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The Big Quiz 2

Total questions: 100

Worksheet time: 50mins

Name
Class
Date
1.

x3−5x=x^3 - 5x =

a)

x(x2−5)x(x^2 - 5)

b)

x2(x−5)x^2(x - 5)

c)

(x−5)(x2−x)(x - 5)(x^2 - x)

d)

(x−5)(x2+1)(x - 5)(x^2 + 1)

2.

The width of a rectangle is 10 inches. The length of the rectangle is three times as long as the width. Which of the following represents the perimeter of the rectangle in inches?

a)

(10 + 10 + 30 + 30)

b)

(10 + 30)

c)

(10 x 30)

d)

2(10 x 30)

3.

2x2+5x−3=2x^2 + 5x - 3 =

a)

(2x - 3)(x + 1)

b)

(2x + 3)(x - 1)

c)

(2x - 1)(x + 3)

d)

(2x + 1)(x - 3)

4.

Students in Ms. Rome’s science class used scales to measure the mass of different marbles in grams. The masses were 5.7g, 5.8g, 6.2g, 5.9g, and 6.0g. What measure would be the best estimate the mass of a random marble?

a)

Minimum

b)

Maximum

c)

Mode

d)

Mean

5.

If 3(4x + 2) = 7, then x =

a)

12

b)

1/2

c)

5/12

d)

1/12

6.

A box contains 3 white chocolate, 5 dark chocolate, and 4 milk chocolate candies. One candy is selected at random. What is the probability that a randomly selected candy is milk chocolate?

a)

1/4

b)

1/3

c)

1/2

d)

3/4

7.

21, 22, 75, 64, 23, 12, 39, x If a number is chosen at random from the list above, the probability that a multiple of 2 will be chosen is 1/2. Which of the following could be the value of x?

a)

11

b)

25

c)

28

d)

37

8.

At a convenience store, Mason bought 3 more than twice as many items as Wendy. If x is the number of items Wendy bought, which expression represents the total number of items Mason and Wendy bought together?

a)

A. 2x + 3

b)

B. 3x + 3

c)

C. 3x + 2

d)

D. 4x + 6

9.

If 4x + 1 = 10, what is the value of x?

a)

4/11

b)

4/9

c)

9/4

d)

11/4

10.

Jenny has a square garden with a side length of 9 feet. She wants to enlarge the garden into a rectangle by increasing the length by 3 feet and the width by 2 feet. How much extra square footage will be added to the garden by this expansion?

a)

6

b)

12

c)

29

d)

51

11.

If y = 2x2−4x−52x^2 - 4x - 5 , what is the value of y when x = -3?

a)

-11

b)

1

c)

19

d)

25

12.

Which of the following equations matches the function in the graph above?

a)

f(x)=2x2f(x) = 2x^2

b)

f(x)=x2+1f(x) = x^2 + 1

c)

f(x)=(x−2)2+1f(x) = (x - 2)^2 + 1

d)

f(x)=(x+2)2+1f(x) = (x + 2)^2 + 1

13.

In the triangle above, if t = 7, what is the value of r?

a)

4

b)

6

c)

3√2

d)

2√6

14.

A filling machine can fill 2,100 bottle of soda per hour. At this rate, how many bottles of soda can be filled in 16 minutes? (1 hour = 60 minutes)

a)

131

b)

336

c)

525

d)

560

15.

If 1 - (x/7) = 3x + 1, then x =

a)

-7/5

b)

0

c)

7/10

d)

7

16.

Mary is 6 feet tall and casts a 9-foot shadow. If a tree next to her casts a shadow that is 36 feet long, how tall is the tree?

a)

12 ft

b)

24 ft

c)

33 ft

d)

54 ft

17.

The number of students going to the nurse for 5 consecutive weeks is shown in the line graph above. Which of the following is closest to the percent decrease in nurse visits from week 2 to week 3?

a)

20%

b)

30%

c)

45%

d)

60%

18.

If Tiffany is tiling her bathroom that is 9ft by 12ft, and the cost of a single 1 square foot tile is $1.75, how much will it cost to fully tile her bathroom? (Area = Length x Width)

a)

$36.75

b)

$108.00

c)

$109.75

d)

$189.00

19.

Using the graph above, which basketball team scores an average of more than 70 points per game?

a)

Pelicans

b)

Rockets

c)

Clippers

d)

Bucks

20.

