Free Printable G11 EXT MATH VAC QUIZ

Worksheets

G11 EXT MATH VAC QUIZ

Total questions: 100

Worksheet time: 5hrs 27mins

Name

Class

Date

Solve the equation x²- x - 12 = 0

-3, 4

1, 12

3, -4

Simplify (x²+ 3x + 2)/(x²- x - 2)

cannot be simplified

(x(x + 3) + 2)/(x(x - 1) - 2)

(x + 2)/(x - 2)

(x + 3)/(x - 1)

Factor x³y - 4xy

x(x²y - 4y)

x²(xy - 4y)

xy(x² - 4)

xy(x - 2)(x + 2)

Expand and simplify (x + 2)³

x³+ 8

x³+ 6x²+ 12x+ 8

x³+ 6x²+ 8

x³+ 4x²+ 8x+ 8

Simplify (3a³b³)(4ab²)²

48a⁵b⁷

144a⁴b⁵

144a⁶b¹²

48a⁸b¹⁰

Evaluate 16^-3/4

1/16

1/8

16^-3/4

1/⁴√(16³)

Factorize the following:

(x² - 9)(x² + 9)

x⁴ - 81

(x-9)²

x²-18x + 81

2x - 18

What is the equation of this line in slope-intercept form?

y = 2x + 5

y = -2x + 5

y = -2x

y = 5

-6x + y = 2
6x + y = 2
These lines are...

Parallel

Perpendicular

Neither

10.

Identify the slope of a line parallel to the one graphed.

-7/3

3/7

-3/7

7/3

11.

These lines are....
x=6
y=10

Parallel

Perpendicular

Neither

12.

Monica was taking a bus trip to see her aunt. For her to ride 50 miles it cost her $40. For her to ride 250 miles the bus trip would cost her $100. Find the rate of change in dollars per mile. Write an equation in slope-intercept form to model this situation.

y = 3/10x + 40

y = 2.5x + 25

y = 3/10x + 30

y = 3/10x + 25

13.

Write a linear function f with the values
f(1) = 3 and f(4) = -6.

y = -3x + 6

y = -6

y = -3x - 6

y = 3x + 6

14.

Write an equation of a line perpendicular to
y = -1/5x + 5 through (-1, -3)

y = 5x + 2

y = -5x - 5

y = -5x + 2

y = 2x - 5

15.

What is one point that lies in the solution set of the system of inequalities graphed?

(0, 4)

(-4, 1)

(2, 4)

(4, -1)

16.

What are the x- intercepts?

x= 0 and x= -4

x= 0 and x= 4

y= 0

x= 2

17.

The function f(x)=2x+8 models the total cost to order x amount of light bulbs from an online company. What is the appropriate domain of the function?

All non-negative integers

All non-negative rational numbers

All integers

All rational numbers

18.

2b²

2b⁶

6b⁶

8b⁶

19.

(y⁹)^-2

y¹⁸

y¹¹

1/(y¹⁸)

y⁹/2

20.

Simplify
(3x³y⁵)⁴

3x¹²y²⁰

81x¹²y²⁰

12x¹²y²⁰

81x⁷y⁹

21.

2a²b⁶

1/(2a²b⁶)

b⁶/(2a²)

2b⁶/a²

22.

23.

Which graph matches the inequality
-2 ≥ n?

24.

Function

Not a Function

25.

In the Old West, settlers made tents out of a piece of cloth thrown over a clothesline and then secured it to the ground with stakes forming an isosceles triangle. How long would the cloth have to be so that the opening of the tent was 6 feet high and 8 feet wide?

14.4 feet

7.2 feet

10 feet

20 feet

26.

Your family wants to purchase a new laptop with a 17" widescreen. Since the 17 inches represents the diagonal measurement of the screen (upper corner to lower corner), you want to find out the actual dimensions of the laptop. When you measured the laptop at the store, the height was 10 inches, but you don't remember the width. Calculate the width of the laptop to the nearest tenth of an inch.

7 inches

10 inches

19.7 inches

13.7 inches

27.

Find the area of the missing square off of leg A if the area of one square is 369 and the area of another is 81?

21.2

450

288

28.

The three sides of triangle ABC measure 16 meters, 24 meters, and 29 meters. Is triangle ABC an acute, right, or obtuse triangle?

Not a triangle

Acute

Obtuse

Right

29.

The three sides of triangle JKL measure 11.2 meters, 21 meters, and 23.8 meters. Is triangle JKL an acute, right, or obtuse triangle?

Not a triangle

Acute

Obtuse

Right

30.

The area of a square is 81 square centimeters. Find the length of the diagonal.

9 cm

12.7 cm

18 cm

40.5 cm

31.

During a football play, Odell Beckham Jr. runs a straight route 40 yards up the sideline before turning around and catching a pass thrown by Eli Manning. On the opposing team, a defender who started 20 yards across the field from Beckham saw the play setup and ran a slant towards Beckham. What was the distance the defender had to run to get to the spot where Beckham caught the ball?

