Free Printable Trimester 3

1.

Solve

a)

2

b)

-2

c)

3

d)

-3

2.

Solve

a)

-1/3

b)

-3

c)

-1

d)

3

3.

What is the base in the expressions.

a)

1

b)

2

c)

8

d)

1/8

4.

What is the exponent in the expressions?

a)

1

b)

2

c)

8

d)

1/8

5.

Sovle for x:
5^{-3x - 1} = 25

a)

x = -1

b)

x = -4

c)

x = -3

d)

x = 1

6.

Solve for x:
3^2x = 27^{x - 4}

a)

x = 12

b)

x = 4

c)

x = -4

d)

x = 1

7.

Solve: 7^-x = 49

a)

x = 1

b)

x = -1

c)

x = 2

d)

x = -2

8.

Solve 8 = 2^5x+7

a)

x = ⅘

b)

x = ¼

c)

x = -⅘

d)

x = -¼

9.

Solve for p:
4^p+2 = 64

a)

p = -16/9

b)

p = 1

c)

p = 8

d)

p = 7/6

10.

Solve the following exponential equation:

2^{x+6}=32

a)

$x=-1$

b)

$x=-2$

c)

$x=1$

d)

$x=2$

11.

$\sqrt[]{3}\ \left(\sqrt[]{6}-\ \sqrt[]{15}\right)$

a)

$3\ \sqrt[]{2}\ -\ 3\ \sqrt[]{5}$

b)

$\sqrt[]{18\ }-\ \sqrt[]{45}$

c)

$3\ \sqrt[]{6}\ -\ 3\ \sqrt[]{15}$

12.

$3\ \sqrt[]{12}\ \cdot\ \sqrt[]{6}$

a)

$3\ \sqrt[]{72}$

b)

$9\ \sqrt[]{8}$

c)

$18\ \sqrt[]{2}$

13.

$\sqrt[]{15n^2}\ \cdot\ \sqrt[]{10n^3}$

a)

$\sqrt[]{150n^5}$

b)

$5n^5$

c)

$\sqrt[]{5n}$

d)

$5n^2\ \sqrt[]{6n}$

14.

Simplify

2√27+3√3

a)

15√30

b)

5√3

c)

9√3

d)

9√8

15.

√5 + √20

a)

5

b)

25

c)

3√5

d)

2√3

16.

√300 + √75

a)

15√3

b)

√375

c)

20√5

d)

16√5

17.

Simplify 2√8p²q³r

a)

4pq√2qr

b)

4p√2

c)

4pq√2r

d)

6pq√12r

18.

$\left(\left(4\sqrt{3}-5\sqrt{2}\right)\left(3\sqrt{2}-6\right)\right)$

a)

$12\sqrt{6}-24\sqrt{3}-30\sqrt{2}+30$

b)

$12\sqrt{3}+30-15\sqrt{2}-30\sqrt{2}$

c)

$7\sqrt{6}-8\sqrt{2}-11\sqrt{2}-6$

19.

$\sqrt{\frac{5a^5}{b^{13}}}$

a)

$\frac{a^2\sqrt{5ab}}{b^7}$

b)

$\frac{\sqrt{5a^5b}}{b^7}$

c)

$\frac{5a^2\sqrt{b}}{b^7}$

d)

$\frac{a^2\sqrt{5}}{b^6}$

20.

Simplify the radical...

√20a²b⁴

a)

2ab²√5

b)

4ab²√5

c)

5ab²√2

d)

2a²b²√5

21.

Write the expression in exponential form:
√23

a)

23^1/2

b)

23^-1/2

c)

23²

d)

23^-2

22.

Check all that is true

Simplify the expression:

27^1/3

a)

3

b)

9

c)

∛27

d)

3³

23.

Write in exponential form
∛x⁷

a)

x⁷∕ ³

b)

x3⁄7

c)

3x⁷

d)

7x³

24.

Write the expression in radical form: $x^{\frac{3}{4}}$

a)

$\sqrt[4]{x^3}$

b)

$\sqrt[3]{x^4}$

c)

$x^{.75}$

d)

$\sqrt[]{x^2}$

25.

