+10=0

a)

1

b)

2

c)

3

d)

4

52.

How many solution/s does the polynomial equation have?

5x³-10x²+8x+1=0

a)

1

b)

2

c)

3

d)

4

53.

Write a polynomial equation of least degree that has a leading coefficient of 1 and zeros at 1, 4, and -2.

a)

(x-1)(x-4)(x+2)=0

b)

(x+1)(x+4)(x-2)=0

c)

x³+3x²+6x+8=0

d)

x³-3x²-6x+8=0

54.

Which of the following is a COMPLETE list of all possible roots?
$x^3+5x^2-9x+5=0$

a)

1 and 5

b)

-1 and -5

c)

1, -1, 5, and -5

d)

1, -1, 5, -5, 1/5, and -1/5

55.

Is (x+5) a factor of x³+2x²-x+4=0?

a)

YES

b)

NO

56.

Solve: x²+7x+6=0

a)

{-6, -1}

b)

{2, -3}

c)

{6, 1}

d)

{-2, 3}

57.

State the leading term of the polynomial, 6x⁵+9x⁴+2x³+3x²-4x-6=0.

a)

6

b)

x⁵

c)

6x⁵

d)

9x⁴

58.

Solve the equation. x⁴+4x³+3x²=0

a)

{0, 3, 1}

b)

{3, 1}

c)

{-3, -1}

d)

{0, -3, -1}

59.

Below are four possible zeros for this polynomial.

x³+2x²-11x-12=0

Figure out which one works.

a)

-3

b)

-4

c)

1

d)

6

60.

Solve for the value of x:

(2x+5)(5x-2)=0

a)

{5/2, -2/5}

b)

{-5/2, -2/5}

c)

{-5/2, 2/5}

d)

{5/2, 2/5}

61.

Which equation matches these solutions?

x = 5, -7

a)

x²-2x-35=0

b)

x²+12x+35=0

c)

x²+12x-35=0

d)

x²+2x-35=0

62.

Solve x⁴-256=0

a)

{4, 4i}

b)

{4, -4}

c)

{4, -4, 4i}

d)

{4, -4, 4i, -4i}

63.

Find all the root/s for the polynomial equation x³-3x²-5x+15=0.

a)

$\left\{3,\ \sqrt{5}\right\}$

b)

$\left\{-3,\ \pm\sqrt{5}\right\}$

c)

$\left\{3,\ \pm\sqrt{5}\right\}$

d)

$\left\{3,\ \pm5i\right\}$

64.

Factor then solve.

x²-9x+20=0

a)

(x-4)(x-5)=0 ; x = 4, 5

b)

(x-4)(x+5)=0 ; x = 4, -5

c)

(x-10)(x-2)=0 ; x = 10, 2

d)

(x-10)(x+2)=0 ; x = 10, -2

65.

Solve: -6x-1+5x²=8x²

a)

$x=5\pm\frac{\sqrt{67}}{6}$

b)

$x=1\pm\sqrt{22}$

c)

$x=1,\ \frac{2}{7}$

d)

$x=\frac{-3\pm\sqrt{6}}{3}$

66.

Factor: x³+1

a)

(x+1)³

b)

(x+1)((x²-x+1)

c)

(x-1)(x²+x-1)

d)

(x+1)(x²-2x+1)

67.

Solve for x:

x³+9x²+20x=0

a)

{0, -4, -5}

b)

{0, -2, -5}

c)

{0, -4, -3}

d)

{0, -4, -6}

68.

Find the real or imaginary solutions to x⁴=13x²-36.

a)

$x=\pm3,\ \pm2$

b)

$x=9,\ 4$

c)

$x=\pm9,\ \pm4$

d)

$x=9,\ 4,\ 3,\ 2$

69.

Solve x³+5x²-6x-30=0.

a)

$\left\{5,\ \pm6\right\}$

b)

$\left\{-5\pm6\right\}$

c)

$\left\{-5\pm\sqrt{6}\right\}$

d)

$\left\{-5,\ \pm\sqrt{6}\right\}$

70.

Solve: x⁴+2x³-8x-16=0

a)

$x=\pm2,\ \pm\sqrt{3}$

b)

$\left\{\pm2,\ -1\pm\sqrt{3}\right\}$

c)

$x=\pm2,\ \pm\sqrt{3}i$

d)

$\left\{\pm2,\ -1\pm i\sqrt{3}\right\}$

71.

