Free Printable Semester 1 Review

1.

The table shows the different types of engineers and the subject they liked most. What percentage of people surveyed were chemical engineers who preferred math?

a)

16.5%

b)

33.1%

c)

17.6%

d)

15.5%

2.

What percent of the total population surveyed were electrical engineers that like math?

a)

33.9%

b)

48.6%

c)

16.5%

d)

21.7%

3.

What was the relative percent of just 11th graders who liked SqaureBob SpongePants?

a)

6%

b)

5%

c)

2%

d)

10%

4.

According to the two-way table, a person who plays an instrument is most likely to:

a)

Not play an instrument

b)

Not play a team sport

c)

Play a team sport

d)

All of the above

5.

A student is picked at random.

What is the probability the student is female?

a)

³¹/₇₂

b)

⁴¹/₇₂

c)

⁴²/₇₂

d)

³⁰/₇₂

6.

A survey explored the relationship between gender and band class. Which is a reasonable conclusion?

a)

There are more band members than non-band members

b)

There are more boys in the class than girls

c)

There are more boys in band than not in band

d)

More than half of the bands members in the class are girls

7.

Is the number rational or irrational? $\sqrt{15}$

a)

Rational -

b)

Irrational

8.

Is the number rational or irrational?

a)

Rational

b)

Irrational

9.

Is the number rational or irrational?

a)

Rational

b)

Irrational

10.

Is the number rational or irrational?

a)

Rational -

b)

Irrational

11.

a)

M

b)

N

c)

O

d)

P

12.

Which number is between 7 and 8?

a)

√7

b)

√42

c)

√59

d)

√68

13.

Put in order of least to greatest.
√5, 3, 2½, √8

a)

3, 2½, √8, √5

b)

2½, 3, √5, √8

c)

√5, 3, 2½, √8

d)

√5, 2½, √8, 3

14.

Put in order of least to greatest.
√5, 3, 2½, √8

a)

3, 2½, √8, √5

b)

2½, 3, √5, √8

c)

√5, 3, 2½, √8

d)

√5, 2½, √8, 3

15.

List the following numbers from least to greatest:

-64 , 3.5 , √27 , 6.666...

a)

-64 , 3.5 , √27 , 6.666...

b)

3.5 , √27 , 6.666..., -64

c)

3.5, -64, √27, 6.666...

d)

6.666, √27, -64, 3.5

16.

Which best represents point Z on the number line?

a)

√165

b)

√149

c)

√12.2

d)

√13

17.

Which of the following numbers is irrational?

a)

$\sqrt{50}$

b)

$\sqrt{36}$

c)

$\sqrt{169}$

d)

$\sqrt{225}$

18.

$\sqrt[]{196}$

a)

13

b)

16

c)

19

d)

14

19.

What would be the side length if you used 49 tiles to create a perfect square?

a)

7 tiles

b)

14 tiles

c)

4 tiles wide and 9 tiles long

d)

3.5 tiles

20.

The area of the square pool on Mr. Carr's vacation was 256 ft². How long was one side of the pool?

a)

17 ft

b)

18 ft

c)

16 ft

d)

15 ft

21.

Divide.
$\sqrt{\frac{144}{9}}$

a)

$16$

b)

$4$

c)

$12$

d)

$3$

22.

Simplify the square root of 9/16.

a)

3/4

b)

5/8

c)

2/3

d)

1/2

23.

Solve.

6x + 5 = 3x – 19

a)

x = 8

b)

x = -4

c)

x = 4

d)

x = -8

24.

Solve the equation for the variable

a)

4

b)

-10

c)

1

d)

-1

25.

(²⁄₃)a+1=16-a

a)

a = 0

b)

a = 9

c)

a = 22.5

d)

a = -3

26.

Solve the given equation

$17-5r+9r=-12+6r-1$

a)

$r=16$

b)

$r=-16$

c)

$r=14$

d)

$r=15$

27.

5+2(n+1)=2n

a)

no solution

b)

-2

c)

1/5

d)

4

28.

5h-7=5(h-2)+3

a)

all numbers

b)

2

c)

6

d)

0

29.

-4x + 14 ≤ 54

a)

x ≥ - 10

b)

x ≤ -10

c)

x ≥ 10

d)

x ≤ 10

30.

Solve for k.

7k – 2 ≥ -9

a)

k ≤ -1

b)

k≤1

c)

k≥1

d)

k ≥ -1

31.

-3y + 2 > 11

a)

y < -3

b)

y > -3

c)

y < 3

d)

y > 3

32.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

3

33.

_{^{Find the missing side}}

a)

48

b)

108

c)

83.6

d)

72

34.

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

35.

Find the distance between J and K.

a)

8.2

b)

7.7

c)

9

d)

10.2

36.

Find the distance.

a)

9.7

b)

10.7

c)

11.7

d)

12.7

37.

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

a)

8.9

b)

9.8

c)

10.3

d)

11

38.

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

a)

15.96

b)

16.08

c)

16.23

d)

17.03

39.

Find the Volume of the Cone

a)

150.72 cm³

b)

75.36 cm³

c)

452.16 cm³

d)

151 cm³

40.

a)

8.4 ft³

b)

100.5 ft³

c)

25 ft³

d)

16.8 ft³

41.

Find the volume of the cylinder.

a)

4239

b)

1696

c)

1130

d)

565

42.