Which of the following equations has a solution of x = 5?

a)

x2=10x^2 = 10

b)

√(3x + 1) = 4

c)

3x2=2253x^2 = 225

d)

√4x = 10

21.

If the diameter of a circle is 21 inches, what is the circumference of the circle? (C = πd, use π = 22/7)

a)

60 in.

b)

63 in.

c)

66 in.

d)

69 in.

22.

If the base angles of an isosceles triangle measure 65°, which expression can be used to calculate the measure of the third angle?

a)

180° + 65°

b)

108° - 65°

c)

180° + 2(65°)

d)

180° - 2(65°)

23.

Joey can assemble x boxes per minute, and Tristan can assemble y boxes per minute. If Joey assembles 3 more boxes than Tristan every minute, which of the following equations represents this?

a)

A. xy = 3

b)

B. x - y = 3

c)

C. x/y = 3

d)

D. y - x = 3

24.

A pair of headphones are on sale for 20% off. If the sale price is $64.00, what is the normal price of the headphones?

a)

$48.00

b)

$51.20

c)

$76.80

d)

$80.00

25.

The conversion from temperature in degrees Celsius (C) to Kelvin (K) can be calculated using the equation K = C + 273. What is the temperature in degrees Celsius for a temperature of 10 degrees Kelvin?

a)

-283°C

b)

-263°C

c)

263°C

d)

283°C

26.

If the price of 3 chocolates is $1.95, what is the price of 14 chocolates?

a)

$6.50

b)

$7.80

c)

$9.10

d)

$9.75

27.

Based on the graph, which of the following is a true statement about the average number of cars sold by the three car lots?

a)

The average in December was 60 cars.

b)

The average in September was 60 cars.

c)

The average in October was 50 cars.

d)

The average in November was greater than the average in October.

28.

P = (5/7)x-200

The profit made from selling popcorn at a movie theater is shown above where x is the number of bags of popcorn sold and P is the profit in dollars. How much profit is made when 14,000 bags of popcorn are sold?

a)

$5,400

b)

$9,800

c)

$15,400

d)

$19,880

29.

If √(x - 3) = 5, then what is x?

a)

A. 8

b)

B. 25

c)

C. 28

d)

D. 64

30.

The area of a triangle is one-half of the base times the height. If the area of a triangle is 45 and it has a base of 15, what is the height?

a)

3

b)

4

c)

5

d)

6

31.

Which of the following situations is represented by the given equation below? (x/3) + 6 = 5

a)

Six more than a number n equals 5.

b)

Six more than one-third of a number x equals 5.

c)

Three more than a number x divided by 6 equals 5.

d)

A number x plus one-third of 6 equals 5.

32.

A residential flagpole is typically 20 feet tall. Approximately how tall is that same flagpole in yards? (1 yard = 3 feet)

a)

2

b)

7

c)

8

d)

10

33.

2x² + 5x - 12 =

a)

(x - 6)(2x + 2)

b)

(x - 3)(2x + 4)

c)

(x + 2)(2x - 6)

d)

(x + 4)(2x - 3)

34.

The price in dollars of items at a store is set using the equation P = C + (1/10)C, where C is the cost in dollars and P is the price in dollars. If an item has a price of $55.00, what is the initial cost for the item?

a)

$50.00

b)

$54.90

c)

$55.10

d)

$60.50

35.

Which of the following is the factored form of x2−3x−18x^2 - 3x - 18 ?

a)

(x - 6)(x + 3)

b)

(x - 3)(x + 6)

c)

(x - 2)(x + 9)

d)

(x - 9)(x + 2)

36.

A bowl of Skittles has 6 green, 10 red, and 8 yellow Skittles. What is the calculation for the probability of randomly selecting a red Skittle, eating it (no replacing), and then randomly selecting a green Skittle?

a)

10/24 + 6/24

b)

10/24 + 6/23

c)

10/24 × 6/24

d)

10/24 × 6/23

37.

In which of the following histograms are the mean and median most likely to be equal?

a)

A. [Histogram A]

b)

B. [Histogram B]

c)

C. [Histogram C]

d)

D. [Histogram D]

38.

If the two triangles above are similar, What is the value of x?

a)

5

b)

7.5

c)

8

d)

13⅓

39.

If the mean cost of a scoop of ice cream is $0.73, what is the cost of a scoop of Vanilla ice cream?

a)

$0.54

b)

$0.67

c)

$0.79

d)

$0.84

40.

The mean of three numbers is 14. If the first two are 10 and 6, what is the value of the third number?

a)

16

b)

18

c)

24

d)

26

41.