Rewrite as a rational exponent:

$\sqrt[7]{x^{23}}$

a)

$x^{\frac{23}{7}}$

b)

$x^{\frac{7}{23}}$

c)

$x^{16}$

d)

$x^{161}$

26.

Simplify . Your answer should contain only positive exponents. $\left(x^{\frac{5}{3}}y^{-2}\right)^0$

a)

$1$

b)

$\frac{x^{\frac{5}{3}}}{y^2}$

c)

$x^{\frac{5}{3}}y^2$

d)

$\frac{y^2}{x^{\frac{5}{3}}}$

27.

Write using a rational exponent: $\sqrt[3]{x^6}$

a)

$x^2$

b)

$x^3$

c)

$x^9$

d)

$x^{\frac{1}{2}}$

28.

Write using a rational exponent: $\sqrt[3]{x^8}$

a)

$x^{\frac{8}{3}}$

b)

$x^{\frac{3}{8}}$

c)

$x^5$

d)

$x^{11}$

29.

3a(5a² + 8a + 2)

a)

15a³ + 24a² + 6a

b)

10a³ + 24a + 6

30.

-2x(5x² + 8)

a)

-10x³ -16x

b)

-10x² - 16

31.

5x(4x³ + 8)

a)

9x⁴ + 40x

b)

20x⁴ + 40x

32.

Multiply

-m\left(3m^2-2m-8\right)

a)

$-3m^3+2m^2+8m$

b)

$3m-2m^2+8$

c)

$-3m^2+2m+8$

d)

$2m^3-3m^2-9m$

33.

$\ \left(x+3\right)\left(x+5\right)$

a)

$x^2+8x+15$

b)

$x^2+3x\ +5x\ +15$

c)

$x^2+15x\ +15$

34.

$\left(4a-7\right)\left(3a-2\right)$

a)

$12a^2-13a+14$

b)

$12a^2-29a+14$

c)

$12a^2+29a-14$

35.

$\left(3a-8b\right)\left(2a-b\right)$

a)

$6a^2-8b^2+19ab$

b)

$6a^2+8b^2-19ab$

c)

$6a^2+8b^2-13ab$

36.

(2x − 3)(2x + 3)

a)

4x² − 12x + 9

b)

4x² − 9

c)

4x² + 9

d)

4x² + 6x − 9

37.

(x - 7)(x + 7)

a)

x² + 7x - 49

b)

x² - 7x + 49

c)

x² - 49

d)

x² + 49

38.

Simplify the expression

(x - 3)²

a)

x² - 6x + 9

b)

x² + 9

c)

x² + 6x - 9

d)

x² + 6x + 9

39.

Multiply.
(x + 7)²

a)

x²+ 7x + 7x + 49

b)

x²+ 7x + 7

c)

7x²+ x + 7

d)

x² + 14x + 49

40.

(x+10)(x-10)

a)

x² - 100

b)

x² + 100

c)

x² + 20x - 100

d)

x² -20x + 100

41.

Find the product:
(x + 12)(x - 12)

a)

x² - 144

b)

x² + 144

c)

x² + 12x - 144

d)

x² - 12x + 144

42.

Multiply:
(2x−y)²

a)

4x²−4xy+y²

b)

4x²+y²

c)

4x²−y²

d)

4x²+4xy+y²

43.

Find the product:
(m+11)²

a)

m²+22m+121

b)

m²+11m+121

c)

m²+11m +11

d)

m²+22m +11

44.

Find the product:
(m+11)²

a)

m²+22m+121

b)

m²+11m+121

c)

m²+11m +11

d)

m²+22m +11

45.

Find the area of a rectangle with length (x - 5) and width (3x + 1).

a)

3x²+16x-5

b)

3x²-14x+5

c)

3x²-14x-5

46.

Choose the correct answer below.

a)

$A=3x^2+9x-5$

b)

$A=5x^2-x+7$

c)

$A=3x^2-x+7$

d)

$A=5x^2+9x-5$

47.

Find the product:
(5n-8)(5n+8)

a)

25n²-64

b)

10n²

c)

5n²+16

d)

16

48.

