Free Printable Quarter 1 Exam

1.

The 6th term in the arithmetic sequence

18, 11, 4, …

a)

-3

b)

-10

c)

-17

d)

-24

2.

Which of the following is NOT an arithmetic sequence?

a)

48, 24, 12, 6, 3, ...

b)

3, 7, 11, 15, 19, ...

c)

1, $\frac{1}{2}$ , 0, $-\frac{1}{2}$ , ...

d)

1, 0, -1, -2, -3, ...

3.

It is a sequence that has a common difference.

a)

Arithmetic Means

b)

Arithmetic Sequence

c)

Arithmetic Series

d)

Arithmetic Pattern

4.

These are terms between any two non-consecutive terms of an arithmetic sequence.

a)

Arithmetic Means

b)

Arithmetic Sequences

c)

Arithmetic Series

d)

Arithmetic Pattern

5.

A theater has 32 rows of seats. If there are 26 seats in the 1st row, 30 in the 2nd, 34 in the 3rd, and so on, how many seats are there in all? Assume the pattern continues.

a)

2,791 seats

b)

2,803 seats

c)

2,816 seats

d)

2.829 seats

6.

It is the sum of definite number of terms of an arithmetic sequence

a)

Arithmetic Means

b)

Arithmetic Sequence

c)

Arithmetic Series

d)

Arithmetic Patterns

7.

Is the sequence arithmetic: 78, 785, 7855, 78555, ...

a)

Yes

b)

No

8.

What is the 7th term in the sequence

7, 11, 15, … ?

a)

30

b)

31

c)

32

d)

33

9.

Find the next three terms in the arithmetic sequence: -3, -8, -13, -18, ...

a)

-20, -24, -28

b)

-21, -25, -29

c)

-23, -28, -33

d)

-24, -29, -32

10.

Find the 26th term in the arithmetic sequence: 20, 26, 32, 38, ...

a)

182

b)

176

c)

170

d)

-118

11.

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

a)

18

b)

17

c)

15

d)

14

12.

Determine the sum of the arithmetic series written in Sigma Notation.

a)

5400

b)

2692

c)

2700

d)

2704

13.

Find the sum of the arithmetic series.

a)

20

b)

-25

c)

25

d)

28

14.

a)

149

b)

11,200

c)

5,600

d)

140

15.

What is the 7th term in the sequence

7, 11, 15, … ?

a)

30

b)

31

c)

32

d)

33

16.

The 6th term in the arithmetic sequence

18, 11, 4, …

a)

-3

b)

-10

c)

-17

d)

-24

17.

It is a sequence that has a common difference.

a)

Arithmetic Means

b)

Arithmetic Sequence

c)

Arithmetic Series

d)

Arithmetic Pattern

18.

What is the common difference inthe sequence -7, -5, -3, -1, … ?

a)

1/2

b)

-1/2

c)

2

d)

-2

19.

Which of the following is NOT an arithmetic sequence?

a)

48, 24, 12, 6, 3, ...

b)

3, 7, 11, 15, 19, ...

c)

1, $\frac{1}{2}$ , 0, $-\frac{1}{2}$ , ...

d)

1, 0, -1, -2, -3, ...

20.

Insert 5 arithmetic means in the sequence -3, ___, ___, ___, ___, ___, 12

a)

b)

c)

d)

21.

These are terms between any two non-consecutive terms of an arithmetic sequence.

a)

Arithmetic Means

b)

Arithmetic Sequences

c)

Arithmetic Series

d)

Arithmetic Pattern

22.

A theater has 32 rows of seats. If there are 26 seats in the 1st row, 30 in the 2nd, 34 in the 3rd, and so on, how many seats are there in all? Assume the pattern continues.

a)

2,791 seats

b)

2,803 seats

c)

2,816 seats

d)

2.829 seats

23.

It is the sum of definite number of terms of an arithmetic sequence

a)

Arithmetic Means

b)

Arithmetic Sequence

c)

Arithmetic Series

d)

Arithmetic Patterns

24.

