Free Printable Semester 2 Review

1.

There are 15 animals in a barn. These animals are horses and chickens. There are 44 legs in all. Which system of equations represents the situation?

a)

x + y = 15
4x + 2y = 44

b)

4x + 2y = 15
x + y = 44

c)

x = 2y + 44
4x = y + 15

d)

2x - 4y = 44
x - y = 15

2.

The talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were $1740, which system could be used to find how many of each type of ticket were sold?

a)

S + A = 530
3S + 4A = 1740

b)

S + A = 530
4S + 3A = 1740

c)

S + A = 1740
3S + 4A = 530

d)

S + A = 1740
4S + 3A = 530

3.

At a college bookstore, Carla purchased a math textbook and a novel that cost a total of $54, not including tax. If the price of the math textbook, t, is $8 more than 3 times the price of the novel, n, which system of linear equations could be used to determine the price of each book?

a)

t + n = 54

t = 3n + 8

b)

t + n = 54

n = 3t + 8

c)

t + n = 54

t = 3n - 8

d)

t + n = 8

t = 3n + 54

4.

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes. Which system of equations represents the situation?

a)

3H + 2D = 315

2H + 4D = 450

b)

3H + 2D = 450

2H + 4D = 315

c)

2H + 4D = 315

3H + 2D = 450

d)

3H + 2D = 315

2H + 2D = 135

5.

There are 50 donkeys and chickens on a far. There are a total of 174 legs. Which system below can be used to figure out how many of each animal the farm has?

a)

d + c = 174
4d + 2c = 50

b)

d + c = 50
4d + 2c = 174

c)

d + c = 50
2d + 4c = 174

d)

d + c = 174
2d + 4c = 50

6.

What is the solution to the system?

a)

(0, 3)

b)

(1, -1)

c)

(-3, 1)

d)

(1, 3)

7.

What is the solution to the system?

a)

(3, -1)

b)

(2, -6)

c)

No Solution

d)

(6, -2)

8.

Lesly graphed two lines in order to find the solution to a given system of equations.
What is the solution?

a)

(-3,-8)

b)

(-8,-3)

c)

(3,-8)

d)

(8,3)

9.

Slopes of parallel lines are...

a)

opposite reciprocals.

b)

opposites.

c)

the same.

d)

always 7.

10.

Slopes of perpendicular lines are...

a)

opposite reciprocals.

b)

opposites.

c)

the same.

d)

always 7.

11.

What slope is perpendicular to:
m = 5/8

a)

-5/8

b)

5/8

c)

-8/5

d)

8/5

12.

Are the lines parallel, perpendicular, or neither?
y = 3x – 7
y = 3x + 1

a)

Parallel

b)

Perpendicular

c)

Neither

13.

y = 9 /2 x - 4 and 2x + 9y = 18

a)

Parallel

b)

Perpendicular

c)

Neither

14.

y = - 5 /3 x + 14 and -5x + 3y = -9

a)

Parallel

b)

Perpendicular

c)

Neither

15.

y = 1 /2 x - 15 and -x + 2y = 6

a)

Parallel

b)

Perpendicular

c)

Neiter

16.

Which equation represents a line that is parallel to this line: $y=\frac{5}{7}x+2$

a)

$y=-\frac{7}{5}x+1$

b)

$y=\frac{7}{5}x+4$

c)

$y=-\frac{5}{7}x-3$

d)

$y=\frac{5}{7}x+5$

17.

A line is perpendicular to $y=2x-7.$ What is the slope of this line?

a)

$-2$

b)

$\frac{1}{2}$

c)

$-\frac{1}{2}$

d)

$2$

18.

Which of these is an example of a rational number?

a)

√4

b)

√5

c)

√3

d)

√2

19.

Which of these is an example of an irrational number?

a)

√2

b)

√1

c)

√9

d)

√25

20.

Select the irrational numbers

a)

$\sqrt{50}$

b)

2

c)

$\pi$

d)

2.3454128904

21.

A rational number can be written as a fraction.

a)

true

b)

false

22.

pi - 3.141592....

a)

Rational

b)

Irrational

23.

.141414141414...

a)

Rational

b)

Irrational

24.

√25

a)

Rational

b)

Irrational

25.

