Free Printable LARGE PSSA Sampler

1.

Which value is closest to $5\sqrt[3]{26}$ ?

a)

5

b)

15

c)

25

d)

45

2.

Which statement about non-zero real numbers is true?

a)

The sum of two rational numbers is not always rational.

b)

The product of two irrational numbers is always rational.

c)

The product of a rational number and an irrational number is always irrational.

d)

The sum of a rational number and an irrational number is sometimes irrational.

3.

A city has approximately 1,000,000 residents. The city has approximately 1 library for every 5,000 residents. Which expression represents the approximate number of libraries in the city?

a)

$\frac{5\times10^3}{1\times10^6}$

b)

$\frac{5\times10^4}{1\times10^6}$

c)

$\frac{1\times10^6}{5\times10^4}$

d)

$\frac{1\times10^6}{5\times10^3}$

4.

A cubic meter of water has a mass of $\left(1\times10^3\right)$ kilograms. A large swimming pool at a community center holds a mass of approximately $\left(3\times10^6\right)$ kilograms of water when it is completely full. What is the approximate volume, in cubic meters, of water the large swimming pool holds when it is completely full?

a)

$2\times10^2$

b)

$3\times10^2$

c)

$2\times10^3$

d)

$3\times10^3$

5.

Eva and Rafael are each tutors. The graph below shows the amount (y), in dollars, Eva charges based on the number of hours she tutors.

The equation $y=35x$ represents the amount (y), in dollars, Rafael charges when he tutors for x hours. His equation will be graphed on the same coordinate grid as Eva's graph. Based on this information, which statement is true?

a)

Eva charges $5 more per hour than Rafael, and she has a higher initial fee, so their graphs will never intersect.

b)

Eva and Rafael each charge the same amount per hour, but Rafael also charges an initial fee, so their graphs are parallel.

c)

Eva charges $5 more per hour than Rafael, and neither charges an initial fee, so the only place their graphs will intersect is at (0,0).

d)

Eva and Rafael each charge the same amount per hour and do not charge an initial fee, so the only place their graphs will intersect at (0,0).

6.

Similar triangles JKL and TSR are graphed on the coordinate grid shown below.

The slope of $\overline{JL}$ is $\frac{m}{2}$ . The slope of $\overline{RT}$ is q. Which equation describes the relationship between m and q?

a)

$m=-2q$

b)

$m=\frac{q}{2}$

c)

$m=q$

d)

$m=2q$

7.

A system of two linear equations has no solution. Which statement about the two lines representing the system of equations is true?

a)

The two lines must have the same slope and the same y-intercept.

b)

The two lines must have different slopes but the same y-intercept.

c)

The two lines must have the same slope but different y-intercepts.

d)

The two lines must have different slopes and different y-intercepts.

8.

A system of linear equations is shown below.

$x+2=7$

$2x+3y=8$

Which statement describes one method to find the solution of the system of linear equations?

a)

Determine the point at which $2x+3y=8$ crosses the vertical line $x=5$ .

b)

Determine the point at which $2x+3y=8$ crosses the vertical line $x=6$ .

c)

Determine the point at which $2x+3y=8$ crosses the vertical line $x=7$ .

d)

Determine the point at which $2x+3y=8$ crosses the vertical line $x=9$ .

9.

Ms. Martin and Mrs. Tyler each have a car. They each park at a coin-operating parking meter.

Ms. Martin and Mrs. Tyler each insert the same number of coins into the meter. They are able to park their cars for the same amount of time before their meters expire. For what amount of time are Ms. Martin and Mrs. Tyler to park their cars?

a)

75 minutes

b)

85 minutes

c)

90 minutes

d)

110 minutes

10.

Beth and Phil each have gift cards for a local coffee shop. Beth has $50 on her gift card, and Phil has $30 on his gift card. Every time they go to the coffee shop, each buys his or her favorite drink. The table and graph shown below model the amount remaining on each person's gift card based on the number of drinks purchased.

What are the prices of Beth's favorite drink and Phil's favorite drink?

a)

Beth's favorite drink: $2.75

Phil's favorite drink: $3.75

b)

Beth's favorite drink: $2.75

Phil's favorite drink: $3.25

c)

Beth's favorite drink: $2.81

Phil's favorite drink: $3.25

d)

Beth's favorite drink: $2.81

Phil's favorite drink: $3.75

11.