Which of the following is the correct formula for finding the Arithmetic Series?

a)

$S_n=2n\left(a_1\cdot a_n\right)$

b)

$S_n=2n\left(a_1+a_n\right)$

c)

$S_n=\frac{n}{2}\left(a_1\cdot a_n\right)$

d)

$S_n=\frac{n}{2}\left(a_1+a_n\right)$

25.

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

a)

8

b)

11

c)

-11

d)

-8

26.

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

a)

18

b)

17

c)

15

d)

14

27.

Given the sequence: 25, 21, 17, 13,... Write the explicit equation that models the sequence.

a)

a_n = 4n + 29

b)

a_n = - 4n + 25

c)

a_n= - 4n + 29

d)

a_n = 4n + 25

28.

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

29.

Find a₂₆ in the arithmetic sequence: -15, -35, -55, -75, ...

a)

-515

b)

-490

c)

-535

d)

460

30.

Find the sum of the arithmetic series described:

2 + (-2) + (-6) + (-10)..., S₁₀

a)

-160

b)

-328

c)

-320

d)

-336

31.

The sequence 28, 34, 40, 46, 52, ..., 88 has 11 terms. Find the sum of the 11 terms.

a)

550

b)

638

c)

610

d)

288

32.

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

a)

14

b)

68

c)

63

d)

71

33.

Is the sequence arithmetic: 17, 9, 1, -7, ...

a)

Yes

b)

No

34.

a₁=5, a₂=11, a₁₅=?

a)

95

b)

89

c)

81

d)

159

35.

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

a)

8

b)

11

c)

-11

d)

-8

36.

Given the sequence:

25, 21, 17, 13,...

Write the explicit equation that models the sequence. HINT: It is an arithmetic Sequence

a)

a_n = 4n + 29

b)

a_n = - 4n + 25

c)

a_n= - 4n + 29

d)

a_n = 4n + 25

37.

Find the 22nd term of the following arithmetic sequence:

5, 8, 11, ...

a)

14

b)

68

c)

63

d)

71

38.

Evaluate the arithmetic series described: a₁ = 12, a_n = 64, Find S₁₄

a)

1082

b)

532

c)

541

d)

1064

39.

Evaluate: $\sum_{x=2}^{11}\left(5x-2\right)$

a)

305

b)

503

c)

53

d)

8

40.

For a certain arithmetic sequence, $d=4$ and $a_{30}=57.$ What is a rule for the nth term of the sequence?

a)

$a_n=-63-4n$

b)

$a_n=-59-4n$

c)

$a_n=-63+4n$

d)

$a_n=-59+4n$

41.

Find the missing terms of the arithmetic sequence:
145, ___, ___, ___, 205

a)

160, 175, 190

b)

165, 185, 195

c)

155, 165, 175

d)

190, 175, 160

42.

Find the sum
24+48+72+...+480

a)

5280

b)

9576

c)

10080

d)

5040

43.

You are sitting in row 23 and notice there are 65 seats in your row. The row in front of you has 63 seats and the row behind you has 67 seats. There are 42 rows in the auditorium. How many seats does the auditorium contain? (Hint: Find the number of seats in the first and last rows)

a)

2,604

b)

2,163

c)

2,422

d)

2,803

44.

Find S₁₄
7, 2, -3, ...

a)

-812

b)

119

c)

-945

d)

-357

45.

After knee surgery, your trainer tells you to return to your jogging program slowly. He suggests jogging for 12 minutes each day for the first week. Each week thereafter, he suggests that you increase that time by 6 minutes per day.

What are the first term and the common difference?

a)

the first term 6 and common difference 12

b)

the first term 12 and common difference 6

c)

the first term 6 and common difference -6

d)

the first term 12 and common difference 12

46.

Determine the sum of the series written in Sigma Notation.

a)

3174

b)

1590

c)

3180

d)

6356

47.

Find the sum of the first 100 positive odd integers.

a)

10,000

b)

5,000

c)

15,000

48.

