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Practice SAT

Total questions: 189

Worksheet time: 16hrs 45mins

Name
Class
Date
1.

SAT.1

Solve  12 - 6y = 24

a)
-1
b)
-2
c)
-3
d)
-4
2.

SAT.2

3x + 2(4x - 4) = 3

a)
4
b)
3
c)
2
d)
1
3.

SAT.3

7(1 - y) = -3(y - 2)

a)
x = 1/4
b)
x = 4
c)
x = 5
4.

SAT.4

Solve for p

a)

A−12a = pA-\frac{1}{2}a\ =\ p

b)

2Aa=p\frac{2A}{a}=p

c)

A2a=p\frac{A}{2a}=p

d)

2A−a = p2A-a\ =\ p

5.

SAT.5

Solve for d

a)

C − π=dC\ -\ \pi=d

b)

C + π=dC\ +\ \pi=d

c)

πC=d\pi C=d

d)

Cπ=d\frac{C}{\pi}=d

6.

SAT.6

Solve for p

a)

SA−2Bh=p\frac{SA-2B}{h}=p

b)

SAh−2B=p\frac{SA}{h}-2B=p

c)

SA−h2B=p\frac{SA-h}{2B}=p

d)

SA−2B−h=pSA-2B-h=p

7.

SAT.7

Solve for h

a)

V −l−w = hV\ -l-w\ =\ h

b)

V−lw = hV-lw\ =\ h

c)

Vlw= h\frac{V}{lw}=\ h

d)

V−lw=hV-\frac{l}{w}=h

8.

SAT.8

Solve for r:

a)

LA−2πh = rLA-2\pi h\ =\ r

b)

LA2πh= r\frac{LA}{2\pi h}=\ r

c)

LA2−πh = r\frac{LA}{2}-\pi h\ =\ r

d)

2LAπh= r\frac{2LA}{\pi h}=\ r

9.

SAT.9

Solve for h:

a)

3Vπr2=h\frac{3V}{\pi r^2}=h

b)

13V −πr2=h\frac{1}{3}V\ -\pi r^2=h

c)

3V − πr2=h3V\ -\ \pi r^2=h

d)

13Vπr2=h\frac{1}{3}V\pi r^2=h

10.

SAT.10

Solve for c:


a)

c = −ax2−bxc\ =\ -ax^2-bx

b)

c = ax2+bxc\ =\ ax^2+bx

c)

c=ax2bxc=\frac{ax^2}{bx}

d)

c=ax2−bxc=ax^2-bx

11.

SAT.11

9y+8=9y-8

a)

No Solution

b)

One Solution

c)

Infinite Solution

12.

SAT.12

-10y-6 = -10y-6

a)

No Solution

b)

One Solution

c)

Infinite Solutions

13.

SAT.13

3(x-8)=3x-24

a)

No Solution

b)

One Solution

c)

Infinite Solutions

14.

SAT.14

6(m+3)=2(m+5)

a)

No solution

b)

One Solution

c)

Infinite Solutions

15.

2(m+3)=2m+12

a)

No Solution

b)

One Solution

c)

Infinite Solutions

16.
a)

No Solution

b)

One Solution

c)

Infinite Solutions

17.
What equation matches this situation?
John wants to buy an MP3 Player that costs $30.98.  How much change did he receive if he gives the cashier $40.
a)
40 + c = 30.98
b)
30.98 + c = 40
c)
c - 40 = 30.98
d)
c - 30.98 = 40
18.
Grandpa Gump is 63 years old. His age is 2 years less than 5 times the age of Billy Gump. How could I find out how old Billy is?
a)
x/5 - 2 = 63
b)
5x - 2 = 63
c)
2x - 5 = 63
d)
5x + 2 = 63
19.
m plus the product of 6 and n 
a)
m + 6n
b)
m - 6 + n
c)
6m + n
d)
m + 6 + n 
20.
How would you translate
x - 5 = 12 into words?
a)
x - 5 = 12
b)
The product of x and 5 is twelve
c)
x less than 5 is 12
d)
Five less than x is 12.
21.

Which choice models this situation?

Robyn had some video games, then bought 4 more. Now she has a total of 10 games.

a)

v - 4 = 10

b)

v + 4 = 10

c)

10/4 = v

d)

4v = 10

22.

Translate the following:


"the product of a number and negative 8"

a)


−8n-8n

b)

−8n-\frac{8}{n}

c)

n×8n\times8

d)

n−8n-8

23.

Translate this phrase into an algebraic equation:

A number tripled subtracted from 60 is the same as 21.

a)

3c − 60 = 21

b)

60 − 3 = 21c

c)

60 − 3c = 21

d)

c(60 − 3) = 21

24.
Translate this phrase into an algebraic expression.
8 less than the product of 4 and a number
Use the variable m to represent the unknown number.
a)
8 - 4m
b)
8m - 4
c)
8m + 4
d)
4m - 8
25.
What does "product" mean?
a)
Multiply
b)
Divide
c)
Add
d)
Subract
26.
What is the difference between an expression and equation?
a)
Expressions have an equal sign and equations do not have an equal sign
b)
Expressions do not have an equal sign and equations do have an equal sign
c)
There is not a difference
d)
Expressions do not have variables and equations have variables
27.
Translate this phrase into an algebraic expression.
8 less than the product of 4 and a number
Use the variable m to represent the unknown number.
a)
8 - 4m
b)
8m - 4
c)
8m + 4
d)
4m - 8
28.