The graph below shows the total snowfall (y), in inches, during a day in February, based on the time, in hours, since the snowfall began.

Based on the graph, which statement about the snowfall is true?

a)

The snowfall increased the fastest from hour 3 to hour 4.

b)

The snowfall increased the fastest from hour 4 to hour 6.

c)

From hour 2 to hour 3, the snowfall increased by 1.5 inches.

d)

From hour 0 to hour 6, the snowfall increased at a constant rate.

12.

Congruent quadrilaterals PRST and P'R'S'T' are graphed on the coordinate grid shown.

Which transformation or sequence of transformations could be used to show the congruence between the quadrilaterals?

a)

a 180^o clockwise rotation about point S

b)

a reflection across the line $y=x$ , followed by a reflection across the x-axis

c)

a translation 8 units right, followed by a 90^o counterclockwise rotation about the origin

d)

a 90^o counterclockwise rotation about point R, followed by a reflection across the y-axis

13.

A random sample of students who ride the bus or walk from home to school are surveyed. Two scatter plots are created from the data. The conclusions in the picture are based on those scatter plots.

Which set of statements about one of the scatter plots is most likely true?

a)

The x-axis represents the number of times a week a student walks to school, and the y-axis represents the distance from home. The line of best fit has a positive slope.

b)

The x-axis represents the number of times a week a student rides the bus to school, and the y-axis represents the distance from home. The line of best fit has a negative slope.

c)

The x-axis represents the distance from home, and the y-axis represents the number of times a week a student walks to school. The line o best fit has a negative slope.

d)

The x-axis represents the distance from home, and the y-axis represents the number of times a week a student rides the bus to school. The lines of best fit has a negative slope.

14.

A researcher analyzes a bivariate data set and determines that the data set is closely, but not exactly, modeled by a function. The researcher's description of the function is given below.

Each y-value in the data set is about 3 more than 4 times the corresponding x-value in the data set.

Based on the description, which table most likely contains values in the data set?

a)

b)

c)

d)

15.

Sandra interviewed 250 adults for a survey. She asked each adult the two questions listed below.

What is your age?

Do you rent or own your home?

Her survey results are shown in the frequency table.

Based on the information in the frequency table, which statement is true?

a)

There is no linear association between adults who rent a home and their age.

b)

As age increases, adults typically move from renting to owning a home.

c)

Adults aged 36 to 55 are 7.2% less likely to rent a home than any other age group.

d)

Adults aged 18 to 35 are more likely to rent a home than those aged 36 to 55.

16.

The volume of Jupiter is approximately 10¹⁴ cubic kilometers. The volume of Earth is approximately 10¹¹ cubic kilometers. How many planets the size of Earth does it take to equal the volume of Jupiter?

a)

10^-3

b)

10³

c)

10²⁵

d)

10¹⁵⁴

17.

The Blue Ridge Mountains are rising at a rate of $1\times10^{-4}$ feet per year. To determine how many feet the mountains will rise over the next $1\times10^6$ years, a scientist performs the operation shown below

$\left(1\times10^{-4}\right)\left(1\times10^6\right)$

How many feet will the Blue Ridge Mountains rise over the next $1\times10^6$ years?

a)

0.001

b)

0.01

c)

10

d)

100

18.

Trevor is riding his bicycle for a workout . The graph shows the relationship between the amount of time, in minutes, he rides and the distance, in kilometers, he rides during his 25-minute workout.

Based on the graph, which statement about the rate at which Trevor rides during his workout is true?

a)

Trevor's rate changes from 7.5 kilometers per minute to 2.5 kilometers per minute.

b)

Trevor maintains a steady rate of 2 kilometers per 5 minutes during the workout.

c)

Trevor maintains a stead rate of 2.4 kilometers per 10 minutes during the workout.

d)

Trevor's rate changes from 1 kilometer every 7.5 minutes to 1 kilometer every 2.5 minutes.

19.

Davis is comparing the gas mileage for his old car with the gas mileage for his new car . His old car used 19 gallons of gas to travel 323 miles . The graph shown below represents the gas mileage for his new car.

What is the difference in the gas mileages for the two cars?

a)

8 miles per gallon

b)

11.2 miles per gallon

c)

17 miles per gallon

d)

20.5 miles per gallon

20.

Line j and line k are graphed on the same coordinate grid.