34.6 yards

44.7 yards

60 yards

40 yards

32.

The world grows at a rate of 1.07% per year. That is about 86 million people per year. If the population is around 7,700,000,000 estimate what year will we break 8,000,000,000?

2020

2023

2025

2019

33.

14 tables in a room and I am in charge of seating people, there are 57 people, what is the best even distribution? Click all that apply

All tables have 4 people

All tables but one have 4 people

Invite 3 more people to fix the problem

Invite 13 more people to fix the problem

34.

Time and number of click is a way to figure out the unit rate of clicks per second. If my unit rate was 8.5 what could be my possible values (check all that apply)

Number or clicks 102, number or seconds 12

Number or clicks 51, number or seconds 6

Number of clicks 19, number of seconds 2

Number of clicks 4762, number of seconds 552

35.

Josh is thinking of two numbers. Their sum is -10 and their difference is -2. Which system of equations represents the situation?

x - y = -10
x + y = -2

x = -2
y = 5

x + y = -2
x - y = -10

x + y = -10
x - y = -2

36.

Jessica was planning a trip to Jamaica. Before going, she did some research and learned that the exchange rate is one Jamaican dollar for 0.5 US dollars. How much Jamaican money would she get if she exchanged $28?

$56

$14

$5.60

$140

37.

A rectangular garden is 45 ft wide and 70 ft long. In a drawing, the width is 9 in. Identify the length on the drawing.

7 in

9 in

12 in

14 in

38.

The ratio of cups of sugar to cups of flour needed to bake cookies is 1:5. If Myesha uses 25 cups of flour, how much sugar is needed?

125 cups

5 cups

15 cups

10 cups

39.

Clarissa put $480 into savings account of one year. The rate of interest on the account was 4.6% How much was the interest for the year in dollars and cents? What is the new total of the bank account after she earns the interest?

$22.08 interest / $502.08 new total

$37.70 interest / $617.70 new total

$45.00 interest / $543.67 new total

$617.70 interest / $37.70 new total

40.

A student earned a grade of 80% on a math test that had 30 problems. How many problems on this test did the student answer incorrectly?

41.

Joan needed $100 to buy a graphing calculator for her math class. Her neighbor will pay her $5 per hour to babysit and her Father gave her $10 for mowing the lawn. Which inequality represents the minimum amount of hours she will need to babysit in order for her to buy her calculator?

5x + 10 ≥ 100

5x - 100 ≥ 10

10x + 5 ≤ 100

5x + 10 > 100

42.

Triniti had $500 in a saving account at the beginning of the summer. She wants to have at least $200 in the account by the end of the summer. She withdraws $25 each week for food, clothes, and movie tickets. Which inequality represents her situation?

200 + 25x ≥ 500

500 + 25x ≥ 200

500 - 25x ≥ 200

500 - 25x ≤ 200

43.

At the end of the day, vegetables at the farmer’s market sells for $3.00 a pound, and a basket costs $5.50. If Carol wants to buy a basket and spend no more than $10.00 total, how many pounds of vegetables can she buy?

3 + 5.5p < 10

10 = 5.5 - 3p

5.5 + 3p < 10

3p + 5.5 ≤ 10

44.

Ross and Chandler go to Taco Land and order sodas for a total of $3.50. They also want to order some tacos (of course), which cost $1.75 each. If they have $20, how many tacos can they buy? Which inequality best represents the situation.

3.50 + 1.75t > 20

1.75 + 3.50t ≤ 20

3.50 + 1.75t ≥ 20

1.75t + 3.50 ≤ 20

45.

The dance committee hired a DJ for the fall dance. The DJ charges $125 per hour in addition to $55 for an assistant. The committee wants to keep the total cost under $600. Which inequality represents the maximum amount of hours the DJ will play at the dance?

125x + 55 ≤ 600

125x + 55 ≥ 600

125x + 55 > 600

125x + 55 < 600

46.

Tube has already baked 4 cakes, and he can bake 1 cake with each additional stick of butter he buys. Write an equation that shows the relationship between the number of additional sticks of butter x and the number of cakes y.

$y=\left|4x\right|$

$y=\frac{x}{4}$

$y=4x$

$y=x+4$

47.

Jay-G already owns 1 necklace, and additional necklaces are priced at 2 for a dollar. Write an equation that shows the relationship between the money spent on additional necklaces x and the total number of necklaces y.

$y=\frac{x}{1}+2$

$y=1x+2$

$y=\frac{2}{x}+1$

$y=2x+1$

48.

Margaret is a waitress at The Seafood Bonanza. She earns $3 an hour plus 90% of her tips. Write an equation for her salary, S, if she works h hours and earns d dollars in tips.

3h + 0.90d = S

S = 90d + 3h

S = 3d + 90h

S = 3h + 9.0d

49.