Following the pattern in the sequence 3, 10, 17, 24, 31, ... , what would be the next term?

a)

36

b)

37

c)

38

72.

Give the next term in the sequence 1, 4, 9, 16, 25, ...

a)

36

b)

49

c)

64

73.

How many terms are in the sequence 15, 11, 7, 3, -1, -5, ...?

a)

5

b)

6

c)

infinitely many

74.

Identify the common difference. 97, 86, 75, 64, ...

a)

-8

b)

11

c)

-11

75.

The next two terms of the sequence 4,7,10,13 are ....

a)

15 and 19

b)

16 and 18

c)

16 and 19

76.

Find the 22nd term of the following sequence: 5, 8, 11, ...

a)

14

b)

63

c)

68

77.

Find the 25th term of the sequence if a1 = 5 and d = 0.5

a)

14

b)

15

c)

17

78.

Find S_nfor the given series: a1=22, d=-8, n=21

a)

-1218

b)

-1449

c)

-2436

79.

What does the arithmetic mean between 9 and -3 ?

a)

-3

b)

3

c)

6

80.

Find the common ratio of the geometric sequence, −3, 6, −12, 24, ....

a)

-2

b)

2

c)

3

81.

Find the sum of the n terms when a1= 4 , r = -5 and n = 4

a)

-416

b)

416

82.

Build the series knowing that it has 5 terms, starts with -2 and has a common ratio of -4.

a)

2 + 8 + 32 + 128 + 512

b)

-2 + 8 + 32 - 128 + 512

c)

-2 + 8 - 32 + 128 - 512

83.

What is the sum of the first 50 terms of the series 2 + 17 + 32 + 47 + ...?

a)

1,600

b)

18,235

c)

18,475

d)

19,125

84.

The next two terms of the sequence 8,4,2,1, 1/2 are

a)

1/3 and 1/4

b)

1/4 and 1/8

c)

1/8 and 1/6

d)

1/5 and 1/7

85.

Find the next three terms: 3, -18, 108, -648

a)

-6480, -3880, -233280

b)

6480, -38880, 233280

c)

5184, -31104, 186624

d)

3888, -23328, 139968

86.

Find the 22nd term of the following sequence:
5, 8, 11, ...

a)

14

b)

68

c)

63

d)

71

87.

Identify the common difference.
97, 86, 75, 64, ...

a)

8

b)

11

c)

-11

d)

-8

88.

Which kind of sequence has a common difference?

a)

Arithmetic

b)

Geometric

89.

What kind of sequence is illustrated below?
400, 200, 100, 50, 25, ...

a)

Arithmetic

b)

Geometric

c)

Neither

90.

What is the common ratio for the sequence:
28, 14, 7, 3.5...

a)

2

b)

1/2

c)

-14

d)

-7

91.

Find the 25th term of the sequence if a₁ = 5 and d = 0.5

a)

18

b)

17

c)

15

d)

14

92.

The next two terms of the sequence 4,7,10,13 are ....

a)

16 and 19

b)

15 and 19

c)

16 and 18

d)

15 and 18

93.

Which of the following illustrates an arithmetic sequence?

a)

3, 6, 9, 12, 15

b)

2, 4, 8, 16, 32

c)

5, 11, 16, 21, 30

d)

1, 1, 2, 3, 5

94.

Find the arc length. Leave your answer in terms of π.

a)

7/4π

b)

7/2π

c)

1/8π

d)

45π

95.

Find the arc length of the bolded arc. Give your answer in terms of π.

a)

(65/12)π cm

b)

17.02 cm

c)

(845/24)π cm

d)

26π cm

96.

A ____ angle is an angle whose vertex is a the center of a circle.

a)

supplementary

b)

complimentary

c)

central

d)

obtuse

97.

In circle O, the radius is 4, and the length of minor arc AB is 4.2 feet. Find the measure of minor arc AB to the nearest degree.

a)

90

b)

60

c)

55

d)

113

98.

Find the length of the bold arc.Leave pi in your answer.

a)

5688π ft

b)

15.8π ft

c)

150.4π ft

d)

54,150 ft

99.

Find the area of the dark blue sector shown at the left. The radius of the circle is 4 units and the length of the arc (the curved edge of the sector) measures 7.85 units. Express answer to thenearest tenth of a square unit.

a)

0.3 square units

b)

15.7 square units

c)

19.7 square units

d)

50.3 square units

100.