* Line j has a slope of $-\frac{2}{3}$ and intersects the y-axis at $-4$ .
* Line k has a different negative slope than line j and intersects the y-axis above line j.

Which equation could describe line k?

a)

$y=-\frac{1}{6}x$

b)

$y=-\frac{2}{3}x-3$

c)

$y=-\frac{1}{2}x-5$

d)

$y=x+1$

21.

Louisa is solving an equation on the bottom of a page. The corner of the page where the equation is written is torn off as shown.

Louisa knows only one number was torn off, and she knows that the equation has an infinite number of solutions. What must be the missing number?

a)

2

b)

14

c)

21

d)

35

22.

A system of two linear equations is graphed on the coordinate grid shown.

What ordered pair is the solution of the system of equations?

a)

(0, -4)

b)

(0, 3)

c)

(3, -3)

d)

(3, -1)

23.

Which relation is a linear function with the greatest slope?

a)

b)

c)

d)

24.

A parking lot charges a monthly fee plus a charge per day for a car parked in the lot. The graph shows the relationship between the total cost (y), in dollars, and the number of days (x) the car is parked in the lot.

Which equation could represent the relationship between the total cost (y), in dollars, and the number of days (x) the car is parked in the lot?

a)

$y=mx$

b)

$y=mx+b$

c)

$y=x^2$

d)

$y=x^2+b$

25.

Which situation can be modeled by the equation $y=mx+b$ ?

a)

The number of butterflies (y) in a population doubles every month (x).

b)

The time (y) it takes a car to travel 100 miles depends on the speed (x) of the car.

c)

The volume (y) of a cylindrical tank with a height of 2 feet depends on the radius (x) of the tank.

d)

The total income (y) of a worker who earns 8 dollars per hour depends on the number of hours (x) worked.

26.

Ben currently has $70 in his trip fund . He makes $45 per week doing yard work for his neighbors . He keeps $18 of the $45 for weekly expenses . The remaining amount goes into his trip fund . Which function can be used to determine the amount of money (y), in dollars, that Ben has in his trip fund at the end of x weeks?

a)

$y=70+27x$

b)

$y=52+45x$

c)

$y=45+52x$

d)

$y=27+70x$

27.

Zach is studying the school furnace’s oil usage . He records the amount of oil remaining in the tank at 8 a.m. every day for a week . No additional oil is added to the tank during the week . The graph below shows his data.

As the outdoor temperature gets colder, more oil is used to keep the indoor temperature constant . Based on the graph, which 24-hour time interval indicates the coldest period for the week?

a)

Sunday to Monday

b)

Tuesday to Wednesday

c)

Friday to Saturday

d)

Saturday to Sunday

28.

A triangular sign was moved. The new location of the sign is represented by the shaded triangle.

Which transformations could have been used to move the sign to the new location?

a)

reflection across $\overline{BC}$ and reflection across $\overline{AC}$

b)

reflection across $\overline{BC}$ and translation 4 units right

c)

translation 4 units right and translation 4 units down

d)

rotation 180^o clockwise about C and translation 4 units right

29.

The diagonal of Andre’s rectangular TV screen is 39 inches . The width of his TV screen is 34 inches . Which measurement is closest to the height of Andre’s TV screen?

a)

8.5 inches

b)

19.1 inches

c)

36.5 inches

d)

51.7 inches

30.

In the grid shown, rectangle ABCD represents the location of a pool at a city park.

Anna swims in a straight line from corner A to corner C or the swimming pool. What is the distance, in meters, Anna swims?

a)

$\sqrt[]{22}$

b)

$7$

c)

$\sqrt[]{65}$

d)

$11$

31.

A cone-shaped dispenser is filled with cake frosting . The cone has a radius of 1 .5 inches and a height of 5 inches . Which measurement is closest to the volume of cake frosting that the cone-shaped dispenser holds?

a)

3.75 cubic inches

b)

11.78 cubic inches

c)

47.12 cubic inches

d)

141.37 cubic inches

32.

What is $\sqrt[3]{8}$ ?

a)

2

b)

3

c)

4

d)

5

33.

A national park covers approximately $3\ \times10^5$ acres of land. A state park covers approximately $5\times10^3$ acres of land. The land area of the national park is approximately how many times as many acres as the land area of the state park?

a)

6

b)

17

c)

60

d)

167

34.

