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1.

Which of the following numbers are irrational and explain?

a)

a

b)

b

c)

c

d)

d

e)

e

2.

The number $1\ +\ \sqrt[]{8}$ would be closest to which whole number?

a)

2

b)

3

c)

4

d)

5

3.

Which of the following numbers are both a perfect square, and a perfect cube?

a)

81

b)

36

c)

27

d)

64

4.

$\pi^2$ ___ 9

Type <, >, or = to compare the numbers correctly.

a)

<

b)

>

c)

=

5.

$\sqrt[]{50}$ ___ 7

Type <, >, or = to compare the numbers correctly.

a)

<

b)

>

c)

=

6.

$\frac{5}{3}$ ___ $\sqrt[]{8}$

Type <, >, or = to compare the numbers correctly.

a)

<

b)

>

c)

=

7.

$-2\pi$ ___ $-6$

Type <, >, or = to compare the numbers correctly.

a)

<

b)

>

c)

=

8.

Which of the following expressions are equivalent to $\frac{1}{2^6}$ ?

a)

$2^{-5}\ \times\ 2^{-1}$

b)

$2^2\ \times\ 2^{-4}$

c)

$2^{-2}\ \times\ 2^{-3}$

d)

$2^2\ \times\ 2^{-8}$

e)

$\left(2^2\ \times\ 2^4\right)^{-1}$

9.

What is the value of the following expression:

$\left(\frac{3^6}{3^{-4}}\right)^2$

a)

$3^{20}$

b)

$3^4$

c)

$3^{12}$

d)

$undefined$

10.

When dividing two numbers with the same base but different exponents, simply ______ the exponents but keep the base.

a)

add

b)

divide

c)

subtract

d)

combine

11.

When multiplying two numbers with the same base but different exponents, simply ______ the exponents but keep the base.

a)

add

b)

divide

c)

subtract

d)

combine

12.

The sum of $7\times\ 10^{-8}$ and $8\ \times\ 10^{-9}$ = (a) $\times10^{-9}$

13.

How do you write
8.317 x 10⁶in standard form?

a)

8, 371, 000

b)

83, 170, 000

c)

837, 100

d)

8, 317, 000

14.

Write in scientific notation:
0.0000378

a)

3.78 x 10^-5

b)

3.78 x 10^-6

c)

0.378 x 10^-5

d)

0.378 x 10^-6

15.

$\left(4.1\times10^5\right)+\left(5.5\times10^6\right)$

a)

5.91 x 10⁶

b)

9.6 x 10⁵

c)

9.6 x 10¹¹

d)

4.65 x 10⁵

16.

$\left(8.0\times10^{13}\right)-\left(7.5\times10^{12}\right)$

a)

7.25 x 10¹³

b)

7.25 x 10¹²

c)

5.0 x 10¹²

d)

5.0 x 10¹³

17.

Multiply:
(3.4 x 10⁵)(1.2 x 10^-3)

a)

4.08 x 10^-8

b)

4.8 x 10²

c)

4.08 x 10²

d)

4.08 x 10^-15

18.

Solve:
(2.1×10²) × (3.0×10⁴)

a)

5.1 x 10²

b)

6.3 x 10⁶

c)

5.1 x 10⁶

d)

6.3 x 10⁸

19.

Solve:
(6 x 10⁶) / (2 x 10³)

a)

12 x 10³

b)

3 x 10⁹

c)

1.2 x 10⁴

d)

3 x 10³

20.

What is the simplified version of

a)

3.9 x 10⁶

b)

4 x 10²⁰

c)

4 x 10⁶

d)

3.9 x 10²⁰

21.

What is the value of the following expression, written as a decimal?

$\left(-\frac{1}{2}\right)^2\ +\ \sqrt[]{\left(2^3\ +\ 8\right)}$

(a)

22.

Calculate the value of the expression given. Write your answer in decimal form.

$\sqrt[3]{27}-1.4\left(\sqrt[]{3^2-5}\ \right)$

(a)

23.

$\left(-3x^3y^4\right)^2\cdot\left(3x^2y^5\right)^3$

a)

$-243x^{12}y^{23}$

b)

$243x^{12}y^{23}$

c)

$-9x^{12}y^{23}$

d)

$-9x^{12}y^{16}$

24.

$\frac{4x^3y^2}{12x^{-3}y^5}$

a)

$\frac{x^6}{3y^3}$

b)

$\frac{x^6}{8y^3}$

c)

$8x^6y^3$

d)

$3y^{-3}$

25.

Simplify (c⁵)(c²)(c²)

a)

c²⁰

b)

c⁹

c)

c¹¹

d)

3c⁴⁵

26.

Simplify the expression.

a)

2¹⁴ z¹³

b)

2²/z⁷

c)

2¹⁴/ z⁷

d)

2²z⁷

27.