Riley jogged 9.6 miles to an ice cream shop and it took 1.7 hours. At that same rate, about how many hours would it take Riley to jog 20 miles?

a)

3 hours

b)

3.5 hours

c)

6 hours

d)

6.5 hours

42.

If 4x - 3 = 2x, then 12x =

a)

6

b)

8

c)

18

d)

24

43.

Tyler bought 7 brownies at a bakery. Some brownies cost $3 each and the rest cost $4 each. If he paid $23 for all of the brownies, how many $3 brownies did he buy?

a)

Two

b)

Three

c)

Four

d)

Five

44.

The average of 4 numbers is 9. If the first number is 7, what is the sum of the other 3 numbers?

a)

2

b)

12

c)

29

d)

36

45.

A bedroom has dimensions of 8 feet by 12 feet. If new carpet costs $1.25 per square foot, how much would it cost to re-carpet the entire bedroom?

a)

$120.00

b)

$97.25

c)

$96.00

d)

$25.00

46.

What value for y would make the equation y² = 18y - 81

a)

-9

b)

-9/2

c)

9/2

d)

9

47.

If 3x + y + 4 - (y + 6) = 14 + x, what is x?

a)

2

b)

3

c)

6

d)

8

48.

How many solutions does the following system of equations have? 3x + 4y = 5 3x + 4y = 4

a)

Zero

b)

One

c)

Two

d)

Infinitely many

49.

On a scale drawing of a hotel, the hotel is 2½ inches tall. The scale is ¼ inches = 6 feet. What is the actual height of the hotel?

a)

A. 15 feet

b)

B. 24 feet

c)

C. 48 feet

d)

D. 60 feet

50.

An orchard planted apple trees in rows. There are 6 apple trees in the front row and each additional row has 3 more apple trees than the row before it. If there are 18 rows of apple trees, how many apple trees are on the orchard?

a)

A. 324

b)

B. 426

c)

C. 456

d)

D. 567

51.

Mark has two fewer dogs than Sean. If x represents the number of dogs Mark has, which expression represents the number of dogs Sean has?

a)

2x

b)

2 + x

c)

2 - x

d)

x - 2

52.

A certain number x is 6 more than a second number. Which of the following expressions represents the second number?

a)

x + 6

b)

x - 6

c)

x + 6

d)

x • 6

53.

If x² + 6x + 8 = 0, then x could equal which of the following?

a)

4

b)

2

c)

-2

d)

-8

54.

The table shows the number of shots made by players on a basketball team:

If the median score was 31, what could have been the number of shots that Charles scored?

a)

30

b)

36

c)

42

d)

48

55.

What is the equivalent factored form of 3x² - 14x - 5?

a)

(3x - 1)(x + 5)

b)

(3x - 5)(x + 1)

c)

(3x + 1)(x - 5)

d)

(3x + 5)(x - 1)

56.

Rodney had $380 in the bank. If he took out $40, which expression represents how many dollars remain in the bank?

a)

380 + 40

b)

40 × 380

c)

380 ÷ 40

d)

380 - 40

57.

By the end of Tuesday, the city of Fargo had gotten 6½ inches of snow. On Wednesday, Fargo got 2½ inches of more snow, and on Thursday got yet another 2½ inches of snow. How much snow had fallen in Fargo by the beginning of Friday?

a)

A. 8½ inches

b)

B. 9 inches

c)

C. 11 inches

d)

D. 11½ inches

58.

Which of the following expressions is equivalent to (11 + 5)(11 - 5)?

a)

162−6216^2 - 6^2

b)

162+6216^2 + 6^2

c)

112−5211^2 - 5^2

d)

112+5211^2 + 5^2

59.

Using the image above, solve for a in terms of c?

a)

c - 3

b)

c2−9c^2 - 9

c)

c2−9\sqrt{c^2 - 9}

d)

c2+9\sqrt{c^2 + 9}

60.

The volume of a 3-dimensional rectangular box is represented as: x^3 + x^2 - 4x - 4. If the length of the box is (x + 1) and the width is (x - 2), what is the height of the box in terms of x?

a)

x + 2

b)

x2−4x^2 - 4

c)

2x + 4

d)

x2−1x^2 - 1

61.

A high school theater has 20 seats in the first row and each successive row has 2 additional seats. If there are 12 rows in the theater, what is the total number of seats?

a)

384

b)

372

c)

330

d)

264

62.