Find the area of the shaded sector of circle O. The radius is 6 inches and the central angle is 100°. Express answer to the nearest tenth of a square inch.

a)

9.2 sq. in.

b)

10.5 sq. in.

c)

31.4 sq. in.

d)

38.2 sq. in.

101.

A region bounded by two radii of the circle and their intercepted arc is a ....

a)

arc of a circle

b)

arc length of a circle

c)

sector of a circle

d)

segment of a circle

102.

Area of a circle.

a)

A=πr²

b)

A=2πr

103.

What is the area of the shaded region? Round to the nearest hundredth.

a)

1.26

b)

452.39

c)

113.10

d)

40715.04

104.

Find the area of the blue shaded sector.

a)

37.70 cm²

b)

6.28 cm²

c)

28.27 cm²

d)

9.42 cm²

105.

Find the length of the arc to 2dp

a)

25.12cm

b)

12.57cm

c)

628.32cm

d)

31.42cm

106.

Find the length of the arc to 2dp

a)

1.95cm

b)

3.91cm

c)

0.98cm

d)

2.93cm

107.

The distance along an arc measured in linear units.

a)

area of a sector

b)

arc length

c)

arc of a circle

d)

sector of a circle

108.

Find the length of the arc to 2dp

a)

9.42cm

b)

150.80cm

c)

4.71cm

d)

18.85cm

109.

1. Which is the largest chord of a circle?

a)

A. diameter

b)

B. radius

c)

C. secant

d)

D. tangent

110.

2. A line segment from any point on the circle to its center

a)

A. diameter

b)

B. radius

c)

C. secant

d)

D. tangent

111.

3. A line that intersects the circle at exactly one point.

a)

A. tangent

b)

B. secant

c)

C. radius

d)

D. chord

112.

4.𝐴𝐶̅̅̅̅ is a diameter of circle O. 𝐴𝐵𝐶 ̂is called _______?

a)

A. chord

b)

B. major arc

c)

C. minor arc

d)

D. semicircle

113.

5. What kind of arc is 𝐴𝐶𝐵 ̂?

a)

A. chord

b)

B. major arc

c)

C. minor arc

d)

D. semicircle

114.

6. If 𝐵𝐶̂ measures 135⁰, then the measure of 𝐴𝐵̂ is ______.

a)

A. 65⁰

b)

B. 55⁰

c)

C. 45⁰

d)

D. 35⁰

115.

7. What is the arc intercepted by ∠AOD?

a)

A. arc 𝐴𝑂̂

b)

B. arc 𝐴𝐷̂

c)

C. arc 𝑂𝐷̂

d)

D. arc 𝐴𝑂𝐷 ̂

116.

8. If ∠AOD = 120⁰, then 𝐴𝐷̂ measures _____.

a)

A. 120⁰

b)

B. 100⁰

c)

C. 80⁰

d)

D. 60⁰

117.

9. The measure of 𝐶𝐷̂ is 72⁰, what is the measure of ∠CAD?

a)

A. 144⁰

b)

B. 72⁰

c)

C. 36⁰

d)

D. 18⁰

118.

10. If the m𝐴𝐵̂ = 128⁰, then the measure of ∠ACB is _____.

a)

A. 52⁰

b)

B. 64⁰

c)

C. 90⁰

d)

D. 128⁰

119.

Which refers to 'the chance of an event happening'?

a)

Statistics

b)

Probability

c)

Possibility

d)

Event

120.

In tossing a coin 3 times, which is the TOTAL number of possibilities?

a)

3

b)

6

c)

8

d)

12

121.

In tossing a coin 3 times, which among these is NOT a possible result?

a)

HHH

b)

TTT

c)

TAT

d)

THT

122.

In tossing a coin 3 times, what is the probability of getting 'successive similar results?

a)

1/8

b)

1/4

c)

3/8

d)

1/2

123.

In tossing a coin 3 times, what is the probability of getting alternating results?

a)

1/8

b)

1/4

c)

3/8

d)

1/2

124.

In a standard deck of cards, what is the probability of getting a spade?

a)

1/5

b)

1/4

c)

1/3

d)

1/2

125.

Which of these pairs of events are MUTUALLY EXCLUSIVE?

a)

Red card or heart

b)

Black card or spade

c)

Lettered card or Ace

d)

Diamond or Heart

126.