3x (y + 4)

a)

3x3y + 4x

b)

3xy + 4x

c)

3xy + 12x

d)

3x + 3y + 12

28.

9 (2x + 5x)

a)

90x

b)

18x + 45

c)

18 + 45x

d)

63x

29.

Factor completley: 12x + 8y - 4z

a)

4( x + y + z)

b)

4 ( 3x - 2y + z)

c)

2 ( 6x + 4y -2z)

d)

4 ( 3x + 2y - z)

30.

Factor completely: 16 + 24x

a)

8 ( 2 + 3x)

b)

4 ( 4 + 7x)

c)

8 ( 2 - 3x)

d)

6 ( 4x + 3)

31.

Use the distributive property to rewrite the following expression: 5(2x + 6) + 4(10x - 2)

a)

10x + 30 + 40x - 8

b)

50x + 22

c)

50x - 22

d)

10x + 30 + 40x + 8

32.

13 = -2(y – 4) + 3y

y = ?

(a)

33.

-2n + 3 = 9

n = ?

(a)

34.

Solve:
3x + 15 = 3(x + 5)

a)

No Solution

b)

x = 15

c)

Infinitely Many Solutions

35.

What is the solution to the equations?

a)

one solution

b)

no solution

c)

infinite solutions

d)

none of these

36.

Solve:
2x + 1 = 2x - 1

a)

No Solution

b)

x = 0

c)

Infinitely Many Solutions

37.

What is the solution to this equation?

a)

one solution

b)

no solution

c)

infinite solutions

d)

none of these

38.

What is the scale factor from the smaller quadrilateral to the larger?

a)

scale factor = 4

b)

scale factor = 10

c)

scale factor = 3

d)

scale factor = 2

39.

What is the scale factor from shape A to shape B?

a)

1

b)

2

c)

3

d)

4

40.

This picture is an example of:

a)

rotation

b)

reflection

c)

translation

d)

dilation

41.

This picture is an example of:

a)

rotation

b)

reflection

c)

translation

d)

dilation

42.

This picture is an example of:

a)

rotation

b)

reflection

c)

translation

d)

dilation (enlargement)

43.

Looking at the top, darker triangle, how would you describe its' rotation to the position of the second lighter triangle?

a)

180 degrees clockwise

b)

90 degrees clockwise

c)

270 degrees counterclockwise (CCW)

d)

90 degrees counterclockwise (CCW)

44.

The radius of a circular clock is 13 centimeters. What is the area?

a)

530.66 cm²

b)

81.68 cm²

c)

40.84 cm²

d)

348.99 cm²

45.

a)

50.24 mm²

b)

103.62 mm²

c)

153.86 mm²

d)

615.44 mm²

e)

200.96 mm²

46.

Find the circumference, rounding your answer to nearest tenth of a mm.

a)

34.6mm

b)

31.4mm

c)

34.5mm

d)

17.3mm

47.

What is the total surface area of the cylinder to the nearest square inch?

a)

625 in²

b)

1301 in²

c)

1046 in²

d)

414 in²

48.

What is the total surface area formula for a cylinder?

a)

A = πrl + πr²

b)

A = 2πrh + 2πr²

c)

A = 4πr²

d)

A = πr²

49.

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

50.

Find the volume of the cylinder. Round your answers to the nearest tenth if necessary.

a)

16.4 cm³

b)

31.7 cm³

c)

31.4 cm³

d)

22.0 cm³

51.

Which of the following expressions is equivalent to 4(7x+10)?

a)

28x + 10

b)

7x + 40

c)

28x + 40

d)

17x + 4

e)

NOTA

52.

Elizabeth is given the following points to plot on a coordinate plane: (-1,2), (2, 4), (-3, 3), (-5, 2), (-2, -2), (3, -2), (2, -2), and (1, 3). Which quadrant on the coordinate plane will contain the most plotted points?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

e)

NOTA

53.

Sally is planning to install a fence surrounding a rectangular plot of land. She knows the length of the plot of land is 9/4 miles and the area of the land is 7/6 square miles. In simplest form, what is the width of the rectangular plot of land?

(a)

54.

Timmy and Tommy are brothers, but their father Tom likes Timmy more. So, for every 5 cookies, he gives 3 cookies to Timmy and the rest to Tommy. What is the ratio of Timmy's cookies to Tommy's cookies?

a)

3:5

b)

2:5

c)

2:3

d)

3:2

e)

NOTA

55.

On a busy Friday, an ice cream shop sold 17 hot fudge sundaes with sprinkles and 45 without sprinkles. What is the ratio of the number of hot fudge sundaes without sprinkles to the number of hot fudge sundaes with sprinkles sold on that day?

(a)

56.