Brian claims that the product of a rational number and an irrational number is always irrational. Which counterexample proves that Brian's claim is not true?

a)

multiplying 0 by $\frac{2}{3}$

b)

multiplying 0 by $\sqrt[]{2}$

c)

multiplying $\frac{1}{2}$ by $\sqrt[]{2}$

d)

multiplying $\sqrt[]{2}$ by $\sqrt[]{2}$

35.

One number in the list below is a rational number.

$\frac{\sqrt[]{2}}{2}\ \ \ \ \frac{\sqrt[]{6}}{2}\ \ \ \ \ \frac{\sqrt[]{27}}{15}\ \ \ \ \ \frac{\sqrt[]{36}}{15}$

Which number line shows point N located at the value of the rational number?

a)

b)

c)

d)

36.

Solve for x.

$7^2=x^2-3^2$

a)

$\sqrt[]{10}$

b)

$\sqrt[]{20}$

c)

$\sqrt[]{42}$

d)

$\sqrt[]{58}$

37.

Kevin write the population of his city in the form of $a\times10^5$ . He also write the average income of the people in his city in the form $b\times10^4$ . To find the total income for all the people in his city, he multiplies his two values. Kevin says his product will be of the form $c\times10^9$ when written in scientific notation. Which statement explains whether Kevin is correct?

a)

Kevin is correct only if $ab<10$

b)

Kevin is correct only if $a+b<10$

c)

Kevin is not correct because the exponents are subtracted when multiplying powers with the same base, and 5 - 4 = 1.

d)

Kevin is not correct because the exponents are multiplied when multiplying powers with the same base, and $5\times4=20$

38.

Lily is making cookies. The graph below shows the linear relationship between the number of cups of butter and the number of cups of sugar she uses.

How many cups of sugar does Lily use for 1 cup of butter?

a)

$\frac{3}{4}$

b)

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

c)

$2\ \frac{1}{4}$

d)

$3$

39.

Kara uses 4 red lights for every 9 purple lights in an art display. Which graph models the relationship between the number of red lights (x) and the number of purple lights (y) Kara uses?

a)

b)

c)

d)

40.

The graph shows a line and triangles A and B.

Which statement about the graph is correct?

a)

The slope of the line is -3/2, and the length of the hypotenuse of triangle B is 3/2 times the length of the hypotenuse of triangle A.

b)

The slope of the line is -3/2, and the length of the hypotenuse of triangle B is 2 times the length of the hypotenuse of triangle A.

c)

The slope of the line is -2/3, and the length of the hypotenuse of triangle B is 3/2 times the length of the hypotenuse of triangle A.

d)

The slope of the line is -2/3, and the length of triangle B is 2 times the length of the hypotenuse of triangle A.

41.

The graph shows a line and triangles A and B.

Which statement about the graph is correct?

a)

The slope of the line is -3/2, and the length of the hypotenuse of triangle B is 3/2 times the length of the hypotenuse of triangle A.

b)

The slope of the line is -3/2, and the length of the hypotenuse of triangle B is 2 times the length of the hypotenuse of triangle A.

c)

The slope of the line is -2/3, and the length of the hypotenuse of triangle B is 3/2 times the length of the hypotenuse of triangle A.

d)

The slope of the line is -2/3, and the length of triangle B is 2 times the length of the hypotenuse of triangle A.

42.

The graph below shows the relationship between the time, in hours, and the number of books printed, in thousands, at a book manufacturing company.

Based on the graph, which equation describes the relationship between the time, in hours, and the number of books printed, in thousands?

a)

$y=\frac{1}{3}x$

b)

$y=x+\frac{1}{3}$

c)

$y=3x$

d)

$y=x+3$

43.

Solve:

$3x+8=2\left(x-5\right)+x$

a)

$x=-18$

b)

$x=18$

c)

no solution

d)

infinitely many solutions

44.

Two functions are represented by the graph and table below.

Which statement about the rate of change for the two functions is true?

a)

The rate for function 1 is greater because $\frac{3}{2}>\frac{2}{3}$ .

b)

The rate for function 2 is greater because $\frac{3}{2}>\frac{2}{3}$ .

c)

The rate for function 1 is greater because it has a greater y-intercept.

d)

The rate for function 2 is greater because it has a greater x-intercept.

45.

The table below represents a function of x.

Which statement about the function is true?

a)

The function is increasing, has a y-intercept of 5, and has a slope of 1.

b)

The function is decreasing, has a y-intercept of 5, and has a slope of 1.

c)

The function is increasing, has a y-intercept of -5, and has a slope of -1.

d)

The function is decreasing, has a y-intercept of -5, and has a slope of -1.