Which of these pairs show NON-MUTUALLY EXCLUSIVE EVENTS?

a)

Mother or Father

b)

Brother or Sister

c)

Son or Daughter

d)

Teacher or Male

127.

Which refers to events where one has to happen first before the second one occurs?

a)

Dependent

b)

Independent

c)

Mutually Exclusive

d)

Non-Mutually Exclusive

128.

Which pair shows INDEPENDENT EVENTS?

a)

Monday or Tuesday

b)

January or February

c)

1:00 or 2:00

d)

Birthday or Christmas

129.

In the division algorithm P(x) = D(x) • Q(x) + R(x), what is the dividend?

a)

P(x)

b)

D(x)

c)

Q(x)

d)

R(x)

130.

Find the remainder when x³ - 2x² + 4x – 3 is divided by x – 2.

a)

27

b)

5

c)

-5

d)

-27

131.

If x³ - 2x² - 5x + 6 is divided by x – 1, the remainder is zero.

a)

True

b)

False

c)

Cannot be determined

d)

Neither

132.

What is the degree of the polynomial x + 8?

a)

1

b)

2

c)

3

d)

4

133.

What are the factors of x² – 2x – 24?

a)

(x + 4) (x – 6)

b)

(x -8) (x + 3)

c)

(x -12) (x+ 1)

d)

(x + 12) (x – 12)

134.

If a fifth-degree polynomial is divided by a third-degree polynomial, what is the degree of the quotient?

a)

1

b)

2

c)

3

d)

4

135.

The degree of the polynomial determines the number of roots.

a)

True

b)

False

136.

This polynomial would have how many roots?

f(x) = 4x⁵ - 3x⁴ + 2x² - 7x + 1

a)

7

b)

5

c)

4

d)

1

137.

What is the leading coefficient of the function:

f(x) = 6x² + 4 - 3x⁴ + 5x - 9x³

a)

6

b)

3

c)

-3

d)

4

138.

If f(x) = 4x³ + 5x² - 3, find f(-2).

a)

-415

b)

-15

c)

-55

d)

-615

139.

Evaluate: f(4) = -2x² + 3x - 8

a)

-28

b)

68

c)

36

d)

-60

140.

$x^5+3x^2-4x+120$ has how many total possible negative real solutions?

a)

4

b)

3

c)

2

d)

1

e)

5

141.

How many positive real solutions does the following polynomial have?

f(x) =3x⁵ - x⁴ + 3x² - 6x +11

a)

4, 2, or 0

b)

4

c)

3 or 1

d)

3

142.

How many possible negatives real solutions does the following polynomial have?

f(x) = x⁴ - 3x³ - 17x² + 39x -20

a)

3 or 1

b)

3

c)

1

d)

2 or 0

143.

Which of the following is a COMPLETE list of all possible Rational Zeros?
f(x) = x³ + 2x² - 6x + 8

a)

±1, ±8

b)

±1, ±2, ±4, ±8

c)

±1, ±2, ±4

d)

1, 2, 4, 8

144.

Find the standard form of the equation of the circle given the center C(0,0) r=5

a)

$\left(x-0\right)^2+\ \left(y-0\right)^2=25$

b)

$\left(x-0\right)^2+\left(y-2\right)^2=25$

145.

Find the standard form of the equation of the circle given that the center C (0,2) r= 10

a)

$\left(x-2\right)^2+\left(y-0\right)^2=\ 100$

b)

$\left(x-0\right)^2+\left(y-2\right)^2=\ 100$

146.

What is the standard form of the equation of the circle if the center is (2,3) passing through (3,6)

a)

$\left(x-2\right)^2+\left(y-3\right)^2=10$

b)

$\left(x-3\right)^2+\left(y-6\right)^2=100$

147.

Find the general form of the equation of the circle given the center C(0,0) r= 5

a)

$x^2+y^2-25=0$

b)

$x^2+y^2-5=0$

148.

What is the general form of the equation of the circle if the center is (2,3) passing through (3,6)

a)

$x^2+y^2-4y-96=0$

b)

$x^2+y^2-4x-6y+3=0$

149.

Find the center and radius of the circle given

\left(x-2\right)^2+\left(y-5\right)^2=100

a)

C (2,5) r= 10

b)

C (-2, -5) r= 100

150.