What is the sum of the first 8 terms of the geometric sequence: 1 , 3 , 9 , 27 , . . . ?

a)

3,260

b)

3,270

c)

3,280

d)

3,290

49.

What is the sum of the first ten terms of the sequence 4, -12, 36, -144 . . . ?

a)

59,050

b)

-59,048

c)

-78,732

d)

118,096

50.

Find the next three terms of the geometric sequence: -4, -12, -36, -108, . . .

a)

36, -108, 324

b)

-324, -972, -2916

c)

324, -972, 2916

d)

-108, 324, -972

51.

Find the sum of the geometric series.

2 + 12 + 72 + 432

a)

432

b)

518

c)

211

d)

438

52.

What is the sum of the first ten terms of the sequence 4, -12, 36, -144 . . . ?

a)

59,050

b)

-59,048

c)

-78,732

d)

118,096

53.

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

a)

416

b)

-416

c)

775

d)

-775

54.

Which sequence is represented by the equation 2(7)^n-1 ?

a)

7, 14, 28, 56...

b)

2, 14, 98, 686...

c)

2, 9, 16, 23...

d)

7,9,11,13...

55.

Which of the following represents the SUM of a geometric series with 8 TOTAL terms and whose FIRST TERM is 3 and whose COMMON RATIO is 4?

a)

32,756

b)

42,560

c)

28,765

d)

65,535

56.

Find S₈ for: -1 - 3 - 9 - 27...

a)

-3280

b)

-3135

c)

-3323

d)

-3343

57.

Find the sum of the first 25 terms of the series: 6+14+22+30+...

a)

450

b)

2550

c)

2650

d)

550

58.

Is the given sequence geometric?

a)

Yes

b)

No

c)

Cannot be determined

59.

Is the given sequence geometric?

a)

Yes

b)

No

c)

Cannot be determined

60.

List the first five terms of the geometric sequence. Assume that the sequence begins at n = 1.

a)

1 , 3 , 6 , 9 , 12

b)

3 , 9 , 27 , 81 , 243

c)

0 , 1 , 3 , 9 , 27

d)

1 , 3 , 9 , 27 , 81

61.

List the first five terms of the geometric sequence. Assume that the sequence begins at n = 1.

a)

2 , 1/2 , 1/8 , 1/32 , 1/128

b)

1/2 , 1/8 , 1/32 , 1/128 , 1/256

c)

8 , 2 , 1/2 , 1/8 , 1/32

d)

2 , 8 , 32 , 128 , 256

62.

What is the sum of the first TEN terms of the geometric series with r = 3 and first term 0.5 ?

a)

14762

b)

14000

c)

147

d)

546.5

63.

The n^th term of a geometric sequence is given by ...

a)

b)

c)

d)

64.

The sum of an finite Geometric series is given by:

a)

b)

c)

d)

65.

The sum of an infinite Geometric series is given by:

a)

b)

c)

d)

66.

Is the given sequence geometric?

a)

Yes

b)

No

c)

Cannot be determined

67.

Is the given sequence geometric?

a)

Yes

b)

No

c)

Cannot be determined

68.

List the first five terms of the geometric sequence. Assume that the sequence begins at n = 1.

a)

1 , 3 , 6 , 9 , 12

b)

3 , 9 , 27 , 81 , 243

c)

0 , 1 , 3 , 9 , 27

d)

1 , 3 , 9 , 27 , 81

69.

List the first five terms of the geometric sequence. Assume that the sequence begins at n = 1.

a)

2 , 1/2 , 1/8 , 1/32 , 1/128

b)

1/2 , 1/8 , 1/32 , 1/128 , 1/256

c)

8 , 2 , 1/2 , 1/8 , 1/32

d)

2 , 8 , 32 , 128 , 256

70.

What is the 8^th term in the geometric sequence ?

a)

49,152

b)

196,608

c)

12,288

d)

8748

71.

What is the 8^th term in the geometric sequence ?

a)

32,768

b)

32, 876

c)

68,327

d)

73,268

72.