46.

The graph below models the number of people (y) in a library based on the number of hours (x) since the library opened.

Between which two consecutive hours since the library opened does the number of people in the library increase the most?

a)

between 3 and 4 hours

b)

between 4 and 5 hours

c)

between 6 and 7 hours

d)

between 7 and 8 hours

47.

The scatter plot shown below represents the price and number of pages for each of 9 paperback books.

Which statement about the prices and number of pages for the paperback books represented in the scatter plot is true?

a)

The point (125, 6) is an outlier.

b)

There is a cluster of data at x = 400.

c)

The data show a positive correlation.

d)

The data show a nonlinear association.

48.

a)

$\frac{1}{4^6}$

b)

$\frac{1}{4^3}$

c)

$4^{11}$

d)

$4^{30}$

49.

a)

The value of x is zero, and the value of y is an integer less than zero.

b)

The value of x is the square root of an integer, and the value of y is an integer greater than zero.

c)

The value of x is an integer less than zero, and the value of y is an integer greater than zero.

d)

The value of x is a square root that can be simplified to an integer, and the value of y is an

integer less than zero.

50.

3. Which number is positive, rational, and has a value between 0 and 1?

a)

$-0.\overline{2}$

b)

$\pi-3$

c)

$\sqrt{\frac{1}{4}}$

d)

$\frac{3}{2}$

51.

a)

The number is rational and equivalent to $\frac{56}{99}$ .

b)

The number is rational and equivalent to $\frac{56}{100}$ .

c)

The number is irrational and equivalent to $\frac{1}{56}$ .

d)

The number is irrational and cannot be represented as a fraction written with integers.

52.

a)

0

b)

1

c)

$\frac{1}{9^{2c}}$

d)

9

53.

6. Fran buys used DVDs. She pays $2.75 for each DVD she buys. She graphs a line to show the
total amount (y), in dollars, she pays to buy x used DVDs. Which equation correctly describes
Fran’s line?

a)

$y=2.75$

b)

$y=2.75x$

c)

$y=x+2.75$

d)

$y=2.75x+2.75$

54.

a)

The two companies charge the same amount to rent a bicycle for $\frac{3}{5}$ hour.

b)

The two companies charge the same amount to rent a bicycle for 3 hours.

c)

The two companies never charge the same amount to rent a bicycle for the same number of hours.

d)

The two companies always charge the same amount to rent a bicycle for the same number of hours.

55.

8. Which statement describing a function of x is true?

a)

The graph of y = 3x + 9 is linear and has a y-intercept of 9.

b)

The graph of y = 3x is nonlinear and passes through the origin.

c)

The graph of y = 3x2 is linear and passes through the point (0, 0).

d)

The graph of y = 32x + 9 is nonlinear and passes through the point (0, 9).

56.

a)

$-3$

b)

$-\frac{1}{3}$

c)

$\frac{1}{3}$

d)

$3$

57.

a)

a reflection across the x-axis, followed by a dilation centered at the origin with a scale factor of 0.5

b)

a dilation centered at the origin with a scale factor of 0.5, followed by a reflection across the y-axis

c)

a translation 4 units to the right, followed by a dilation centered at the origin with a scale factor of 0.5

d)

a rotation of 180° about the point (0, –0.5), followed by a dilation centered at the origin with a scale factor of 0.5

58.

a)

Angle A is a right angle.

b)

Angle B is a right angle.

c)

Angle C is a right angle.

d)

Triangle ABC is not a right triangle.

59.

12. Point R is located at (1, 2) on a coordinate grid. Point S is located at (4, –5) on the same coordinate grid. What is the distance from point R to point S, rounded to the nearest tenth?

a)

3.2 units

b)

4.6 units

c)

7.6 units

d)

10.0 units

60.

a)

7

b)

25

c)

99

d)

396

61.

a)

1

b)

7

c)

17

d)

20

62.

a)

$y=0.8x+8$

b)

$y=8x+0.8$

c)

$y=-0.8x+8$

d)

$y=-8x+0.8$

63.

a)

Of all the families surveyed, more than 1/2 have neither a cat nor a dog.

b)

Of all the families surveyed who do not have a dog, 3/4 do have a cat.

c)

Of all the families surveyed who do have a cat, 12% do not have a dog.

d)

Of all the families surveyed, 32% have either a cat or a dog, but not both a cat and a dog.

