Quiz about Practice Test

Question 1

If x = 3, then what is the value of $$(x^2−3)−2(x^3−5x)$$ ?

Accepted Answer

-18

Answer

0

Answer

-16

Answer

24

Answer

54

Question 2

A student's GPA is determined by assigning each letter grade a certain number and taking the average of those numbers. If a certain high school determines that A's are worth 4.0, B's are worth 3.0, C's are worth 2.0, D's are worth 1.0, and F's are worth 0 and that a student gets 6 A's, 2 B's, and 2 C's over the entire school year, what is the student's GPA for that year?

Accepted Answer

3.4

Answer

3.0

Answer

3.7

Answer

4.0

Answer

4.2

Question 3

A single shipping truck can transport either a maximum of 500 boxes with a volume of 30 cubic inches each or a maximum of 2 tons of weight. If a customer needs to ship 300 boxes, each with a volume of 30 cubic inches and weighing 6 pounds, how many shipping trucks will they need to use? (Note that 1 ton is equivalent to 2000 pounds)

Accepted Answer

A) 1

Answer

B) 2

Answer

C) 5

Answer

D) 10

Answer

E) 150

Question 4

If x and y are both real numbers, which of the following is equivalent to (2x + 3y)(2x - 3y)?

Accepted Answer

E) 4x² - 9y²

Answer

A) 4x² + 6xy + 9y²

Answer

B) 4x² + 12xy + 9y²

Answer

C) 4x² + 12xy - 9y²

Answer

D) 4x² + 9y²

Question 5

What is the x-intercept of a line that passes through (3,7) and (0,13)?

Accepted Answer

B) 6.5

Answer

A) 6

Answer

C) 7

Answer

D) 7.5

Answer

E) 8

Question 6

Julie is baking 4 loaves of banana bread for her math club bake sale, using a recipe that requires 2 $$\frac{1}{3}$$ cups of flour per loaf and 3 $$\frac{1}{4}$$ cups of sugar per 2 loaves. What is the total amount of sugar and flour, in cups, that Julie will need to bake these 4 loaves?

Accepted Answer

15 $$\frac{5}{6}$$

Answer

6 $$\frac{1}{2}$$

Answer

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

Answer

15 $$\frac{1}{3}$$

Answer

20 $$\frac{2}{3}$$

Question 7

The square of a certain positive integer lies between 133 and 150. What is this positive integer?

Accepted Answer

12

Answer

9

Answer

10

Answer

11

Answer

13

Question 8

30% of 60 is 45% of what number?

Accepted Answer

40

Answer

35

Answer

45

Answer

65

Answer

70

Question 9

Annie is currently one third of her mother's age. 10 years ago, her mother was 5 times as old as Annie.

How old is Annie?

Accepted Answer

20

Answer

10

Answer

30

Answer

40

Answer

50

Question 10

Which of the following inequalities is equivalent to 4 - 2x > -6 ?

Accepted Answer

x < 5

Answer

x > -10

Answer

x < -5

Answer

x < 10

Answer

x > 10

Question 11

Which of the following is equivalent to $$\left(8^{\frac{2}{3}}\right)^2$$

Accepted Answer

16

Answer

2

Answer

4

Answer

8

Answer

32

Question 12

There are two non-intersecting lines, which of the following three statements must be true about these lines?I. The two lines are parallel.
II. The two lines have the same slope.
III. The two lines exist in the same plane.

Accepted Answer

None of the statements must be true

Answer

I. Only

Answer

II. Only

Answer

I. and II. Only

Answer

I., II., and III.

Question 13

A local movie theater has tickets with dimensions as shown. If the shape of the ticket is a rectangle with quarter-circles removed from the corners, what is the total area in square millimeters of one ticket?

Accepted Answer

$$200-9\pi$$

Answer

56

Answer

$$200-\frac{9}{4}\pi$$

Answer

191

Answer

200

Question 14

The function f is defined as f(x) = (3x)³ - 4x² + 26. Which of the following is equivalent to f(2)?

Accepted Answer

226

Answer

178

Answer

200

Answer

216

Answer

264

Question 15

The result of multiplying 5 consecutive integers is 120.