Zoey drove to work at an average speed of 45 miles per hour. If it took 40 minutes to get to work, how far did she travel to get to work?

a)

5 miles

b)

15 miles

c)

18 miles

d)

30 miles

63.

Ayaan earns $1,600 gross pay each week but then one fourth of his pay is deducted for insurance and taxes. His wife Julia earns $2,000 gross pay each week but then she has 50% of her gross pay deducted for taxes, insurance, and an extra retirement option. How much more does Ayaan take home than Julia each pay week?

a)

$700

b)

$400

c)

$200

d)

$100

64.

Harley lives 5 miles from the airport in Eritrea. He converted kilometers to miles to help his American family better understand the distance. Approximately how many kilometers does Harley live from the airport? (1 mile = 1.6 kilometers)

a)

3.1

b)

8.0

c)

56.0

d)

80.0

65.

How many seconds are there in m minutes and s seconds?

a)

(m+5)/60

b)

60(m + 5)

c)

60m + 5

d)

60(5) + m

66.

What is the value f(3) in the function f(x)=5xf(x) = 5^x ?

a)

A. 15

b)

B. 25

c)

C. 53

d)

D. 125

67.

The table above shows the distribution of scores of 35 students for a math test. What value could reasonably be expected to be the median score?

a)

70

b)

73

c)

78

d)

83

68.

If an angle of 360 degrees measures 6,400 mils, how many degrees are in an angle of 1,600 mils?

a)

180

b)

160

c)

90

d)

40

69.

If √(x + 3) + 7 = 9, then x =

a)

-1

b)

1

c)

7

d)

13

70.

The table above shows the number of children of each age from 8 - 12 that went on a field trip. What is the median age of these children?

a)

9

b)

10

c)

11

d)

12

71.

Approximately how many plushies need to be sold to increase the August sales by one-third?

a)

1,500

b)

4,500

c)

6,000

d)

7,500

72.

The square root of 20 is between

a)

3 and 4

b)

4 and 5

c)

6 and 7

d)

9 and 10

73.

Barry opens a savings account by depositing 45 today. Then he adds 3 to this savings account every day starting tomorrow. 62 days from now, what will be the total balance of the savings account?

a)

$48

b)

$107

c)

$186

d)

$231

74.

Zach can solve 40 crossword puzzles between 6AM and 11AM. On average, how many crossword puzzles can he solve per hour?

a)

A. 8

b)

B. 10

c)

C. 12

d)

D. 14

75.

The side length of a square is (3x - y). What is the area of the same square?

a)

3x² - 2xy + y²

b)

3x² - 6xy + y²

c)

9x² + 6xy - y²

d)

9x² - 6xy + y²

76.

If (1/5)x = 1/4, then x =

a)

4/5

b)

5/4

c)

5

d)

20

77.

Mariq has a shift at work that starts at 8:15 AM. Considering that his commute from home to work is 40 minutes, and assuming there are no delays or traffic, what is the latest possible time Mariq can leave to get to work on time?

a)

7:15 AM

b)

7:20 AM

c)

7:35 AM

d)

7:40 AM

78.

If 5 is subtracted from the square of a number n, which expression represents this situation?

a)

n² - 5

b)

√n - 5

c)

(n - 5)²

d)

5 - n²

79.

The average of four numbers is 15. If the sum of three of the numbers is 50, what is the fourth number?

a)

A. 10

b)

B. 15

c)

C. 20

d)

D. 25

80.

3x² + x - 8 - 2x² - x + 20

a)

x² + 12

b)

x² - 2x + 28

c)

x² + 2x - 12

d)

5x² + 2x + 28

81.

Using the equation: F = (9/5)C + 32, where F is Fahrenheit and C is Celsius, if the temperature is 35° Celsius, what is the temperature in Fahrenheit?

a)

2° F

b)

47° F

c)

63° F

d)

95° F

82.

Taj and Luna each have a bag of marbles. The number of marbles of each color is shown in the table below, each represented by a different variable. If one marble is randomly selected from Luna’s bag, what is the probability that the selected marble will NOT be green?

a)

(d+f)/(d+e+f)

b)

(a+c)/(a+b+c)

c)

(e+f)/(d+e+f)

d)

(d+f)/(a+b+c+d+e+f)

83.

Which of the following is equivalent? x+5x2+11x+30\frac{x+5}{x^2+11x+30} =

a)

x + 5

b)

x + 6

c)

1/(x+5)

d)

1/(x+6)

84.