Given a cylinder with the height of 10cm and the base radius of 9cm. Find the volume of this cylinder to the nearest tenth.

a)

810 cm³

b)

2543.4 cm³

c)

847.8 cm³

d)

2826 cm³

43.

Jack wants to know how much water sphere can hold with a radius of 8 cm. Find the volume.

a)

83.6cm³

b)

2144.7cm³

c)

254cm³

d)

2220cm³

44.

A sphere has the radius of 5 inches. Leave answer π form.

a)

166.7π

b)

123.8π

45.

Which of these angles is NOT congruent to angle 5?

a)

Angle 6

b)

Angle 8

c)

Angle 1

d)

Angle 4

46.

What angle is the same side interior angle to angle 4?

a)

angle 3

b)

angle 5

c)

angle 6

d)

angle 8

47.

Which pair of angles are alternate exterior angles?

a)

Angle 7 and Angle 4

b)

Angle 2 and Angle 6

c)

Angle 8 and Angle 1

d)

Angle 2 and Angle 8

48.

Which two angles are the remote interior angles to Angle W?

a)

Angle X and Angle Y

b)

Angle X and Angle Z

c)

Angle Y and Angle Z

d)

Angle Z and Angle W

49.

Find the value of x.

a)

-3

b)

9

c)

7

d)

-7

50.

Find the value of x.

a)

-4

b)

4

c)

1

d)

-12

51.

Find the value of x.

a)

5

b)

-4

c)

9

d)

7

52.

Solve for x.

a)

A

b)

B

c)

C

d)

D

53.

Solve for x.

a)

A

b)

B

c)

C

d)

D

54.

Solve for x.

a)

A

b)

B

c)

C

d)

D

55.

Which of these angles is NOT congruent to angle 5?

a)

Angle 6

b)

Angle 8

c)

Angle 1

d)

Angle 4

56.

Find x

a)

x = 55

b)

x = 27.25

c)

x = 35

d)

x = 13

57.

What is the algebraic notation of a figure is Translated 2 units right and 5 units up?

a)

(x, y) --> (x - 2, y - 5)

b)

(x, y) --> (x + 2, y + 5)

c)

(x, y) --> (x + 5, y - 2)

d)

(x, y) --> (5x, 2y)

58.

Determine how to translate triangle A'B'C' to triangle ABC.

a)

(x+2, y-5)

b)

(x+2, y-9)

c)

(x-2, y-9)

59.

What transformation is happening?
(x, y) ----> (x + 2, y - 3)

a)

slide up 2, left 3

b)

slide right 2, up 3

c)

slide right 2, down 3

d)

slide left 3, right 2

60.

The dashed figure is the image of the solid figure. What is the Algebraic Notation for the Translation?

a)

(x, y) --> (x - 7, y + 4)

b)

(x, y) --> (x + 7, y - 4)

c)

(x, y) --> (x + 4, y - 7)

d)

(x, y) --> (7x, 4y)

61.

The dashed figure is the image of the solid figure. What is the Algebraic Notation for the Translation?

a)

(x, y) --> (x - 6, y + 8)

b)

(x, y) --> (x + 6, y - 8)

c)

(x, y) --> (x + 8, y + 6)

d)

(x, y) --> (6x, 8y)

62.

Which of the following describes the sequence of transformations shown?

a)

Reflection followed by a rotation.

b)

Rotation followed by a translation.

c)

Reflection across the x-axis followed by a reflection across the y-axis.

d)

Translation followed by a rotation.

63.

Which sequence of transformations will result from shape F to its image shape F''?

a)

Reflection over both axes

b)

Reflection, then rotation

c)

Translation, then reflection

d)

Rotation, then translation

64.

What sequence of transformations will map trapezoid A to its image A'?

a)

Reflection, then translation

b)

Rotation, then translation

c)

Reflection, then rotation

d)

Rotation, then dilation

65.

What sequence of transformations maps the red parallelogram to the green parallelogram?

a)

A translation followed by a reflection.

b)

A rotation followed by a translation.

c)

A reflection followed by a translation.

d)

A reflection followed by a reflection.

66.

What sequence of transformations could map ∆ABC onto its image ∆A''B''C''?

a)

a reflection followed by a rotation

b)

a reflection followed by a translation

c)

a translation followed by a rotation

d)

a translation followed by a reflection

67.

The point (8, 12) was dilated to become point (2, 3). What was the scale factor?

a)

½

b)

¼

c)

4

d)

2

68.

Choose the correct scale factor:

a)

2

b)

3

c)

1/3

d)

1/2

69.

Choose the correct scale factor:

a)

2.5

b)

1.5

c)

3.5

d)

4

70.

Triangle A is rotated 270° counterclockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?

a)

A

b)

B

c)

C

d)

D

71.

How many degrees was the figure rotated?

a)

90 degrees counterclockwise

b)

180 degrees

c)

90 degrees clockwise

72.

What is the solution to this equation?

a)

one solution

b)

no solution

c)

infinite solutions

d)

none of these

73.

3(x-8)=3x-24

a)

No Solution

b)

x=3

c)

Infinite Solutions

74.

6(m+3)=2(m+5)

a)

No solution

b)

m=-2

c)

Infinite Solutions

75.

8m+12=2(4m+6)

a)

No Solution

b)

One Solution

c)

Infinite Solutions

Semester 1 Review

Total questions: 75

Worksheet time: 4hrs 43mins

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