What is the largest of these integers?

Accepted Answer

5

Answer

3

Answer

4

Answer

9

Answer

10

Question 16

How many real solutions are there to the following system of equations?

$$y=x^2-10x+30$$

$$y=2x-6$$

Accepted Answer

1

Answer

0

Answer

2

Answer

3

Answer

Infinitely Many

Question 17

The greatest common factor of 111 and 148 is 13 less than x. What is the value of x?

Accepted Answer

50

Answer

3

Answer

37

Answer

74

Answer

111

Question 18

Two airplanes are flying simultaneously.

Relative to Airplane 1, Airplane 2 is currently 4 miles East, 5 miles North, and 0.5 miles higher.

What is the approximate distance, in miles, between the two planes at this point in time?

Accepted Answer

6.4

Answer

6

Answer

6.1

Answer

6.2

Answer

6.3

Question 19

Given that ABCD is a square with a side length of 4 inches and E, F, G, H, I, J, K, and L are midpoints of their respective line segments, what is the ratio of shaded area to unshaded area?

Accepted Answer

1:3

Answer

5:16

Answer

1:4

Answer

1:8

Answer

7:16

Question 20

I can water 1 acre of land with 1000 gallons of water. To the nearest quart, how much water do I need to water 100 square feet of land? (Note: There are 43,560 square feet in an acre)

Accepted Answer

9

Answer

2

Answer

3

Answer

4

Answer

8

Question 21

Which of the following would model a population that grows at a constant rate of 3.5% annually, using t as our variable for time and P for our current population?

Accepted Answer

$$P\left(t\right)=p\left(1.035\right)^t$$

Answer

$$P\left(t\right)=p\left(1.35\right)t$$

Answer

$$P\left(t\right)=p\left(1.35\right)^t$$

Answer

$$P\left(t\right)=p\left(1.035\right)t$$

Answer

$$P\left(t\right)=t\left(1.035\right)^p$$

Question 22

Given that the point (2,3) is an endpoint on a line segment and the point (5,9) is the midpoint of that line segment, what is the other endpoint of the line segment?

Accepted Answer

(8,15)

Answer

(7,12)

Answer

(9,12)

Answer

(9,15)

Answer

(10,18)

Question 23

What is the perimeter of a regular hexagon with an area of $$54\ \sqrt[]{3}$$ ?

Accepted Answer

36

Answer

6

Answer

12

Answer

$$48\ \sqrt[\ ]{3}$$

Answer

$$50\ \sqrt[]{3}$$

Question 24

What are the values of x that satisfy the equation $$x=1+\frac{1}{x}$$ ?

Accepted Answer

$$\frac{1+\sqrt[]{5}}{2},\frac{1-\sqrt[]{5}}{2}$$

Answer

$$0$$

Answer

$$1$$

Answer

$$\frac{1+\sqrt[]{5}}{2}$$

Answer

$$\frac{1-\sqrt[]{5}}{2}$$

Question 25

Lines I and m are parallel in the following diagram.

Which of the following is the value of x?

Accepted Answer

110

Answer

80

Answer

100

Answer

130

Answer

160

Question 26

Jessica, Sarah, and Eliza are Girl Scouts selling cookies to raise money for their troop. The table shows how many boxes each girl sold of each variety of cookie. If Thin Mints cost $3 a box, Samoas cost $4 a box, Tagalongs cost $2.50 a box, and Do-si-dos cost $2.75 a box,

how much money worth of cookies did Eliza sell?

Accepted Answer

$74

Answer

$18

Answer

$40

Answer

$45

Answer

$63

Question 27

Jessica, Sarah, and Eliza are Girl Scouts selling cookies to raise money for their troop. The table shows how many boxes each girl sold of each variety of cookie. What is the probability that if you randomly choose a customer of Jessica, Sarah, or Eliza, they bought either Samoas or Do-si-dos?