Find the product:
(2x+3)²

a)

2x+3+2x+3

b)

4x²+12x+9

c)

4x²+9

d)

16x²+9

49.

Find the area of the rectangle.

a)

8x² + 14x + 6

b)

12x + 10

c)

8x² + 6

d)

6x² + 14x + 6

50.

Find the product:
(10z-3)²

a)

10z²-30z-9

b)

100z²-60z+9

c)

100z²-9

d)

10z²-60z+9

51.

Find the product:
(5s+2)²

a)

25s²+4

b)

25s²+10s+4

c)

25s²+20s+4

d)

5s²+20s+4

52.

(x+4)²

a)

x²+16

b)

x²-16

c)

x²+8x+16

d)

x²+8x-16

53.

(3c + 6d)²

a)

9c² + 36cd + 36d²

b)

9c² + 18cd + 36d²

c)

6c² + 36cd + 12d²

d)

6c² + 9cd + 12d²

54.

70c + 120

a)

10(7c + 12)

b)

10(7c +120)

c)

10c(7 + 12)

d)

10(70c + 120)

55.

-70m - 63

a)

7(10m - 9)

b)

7(-10m + 9)

c)

-7(10m - 9)

d)

-7(10m + 9)

56.

6m + 36 + 30u

a)

6(m + 36 + 30u)

b)

6(m + 6 + 5u)

c)

6(m + 6 + 30u)

d)

6m(1 + 6 + 5)

57.

Factor 16x+32 (Use the GCF!)

a)

8(2x+4)

b)

16(x+2)

c)

7(8x+32)

d)

2(8x+16)

58.

Factor:
10a⁴+16a+10a²

a)

2a(5a³⁺8+5a)

b)

2a⁴(5a+8a²+5a³)

c)

2a⁴(10+16a+40a²)

d)

3a³(5+8a+a²)

59.

7r³-8r²+42r-48

a)

(r²+6)(7r+8)

b)

(r²+6)(7r-8)

c)

(r²+6)(r²+8)

d)

(r²+6)(7r+6)

60.

Factor by grouping:
5n³-10n²+3n-6

a)

(5n²+3)(n-2)

b)

(5n²-3)(n-2)

c)

(5n³+3)(n-2)

d)

10n(n²-6)

61.

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)

62.

Factor by grouping:
x³+7x²-2x-14

a)

(x²-2)(x-7)

b)

(x²+2)(x-7)

c)

(x²+2)(x+7)

d)

(x²-2)(x+7)

63.

7r³-8r²+42r-48

a)

(r²+6)(7r+8)

b)

(r²+6)(7r-8)

c)

(r²+6)(r²+8)

d)

(r²+6)(7r+6)

64.

Factor by GCF:

4a³b⁵ - 18a²b³ + 8a³b³

a)

4a²b³ (ab² - 4 + 2a)

b)

2a²b³ (2ab² - 9 + 4a)

c)

2a²b³ (2ab - 9ab + 4)

d)

a²b (4ab - 18a²b³ + 8ab²)

65.

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)

66.

Factor

k^2+7k+10

.

a)

$(k+2)(k-5)$

b)

$(k+2)(k+5)$

c)

$(k+10)(k+4)$

d)

$(k-2)(k-5)$

67.

Factor $k^2-2k-24$

a)

$(k-4)(k+6)$

b)

$(k+4)(k+6)$

c)

$(k+6)(k-1)$

d)

$(k+4)(k-6)$

68.

Factor: x² – 5x – 24

a)

(x - 5)(x + 19)

b)

(x - 8)(x + 3)

c)

(x - 3)(x + 8)

d)

(x - 19)(x + 5)

69.

Factor
$x^2-10x+9$

a)

$\left(x-1\right)\left(x-9\right)$

b)

$\left(x+5\right)\left(x+4\right)$

c)

$\left(x-5\right)\left(x-4\right)$

d)

$\left(x+1\right)\left(x+9\right)$

70.

Factor $3v^2-4v-7$

a)

$\left(3v-7\right)\left(v+1\right)$

b)

$3\left(v-7\right)\left(v-1\right)$

c)

$\left(3v+1\right)\left(v-9\right)$

d)

$\left(3v+1\right)\left(v-10\right)$

71.

