Free Printable EOT EXAM REVISION QUESTIONS

1.

Select all of the statements that are true.

a)

25 is a monomial of degree 1.

b)

5x² + 3√x + 1 is not a polynomial.

c)

8y⁵ – 2y³ + 27y² is a trinomial of degree 10

d)

The leading coefficient of 8y + 6y³ + 2y⁵ is 2.

e)

3xy⁵ – 7x² is a polynomial of degree 5.

2.

Choose the shown polynomial in standard form. Then identify the leading coefficient.

4𝑏⁵ + 2𝑏 – 17𝑏⁶ – 4𝑏²

a)

– 17b⁶ + 4b⁵ – 4b² + 2b

b)

– 17b⁶ + 4b⁵ + 4b² - 2b

c)

– 17b⁶ - 4b⁵ – 4b² + 2b

d)

17b⁶ + 4b⁵ – 4b² + 2b

3.

Choose the difference: (5𝑑² – 4𝑐𝑑 + 3𝑐²) – (𝑑² – 9𝑐𝑑 – 𝑐²)

a)

4𝑑² + 5c𝑑 + 4𝑐²

b)

5𝑑² + 5c𝑑 + 4𝑐²

c)

4𝑑² -5c𝑑 + 4𝑐²

d)

4𝑑² - 5c𝑑 - 4𝑐²

4.

Find the perimeter

a)

4 x² + -10 x + 1

b)

5 x² + 10 x + 12

c)

3x² + -9 x + 2

d)

2x² + -8 x + 2

5.

Solve 2h(h – 5) – 3h(h + 4) = h(6 – h) – 56.

a)

h=2

b)

h=6

c)

h=3

d)

h=5

6.

solve −2q(4q − 9) − q(−8q + 15) = 3(4q + 6)

a)

q= -2

b)

q= 2

c)

q= -3

d)

q=4

7.

Find the product of (4h + 5) and (h – 6).

a)

4h² – 19h – 30

b)

h² – 19h – 30

c)

4h² + 19h + 30

d)

h² + 18h – 30

8.

Find (7x + 3)²

a)

49x² + 42

b)

49x² + 42x + 9

c)

49x² + 40x + 9

d)

49x²+ 8

9.

(𝑥³ − 2𝑥)(𝑥⁴ + 1)

a)

𝑥⁷ − 2𝑥⁵ + 𝑥³- 2x

b)

𝑥⁷ − 𝑥⁵ + 𝑥³- x

c)

𝑥⁷ + 𝑥³- 2x

d)

𝑥⁷ − 2𝑥⁵ - 2x

10.

The area of a trapezoid is one-half the height times the sum of the bases.

Simplify

a)

2x² – 6x + 4

b)

2x² – 6x

c)

2x² – x + 4

d)

x² – 6x + 4

11.

What is the greatest common factor (GCF) of 40xy² – 60x³y⁴ + 80x⁴y²?

a)

20xy²

b)

20xy

c)

20y²

d)

20

12.

1) Factor 6xy³ + 18x²y⁴.

a)

6xy³(1 + 3xy)

b)

prime

c)

6xy²(y + xy)

d)

6xy²(y - 3xy)

13.

An expression for the area of a rectangle is xy − 2x + 3y − 6. Express this area in factored form.

a)

(x + 3)(y − 2)

b)

prime

c)

(2x + 3)(y − 2)

d)

(x + 3)(y)

14.

Factor 𝒙^𝟐 + 𝟓𝒙 + 𝟔.

a)

(𝑥 + 2)(𝑥 + 3)

b)

(𝑥 + 6)(𝑥 + 1)

c)

(𝑥 +2)(𝑥 + 13)

d)

(𝑥 + 5)(𝑥 + 1)

15.

Factor 𝑥² − 8𝑥 + 16

a)

(𝑥 − 4)²

b)

(𝑥 + 4)²

c)

(𝑥 − 2)²

d)

(𝑥 + 2)²

16.

Factor 4𝑥² − 121.

a)

(2𝑥 − 11)(2𝑥 + 11)

b)

(4𝑥 − 11)(2𝑥 + 11)

c)

(2𝑥 − 1)(2𝑥 + 1)

d)

(2𝑥 − 11)(4𝑥 + 11)

17.

Factor 5x³ − 20x completely

a)

prime

b)

5x(x + 2)(x − 2)

c)

(x + 2)(x − 2)

d)

x(x + 2)(x − 2)

18.

Factor 25a² − 36b²

a)

prime

b)

(5a + 6b)(5a − 6b)

c)

(5a + b)(5a − b)

d)

(a + 6b)(a − 6b)

19.

What is the sum of the interior angles of a regular hexagon?

a)

720

b)

540

c)

360

d)

180

20.

What is the measure of one interior angle of a regular octagon?

a)

135

b)

160

c)

180

d)

270

21.

In a regular pentagon, each exterior angle measures.

a)

360

b)

180

c)

120

d)

200

22.

m∠C is degrees.

a)

149

b)

160

c)

180

d)

90

23.