Accepted Answer

4/9

Answer

13/72

Answer

19/72

Answer

1/2

Answer

5/9

Question 28

Jessica and Eliza decide to combine their total cookies sold in order to beat Sarah. Over the next two weeks, if Jessica and Eliza sell another 10 boxes of cookies each, how many more boxes will Sarah need to sell in order to have sold more cookies than Jessica and Eliza?

Accepted Answer

33

Answer

22

Answer

32

Answer

62

Answer

63

Question 29

If the measure of inscribed angle EBD is 42 degrees, what is the measure of central angle EOD in degrees?

Accepted Answer

84

Answer

21

Answer

42

Answer

105

Answer

126

Question 30

A cube has edge lengths of 4 inches. What is the surface area of this cube in square inches?

Accepted Answer

96

Answer

16

Answer

32

Answer

64

Answer

128

Question 31

For which of the following values of x is $$\frac{\left(x^4-5x^3\right)}{\left(3x-x^2\right)}$$ undefined?

Accepted Answer

3

Answer

1

Answer

2

Answer

4

Answer

5

Question 32

What is the mean of the following 8 scores? 23, 54, 62, 71, 36, 95, 40, 76

Accepted Answer

57.125

Answer

57

Answer

57.5

Answer

58

Answer

457

Question 33

Which of the following could be a value of x in the equation $$\log_4\left(x\right)=\log_3\left(27\right)$$ ?

Accepted Answer

64

Answer

16

Answer

32

Answer

128

Answer

256

Question 34

There are a total of 72 students enrolled in either biology or physics at a certain school. If 40 students take biology and 40 students take physics, how many students are enrolled in both biology and physics?

Accepted Answer

8

Answer

2

Answer

4

Answer

6

Answer

10

Question 35

The area of a circle is $$28\pi$$ more than $$1\frac{1}{2}$$ times its circumference. What is the radius of this circle?

Accepted Answer

7

Answer

4

Answer

8

Answer

14

Answer

28

Question 36

What is the value of x in the following figure?

Accepted Answer

10

Answer

6

Answer

7

Answer

8

Answer

9

Question 37

At what angle does the line y = x intersect the x-axis?

Accepted Answer

45 degrees

Answer

30 degrees

Answer

60 degrees

Answer

90 degrees

Answer

120 degrees

Question 38

There are two internet service providers that a certain school district is deciding between.

The first internet service provider (ISP 1) charges a one-time $100 base setup fee and then charges $40 per month for continued service.

The second internet service provider (ISP 2) charges half as much for their base setup fee and 25% more per month.

If the school district is going to sign a 12-month contract with their chosen internet service provider, which plan will be cheaper and by how much?

Accepted Answer

ISP 1, $70

Answer

ISP 1, $60

Answer

ISP 2, $50

Answer

ISP 2, $60

Answer

They cost the same amount

Question 39

What is the x-intercept of $$f\left(x\right)=64\left(4\right)^{\left(1-x\right)}-8$$ ?

Accepted Answer

5/2

Answer

-5/2

Answer

-3/2

Answer

1/2

Answer

3/2

Question 40

Simplify $$\frac{5}{\left(12+5i\right)}$$

Accepted Answer

$$\frac{60-25i}{169}$$

Answer

$$\frac{60+25i}{119}$$

Answer

$$\frac{60-25i}{119}$$

Answer

$$\frac{60+25i}{169}$$

Answer

$$\frac{60-25i}{13}$$

Question 41

If vector $$v=<1,2,5>$$ , vector $$u=<5,x,8>$$ , and $$3v-u=<-2,2,7>$$

what is the value of x?

Accepted Answer

4

Answer

2

Answer

6

Answer

8

Answer

10

Question 42

Given that chord AC has a length of 18 and that OC = 15, what is the radius of the smaller circle?

Accepted Answer

12

Answer

4

Answer

8

Answer

16

Answer

18

Question 43

If OB has a length of 6 and BC has a length of 8, what is the ratio of the circumference of the smaller circle to the circumference of the larger circle?

Accepted Answer

3:5

Answer

1:5

Answer

2:5

Answer

1:2

Answer

3:4

Question 44

If there is a group of 8 people or more at a certain restaurant, then the restaurant will automatically include a 15% tip for the waiter before any discounts are used. If the price of the food alone for a group of 10 people is $135 after applying a coupon for 40% off, then how large is the tip the waiter is guaranteed?