4π

a)

rational

b)

irrational

26.

Which of these is an example of a terminating decimal?

a)

1⁄2

b)

1⁄3

c)

2⁄3

d)

1⁄7

27.

Which of these is an example of a repeating number?

a)

1⁄3

b)

1⁄4

c)

1⁄5

d)

1⁄10

28.

a)

7 and 8

b)

8 and 9

c)

17 and 18

d)

35 and 36

29.

Which number is between 7 and 8?

a)

√7

b)

√42

c)

√59

d)

√68

30.

The √98 falls between what two numbers on a number line?

a)

10 and 11

b)

11 and 12

c)

9 and 10

d)

90 and 100

31.

between which if these does √27 lay on a number line

a)

5 and 6

b)

6 and 7

c)

4 and 5

d)

who cares i wanna go home

32.

a)

-30x¹¹

b)

-30x¹⁸

c)

-x¹¹

d)

-x¹⁸

33.

a)

-15x²yz⁴

b)

1

34.

a)

b)

16c³d³

c)

d)

35.

a)

$\frac{27x^{15}z^3}{y^6}$

b)

$\frac{9x^{15}z^3}{y^6}$

c)

$27x^8yz^4$

d)

$\frac{27x^8z^4}{y}$

36.

THE PRODUCT RULE FOR EXPONENTS YOU....

a)

subtract

b)

add

c)

multiply

d)

divide

37.

QUOTIENT RULE FOR EXPONENTS YOU....

a)

add

b)

divide

c)

multiply

d)

subtract

38.

The power rule for exponents you....

a)

divide

b)

multiply

c)

subtract

d)

add

39.

$5^3\cdot5^4$

a)

$5^2$

b)

$5^7$

c)

$5^6$

d)

$5^{10}$

40.

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

a)

$5$

b)

$5^5$

c)

$5^2$

d)

$5^8$

41.

$5^{-1}$

a)

$\frac{1}{5}$

b)

$\frac{1}{5^{100}}$

c)

$\frac{1}{5^3}$

d)

$\frac{1}{5^2}$

42.

Simplify: (5p⁹q³)(2pq⁷)

a)

7p¹⁰q¹⁰

b)

10p⁹q²¹

c)

10p¹⁰q¹⁰

d)

10p⁸q^-4

43.

UNDERSTANDING
If the exponent is a negative number...

a)

you will get a large number

b)

you will get a small number

44.

UNDERSTANDING
If the exponent is a positive number...

a)

you will get a large number

b)

you will get a smaller number

45.

Write in scientific notation:
0.0000378

a)

3.78 x 10^-5

b)

3.78 x 10^-6

c)

0.378 x 10^-5

46.

Convert to scientific notation:
520,000,000

a)

52 x 10⁷

b)

5.2 x 10⁷

c)

5.2 x 10⁸

d)

0.52 x 10⁹

47.

Write 9,450,000 in scientific notation.

a)

9.45 x 10⁴

b)

9.45 x 10⁵

c)

9.45 x 10⁶

d)

.945 x 10⁷

48.

The closest galaxy to our own is over 2,500,000 light years away. Write this number is scientific notation.

a)

2.5 x 10⁷

b)

.25 x 10⁷

c)

25 x 10⁵

d)

2.5 x 10⁶

49.

Correctly Write in Scientific Notation

$0.045\times10^9$

a)

$0.45\times10^{10}$

b)

$4.5\times10^{11}$

c)

$4.5\times10^7$

d)

$45\times10^8$

50.

Correctly type in Scientific Notation

$14.5\ \times10^5$

a)

$145\times10^6$

b)

$1.45\times10^6$

c)

$1.45\times10^4$

d)

$14.5\times10^6$

51.

Which of the following is correct scientific notation?

a)

20.35 x 10⁴

b)

.2035 x 10⁴

c)

2035⁴

d)

2.035 x10⁴

52.

Which is the largest?
4.8 x 10^-6
1.3 x 10²⁰3.1 x 10^-49.2 x 10^-59.5 x 10³²5.9 x 10^-52.9 x 10²¹8.4 x 10¹⁹

a)

9.5 x 10³²

b)

3.1 x 10^-4

c)

8.4 x 10¹⁹

d)

4.8 x 10^-6

53.