Given the recursive formula for a geometric sequence, find the first five terms and the explicit formula.

a)

2 , 10 , 50 , 250 , 1250

b)

2 , 7 , 12 , 17 , 22

c)

1 , 2, 10, 50, 250

d)

e)

73.

Evaluate.

a)

-239,945

b)

-293,495

c)

-299,354

d)

-329,945

74.

Determine the number of terms, n , for the given finite geometric sequence.

a)

6

b)

5

c)

4

d)

3

75.

Does the series converge or diverge ?

a)

Converge

b)

Diverge

c)

Cannot be determined

76.

Evaluate the geometric series, if possible.

a)

5/2

b)

2/5

c)

4

d)

Not Possible

77.

Evaluate the geometric series, if possible.

a)

12/7

b)

7/12

c)

2

d)

Not Possible

78.

Evaluate the geometric series, if possible.

a)

3/2

b)

2/3

c)

6

d)

Not Possible

79.

Simplify.

a)

3w³ - 2w + 4

b)

-3w³ - 2w + 4

c)

3w³ + 2w + 4

d)

-3w³ - 2w - 4

80.

Simplify.

a)

x - 3xy + 2

b)

x + 3xy + 2

c)

x - 3xy - 2

d)

-x - 3xy - 2

81.

Divide the polynomial by the monomial.

a)

2x⁸-8x²-28x

b)

2x⁸-2x²-7x

c)

8x⁷-8x-28x

d)

2x⁷-2x -7

82.

Divide the polynomial by the monomial.

a)

15x⁹ - 8x³

b)

3x⁶ - 8x³

c)

-5x¹²

d)

3x⁶ - 40x³

83.

a)

5p²- 16p

b)

5p + 4

c)

5p - 4

d)

5p + 4p

84.

Multiply the binomials.

a)

6x² +18x + 117

b)

6x² +57x + 117

85.

(2x³ - 5x² + 3x + 7) ÷ (x - 2)

a)

2x³ - x² + x + 9

b)

2x² - x + 1

c)

2x² - x + 1 + 9/x-2

d)

2x² - 9x - 15 - 23/x-2

86.

(2x³ + 5x² + 9) ÷ (x + 3)

a)

2x² - x + 3

b)

2x³ - x² + 3x

c)

2x² + 11x + 33 + 108/x+3

d)

2x² - 5x + 12

87.

For synthetic division, what would be the number in the left hand box?

a)

0

b)

1

c)

2

d)

3

88.

What is the next step in synthetic division?

a)

Multiply the 9 and 6

b)

Add the 9 and 6

c)

Bring down the -48

89.

$\left(x^3-10x^2+27x-18\right)\div\left(x-3\right)\$

a)

$x^2-7x+6$

b)

$x^2+7x\ -6$

c)

$x^2-3x\ +\ 9$

d)

$x^2+3x\ -\ 9$

90.

$\left(4n^4+34n^3+37n^2-33n+14\right)\div\left(n+7\right)$

a)

$4n^3+4n^2-4n+2$

b)

$n^3+2n^2-5n+2$

c)

$4n^3+n^2-n+2$

d)

$4n^3+6n^2-5n+2$

91.

$\left(x^4-2x^3-83x^2+29x+10\right)\div\left(x-10\right)$

a)

$4x^3+2x^2-x-11$

b)

$x^3+6x^2-4x-9$

c)

$x^3+8x^2-3x-1$

d)

$x^3+8x^2-7x-6$

92.

(2x³ - 5x - 7) ÷ (x - 2)

a)

2x³ - 4x² + 3x - 13

b)

2x³ + 4x² +3x - 1

c)

2x² - 4x + 3 - 13/x-2

d)

2x² + 4x + 3 - 1/x-2

93.

Cam divided (x⁴ + 3x² - 4x - 2) by factor of (x-2) using synthetic division. His work is shown above. Which best describes his mistake?

a)

Cam wrote the remainder incorrectly.

b)

Cam did not use a zero place holder for the x³ term.

c)

Cam added instead of subtracting the rows.

d)

Cam should have used -2 as his division since the factor was x-2.