Accepted Answer

$33.75

Answer

$15.50

Answer

$20.25

Answer

$42.00

Answer

$42.50

Question 45

What is the value of $$\log\left(125\right)+\log\left(8\right)$$ ?

Accepted Answer

3

Answer

2

Answer

4

Answer

5

Answer

8

Question 46

A baseball is thrown upwards from the roof of a building and its height can be modeled as an equation of height (h feet) in terms of time (t seconds) as follows, $$h\left(t\right)=-4t^2+24t+27$$ . The vertex form of this equation reveals that the baseball reaches which of the following heights at its maximum height?

Accepted Answer

63

Answer

15

Answer

24

Answer

27

Answer

53

Question 47

How many ways are there to choose three textbooks from a locker that contains twelve textbooks in total?

Accepted Answer

220

Answer

4

Answer

6

Answer

9

Answer

1320

Question 48

What is the length of side AF?

given that AB = BC = CD = DE = EF = 1 and all right angles are indicated?

Accepted Answer

$$\sqrt[]{3}$$

Answer

1

Answer

$$\sqrt[]{2}$$

Answer

2

Question 49

Jonathan is rolling a weighted six-sided die with the following weights: $$P\left(1\right)=\frac{1}{6},\ P\left(2\right)=\frac{1}{12},\ P\left(3\right)=\frac{1}{2},\ P\left(4\right)=\frac{1}{12},\ P\left(5\right)=\frac{1}{12},\ P\left(6\right)=\frac{1}{12}.$$ What is the difference between the expected value of Jonathan's weighted die and an unweighted die?

Accepted Answer

5/12

Answer

1/12

Answer

1/4

Answer

1/2

Question 50

What is the units digit of $$2^{57}$$ ?

Accepted Answer

2

Answer

0

Answer

4

Answer

6

Answer

8

Question 51

What is $$ an\left(\cos^{-1}\left(\frac{12}{13} ight) ight)?$$

Accepted Answer

5/12

Answer

5/13

Answer

12/13

Answer

12/5

Answer

13/5

Question 52

Which of the following is equivalent to $$\left|4+3i\right|,$$ where $$i=\sqrt[]{\left(-1\right)}?$$

Accepted Answer

5

Answer

3

Answer

4

Answer

6

Answer

7

Question 53

If the distance between the center of circle A and circle B is 10, circle A has a radius of 8, and circle B has a radius of 2, what is the area of quadrilateral ABCD?

Accepted Answer

40

Answer

16

Answer

18

Answer

24

Answer

28

Question 54

What is the value of x in the following equation?

Accepted Answer

$$\frac{\sqrt[]{5}+3}{2}$$

Answer

4

Answer

$$\frac{\sqrt[]{5}}{2}$$

Answer

$$\frac{\sqrt[]{5}+1}{2}$$

Answer

6

Practice Test

60 questions

If x and y are both real numbers, which of the following is equivalent to (2x + 3y)(2x - 3y)?

What is the x-intercept of a line that passes through (3,7) and (0,13)?

|5 − 15|³ + |15 − 5|² = ?

The square of a certain positive integer lies between 133 and 150. What is this positive integer?

30% of 60 is 45% of what number?

Annie is currently one third of her mother's age. 10 years ago, her mother was 5 times as old as Annie.
How old is Annie?

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Practice Test

60 questions

If x and y are both real numbers, which of the following is equivalent to (2x + 3y)(2x - 3y)?

What is the x-intercept of a line that passes through (3,7) and (0,13)?

|5 − 15|3 + |15 − 5|2 = ?

The square of a certain positive integer lies between 133 and 150. What is this positive integer?

30% of 60 is 45% of what number?

Annie is currently one third of her mother's age. 10 years ago, her mother was 5 times as old as Annie. How old is Annie?

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

|5 − 15|³ + |15 − 5|² = ?

Annie is currently one third of her mother's age. 10 years ago, her mother was 5 times as old as Annie.
How old is Annie?