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pSAT

Total questions: 60

Worksheet time: 1hrs 20mins

Name
Class
Date
1.
to infuriate
a)
enrage
b)
lassitude
c)
askew
d)
ambiance
2.
small opening
a)
ballistics
b)
cranny
c)
girth
d)
coterie
3.
distance around
a)
lassitude
b)
cranny
c)
girth
d)
cubism
4.
propelling force
a)
coterie
b)
askew
c)
lassitude
d)
propulsive
5.
the study of projectiles
a)
ballistics
b)
propulsive
c)
ambiance
d)
coterie
6.
crooked, awry
a)
cranny
b)
propulsive
c)
askew
d)
girth
7.
listlessness, weariness
a)
ambiance
b)
lassitude
c)
cranny
d)
coterie
8.
style of art
a)
ballistics
b)
ambiance
c)
coterie
d)
cubism
9.
close associates
a)
coterie
b)
askew
c)
enrage
d)
girth
10.
What __________ my wife is when I forget to wipe my feet before coming home.
a)
propells
b)
askews
c)
enrages
d)
girths
11.

Which of the following is an equivalent form of the expression

 15x+24ax15x+24ax  

a)

 39ax239ax^2  

b)

 39(a+2x)39\left(a+2x\right)  

c)

 (5+8a )x\left(5+8a\ \right)x  

d)

 (15+24a)x\left(15+24a\right)x  

12.

The formula

 d=rtd=rt  is used to calculate the distance an object travels over a period of time,  tt  , at a constant rate,  rr . Based on this formula, what is the rate, 

 rr  , in terms of  dd  and  tt  ?

a)

 r=dtr=\frac{d}{t}  

b)

 r=dtr=dt  

c)

 r=tdr=\frac{t}{d}  

d)

 r=d−tr=d-t  

13.

Which of the following ordered pairs (x,y)\left(x,y\right) satisfies both equations  y=x2+3x−4y=x^2+3x-4  and  x=y−4x=y-4  ? 


a)

(0,-4)

b)

(2,6)

c)

(3,14)

d)

(5,9)

14.

Which of the following is a solution to the equation 2x2+4x=3+3x22x^2+4x=3+3x^2  ?


a)

-1

b)

0

c)

3

d)

6

15.

-3x-4y=20
    x-10y=16

If (x,y) is the solution to the system of equations above, what is the value of x?

a)

-14

b)

-12

c)

-4

d)

16

16.

-3x-4y=20
    x-10y=16

If (x,y) is the solution to the system of equations above, what is the value of x?

a)

-14

b)

-12

c)

-4

d)

16

17.

The equation y=36 + 18x models the relationship between the height y, in inches, of a typical golden delicious apple tree and the number of years, x, after it was planted. If the equation is graphed in the xy-plane, what is indicated by the y-intercept of the graph?

a)

The age, in years, of a typical apple tree when it is planted

b)

The height, in inches, of a typical apple tree when it is planted

c)

The number of years it takes a typical apple tree to grow

d)

The number of inches a typical apple tree grows each year

18.

Giovanni wants to buy shirts that cost $19.40 each and sweaters that cost $24.80 each. An 8% sales tax will be applied to the entire purchase. If Giovanni buys 2 shirts, which equation relates the number of sweaters purchased, p, and the total cost in dollars, y?

a)

1.08(38.80+24.80p)=y

b)

38.80+24.80p=0.92y

c)

38.80+24.80p=1.08y

d)

0.92(38.80+24.80p)=y

19.

A line is graphed in the xy-plane. If the line has a positive slope and a negative y-intercept, which of the following points cannot lie on the line?

a)

(-3,-3)

b)

(-3,3)

c)

(3,-3)

d)

(3,3)

20.

A parachute design uses 18 separate pieces of rope. Each piece of rope must be at least 270 centimeters and no more than 280 centimeters long. What inequality represents all possible values of the total length of rope x, in centimeters, needed for the parachute?

a)


270≤x≤280270\le x\le280

b)

4860≤x≤48704860\le x\le4870

c)

4860≤x≤50404860\le x\le5040

d)

5030≤x≤50405030\le x\le5040

21.

A carpenter has $60 with which to buy supplies. The carpenter needs to buy both nails and screws. Nails cost $12.99 per box, and screws cost $14.99 per box. If n represents the number of boxes of nails and s represents the number of boxes of screws, which of the following systems of inequalities models this situation?

a)

{12.99n+14.99s ≥\ge 60
{n+s ≤\le 1

b)

{12.99n+14.99s ≤\le 60

{n+s \le 1

c)

{12.99n+14.99s \ge 60

{n ≥\ge 1
{s ≥\ge 1

d)

{12.99n+14.99s ≤\le 60

{n \ge 1

{s \ge 1

22.

