Free Printable Module 1-6 Test Review (mods 1, 2, 3)

1.

The population of Texas is about 4.36 x $10^9$ . The population of North Dakota is about 2.18x $10^4$ . About how many times as large as Texa's population is the population of North Dakota?

a)

20,000

b)

200,000

c)

2,000

d)

2,000,000

2.

In-state students from Minnesota pay $1.4 x 10⁴ for tuition at the University of Minnesota. Out-of-state students pay $2.4 x 10⁴ for tuition. How many times more does an out-of-state student pay than an in-state student?

a)

About 17 times more.

b)

About 1 times more.

c)

About 0.58 times more.

d)

About 1.7 times more.

3.

$\left(7^2\right)^{-3}\cdot\ 7^{8\ }$

a)

$7^2$

b)

$\frac{1}{7^2}$

c)

$7^7$

d)

$7^3$

4.

Simplify using a single positive exponent.

$3^{-2}\cdot3^{-7}$

a)

$3^{-9}$

b)

$\frac{1}{3^9}$

c)

$3^{14}$

d)

$\frac{1}{3^{14}}$

5.

Which best represents point Z on the number line?

a)

$4\sqrt[3]{64}$

b)

$4\sqrt[3]{28}$

c)

$9+\sqrt[3]{10}$

d)

$2\ \sqrt[]{28}$

6.

Which number is irrational?

a)

9.6

b)

$\sqrt[]{45}$

c)

3/8

d)

$\sqrt[]{49}$

7.

Which approximation is closest to $3\sqrt[3]{124}$

a)

186

b)

5

c)

33

d)

15

8.

Select ALL numbers that are irrational.

a)

$\sqrt[]{16}$

b)

-21

c)

$\pi$

d)

$\frac{10}{2}$

e)

$\sqrt{10}$

9.

x represents an irrational number that lies between $\sqrt[]{102}$ and $5\ \sqrt[]{8}$ .

Which could represent the value of x?

a)

$\sqrt[]{99}$

b)

$\sqrt[]{121}$

c)

$4\ \sqrt[]{9}$

d)

$4\ \sqrt[]{7}$

10.

Circle X has an area of 9π cm².

Circle Y has an area of $\frac{\sqrt[]{3}}{2}$ cm².

Circle Z has an area of $\sqrt[3]{130}$ cm².

Which list correctly places the area of the circles in order from greatest to least?

a)

Circle Z, Circle Y, Circle X

b)

Circle Y, Circle Z, Circle X

c)

Circle X, Circle Z, Circle Y

d)

Circle X, Circle Y, Circle Z

11.

A baseball stadium holds 63,000 people. There is one concession stand for every 7,000 people.

Which expression represents the number of concession stands?

a)

$\frac{6.3\ x\ 10^5}{7\ x\ 10^4}$

b)

$\frac{6.3\ x\ 10^4}{7\ x\ 10^4}$

c)

$\frac{6.3\ x\ 10^4}{7\ x\ 10\ ^3}$

d)

$\frac{7\ x\ 10^3}{6.3\ x\ 10^4}$

12.

Find the Volume of the Sphere

a)

904.32 ft³

b)

7,234.56 ft³

c)

150.72 ft³

13.

Find the height of a cylinder if the volume is $160\pi$ and the radius is 4.

a)

8,042

b)

10

c)

16

d)

1.3

14.

A cone has a height of 12 ft and a diameter of 6 ft. What is the volume of the cone?

a)

1357.17 ft³

b)

452.39 ft³

c)

339.29 ft³

d)

113.10 ft³

15.

Estimate the volume of this figure.

a)

163 in³

b)

18 in³

c)

283 in³

d)

324 in³

16.

Which series of transformations were performed in the figure?

a)

Translation 5 units down, reflection over the y-axis

b)

Reflection over the x-axis, translation 6 units right

c)

Rotation 90^oclockwise, reflection over the x-axis

d)

Rotation 180^oclockwise, reflection over the y-axis

17.