What is the center and radius of the equation

x^2+\left(y+5\right)^2=100

?

a)

C (0, 5) r= 100

b)

C (0, -5) r= 10

151.

How is AB written in the distance formula?

a)

$d\ =\ \sqrt{\left(5-3\right)^2\ +\ \left(0--2\right)^2}$

b)

$d\ =\ \sqrt{\left(2-5\right)^2\ +\ \left(3\ -0\right)^2}$

c)

$d\ =\ \sqrt{\left(5-3\right)^2\ -\ \left(0--2\right)^2}$

d)

$d\ =\ \sqrt{\left(4-3\right)^2\ -\ \left(2-4\right)^2}$

152.

Find the distance between (-12, 1) and (12, -1).

a)

24.05

b)

24.06

c)

24.07

d)

24.08

153.

Find the distance between (-5, -8) and (-1, -16).

a)

8.9

b)

9.8

c)

10.3

d)

11

154.

Find the distance between (3, 24) and (7, 56).

a)

32.1

b)

32.2

c)

32.3

d)

32.4

155.

Find the distance between (-4, 5) and (7, 18).

a)

15.96

b)

16.08

c)

16.23

d)

17.03

156.

What is the distance between the two points?

a)

6.3

b)

6.5

c)

6.7

d)

16

157.

Which of the following could represent the missing coordinates of P in rectangle KPWA?

a)

(0, c)

b)

(x, y)

c)

(x, c)

d)

(c, c)

158.

Which option could be used to prove a quadrilateral is a parallelogram?

a)

Both pairs of opposite sides are congruent

b)

Diagonals are congruent

c)

One pair of opposite sides are congruent

d)

Both pairs of opposite sides are congruent and diagonals are congruent

159.

Which option could be used to prove a quadrilateral is a square?

a)

All sides are congruent

b)

Diagonals are congruent

c)

All sides are congruent and diagonals are congruent

d)

Opposite sides are parallel

160.

Given ABCD is a parallelogram, what are the coordinates of point C?

a)

(3c,b)

b)

(a+c,b)

c)

(2a-c,b)

d)

(a+2c,b)

161.

The coordinates of origin are _______

a)

(0,1)

b)

(1,0)

c)

(0,0)

d)

(1,1)

162.

Which is the correct equation of a circle that is centered at the origin (0,0) and has a radius of 2?

a)

x² + y² = 2

b)

x² + y² = 3

c)

x² + y² = 4

d)

(x - 2)² + (y - 2)² = 4

163.

Which is the correct equation of a circle centered at (2, -4) and has a radius of 4?

a)

(x - 2)² + (y + 4)² = 4

b)

(x - 2)² + (y + 4)² = 16

c)

(x + 2)² + (y - 4)² = 4

d)

(x + 2)² + (y - 4)² = 16

164.

Which is the correct equation of a circle whose centered at (-1, -5) and has a radius of 5?

a)

(x + 1)² + (y - 5)² = 25

b)

(x - 1)² + (y - 5)² = 25

c)

(x - 1)² + (y + 5)² = 25

d)

(x + 1)² + (y + 5)² = 25

165.

Which is the correct equation of the given circle?

a)

(x + 2)² + (y + 1)² = 2

b)

(x + 2)² + (y + 1)² = 4

c)

(x - 2)² + (y - 1)² = 2

d)

(x - 2)² + (y - 1)² = 4

166.

Which is the correct equation of the given circle?

a)

(x + 1)² + (y - 3)² = 9

b)

(x - 1)² + (y + 3)² = 9

c)

(x + 1)² + (y + 3)² = 9

d)

(x - 1)² + (y - 3)² = 9

167.

Which graph has the equation

x²+ (y - 3)² = 4

a)

b)

c)

d)

168.

How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

a)

15

b)

40

c)

80

d)

10

169.

A bakery has a selection of 20 different cupcakes, 10 different donuts, and 15 different muffins — how many different orders are there?

a)

3000

b)

300

c)

30

d)

45

170.

Harry went to a food restaurant, and he wants to order a combo deal that includes a pizza, drink, and dessert. The following choices are available:

Pizza: Chicken Fajita and Vegetable

Drink: Pepsi and 7-Up

Dessert: Ice-cream and Pie

a)

8

b)

7

c)

6

d)

5

171.

Find the missing length indicated.

a)

6

b)

10

c)

5

d)

12

172.

Solve for x.

a)

25

b)

10

c)

-10

d)

-25

173.