94.

What number goes in the yellow area?

a)

9

b)

-9

c)

6

d)

-6

95.

Solve using long division. $\left(8x^2+6x-20\right)\div\left(4x-5\right)$

a)

$2x-4$

b)

$2x+4$

c)

$2x-1-\frac{16}{4x-5}$

d)

$2x-4-\frac{40}{4x-5}$

96.

Use long division algorithm.

a)

4x - 2

b)

4x + 2

c)

2x - 4

d)

2x + 4

97.

Solve using long division $\left(2x^2+6x-20\right)\div\left(2x-4\right)$

a)

$x+5+\frac{2}{2x-4}$

b)

$x-8$

c)

$x-5+\frac{3}{2x-4}$

d)

$x+5$

98.

What is the remainder when ( 2x⁵⁰ – 5) is divided by (x-1)?

a)

8

b)

5

c)

-5

d)

-3

99.

Given P(x) = 3x³ + 5x² – 4x -8, what is the value of P(3)?

a)

120

b)

115

c)

109

d)

106

100.

If P( -4) = 0, which of the following statements is true about P(x)?

a)

x+4 is a factor of P(x)

b)

P(x) = 0, has four negative roots

c)

4 is a root of P(x) = 0

d)

P(0) = - 4

101.

What is the remainder when

(9x + 8x² +7x³ + … + x⁹) is divided by (x+1)?

a)

8

b)

6

c)

-5

d)

-9

102.

What is the remainder when (10x⁷⁹ – 6) is divided by (x-1)?

a)

4

b)

3

c)

2

d)

1

103.

Which polynomial when divided by (x - 2) equals (x² – x – 3) with a remainder of -3 ?

a)

x³ + 3x² – x + 3

b)

x³ – 3x² + x + 3

c)

x³ – x² – x + 3

d)

x³ – 3x² – x + 3

104.

What is the remainder when y⁴ – 2y³ + y – 2 is divided by y - 2?

a)

0

b)

3

c)

5

d)

10

105.

x – 1 is a factor of 2x³ – x² + 2x - 3

a)

b)

106.

If the remainder of a given polynomial expression is 0, then (x –r) is NOT a factor of P(x).

a)

b)

107.

x – r is a factor of P(x) if and only if the remainder R of P(x) ÷ (x-r) is (a) .

108.

a)

(3x - 4y)³

b)

(3x - 4y)(9x² + 12xy + 16y²)

c)

(3x + 4y)³

d)

(3x - 4y)(9x² - 12xy - 16y²)

109.

a)

(x² + 8)(x + 7)

b)

(x - 4)(x+4)(x+7)

c)

x²(x³+7x²+8x+56)

d)

Not Factorable

110.

a)

(x⁴ - 16)(x - 3)

b)

(x+2)(x-2)(x²+4)(x-3)

c)

(x⁴ + 16)(x - 3)

d)

(x² + 4)(x²- 4)(x-3)

111.

a)

(x³ + 27)(x - 2)

b)

(x³ - 27)(x - 2)

c)

(x+3)(x²-3x+9)(x-2)

d)

(x+3)(x²+3x+9)(x-2)

112.

Factor Completely: 15t² - 27t - 6

a)

3(5t +1)(t - 2)

b)

(3t - 6)(5t + 1)

c)

3(5t - 1)(t + 2)

d)

(15t + 6)(1t - 6)

113.

What is the first step when factoring polynomials?

a)

Find the GCF

b)

List all the terms

c)

Make a triangle

d)

Write the answer

114.

Factor Completely: 3n² - 15n + 18

a)

(n - 2)(n - 3)

b)

3(n + 2)(n + 3)

c)

(3n - 9)(n - 2)

d)

3(n - 3)(n - 2)

115.

Factor:
2m² + 3m - 9

a)

2(m + 3)(m - 3)

b)

(2m - 3)²

c)

(m + 3)(2m - 3)

d)

(2m + 3)(m - 3)

116.