Multiply.

Write the answer in scientific notation.

(2 x 10⁹)(4 x 10⁴)

a)

8 x 10⁵

b)

6 x 10¹³

c)

8 x 10¹³

d)

8 x 10³⁶

54.

Divide:
(6.9 x 10⁷) / (2.3 x 10^-3)

a)

3 x 10¹⁰

b)

3 x 10⁴

c)

3 x 10^-4

d)

3 x 10^-11

55.

Write the answer in scientific notation.
7.3 x 10⁵ + 3.7 x 10⁵ =

a)

11.0 x 10⁵

b)

1.1 x 10¹⁰

c)

1.10 x 10¹¹

d)

1.1 x 10 ⁶

56.

a)

7/50

b)

14/9

c)

7/45

d)

14/99

57.

a)

77/25

b)

77/250

c)

308/9

d)

308/999

58.

a)

3/10

b)

1/3

c)

1/9

d)

30/99

59.

a)

1/2

b)

1/10

c)

1/100

d)

1/9

60.

Order 3π, √ 10 , and 3.25 from least to greatest.

a)

√ 10, 3π, 3.25

b)

√ 10, 3.25, 3π

c)

3π, 3.25, √ 10

d)

3.25, √ 10, 3π

61.

Which list of numbers is in order from least to greatest?

a)

A √23, 5, 6, 43%

b)

B 5, √23, 6, 43%

c)

C 43%, 5, √23, 6

d)

D 43%, √23, 5, 6

62.

Place the numbers in order from least to greatest

a)

π, 31%, -0.32, 1/3, 3.1

b)

-0.32, 31%, 1/3, 3.1, π

c)

-0.32, 1/3, 31%, 3.1, π

d)

-0.32, 31%, 1/3, π, 3.1

63.

Do the segment lengths 15, 12, and 9 form a right triangle?

a)

Yes

b)

No

c)

Maybe

d)

Pythagoras

64.

Which side lengths would form a right triangle?

a)

3, 5, 6

b)

2, 8, 10

c)

3, 4, 5

d)

7, 12, 15

65.

Do these side lengths form a right triangle? Remember, it doesn't matter what the drawing LOOKS like, it matters if the side lengths prove that it is a right triangle!

a)

yes

b)

no

66.

What is the length of the hypotenuse of the right triangle above? Round your answer to the nearest tenth.

a)

13.8 units

b)

13.7 units

c)

13.9 units

d)

13.6 units

67.

What is the length of the hypotenuse of the right triangle above? Round your answer to the nearest tenth.

a)

5.3 cm

b)

5.5 cm

c)

5.4 cm

d)

5.6 cm

68.

What is the length of the hypotenuse of the right triangle above? Round your answer to the nearest tenth.

a)

18.2 mi

b)

18 mi

c)

18.3 mi

d)

18.1 mi

69.

What is the volume of the cylinder expressed in terms of pi?

$V=\pi r^2h$

a)

$180\pi\ cm^3$

b)

$1200\pi\ cm^3$

c)

$120\pi\ cm^3$

d)

$60\pi\ cm^3$

70.

Find the volume. Leave your answer IN TERMS OF $\pi$ .

a)

$179\pi$

b)

$33\pi$

c)

$57\pi$

d)

$540\pi$

71.

Find the volume of the composite solid.Leave your answer in terms of $\pi$ .

a)

$60\pi$

b)

$100\pi$

c)

$188\pi$

72.

Find the volume of the sphere. Round to the nearest tenth.

a)

904.8 ft³

b)

7,238.2 ft³

c)

288.0 ft³

73.

Find the volume of the cone. Round your answers to the nearest tenth.

a)

127.3 yd³

b)

347.6 yd³

c)

287.7 yd³

d)

147.7 yd³

74.

Find the volume of this shape

a)

1520.53

b)

276.46

c)

552.93

d)

6082.12

75.

Find the volume to the nearest hundredth using 3.14 instead of Pi.

a)

5572.45 cm³

b)

506.59 cm³

c)

126.65 cm³

d)

1393.11 cm³

Semester 2 Review

Total questions: 75

Worksheet time: 5hrs 40mins

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