If the measure of an interior angle of a regular polygon is 156°, then, the number of sides in the polygon is .

a)

15

b)

11

c)

16

d)

14

24.

find the value of x

a)

17

b)

15

c)

12

d)

11

25.

Solve for x given m∠RMY = 29°, m∠RGM = 74° and m∠GMR = 12x + 53°

a)

x=2

b)

x=3

c)

x=4

d)

x=1

26.

Solve for x given YC = 40 and YG = 6x − 10.

a)

x=5

b)

x=2

c)

x=3

d)

x=1

27.

Use the below parallelogram RSTU to find each measure or value

m∠RST =?

a)

125

b)

130

c)

120

d)

80

28.

Given ABCD is a rectangle, find the value of AC if AE = x + 10 and BE = 3x − 18.

a)

48

b)

50

c)

40

d)

60

29.

Which of the following statements CANNOT prove that a quadrilateral is a rectangle?

a)

If a quadrilateral has one right angle

b)

If a quadrilateral is a parallelogram that has one right angle

c)

If a quadrilateral is a parallelogram that has congruent diagonals

d)

If a quadrilateral has four right angles

30.

Given the square ADCB with BE = x + 5 and BD = 8x − 2, find the value of AC.

a)

14

b)

10

c)

12

d)

5

31.

For the isosceles trapezoid PQRS, L and M are the midpoints of the legs. Which of the following represents the measure of ∠P?

a)

57

b)

37

c)

30

d)

40

32.

LM is the midsegment of trapezoid ABCD. AB = x + 8, LM = 4x + 3 and

DC = 201. Find the value of x.

a)

29

b)

40

c)

40

d)

39

33.

VY is the midsegment of Trapezoid FEDC . FE = 2x + 2, CD = 5X − 10 and VY = 17. Find the

value of x.

a)

6

b)

9

c)

7.5

d)

10

34.

If rectangle ABCD is similar to rectangle EFGH, what is EH?

a)

6

b)

5

c)

4

d)

10

35.

If ∆ABC is similar to ∆DEC, find the value of x

a)

4

b)

3

c)

2

d)

10

36.

The polygons given below are similar. Find the value of x.

a)

3/2

b)

5

c)

4

d)

2

37.

Polygon RSTUV is similar to polygon ABCDE. Find x.

a)

9/2

b)

2/3

c)

4

d)

2

38.

Triangle ABC can be mapped onto triangle DEF using a series of dilations and rigid motions. Which postulate or theorem proves that triangle ABC is similar to triangle DEF?

a)

Angle-Angle Similarity Postulate

b)

Side-Side-Side Similarity Theorem

c)

Side-Side-Side Similarity Theorem

d)

Third Angles Theorem

39.

Which triangle is similar to triangle GHI?

a)

b)

c)

d)

40.

Given that ∆ ABC and ∆DEF are similar. Find x

a)

7

b)

3

c)

2

d)

4

41.

Which postulate or theorem proves that triangle ABC is similar to triangle EDF?

a)

Angle-Angle Similarity Postulate

b)

Side-Angle-Side Similarity Theorem

c)

Side-Side-Side Similarity Theorem

d)

Third Angle Theorem

42.

Find the value of x if ΔMNP ∼ ΔSQV

a)

11

b)

10

c)

3

d)

4

43.

If JK is a midsegment of triangle GHF, what is the length JK?

a)

6

b)

3.5

c)

1

d)

10

44.

In the figure below, lines KM and JN are parallel. Find x.

a)

2

b)

13

c)

19

d)

20

45.

Find the value of x in the figure below

a)

2

b)

4

c)

6.5

d)

10

46.

DE is a midsegment of ΔABC. Find the value of x.

a)

13

b)

20

c)

2

d)

9

47.

AD and PM are corresponding medians, then:

a)

24/7

b)

12

c)

3

d)

9/17

48.

Given the triangle ΔGHK, solve x

a)

5√3

b)

√3

c)

5

d)

5√2

49.

Find the measure of KM.

a)

12

b)

10

c)

4

d)

6

50.

Find the missing side of the given triangle.

a)

√21

b)

√29

c)

√20

d)

√15

51.

Use Pythagorean triple to find the value of c

a)

30

b)

40

c)

20

d)

100

52.

Find x and y

a)

20√3

b)

20√2

c)

10√3

d)

20√5

53.

Find Cos D

a)

5/13

b)

5/12

c)

12/13

d)

12/5

54.

The value of angle of X is ________ degrees.

a)

61

b)

25

c)

29

d)

55

55.

Find the measures of ∠A and ∠B. Round the angle measures to the nearest degree.

a)

36

b)

45

c)

55

d)

20

56.

The area of triangle ABC is

a)

52 sin 131

b)

52 sin 13

c)

50 sin 101

d)

13 sin 131

57.

Find the area of the below triangle

a)

16.6

b)

30

c)

24

d)

40

EOT EXAM REVISION QUESTIONS

Total questions: 57

Worksheet time: 2hrs 35mins

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