Solve for a by factoring.
a² + 2a - 24 = 0

a)

a = -6, 4

b)

a = 6, -4

c)

a = 12, -2

d)

a = 8, -3

117.

Solve by factoring:

n² - 2n = 0

a)

n = 2 and 0

b)

n = -2 and 0

c)

n = 2

d)

n = 0

118.

Solve by Factoring: 4x² - 3 = -11x

a)

x = -3/4 and x = -1

b)

x = 4 and x = 3

c)

x = 1/4 and x = -3

d)

x = -1/4 and x = 3

119.

4x² - 25

a)

(2x + 5) (2x - 5)

b)

(2x - 5)²

c)

(2x + 5)²

d)

2x + 5(2x - 5)

120.

Solve by Factoring: 4x² + 11x - 3 = 0

a)

x = -3/4 and x = -1

b)

x = 4 and x = 3

c)

x = 1/4 and x = -3

d)

x = -1/4 and x = 3

121.

Solve by Factoring:
x² + 15x + 64 = 20

a)

{-8, 2}

b)

{-7, 5}

c)

{-11, -4}

d)

{-11}

122.

Solve x⁴ - 256 = 0

a)

x = 4, x = - 4

b)

x = 4, x = 4i

c)

x = 4, x -4, x = 4i

d)

x = 4, x -4, x = 4i, x = -4i

123.

Find all zeros for the polynomial function P(x) = x³ -3x²-5x+15

a)

3, √5

b)

3, √5, -√5

c)

-3, √5, -√5

d)

-3, 5i, -5i

124.

Find all zeros of the polynomial function P(x) = x³+6x²+9x+54

a)

6, 3, -3

b)

-6, 3, -3

c)

-6, 3i, -3i

d)

6, 3i, -3i

125.

Solve (x²-9) = 0

a)

x = 9

b)

x = 9, -9

c)

x = 3, -3

d)

x = 3

126.

Solve for the values of x:
(2x - 1)(x + 4) = 0

a)

{ 1/2, -4 }

b)

{ 1/2, 4 }

c)

{ 2, -4 }

d)

{ -2, 4 }

127.

What are two solutions to the polynomial:
x²+14x=0

a)

x=0, x= 14

b)

x=-14

c)

x= 1, x =10

d)

x= -14, x = 0

128.

Solve: 2x²-14x+24 = 0

a)

x = 4, 3

b)

x = 9/2, 10/4

c)

x = -3, -4

d)

x = -9/2, -10/4

129.

What are the solutions? (Hint Factor and solve)

a)

x=0, x=-2 and x=7

b)

x=2 and x=7

c)

x=-2 and x=7

d)

x=0 and x=3 and x= 42

130.

The solutions of the quadratic equation
x²+5x+6=0 are

a)

x= -3 or x = -2

b)

x = -6 or x = 1

c)

x = 3 or x = 2

d)

x = -3 or x = 2

131.

Solve

x² + 2x - 20 = 4

a)

x = -6, x = 4

b)

x = 6, x = -4

c)

x = 12, x = -2

d)

x = 8, x = -3

132.

Solve by factoring:3x² + 5x + 2 = 0

a)

x = -2/3 and x = -1

b)

x = -3/2 and x = -1

c)

x = 2/3 and x = 1

d)

x = 2/3 and x = -1

133.

Solve
16a² - 9 = 0

a)

a = ^-3/₄, ³/₄

b)

a = ^-4/₃, ⁴/₃

c)

a = ^-9/₁₆, ⁹/₁₆

d)

a = ^-16/₉, ¹⁶/₉

134.

Solve: 14m²-12m = 0

a)

m=2 and m=76

b)

m=2 and m=0

c)

m=14 and m=12

d)

m=0 and m=6/7

135.

Factor this difference of cubes:
x³ - 343

a)

(x + 7) (x² - 7x + 49)

b)

(x² + 1) (x - 343)

c)

(x - 7) (x² + 7x + 49)

d)

(x² - 343) (x + 1)

136.