64.

What is the first step in solving this problem:
-12 ÷ 6(-3) + 8

a)

multiplication

b)

addition

c)

division

d)

subtraction

65.

4(8) ÷ (8 − 6)

a)

-2

b)

18

c)

-1

d)

16

66.

Evaluate the expression when x = 8.
7(6+3−x)

a)

72

b)

56

c)

21

d)

7

67.

Evaluate: 2⁵

a)

64

b)

32

c)

16

d)

8

68.

Evaluate (-3)²

a)

-9

b)

9

c)

-6

d)

6

69.

In between what two integers is the square root of 44?

a)

3 and 4

b)

4 and 5

c)

5 and 6

d)

6 and 7

70.

√100

a)

15

b)

10

c)

11

d)

12

71.

Level 3: Estimate the square root.

a)

Between 3 and 4 and closer to 3

b)

Between 2 and 3 and closer to 3

c)

Between 3 and 4 and closer to 4

d)

Between 2 and 3 and closer to 2

72.

Level 2

Identify the letter that best estimates the following square root on the following number line.

√156

a)

d

b)

b

c)

c

d)

e

73.

Five less than the difference of thirty and five times a number x is greater than 10.

a)

(30 - 5x) - 5 > 10

b)

(5x - 30) - 5 > 10

c)

5 - (5x - 30) > 10

d)

5 - (30 - 5x) > 10

74.

Twenty-three less than the difference of thirty-eight and a number n is less than eight.

a)

23 - 38 - n < 8

b)

23 - (38 - n) < 8

c)

(n - 38) - 23 < 8

d)

(38 - n) - 23 < 8

75.

$9.123456124363949847464792...$
Classify the number.

a)

rational

b)

irrational

c)

neither rational or irrational

d)

both rational and irrational

76.

$3.2525252525252525...$
Classify the number.

a)

rational

b)

irrational

c)

neither rational or irrational

d)

both rational and irrational

77.

Solve

\frac{x}{2}-5=3

a)

x = -2

b)

x = 2

c)

x = 16

d)

x = 8

78.

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

79.

2x + 3(5x - 7) = 47

a)

1

b)

2

c)

3

d)

4

80.

9+2a=-3-4a

a)

a = -2

b)

a = 2

c)

a = 5

d)

a = -1

81.

Solve:
10x + 9 = 4x - 9

a)

0

b)

3

c)

-3

d)

-18

82.

Find the solution to the following problem:

x+2=x+4

a)

all real numbers

b)

x=0

c)

no solution

d)

many solutions

83.

Solve for x: 5(2x-1)=-5+10x

a)

x=5

b)

No solution

c)

x=0

d)

All real numbers

84.

What type of slope does the graph have?

a)

Zero

b)

Undefined

c)

Negative

d)

Positive

85.

Find the slope of the line.

a)

-5/4

b)

5/4

c)

-4/5

d)

4/5

86.

Determine the slope and y-intercept. y = 3/2x + 3

a)

slope: 5 y-intercept: (0,3)

b)

slope: 3/2 y-intercept: (0,3)

c)

slope: 4 y-intercept: (0,3/2)

d)

slope: 1/5 y-intercept: (0,5)

87.

Find the slope of the line that passes through
(1, -19) and (-2, -7)

a)

-4

b)

4

c)

1/4

d)

-1/4

88.

Write in slope intercept form

5x - 3y = -9

a)

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

b)

$y=\frac{5}{3}x+9$

c)

$y=\frac{5}{3}x+3$

d)

$y=\frac{3}{5}x+3$

89.

Which is the graph of y= -x + 2?

a)

A

b)

B

c)

C

d)

D

90.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

91.

According to exponent rules, when we raise the power to a power we _______ the exponents.
Example: (d²)⁵

a)

add

b)

subtract

c)

multiply

d)

divide

92.

According to exponent rules, when we multiply two power with the same base we _______ the exponents.
Example: c⁶ ⋅ c⁴

a)

add

b)

subtract

c)

multiply

d)

divide

93.

(2⁸)²

a)

2¹⁶

b)

2¹⁰

c)

2⁶

d)

2⁴

94.