Describe a sequence of transformations that maps figure A onto figure B.

a)

A translation 4 units right followed by a reflection across the x-axis

b)

A reflection across the x-axis followed by a reflection across the y-axis

c)

A reflection across the y-axis followed by a translation 6 units down

d)

A 90° counter-clockwise rotation about the Origin followed by a reflection across the y-axis

18.

Fix the value of the missing side and state whether it is rational or irrational?

a)

$\sqrt[]{57},\ irrational$

b)

$\sqrt[]{57},\ rational$

c)

$\sqrt[]{185},\ irrational$

d)

$\sqrt[]{185},\ rational$

19.

Find the length of the missing side.

a)

48 in.

b)

52 in.

c)

16 in.

d)

24 in.

20.

a)

$2\frac{23}{100}$

b)

$\frac{223}{99}$

c)

$2\frac{23}{9}$

d)

$2\frac{23}{99}$

21.

Convert the following decimal into a fraction.

0.\overline{45}

a)

5/9

b)

6/11

c)

4/9

d)

5/11

22.

$\left(1.8\ x\ 10^{-3}\right)^2\ =\ ?$

a)

$3.24\ x\ 10^{-6}$

b)

$3.24\ x\ 10^{-5}$

c)

$3.24\ x\ 10^0$

d)

$3.24\ x\ 10^6$

23.

A piece of paper that Brittany has is 11 inches tall and 8 inches wide. She draws a straight line diagonally across the paper. How long is the line she drew?

a)

7.5 in

b)

12.4 in

c)

13.6 in

d)

14.3 in

24.

Johnathan is painting the side of his home. He has a 25 foot ladder and leans the ladder against his house. The base of the ladder is five feet from the side of the house. How far up the house will the ladder reach?

a)

24.5 ft

b)

25.5 ft

c)

26.5 ft

d)

23.5 ft

25.

$If\ x^2=\ 64,\ then\ x=\pm8$

a)

True

b)

False

26.

$If\ x^3=\ 64,\ then\ x=\pm4$

a)

True

b)

False

27.

Which statement is true about $\sqrt[]{7}\cdot\sqrt[]{7}$ ?

a)

It is irrational since $\sqrt[]{7}$ is irrational.

b)

It is rational since $\sqrt[]{7}$ is rational.

c)

It is rational since $\sqrt[]{7}\cdot\sqrt[]{7}=\sqrt[]{49}$ is rational.

d)

It is irrational since the product of two irrational numbers is always irrational.

28.

When a sphere has a volume of 972π, what is the radius of the sphere?

a)

9

b)

7

c)

18

d)

21

29.

Find the radius of a cylinder with a height of 5 cm and a volume of $90\pi\ cm^3$ .

a)

9

b)

18

c)

$\sqrt[]{5}$

d)

$\sqrt[]{18}$

30.

A cylindrical pipe has a radius of 4 inches and a height of 65 inches. The pipe will be

cut into 5 equal pieces. What is the volume of each piece?

a)

3265.6 $in^3$

b)

653.12 $in^3$

c)

816.4 $in^3$

d)

163.28 $in^3$

31.

Which transformation does not produce a congruent figure?

a)

translation

b)

reflection

c)

rotation

d)

dilation

32.

Triangle XYZ is rotated $180\degree.$ Which of the statements is true?

a)

$\angle X\ =\angle X'$

b)

$\angle X$ is greater than $\angle X'$

c)

$\angle X$ is less than $\angle X'$

d)

$\angle X'$ is half of $\angle X$

33.

Which transformations affect orientation? Select all that apply.

a)

translation

b)

reflection

c)

rotation

d)

dilation

34.

Find the distance between J and K.

a)

8.2

b)

7.7

c)

9

d)

10.2

35.

Find the distance between (1,2) (-1,-2)

a)

4.5

b)

4.4

c)

5

d)

20

Module 1-6 Test Review (mods 1, 2, 3)

Total questions: 35

Worksheet time: 1hrs 21mins

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