Find the value of x.

a)

10

b)

35

c)

8

d)

None of these

174.

Find the value of x.

a)

6

b)

12

c)

8

d)

None of these

175.

QR is a midsegment of triangle WUV. What is the length of segment QR?

a)

4

b)

8

c)

16

d)

32

176.

QR is a midsegment of triangle WXY. What is the length of segment WY?

a)

3

b)

6

c)

9

d)

12

177.

QR is a midsegment of triangle FGH. Solve for the value of x?

a)

5.5

b)

11

c)

-5.5

d)

-11

178.

QR is a midsegment of triangle BCD. Solve for the value of x.

a)

11

b)

18

c)

9

d)

-7

179.

Find x.

a)

4

b)

6

c)

8

d)

12

180.

Find x.

a)

12

b)

16

c)

24

d)

30

181.

Find x.

a)

9√11

b)

32√11

c)

16√22

d)

8√22

182.

Find x.

a)

10

b)

74

c)

7

d)

25

183.

Find x. Have your answers in Radical form (if there is). Use "sqrt" for square root.

a)

81

b)

9

c)

9√95

d)

95

184.

Find x. Have your answers in Radical form (if there is). Use "sqrt" for square root.

a)

3√474

b)

54

c)

29

d)

9√6

185.

Find x. Have your answers in Radical form (if there is). Use "sqrt" for square root.

a)

10

b)

15

c)

20

d)

25

186.

Find the value of x.

a)

36

b)

108

c)

100

d)

169

187.

Which is a property of a rhombus?

a)

Diagonals are congruent.

b)

It has four right angles

c)

its diagonals are perpendicular.

d)

All of the given.

188.

Which of these is a property of the diagonals of a parallelogram?

a)

Diagonals bisect each other.

b)

Diagonals are congruent.

c)

Diagonals are parallel.

d)

Diagonals are perpendicular.

189.

For parallelogram EFGH, solve for x.

a)

3

b)

6

c)

9

d)

12

190.

For parallelogram EFGH, solve for FH

a)

2

b)

8

c)

23

d)

38

191.

For parallelogram EFGH, solve for FU.

a)

19

b)

25

c)

32

d)

38

192.

All rectangles are quadrilaterals.

a)

TRUE

b)

FALSE

193.

A parallelogram has how many sets of parallel lines?

a)

0

b)

1

c)

2

d)

3

194.

What is the most specific name for the shape?

a)

rhombus

b)

parallelogram

c)

rectangle

d)

trapezoid

195.

All rectangles are parallelograms.

a)

TRUE

b)

FALSE

196.

All parallelograms are rectangles.

a)

TRUE

b)

FALSE

197.

Which property is NOT true of rhombuses?

a)

4 sided polygon

b)

4 congruent sides

c)

4 right angles

d)

2 sets of parallel sides

198.

Which figure(s) ALWAYS have opposite sides that are parallel and opposite angles that are congruent?

a)

quadrilateral

b)

trapezoid

c)

parallelogram

d)

rectangle

199.

A square is ...

a)

a parallelgram

b)

a rectangle

c)

a rhombus

200.

Squares are rectangles.

a)

Always

b)

Sometimes

c)

Never

201.

Rectangles are squares.

a)

Always

b)

Sometimes

c)

Never

202.

Trapezoids are rectangles.

a)

Always

b)

Sometimes

c)

Never

203.

3 angles of a quadrilateral are 110, 120 and 50. What is the measure of the 4th angle?

a)

60

b)

70

c)

80

d)

130

204.

The figure is a parallelogram.

Solve for x.

a)

7

b)

2

c)

4

d)

9

205.

Which property is shown in the parallelogram that makes it a rhombus?

a)

Diagonals are perpendicular to each other

b)

Diagonals are congruent to each other

c)

Diagonals are bsiect each other

d)

Adjacent sides are perpendicular

206.

Which property is shown in the parallelogram that makes it a rhombus?

a)

Opposite sides are congruent

b)

Diagonals are perpendicular to each other

c)

Adjacent sides are congruent

d)

Diagonals are congruent

207.

Which property is shown in the parallelogram that makes it a rhombus?

a)

Diagonals are perpendicular to each other

b)

Diagonals bisect each other

c)

Diagonals bisect their respective angles

d)

Diagonals are congruent

208.