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)

137.

Factor by grouping:
4p³+8p²+3p+6

a)

(2p²+3)(p+2)

b)

(2p²+6)(p+4)

c)

(4p²+3)(p+2)

d)

(4p²+8p)(3p+6)

138.

Solve by Factoring: 4x² + 11x - 3 = 0

a)

x = -3/4 and x = -1

b)

x = 4 and x = 3

c)

x = 1/4 and x = -3

d)

x = -1/4 and x = 3

139.

Solve by Factoring:
x² + 15x + 64 = 20

a)

{-8, 2}

b)

{-7, 5}

c)

{-11, -4}

d)

{-11}

140.

Find all zeros for the polynomial function P(x) = x³ -3x²-5x+15

a)

3, √5

b)

3, √5, -√5

c)

-3, √5, -√5

d)

-3, 5i, -5i

141.

Find all zeros of the polynomial function P(x) = x³+6x²+9x+54

a)

6, 3, -3

b)

-6, 3, -3

c)

-6, 3i, -3i

d)

6, 3i, -3i

142.

Solve (x²-9) = 0

a)

x = 9

b)

x = 9, -9

c)

x = 3, -3

d)

x = 3

143.

Solve for the values of x:
(2x - 1)(x + 4) = 0

a)

{ 1/2, -4 }

b)

{ 1/2, 4 }

c)

{ 2, -4 }

d)

{ -2, 4 }

144.

What are two solutions to the polynomial:
x²+14x=0

a)

x=0, x= 14

b)

x=-14

c)

x= 1, x =10

d)

x= -14, x = 0

145.

Solve: 2x²-14x+24 = 0

a)

x = 4, 3

b)

x = 9/2, 10/4

c)

x = -3, -4

d)

x = -9/2, -10/4

146.

What are the solutions? (Hint Factor and solve)

a)

x=0, x=-2 and x=7

b)

x=2 and x=7

c)

x=-2 and x=7

d)

x=0 and x=3 and x= 42

147.

The solutions of the quadratic equation
x²+5x+6=0 are

a)

x= -3 or x = -2

b)

x = -6 or x = 1

c)

x = 3 or x = 2

d)

x = -3 or x = 2

148.

Solve

x² + 2x - 20 = 4

a)

x = -6, x = 4

b)

x = 6, x = -4

c)

x = 12, x = -2

d)

x = 8, x = -3

149.

Solve by factoring:3x² + 5x + 2 = 0

a)

x = -2/3 and x = -1

b)

x = -3/2 and x = -1

c)

x = 2/3 and x = 1

d)

x = 2/3 and x = -1

150.

Solve
16a² - 9 = 0

a)

a = ^-3/₄, ³/₄

b)

a = ^-4/₃, ⁴/₃

c)

a = ^-9/₁₆, ⁹/₁₆

d)

a = ^-16/₉, ¹⁶/₉

151.

Solve: 14m²-12m = 0

a)

m=2 and m=76

b)

m=2 and m=0

c)

m=14 and m=12

d)

m=0 and m=6/7

152.

Factor this difference of cubes:
x³ - 343

a)

(x + 7) (x² - 7x + 49)

b)

(x² + 1) (x - 343)

c)

(x - 7) (x² + 7x + 49)

d)

(x² - 343) (x + 1)

153.

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)

154.

Factor by grouping:
30x³+15x²-18x-9

a)

(5x²-3)(6x+1)

b)

(5x²-3)(6x+3)

c)

3(5x²+3)(2x-1)

d)

3(5x²-3)(2x+1)

155.

Factor by grouping:
4p³+8p²+3p+6

a)

(2p²+3)(p+2)

b)

(2p²+6)(p+4)

c)

(4p²+3)(p+2)

d)

(4p²+8p)(3p+6)

Quarter 1 Exam

Total questions: 155

Worksheet time: 9hrs 4mins

Similar Resources on Wayground