At Joe's Clown Car Rental Agency, renting a car costs $35 plus $0.75 for every mile it is driven. What is an equation that can be used to find the number of miles, m, a vehicle was driven, if the total rental charge was $222.50?

222.5 = m(35 + 0.75)

222.5 = 35 + 0.75m

222.5 = 0.75 + 35m

222.5 = 0.75(m + 35)

50.

Solve the following system by graphing. What is the solution?

Infinite number of solutions

(3, 3)

(3, -3)

(-3, 3)

51.

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?

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

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

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

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

52.

What does the shaded region of the Venn diagram represent?

P or S

Only P or S

P and S

Only P and S

53.

$\left(A\cap B\right)\cup C\ '$

54.

$\left(A\cap B\right)\cap C\ '$

55.

$A\cup\left(B\cap C\right)$

56.

$A\cap\left(B\cup C\right)'$

57.

$A'\cup\left(B'\cap C\right)$

58.

$\left(A\cap C'\right)\cup B'$

59.

$\left(A'\cup B\right)'\cap C$

60.

$\left(A'\cap B\right)\cup\left(A\cap C\right)$

61.

$\left(A\cap B'\right)\cup\left(B\cap C'\right)$

62.

Identify the shaded area...

63.

Identify the shaded area...

A∩B

A∪B

A'∩B'

A'∪B'

64.

Identify the shaded area...

65.

Identify the shaded area...

A∩B

A∪B

A'∩B'

A'∪B'

66.

Identify the shaded area...

A∩B

A∪B

A'∩B'

A'∪B'

67.

Identify the shaded area...

A'∩B

A∩B'

A∪B'

A'∪B

68.

Identify the shaded area...

A'∩B

A∩B'

A∪B'

A'∪B

69.

What statement does the shaded region represent?

A and B and C

A or B and C

B and C

A or C

70.

What statement does the shaded region represent?

A or B and C

Not C

A or B

B and C or A

71.

(A ∪ B ∪ C )′

(A ∪ B ∪ C )

(A ∪ B )′

(A′ ∪ B ′)

72.

What percentage of the days that it rained, did they forecast no rain?

About 20%

About 18%

About 14%

About 12%

73.

What is the probability that the person picked will be a boy given they speak german?

.7273

.16

.22

74.

What is P(Foreign language | Sport)? (Remember to reduce the fraction!)

14/27

7/12

23/47

37/47

75.

What proportion of senior boys play football and wrestle?

9/143

21/143

30/143

39/143

76.

You roll two die.

What is the probability you will roll a 4, then roll a number less than 3?

1/36

1/18

1/9

1/6

77.

What is the probability of spinning an even number?

30%

33%

50%

67%

78.

A bag has 3 red marbles, 2 blue and 4 yellow. What is the theoretical probability of pulling a red?

3/10

3/9

1/9

1/3

79.

A bag contains 30 pieces of candy. There are 15 grape, 7 cherry, 3 lemon, 5 strawberry. What is the probability of drawing a lemon?

1/10

3/10

30%

80.

Find the probability of drawing a 10 from a standard deck of 52 cards.

1 out of 52

13 out of 52

26 out of 52

4 out of 52

81.

If the probability of an event is 0.99, which of the following best describes the event?

The event will never occur

There is a small chance that the event will occur

The event is likely to occur

The event will definitely occur

82.

.2855

.6246

.0922

.3230

83.

What is the probability that a student does not play on a sports team?

.45

.55

84.

What is the probability that they speak French given they are a girl?

2.14

.24

.8571

85.

What is the probability that a student plays an instrument

.55

.45

86.

What is the probability that a female is chose given they like a Toyota?

.525

.4627

.6774

.3143

87.

The probability that a woman likes the color blue is 10%. The probability of liking blue is 40%. What is the probability that a woman is chosen given they liked the color blue?

.25

88.

A slide is also called a _________.

Translation

Reflection

Rotation

Transformation

89.

A turn is also called a ___________.

Translation

Reflection

Rotation

Transformation

90.

Identify the transformation from C to D.

90^o Clockwise Rotation

180^o Rotation

270^o Clockwise Rotation

360^o Rotation

91.

Write a rule for the translation.

(x -1, y + 2)

(x -2, y + 1)

(x +2, y - 1)

(x +1, y - 2)

92.

A farmer can plant up to 6 acres of land with soybeans and corn. Her use of a necessary pesticide is limited by green tribunal regulations to 15 litres for her entire 6 acres. Soybeans require 2 litres of pesticide for every acre planted and corn requires 3 litres per acre. The profit the farmer makes by earning Rs40,000 for every acre of soybeans he plants and Rs30,000 for every acre he plants with corn can be modeled by P=40000x+30000y . If x represents acres of soybeans and y represents acres of corns, which inequalities represent the possible solutions to her situation?

x≥0

y≥0

x+y≥6

3x+2y≥15

x≥0

y≥0

x+y≤6

2x+3y≤15

x≥0

y≥0

4000x+y≤6

2x+600y≤15