In the figure above, which of the following ratios has the same value as  ABBC\frac{AB}{BC}  

a)


 BDDC\frac{BD}{DC}  

b)

 BCAC\frac{BC}{AC}  

c)

 ADBD\frac{AD}{BD}  

d)

 DCBC\frac{DC}{BC}  

23.

 (x2y3)12(x2y3)13=xa3ya2\left(x^2y^3\right)^{\frac{1}{2}}\left(x^2y^3\right)^{\frac{1}{3}}=x^{\frac{a}{3}}y^{\frac{a}{2}}  


If the equation above, where a is a constant, is true for all positive values of x and y, what is the value of a?

a)

2

b)

3

c)

5

d)

6

24.

If the equation y=(x-6)(x+12) is graphed in the xy-plane, what is the x-coordinate of the parabola's vertex?

a)

-6

b)

-3

c)

3

d)

6

25.

21x+14=7(3x+a)


In the equation above, a is a constant. For what value of a does the equation have an infinite number of solutions

(a)  

26.

Juliene practiced her dance routine for twice as many minutes on Monday as she did on Tuesday. She practiced her routine those two days for a total of 2 hours and 15 minutes. For how many minutes did Juliene practice her dance routine on Monday?

(a)  

27.

In the expression below, a is an integer. 12x2+ax−2012x^2+ax-20  If 3x+4 is a factor of the expression above, what is the value of a?

(a)  

28.

(ax+by)(cx-dy)


In the expression above, a, b, c, and d are non-zero constants and ad=bc. If ac=18 and bd=50, what is the value of the coefficient of the xy term when the expression is multiplied out and the like terms are collected?

(a)  

29.
A pharmacist filled 5 prescriptions in 20 minutes.  At this rate, how many prescriptions would the pharmacist expect to gill in 2 hours?
a)
15
b)
25
c)
30
d)
35
30.
Which of the following is equivalent to 3(x + 5)-6
a)
3x-3
b)
3x-1
c)
3x+9
d)
15x-6
31.
If 6x= 25, what is the value of 3(x+ 1/2)?
a)
53/6
b)
51/2
c)
13
d)
14
32.
Martin spent $855 on expenses for a trip.  The expenses included hotel, rental car, and meals. He spent 50% more for the hotel than for the rental car and meals combined.  What did Martin spend on his hotel?
a)
$570
b)
$513
c)
$214
d)
$155
33.
A tank is completely filled with water.  A pump is used to drain the tank.  The amount of water remaining in the tank is given by the equation y=600-25x, where x is the number of minutes since the pump started and y is the volume, in gallons, of water remaining in the tank.  In the equation, what are the meanings of the numbers 25 and 600?
a)
The number 25 is the number of minutes it will take to drain the tank, which holds 600 gallons of water.
b)
The number 25 is the rate of increase, in gallons per minute, of the flow from the tank, which holds 600 gallons of water.
c)
The number 25 is the rate of increase, in gallons per minute, in the volume of water in the tank, which started at 600 gallons.
d)
The number 25 is the rate of decrease, in gallons per minute, in the volume of water in the tank, which started at 600 gallons.
34.
y= x-4
4x-4y=12
The system of equations above consists of two equations, and the graph of each equation in the xy-plane is a line.  Which of the following statements is true about these two lines?
a)
The lines are parallel
b)
The lines are the same
c)
The lines are perpendicular
d)
The lines intersect at (-4, -3)
35.
Louis bought two movies at his local store.  The regular price for each movie was r dollars.  The store charged Louis the regular price for the first movies and gave him a 25 percent discount on the second movie.  He was charged 8 percent sales tax on the entire purchase.  Which of the following expressions gives the total, in dollars, Louis paid, including sales tax?
a)
1.08r + 0.75r
b)
1.08(2(0.75r))
c)
1.08(r + 0.75r)
d)
1.08(r - 0.25r)
36.
The resale value of a car is expected to decrease by 15 percent from one year to the next from the year the car is purchased.  What type of relationship should be expected between the age of a car and the resale value?
a)
Linear relationship whose graph has a positive slope
b)
Linear relationship whose graph has a negative slope
c)
Quadratic relationship in which higher resale values of a car correspond to lower age values of the car
d)
Exponential relationship in which lower resale values of a car correspond to higher age values of the car
37.
A certain rectangular prism has a height of h inches, a width that is 3 inches less than its height, and a length that is 4 inches more than its height.  If the area of the base prism is 60 square inches, what is the volume of the prism, in cubic inches?
a)
480
b)
702
c)
8
d)
540
38.
In an Italian class, 65% of the students were women.  At the end of the class, 52% of the men and 44% of the women received a certificate.  What percentage of the class received a certificate?
a)
96%
b)
47%
c)
50%
d)
8%
39.
If the sample is representative of a high school with 2,000 freshman and seniors, then based on the table, what is the predicted number of freshman at the high school who would select math as their favorite high school subject?
a)
520
b)
240
c)
65
d)
30
40.
If one of the seniors from the sample is selected at random, which of the following is the closest to the probability the student selected science as his or her favorite high school subject?
a)
0.48
b)
0.26
c)
0.32
d)
0.15
41.
The total amount Thad paid for water bottles and cookies was $45.  If the combined cost of one water bottle and one cookie is $2, what is the cost of one cookie?
a)
$0.75
b)
$0.91
c)
$1.09
d)
$1.25
42.
What was the cost of one ticket for a child younger than fourteen?
a)
$0.15
b)
$6.50
c)
$8.30
d)
$11.65
43.
a)
The kinetic energy of an object with a mass of 1 kilogram moving at 2 meters per second
b)
The kinetic energy of an object with a mass of 1 kilogram moving at 1 meter per second
c)
The kinetic energy of an object with a mass of 1 kilogram moving at 0.5 kilometer per hour
d)
The kinetic energy of an object with a mass of 2 kilograms moving at 1 meter per second
44.
The formula above can be used to calculate the total surface area of the right square pyramid shown, where x is the length of a side of the square base, and s is the slant heights of a lateral face.  What must the expression 2xs represent?
a)
The sum of the areas of the lateral faces
b)
The area of one lateral face
c)
The area of the base
d)
The area of the base and one lateral  face
45.
In the right triangle  above, BE=5, and AB=12.  If the length of AC is 1 unit more than twice the length of DE, what is the length of DE?
a)
1/2
b)
5/2
c)
3
d)
4
46.
A company test marketed an item at different prices in a region of the country.  The scatterplot above shows the item prices and the profit made by the company when the item sold at different item prices.  A quadratic model that best fits the data is also shown.  For a price of $60, which of the following best approximates the percent increase from the test market profit to the profit that the model predicts? 
a)
50%
b)
75%
c)
100%
d)
200%
47.
a)
A
b)
B
c)
C
d)
D
48.
a)
A
b)
B
c)
C
d)
D
49.