Rachel put $640 into a savings account for one year. The rate of interest on the account was 9%. How much was the interest for the year? (Round to the nearest cent)

a)

$576.00

b)

$57.06

c)

$5.76

d)

$57.60

e)

NOTA

57.

Kaitlin lives on a coordinate grid at point (-5, 5). From there she travels to the market at point (-5, -1), then to the movies at point (3, -1), then to a restaurant at point (3, 4), then to her friend’s house at point (-5, 4), and finally back to her house at point (-5, 5). If each unit traveled represents 2 miles, how many miles did Kaitlin travel?

a)

28 miles

b)

50 miles

c)

26 miles

d)

56 miles

e)

NOTA

58.

Jennifer is the president of her school’s math club. She decides that every new member must take a 50-question test when they join. Each correct response is worth 3/5 points, each incorrect response is worth -2/5 points, and each question left blank is not scored. Nick takes the test and answers 34 questions correctly and 10 questions incorrectly. What is Nick’s score?

a)

102

b)

102/5

c)

82

d)

82/5

e)

NOTA

59.

Which of the following equations are true? I. x + x + 3x + 5 = 2x − 8x II. 12x + 9y = 3(4x+3y) III. 16x + (8 − 1) = 11x + 16

a)

I only

b)

II only

c)

III only

d)

I, II, and III

e)

NOTA

60.

Jack and Jill went up the hill to fetch a pail of water. In 3 hours, they were able to fetch 9 pails of water. Their mother wants them to fetch a total of 30 pails of water. How long will it take them to fetch the rest of the water?

a)

3 hours

b)

5 hours

c)

7 hours

d)

9 hours

e)

NOTA

61.

A food truck sold 12 fewer hotdogs than burgers yesterday. The food truck sold 48 burgers yesterday. What is the ratio of burgers sold to hotdogs sold yesterday?

a)

1:4

b)

3:4

c)

4:1

d)

4:3

e)

NOTA

62.

Sarah sells bead necklaces for $3 each. If she sold 18 necklaces in one day, spent $14 on food, and ended the day with $68, which of the following expressions can be used to determine how much money, x, she started off with that day?

a)

x + 3(18) − 14 = 68

b)

3x + 18 − 14 = 68

c)

x + 3(18) + 14 = 68

d)

x − 68 − 3(18) − 14

e)

NOTA

63.

Sam is traveling in France, where people use the metric system. He wants to go on a bike tour that is exactly 53.2 kilometers long. He wants to know how far this distance is in miles. If one kilometer is about 0.62 miles, how many miles long is the route for the bike tour? Round your answer to the nearest tenth.

a)

85.8 miles

b)

31.0 miles

c)

33.0 miles

d)

32.9 miles

e)

NOTA

64.

Simplify the expression: (16/7 - 6 + 3) - 4 = ?

a)

-76/7

b)

116/7

c)

212/7

d)

40/47

e)

NOTA

65.

In a survey, 375 students were asked whether they preferred Algebra or Geometry. Sixty-four percent of the students surveyed said they prefer Algebra. How many students prefer Geometry?

a)

173

b)

241

c)

135

d)

240

e)

NOTA

66.

What value of x makes the equation 4(3x + 7) - 15/2 = 30 + (6x + 28 + 6x) true?

a)

6

b)

4

c)

-4

d)

-2

e)

NOTA

67.

Farmer Josh wants to build an interestingly shaped pasture. He wants it to be made of 2 circles, one inside the other. If the inner circle has a diameter of 10 yards, and the outer circle has a diameter of 20 yards, what is the ratio (in simplest form) of the circumference of the outer circle to the circumference of the inner circle?

a)

10:20

b)

20:10

c)

1:2

d)

2:1

e)

NOTA

68.

A square has sides of 12 inches. Using A = a^2, what is the area of the square?

a)

48 in^2

b)

24 in^2

c)

140 in^2

d)

142 in^2

e)

NOTA

69.

Kayla wants to divide a 1/2 pound of shredded cheese into small bags. Each bag will hold 3 1/2 pound of shredded cheese. How many bags of shredded cheese can Kayla fill?

4 lines

70.

Alex, Andrew, Angie and Alexandra have bank balances of $75, -$20, $32 and -$58, respectively. Aaron’s bank balance is further from $0 than Angie’s, and is to the right of Alexandra’s balance when all values are plotted on a number line. Which of the following values could be Aaron’s bank balance?

a)

$30

b)

-$46

c)

-$74

d)

$14

e)

NOTA

71.

Alex, Bart, and Carol are discussing their bank account balances. Bart brags that he has -4/3 times as much money as Alex. Carol claims that she has 6/5 times as much money as Bart. If Carol has $20.00, how much money does Alex have?

a)

$30

b)

$15

c)

$45

d)

$25

e)

NOTA

72.