8⁷ ⁄ 8²

a)

8⁵

b)

8⁹

c)

8¹⁴

d)

1⁵

95.

x⁵⁄x³

a)

x²

b)

x

c)

1

d)

x⁸

96.

Simplify
x⁻⁶

a)

1 ⁄ x⁶

b)

x⁶

c)

-x⁶

d)

-1 ⁄ x⁶

97.

3³ ⋅ 3

a)

3⁴

b)

3³

c)

3⁰

d)

1 ⁄ 3⁴

98.

Simplify
(y³)⁵

a)

y¹⁵

b)

y⁸

c)

y⁻²

d)

y

99.

-3xy³ . (4xy)²

a)

-12x³y⁵

b)

-48x²y⁴

c)

-48x³y⁵

d)

-12x²y⁶

100.

$w^{15}\cdot\frac{1}{w^5}$

a)

$w^{10}$

b)

$w^{20}$

c)

$w^3$

d)

$\frac{1}{w^{75}}$

101.

Find the missing exponent:
5y² . (2y³)^x= 80y¹⁴

a)

x = 9

b)

x = 4

c)

x = 3

d)

x = 2

102.

$\left(\frac{2x^9}{5y^4}\right)^4$

a)

$\frac{8x^{36}}{20y^{16}}$

b)

$\frac{16x^{13}}{625y^8}$

c)

$\frac{16x^9}{625y^4}$

d)

$\frac{16x^{36}}{625y^{16}}$

103.

In the following equation, what is the y-intercept?
y = -3x + 7

a)

-3

b)

7

c)

-3/7

d)

3

104.

What is the slope in the equation? $y=4x+3$

a)

3

b)

4x

c)

4

d)

x

105.

What type of slope does the following graph have?

a)

Postive

b)

Negative

c)

Zero Slope

d)

Undefined

106.

Find the slope of the line that passes through the points (2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

107.

Write in slope intercept form

5x - 3y = -9

a)

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

b)

$y=\frac{5}{3}x+9$

c)

$y=\frac{5}{3}x+3$

d)

$y=\frac{3}{5}x+3$

108.

Write in slope-intercept form:

-3x + 4y = 12

a)

$y=\frac{3}{4}x+3$

b)

$y=-\frac{3}{4}x+3$

c)

$y=-4x+3$

d)

$y=4x+3$

109.

Which equation represents the following graph?

a)

y = 3x + 2

b)

y = -2x + 3

c)

y = 2x + 3

d)

y = -3x + 2

110.

Which graph represents $y=-\frac{3}{2}x+4$

a)

b)

c)

d)

111.

Write the equation of the line.

a)

y= -1x-3

b)

y= -3x-1

c)

y=-1/3x-1

d)

y= -3x-3

112.

Write equation of the line containing (3,2) and (4,4)

a)

y = 1/2x + 2

b)

y = 2x - 4

c)

y = 1/2x + 4 1/2

d)

y = -2x + 12

113.

^{What is the solution to the system?}

a)

(1,1)

b)

-2

c)

(1, 2)

d)

(1, -1)

114.

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)

115.

What is the solution?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(0, 1)

116.

Solve by graphing.
y = 2x + 1
y = 4x - 1

a)

(1,3)

b)

(-1,-3)

c)

(-1,3)

d)

(3,1)

117.

Parallel Lines never intersect because...

a)

they have the same slopes.

b)

they have the same y-intercept.

c)

they have different slopes.

d)

they have different y-intercepts.

118.

Does the system have one, none or infinite solutions?

8x + 4y = 12

2x + y = 3

a)

(0,3)

b)

(3,0)

c)

No solution

d)

Infinitely many solutions

119.

2x + y = 0

4x - y = 0

a)

(1,2)

b)

(0,0)

c)

No Solutions

d)

Infinite Solutions

120.

Solve for x and y
3x + 2y = 16
7x + y = 19

a)

(-2,5)

b)

(-2,-5)

c)

(2,-5)

d)

(2,5)

121.

What is the solution to the system?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

122.

The ratio of the change in y to the change of x represents ____.

(Select all that apply.)

a)

functions

b)

rate of change

c)

slope

d)

initial value

123.

Compare the rates of change.

a)

The rate of change of item I is greater than the rate of change of item II.

b)

The rate of change of item I is equal to the rate of change of item II.

c)

The rate of change of item II is greater than the rate of change of item I.

124.