Factor $4x^{2\ }-\ 12x\ +\ 9$ completely

a)

$\left(2x\ -3\right)^2$

b)

$\left(2x\ +3\right)^2$

c)

$\left(2x\ -3\right)\left(2x\ +\ 3\right)$

d)

Cannot be SOLVED

72.

Factor $x^2+24x+144$

a)

$\left(x+12\right)^2$

b)

$\left(x+9\right)^2$

c)

$\left(x+15\right)^2$

d)

$\left(x+13\right)^2$

73.

Factor $2x^2+x-6$

a)

$\left(x+2\right)\left(2x-3\right)$

b)

$\left(x-6\right)\left(2x+1\right)$

c)

$\left(x+1\right)\left(2x-6\right)$

d)

$\left(x-2\right)\left(2x+3\right)$

74.

Factor the expression: 10v² + 11v - 8

a)

(5v + 8)(2v + 1)

b)

(v + 8)(v - 1)

c)

(5v + 8)(2v - 1)

d)

(10v - 8)(v + 1)

75.

Factor the expression: -2h² + 4h + 70

a)

-2(h + 7)(h + 5)

b)

-2(h - 7)(h - 5)

c)

-2(h + 7)(h - 5)

d)

-2(h - 7)(h + 5)

76.

Factor
9x²-6x-8

a)

(3x+2)(3x-4)

b)

(3x+2)(3x+4)

c)

(3x-2)(3x-4)

d)

(x-1)(9x+8)

77.

Factor
4n²-17n-15

a)

(n-10)(6n+1)

b)

(4n-5)(n-3)

c)

(n-5)(4n-3)

d)

(n-5)(4n+3)

78.

Factor:

$2x^2+10x-72$

a)

$2\left(x+9\right)\left(x-4\right)$

b)

$2\left(x-9\right)\left(x+4\right)$

c)

$\left(2x-18\right)\left(x+4\right)$

d)

$-2\left(x+9\right)\left(x-4\right)$

79.

Factor:

$10m^2+23m+6$

a)

$\left(m+2\right)\left(10m+3\right)$

b)

$\left(m-2\right)\left(10m-3\right)$

c)

$2\left(m+1\right)\left(5m+1\right)$

d)

$\left(m-2\right)\left(10m+3\right)$

80.

Factor:

$11z^2+13z+2$

a)

$\left(11z+2\right)\left(z+1\right)$

b)

$\left(11z+1\right)\left(z+2\right)$

c)

$\left(11z-1\right)\left(z-2\right)$

d)

$\left(11z+2\right)\left(11z-1\right)$

81.

Factor:

$4m^2-4m-63$

a)

$\left(2m+7\right)\left(2m-9\right)$

b)

$\left(2m-7\right)\left(2m+9\right)$

c)

$\left(2m-7\right)\left(2m-9\right)$

d)

$2\left(m-3.5\right)\left(m+4.5\right)$

82.

Factor:

$5x^2-43x+24$

a)

$\left(5x-3\right)\left(x-8\right)$

b)

$\left(5x+3\right)\left(x+8\right)$

c)

$\left(5x-8\right)\left(x+3\right)$

d)

$\left(5x-3\right)\left(x+8\right)$

83.

Which triangle congruence postulate is shown?

a)

SAS

b)

ASA

c)

SSS

d)

SSA

84.

Which triangle congruence postulate is shown?

a)

ASA

b)

HL

c)

SSS

d)

SAS

85.

Congruent by

a)

SSS

b)

SAS

c)

ASA

d)

AAS

86.

Congruent by

a)

SSS

b)

SAS

c)

ASA

d)

AAS

87.

Congruent by

a)

SSS

b)

SAS

c)

ASA

d)

AAS

88.

ΔAEB ≅ ΔCED by...

a)

SAS

b)

ASA

c)

AAS

d)

SSS

89.

Which triangle congruence theorem can be used to prove the triangles are congruent?

a)

AAS

b)

SAS

c)

HL

d)

ASA

90.