The speed of the kangaroos are ultimately what saved them from the fire.

a)

Correct as is.

b)

The speed of the kangaroos were ultimately what saved them from the fire.

c)

The speed of the kangaroos is ultimately what saved them from the fire.

d)

The speed of the kangaroos has been ultimately what saved them from the fire.

50.

Each of the students were given a bottle of hand sanitizer yesterday.

a)

Correct as is.

b)

Each of the students was given a bottle of hand sanitizer yesterday.

c)

Each of the students have been given a bottle of hand sanitizer yesterday.

d)

Each of the students is given a bottle of hand sanitizer yesterday.

51.

Neither the faculty nor the students is allowed in the building.

a)

Correct as is.

b)

Neither the faculty nor the students was allowed in the building.

c)

Neither the faculty nor the students has been allowed in the building.

d)

Neither the faculty nor the students are allowed in the building.

52.

Did anyone read anything besides their cereal box this summer?

a)

Correct.

b)

Did anyone read anything besides a cereal box this summer?

c)

Did anyone read anything besides your cereal box this summer?

d)

Did anyone read anything besides one's cereal box this summer?

53.

Which one is correct?

a)

The end of WWII came when German forces surrender in Berlin and Italy

b)

The end of WWII came when German forces surrendered in Berlin and Italy

54.

Which is correct?

a)

Living in Paris is fantastic because of the public transportation, world class museums, and excellent restaurants.

b)

Living in Paris is fantastic because of the public transportation, world class museums, and eating in excellent restaurants.

55.

Which is correct?

a)

We ate the possum it was good.

b)

We at the possum, it was good.

c)

We ate the possum and it was good.

d)

We ate the possum; it was good.

56.

Which is correct?

a)

Having arrived late for practice, a written excuse was needed by the team captain.

b)

Having arrived late for practice, the team captain needed a written excuse.

57.

Which is correct?

a)

Its been a long time since their grandparents have visited.

b)

Its been a long time since there grandparents have visited.

c)

It's been a long time since there grandparents have visited.

d)

It's been a long time since their grandparents have visited.

58.

Which is correct?

a)

Daily exercise has beneficial affects on one's health.

b)

Daily exercise has beneficial effects on one's health.

59.

Which sentence is punctuated correctly?

a)

Cookies are good yet milk is better for you.

b)

Cookies are good yet, milk is better for you.

c)

Cookies are good, yet, milk is better for you.

d)

Cookies are good, yet milk is better for you.

60.

Which sentence is punctuated correctly?

a)

I like cheese, but not as much as Mrs. Dettmann likes chocolate.

b)

I like cheese but not as much as Mrs. Dettmann likes chocolate.

c)

I like cheese but, not as much as Mrs. Dettmann likes chocolate.

d)

I like, cheese, but not as much as Mrs. Dettmann likes chocolate

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