Compare the initial values of each function.

a)

The initial value of item I is greater than the initial value of item II.

b)

The initial value of item I is equal to the initial value of item II.

c)

The initial value of item II is greater than the initial value of item I.

125.

Determine if the following functions are increasing or decreasing.

a)

Both functions are decreasing.

b)

The function in item I is increasing, and the function in item II is decreasing.

c)

The function in item I is decreasing, and the function in item II is increasing.

d)

Both functions are increasing.

126.

A relation where each input has exactly one output is called what?

a)

Relation

b)

Linear

c)

Exponential

d)

Function

127.

Determine whether the relation is a function.

a)

Relation & Function

b)

Relation

128.

Determine whether the relation is a function.

a)

Relation & Function

b)

Relation

129.

a)

Relation

b)

Function

c)

Relation & Function

d)

Neither

130.

Determine whether the relation is a function.

a)

Relation & Function

b)

Relation only

131.

Is this a function?

a)

Yes

b)

No

132.

a)

Relation

b)

Function

c)

Relation & Function

d)

Neither

133.

Is the function Linear or Nonlinear?

a)

Linear

b)

Nonlinear

134.

Determine if the graph is linear or nonlinear.

a)

Linear

b)

Nonlinear

135.

Is this function linear or nonlinear?

a)

Linear

b)

Nonlinear

136.

Is the table linear or nonlinear?

a)

Linear

b)

Nonlinear

137.

LINEAR or NONLINEAR?

y = 7x³ + 5

a)

linear

b)

nonlinear

138.

Is the function linear or nonlinear?
$y=\frac{2}{x}+3$

a)

Linear

b)

Nonlinear

139.

Identify where the function is increasing.

a)

$-2<x<2$

b)

$x>2$

c)

$x<-2$

d)

The function is increasing for all values of x.

140.

Identify where the function is decreasing.

a)

$x<0$

b)

$x>0$

c)

The function is decreasing for all values of x.

141.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

142.

What is the distance between the two points?

a)

6.3

b)

6.5

c)

6.7

d)

16

143.

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

a)

17 miles

b)

32 miles

c)

37 miles

d)

40 miles

144.

Find the length of the line segment.

a)

9.7

b)

10.7

c)

11.7

d)

12.7

145.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

146.

Which letter matches the coordinate (-3, 1)?

a)

N

b)

F

c)

W

d)

V

147.

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

148.

Find the perimeter of the triangle.

(a)

149.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

150.

The Pythagorean Theorem is
a² + b²+ c²

a)

false

b)

true

151.

_{^{Find the missing side}}

a)

48

b)

108

c)

83.6

d)

72

152.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

3

153.

Which set of sides would make a right triangle?

a)

4, 5, 6

b)

8, 10, 12

c)

5, 12, 13

d)

5, 10, 12

154.

What does a translation do to a figure on the coordinate plane?

a)

Rotates it

b)

Flips it

c)

Shrinks it

d)

Slides it

155.

Determine how to translate triangle A'B'C' to triangle ABC.

a)

(x+2, y-5)

b)

(x+2, y-9)

c)

(x-2, y-9)

156.

Determine where X' would be if you translated X 3 units to the left and 9 units down.

a)

(-4, 4)

b)

(-10, 2)

c)

(-4, -5)

d)

(-1, 5)

157.

Determine where T' would be if you translated 3 units to the right and 6 units up.

a)

(5, 1)

b)

(2, -5)

c)

(-1, 1)

d)

(8, -2)

158.

How is trapezoid ABCD translated to trapezoid A'B'C'D'?

a)

Translated 5 units to the right and 5 units down

b)

Translated 8 units to the right and 5 units down

c)

Translated 5 units to the right and 8 units down

d)

Translated 4 units to the right and 5 units down

159.

What type of association does this graph have?

a)

positive

b)

negative

c)

none

d)

all of the above

160.

What type of association does this graph show?

a)

Positive

b)

negative

c)

none

d)

all of the above

161.

Is this line an accurate line estimate of best fit for the data?

a)

Yes

b)

No

162.

Is this line an accurate line estimate of best fit for the data?

a)

Yes

b)

No

163.

What is the equation of the line of best fit?

a)

y= $-\frac{1}{2}x\ +\ 6$

b)

y= $\frac{1}{2}x\ +6$

c)

y= 6x + 2

d)

y = -2x +6

LARGE PSSA Sampler

Total questions: 163

Worksheet time: 9hrs 10mins

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