Which triangle congruence theorem can be used to prove the triangles are congruent?

a)

Not enough information

b)

SAS

c)

SSA

d)

AAS

91.

Are these triangles congruent?

a)

Yes, by AAS

b)

Yes, by SAS

c)

Yes, by ASA

d)

No, this is the SSA one!!

92.

Name the postulate, if possible, that makes the triangles congruent.

a)

SSS

b)

ASA

c)

AAS

d)

Not Possible

93.

State if the triangles are congruent or not. If they are, state how you know.

a)

Yes - by SSS

b)

Yes - by ASA

c)

Yes - by HL

d)

Yes - by SAS

e)

Not congruent

94.

Complete the congruence statement:

\Delta WXY\cong\Delta

a)

ZAY

b)

YZA

c)

ZYA

d)

AZY

95.

Name the postulate, if possible, that makes the triangles congruent. Given: AM ≈ MB and everything that is marked congruent.

a)

SAS

b)

ASA

c)

AAS

d)

HL

96.

If the two triangles are congruent, answer with the criterion that proves them congruent.

a)

SSS

b)

Not Congruent

c)

HL

d)

SAS

97.

What addition piece of information would allow you to conclude that $\Delta DEF\cong\Delta PQR$ using SAS?

a)

$\angle D\cong\angle P$

b)

$\angle E\cong\angle Q$

c)

$\angle D\cong\angle Q$

d)

$\angle F\cong\angle R$

98.

What additional information can be used to show that $\Delta ABC\cong\Delta DEF$ by AAS? Select all that apply.

a)

$\angle B\cong\angle F$

b)

$\angle B\cong\angle E$

c)

$\angle A\cong\angle F$

d)

$\angle C\cong\angle F$

99.

State if the triangles are congruent and why.

a)

Not congruent

b)

SAS

c)

ASA

d)

HL

100.

State if the triangles are congruent and why.

a)

SSS

b)

ASA

c)

AAS

d)

HL

101.

Find HG

a)

28

b)

14

c)

41

d)

7

102.

Solve for the value of x.

a)

x = 10

b)

x = 20

c)

x = 3

d)

x = 45

103.

What is the length of GH and CH?

a)

GH = 8, CH = 8

b)

GH = 8, CH = 12

c)

GH = 12, CH = 8

d)

GH = 12, CH = 12

104.

Find BC.

a)

BC = 4

b)

BC = 16

c)

BC = 12

d)

BC = 24

105.

Find the length of AD

a)

2

b)

4

c)

6

d)

8

106.

Find x and the length of each segment.

a)

x=4 WY=15 WZ=15

b)

x=9 WY=20 WZ=20

c)

x=5 WY=16 WZ=16

d)

x=8 WY=27, WZ=27

107.

If m is the perpendicular bisector of AB, find x.

a)

8

b)

2

c)

6

d)

10

108.

If Z is the centroid, what type of segments are drawn?

a)

angle bisectors

b)

perpendicular bisectors

c)

altitudes

d)

medians

109.

In $\Delta$ MIV, Z is the centroid, MZ = 6, YI = 18, and NZ = 12.

Find the measure of YZ

a)

6

b)

12

c)

18

d)

24

110.

BE = 15. Find EG.

a)

10

b)

5

c)

22.5

d)

20

111.

10. What type of lines are shown

a)

perpendicular bisectors

b)

medians

c)

altitudes

d)

angle bisectors

112.

11. what type of lines are shown:

a)

perpendicular bisector

b)

angle bisectors

c)

altitudes

d)

medians

113.

12. what type of lines are shown:

a)

perpendicular bisectors

b)

angle bisectors

c)

altitudes

d)

medians

114.

If JL = 22, then FL =

a)

14.7

b)

11

c)

7.3

d)

33

115.

If DL = 24, then DG =

a)

16

b)

8

c)

12

d)

36

116.

If m∠CAP = 34° , find ∠CAB.

a)

A. 17°

b)

B. 34°

c)

C. 68°

d)

D. 90°

Trimester 3

Total questions: 116

Worksheet time: 8hrs 49mins

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