Pamela wants to buy a costume at the gaming store she works at. The costume is on sale for 20% off. Pamela also gets a 5% discount for being an employee. Her employee discount is taken off the sale price of any item. If the original cost of the costume was c dollars, which of the following expressions represents what Pamela would pay, in dollars, for the costume?

a)

0.80c

b)

0.76c

c)

0.75c

d)

0.25c

85.

If the length of one side of a square is 2a - b, what is the area of the square, in terms of a and b?

a)

2a² - 2ab + b²

b)

2a² - 4ab + b²

c)

4a² + 4ab - b²

d)

4a² - 4ab + b²

86.

3x² + x - 8 - 2x² - x + 20 = ?

a)

x² + 12

b)

x² - 2x + 28

c)

x² + 2x - 12

d)

5x² + 2x + 28

87.

On her first three tests, Daniella scored an 86, 89, and 91. What score must she get to have an average of exactly 90 across all four tests?

a)

90

b)

92

c)

93

d)

94

88.

Sam has a square garden where each side is 4 feet long. He plans to expand the garden into a rectangular plot by increasing the length by 2 feet and increasing the width by 1 foot. How much area will be added to the garden (in square feet)?

a)

3

b)

6

c)

12

d)

14

89.

A rectangular bathroom x feet wide. The length of the bathroom is twice as long as the width. If the bathroom has an area of 50 square meters, which of the following equations represents the information given?

a)

A. x(x + 2) = 50

b)

B. x(2x + 2) = 50

c)

C. x(2x) + x(2x) = 50

d)

D. x(2x) = 50

90.

If the perimeter of a rectangle is 36, what could be a possible length and width? P = 2(L + W), where perimeter is P, length is L and width is W.

a)

L = 2, W = 18

b)

L = 6, W = 30

c)

L = 9, W = 4

d)

L = 11, W = 7

91.

What would be the calculation for the perimeter of a regular octagon with a side length of 16? (A regular octagon has 8 equal sides.)

a)

(8 + 16)

b)

(8 - 16)

c)

(8 × 16)

d)

(x × 16)

92.

The average of 4 numbers is 6. If the first number is 5, what is the sum of the other 3 numbers?

a)

24

b)

19

c)

15

d)

1

93.

The snow fall (in feet) for the city of Fargo across 10 days is recorded in the table below. What is the average (mean) number of feet of snow in Fargo per day for the 10 days?

a)

A. 3.10

b)

B. 0.87

c)

C. 0.45

d)

D. 0.10

94.

MPB Car Rentals uses the equation 31.95d + 0.10m, where d = days and m = miles, when determining the cost of renting cars. Davy rented a Porsche for 5 days and drove it for 600 miles? How much does Davy owe MPB Car Rentals?

a)

$159.75

b)

$165.75

c)

$219.75

d)

$759.75

95.

Which of the following is equivalent to (xy2)n(xy^2)^n ?

a)

xy2nxy^{2n}

b)

xny2nx^n y^{2n}

c)

(xy)2n(xy)^{2n}

d)

(xy)2+n(xy)^{2+n}

96.

Which of the following is equivalent to (5/x)3(5/x)^3 ?

a)

5x3\frac{5}{x^3}

b)

25/x

c)

125/x

d)

125x3\frac{125}{x^3}

97.

Which of the following is equivalent to 3x(2x2−x+5)3x(2x^2 - x + 5)

a)

5x3−3x2+15x5x^3 - 3x^2 + 15x

b)

6x3−3x+156x^3 - 3x + 15

c)

6x3−x+56x^3 - x + 5

d)

6x3−3x2+15x6x^3 - 3x^2 + 15x

98.

The price of almonds at 2 grocery stores is shown in the table above. What is the price per pound for almonds at Wally M’s?

a)

$1.32

b)

$1.33

c)

$1.34

d)

$1.35

99.

A food truck has 4 kinds of donuts and 5 kinds of coffee on the menu. How many unique orders consisting of one donut and one coffee can be ordered from this food truck?

a)

Four

b)

Five

c)

Nine

d)

Twenty

100.

The equation 5 * 7 + (-12) - 4 = -45 is false. Which of the following contains the correct brackets to make the statement true?

a)

[5 * 7] + (-12) - 4 = -45

b)

[5 * 7 + (-12)] - 4 = -45

c)

5 * [7 + (-12) - 4] = -45

d)

5 * 7 + [(-12) - 4] = -45