In rhombus TIGE, diagonals TG and IE intersect at R. The perimeter of TIGE is 68, and IE = 30. What is the length of diagonal TG?

a)

8

b)

16

c)

15

d)

17

209.

The diagram below shows parallelogram ABCD with diagonals AC and BD intersecting at E. What additional information is sufficient to prove that parallelogram ABCD is also a rhombus?

a)

AB is parallel to CD

b)

AC is congruent to BD

c)

BD bisects AC

d)

AC is perpendicular to BD

210.

The diagram below shows parallelogram ABCD with diagonals AC and BD intersecting at E. What additional information is sufficient to prove that parallelogram ABCD is also a rectangle?

a)

AC is perpendicular to BD

b)

AC bisects BD

c)

AC is congruent to BD

d)

AC and BD bisect their respective angles

211.

A parallelogram is a rectangle if

a)

Adjacent sides are perpendicular

b)

Diagonals are perpendicular

c)

Opposite sides are congruent

d)

Opposite angles are congruent

212.

A parallelogram is a rhombus if

a)

Diagonals are congruent

b)

Diagonals bisect each other

c)

Opposite sides are congruent

d)

Diagonals bisect their respective angles

213.

If the figure is a rectangle, the value of x is...

a)

2

b)

12

c)

13

d)

28

214.

Which of the following is not a prallelogram?

a)

kite

b)

rectangle

c)

rhombus

d)

square

215.

Consecutive angles of a parallelogram are _________.

a)

complementary

b)

supplementary

c)

congruent

d)

perpendicular

216.

A quadrilateral with two distinct pairs of congruent and adjacent sides

a)

kite

b)

parallelogram

c)

square

d)

trapezoid

217.

The diagonals in a kite __________.

a)

are congruent

b)

are supplementary

c)

are perpendicular

d)

are parallel

218.

A trapezoid whose non parallel sides are of the same length

a)

congruent trapezoid

b)

equilateral trapezoid

c)

isosceles trapezoid

d)

none of the three

219.

It is a quadrilateral with one pair of parallel sides

a)

kite

b)

parallelogram

c)

rhombus

d)

trapezoid

220.

What properties do ALL trapezoids have?

a)

Congruent diagonals

b)

One pair of opposite sides that are parallel

c)

Four right angles

d)

Opposite angles that are congruent

221.

Which of the following does NOT describe a median of a trapezoid?

a)

It is half the sum of the length of bases

b)

It is parallel to the base

c)

It is a segment that joints the midpoints of the legs

d)

It is parallel to the legs

222.

PQRS is an isosceles trapezoid. Find the value of x.

a)

4

b)

5

c)

6

d)

7

223.

ADCB is a trapezoid. Find the value of x.

a)

7

b)

8

c)

85

d)

96

224.

Solve for Angle 1 and Angle 2.

a)

1= 92 degrees & 2 = 46 degrees

b)

1 = 118 degrees & 2 = 118 degrees

c)

1 = 92 degrees & 2 = 92 degrees

d)

1 = 46 degrees & 2 = 190 degrees

225.

Which of the following statements is false?

a)

BD and AC are perpendicular

b)

BD and AC are congruent

c)

∠A and ∠C are congruent

d)

BD bisects AC

226.

A trapezoid whose non parallel sides are of the same length

a)

congruent trapezoid

b)

equilateral trapezoid

c)

isosceles trapezoid

d)

none of the three

227.

A quadrilateral with two distinct pairs of congruent and adjacent sides

a)

kite

b)

parallelogram

c)

square

d)

trapezoid

228.

Which of the following statements is false?

a)

BD and AC are perpendicular

b)

BD and AC are congruent

c)

∠A and ∠C are congruent

d)

BD bisects AC

229.

Which statement is true about trapezoids?

a)

All trapezoids are quadrilaterals.

b)

All quadrilaterals are trapezoids.

c)

All trapezoids are rectangles.

d)

All trapezoids are squares.

230.

The legs of an isosceles trapezoid are _____.

a)

parallel

b)

perpendicular

c)

congruent

d)

skew

231.

Find the value of x.

a)

23

b)

28

c)

30

d)

Cannot be determined

232.

Find the missing base.

a)

6.6

b)

7.7

c)

8.8

d)

9.9

233.

WXYZ is a trapezoid. Find the value of x.

a)

3

b)

5

c)

7

d)

9

training

Total questions: 233

Worksheet time: 7hrs 11mins

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