A panda weighs 150 lbs. It needs to exercise for 5 minutes per lb with an additional 15 minutes to maintain its health. How long does the panda need to exercise to maintain its health?

a)

2255 minutes

b)

735 minutes

c)

2245 minutes

d)

765 minutes

e)

NOTA

73.

A student athlete is training for a long-distance race and uses part of her lunch time to run on the school’s track. She can run a mile at a consistent pace of 5 1/4 minutes. If she keeps this pace and she has 35 1/2 minutes left for lunch, in simplest form, how many miles can she run in the remaining time?

a)

107/21 miles

b)

140/21 miles

c)

122/21 miles

d)

284/42 miles

e)

NOTA

74.

Ted loves 2 things more than anything else in the world: peanut butter and math. He decides that for every 2 hours he spends doing math, he will take 1 jar of peanut butter and hide it for himself. However, Ted’s sister hates peanut butter and doesn’t want Ted to smell like it, so she steals 1 jar from him every 4 hours. If Ted does math for 12 hours straight, how many jars of peanut butter will he have?

a)

12

b)

6

c)

3

d)

0

e)

NOTA

75.

At a large animal shelter, there are a total of 225 animals. This includes 7 turtles, 5 hamsters and 4 parrots. 200 of the animals are dogs, cats, and horses. If 76% of the animals are dogs, how many dogs are at the shelter?

a)

171

b)

152

c)

183

d)

164

e)

NOTA

76.

In Beacon Hills, if you are caught speeding, you receive a traffic ticket. The penalty is $35 for every mile over the speed limit. There is also an additional $5 to the ticket no matter how many miles you go over the speed limit. What is the equation if p represents the penalty and m represents the number of miles over the speed limit?

a)

( p = 5m + 35 )

b)

( p = 5p + 35 )

c)

( p = 35m )

d)

( p = 35m + 5 )

e)

NOTA

77.

Zelda wants to make more than $160 selling potions for $4 each, and Link wants to make more than $140 selling pots for $2 each. If x represents how many potions Zelda sells and y represents how many pots Link sells, which pair of inequalities accurately represents how many goods each merchant must sell to achieve their profit goals?

4 lines

78.

A factory in Houston produces writing utensils. The pens produced at the factory must be packed into boxes to be transported to stores. On Thursday, the factory produces 23,019 pens. If each box can hold up to 24 pens, what is the minimum number of boxes needed to pack all the pens produced that day?

a)

949 boxes

b)

951 boxes

c)

959 boxes

d)

960 boxes

e)

NOTA

79.

Cole has one week to write test questions for the Mighty Mu math competition coming up. However, he also has to paint the exterior of his house this week, creating a time constraint, so he makes a deal with his parents: for every 4 hours spent painting, Cole will receive 0.5 hours of free time, and for every 1.5 hours of free time, Cole can write 2 Mighty Mu test questions. In this scenario, which of the following variables serves as both a dependent and an independent variable?

a)

Hours spent painting

b)

Hours of free time

c)

Number of questions written

d)

Cole’s parents

e)

NOTA

80.

A car is traveling 120 miles in 3 hours at a constant speed. How long will it take to drive 200 miles?

a)

4. 5 hours

b)

5 hours

c)

6 hours

d)

4 hours

81.

945 / 27 =

a)

33

b)

35

c)

45

d)

43

82.

42 x 12 =

a)

604

b)

504

c)

602

d)

502

83.

(3+5) x 20 = 160

a)

150

b)

155

c)

160

d)

165

84.

2/4 + 3/12 =

a)

4/4

b)

8/12

c)

9/12

d)

2/12

85.

50% of 24 =

a)

48

b)

12

c)

6

d)

24

86.

75% of 80 is

a)

60

b)

40

c)

20

d)

65

87.

126 / 6 =

a)

32

b)

24

c)

31

d)

21

88.

Laura is planning a garden and wants to plant 3 types of flowers: roses, tulips, and daisies. If she plants them in a ratio of 5:3:2 respectively, and she has 40 flowers in total, how many of each type of flower does she plant?

a)

20 roses, 12 tulips, 8 daisies

b)

25 roses, 10 tulips, 5 daisies

c)

15 roses, 15 tulips, 10 daisies

d)

10 roses, 15 tulips, 15 daisies

e)

NOTA

89.

A train travels 60 miles in 1.5 hours. At the same rate, how far will the train travel in 4 hours?

a)

160 miles

b)

120 miles

c)

200 miles

d)

240 miles

e)

NOTA

90.

If a rectangle's length is twice its width and the perimeter of the rectangle is 36 inches, what is the area of the rectangle in square inches?

a)

48 sq in

b)

64 sq in

c)

72 sq in

d)

96 sq in

e)

NOTA

91.

27/108 =

a)

6/14

b)

9/17

c)

3/12

d)

.30

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Total questions: 91

Worksheet time: 3hrs 22mins

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