Four more than six times a number is 18.

a)

4x + 16 = 18

b)

4x + 6 = 18

c)

6x + 4 = 18

d)

18= 4 + 6

29.

the difference of twice a number and four is 12

a)

(2a + 4)= 15

b)

(2a - 4) = 12

c)

(2 - 4) = 12

d)

a - 4 = 12

30.

Three fourths of a number is 20

a)

34\frac{3}{4} m = 20

b)

undefined m = 14

c)

undefined m = 21

d)

undefined m = 23

31.

The ratio of a number to 15 is 35

a)

x15\frac{x}{15} = 35

b)

15x = 35

c)

undefined = 36

d)

15x\frac{15}{x} = 35

32.

4(x+3) - 5

a)

4x + 7

b)

4x - 2

c)

4x - 17

d)

4x + 2

33.

6(7 + x) + 5x

a)

6x + 13

b)

x + 42

c)

6x + 42

d)

11x + 42

34.

6(3x - 2) + 4x

a)

22x - 12

b)

7x + 4

c)

22x - 2

d)

18x + 2

35.

5(y + 6) + 4

a)

5y + 15

b)

5y + 34

c)

5y + 10

d)

y + 34

36.

5(1 - y) - 3y

a)

-4y + 5

b)

-2y + 5

c)

3y + 5

d)

-8y + 5

37.

Simplify: 50 - (35 - 10 ⋅ 2)

a)

50

b)

0

c)

35

d)

-5

38.

Simplify:

63 ÷ 7 - 3 ⋅ 2 + 4

a)

7

b)

-9

c)

-1

d)

3

39.

Simplify:

8 + [ (4 + 5) ⋅ 2 ]

a)

18

b)

48

c)

26

d)

34

40.

Simplify:

[ (19 -5) ÷ 2] ⋅ 7

a)

14

b)

2

c)

42

d)

49

41.

Simplify:

3[16 - (3 + 7) ÷ 5]

a)

3

b)

7.6

c)

42

d)

3.6

42.

Simplify:

(21 - 1) ⋅ 2 ÷ 4

a)

10

b)

5

c)

4

d)

40

43.

Simplify:

24 ÷ 4 ⋅ 2 + (32 - 1 + 6)

a)

5

b)

14

c)

17

d)

26

44.

Simplify:

14 - 8 + 4 ⋅ 23

a)

60

b)

38

c)

30

d)

12

45.

Simplify:

2(9 - 2 + 3) ÷ 4

a)

5

b)

2

c)

4

d)

19

46.

Which PEMDAS math sentence says the following:

The difference of 8 and 7, multiplied by 4 (Be careful)!

a)

(8 ⋅ 7) - 4

b)

8 - 7 ⋅ 4

c)

8 - (7 ⋅ 4)

d)

4(8 - 7)

47.

Which PEMDAS math sentence says the following:

The quotient of 21 and 3, multiplied by 6 (careful)...

a)

6(21 ÷ 3)

b)

21 ÷ (3 ⋅ 6)

c)

21 ⋅ 3 ÷ 6

d)

21 ÷ 6 ⋅ 2

48.

Simplify:

16 ÷ (4 ⋅ 2 - 7)

a)

-5

b)

1

c)

-1

d)

16

49.
4.032
a)
Rational 
b)
Irrational
50.
√31
a)
Rational
b)
Irrational
51.

A survey of 100 students found that 60% of them prefer math over other subjects. How many students prefer math?

a)

80

b)

40

c)

60

d)

30

52.

In a scatter plot, what type of relationship is indicated if the points form a straight line going upwards from left to right?

a)

positive linear relationship

b)

curvilinear relationship

c)

no relationship

d)

negative linear relationship

53.

The sum of three consecutive even numbers is 90. What is the largest of the three numbers?

a)

32

b)

36

c)

34

d)

30

54.

In a scatter plot, what type of relationship is indicated if the points form a straight line going downwards from left to right?

a)

positive linear relationship

b)

no relationship

c)

negative linear relationship

d)

exponential relationship

55.

A data set has a median of 25 and a range of 40. What is the maximum value in the data set?

a)

45

b)

60

c)

50

d)

35

56.
Write the ratio as a fraction in simplest form.
 15 girls to 6 boys   
a)
5 to 2
b)
5/3
c)
3 to 5
d)
5/2
57.
Write the ratio as a fraction in simplest form. 
 
  24 players : 3 teams
a)
8:3
b)
8 to 1
c)
8/1
d)
8/3
58.
Do the ratios form a proportion?
a)
Yes, they form a proportion.
b)
No, they do not form a proportion.
59.
Do the ratios form a proportion?
a)
Yes, they form a proportion.
b)
No, they do not form a proportion.
60.
Solve the proportion.
a)
k=5
b)
k=3.3333333
c)
k=60
d)
k=90
61.
Solve the proportion.
a)
n=6
b)
n=24
c)
n=7
d)
n=8
62.
Solve the proportion.
a)
q=2
b)
q=9
c)
q=4.5
d)
q=6
63.
In a certain apartment building, the ratio of tenants to cars is 3:5. If there are 30 tenants, how many cars are there?
a)
35
b)
60
c)
18
d)
50
64.
In an animal shelter, the ratio of dogs to cats is 5 to 3. There are 25 dogs.  Write and solve a proportion to find the number c of cats.
a)
c=15
b)
c=18
c)
c=21
d)
c=16
65.
Find missing side
a)
5
b)
7
c)
9
d)
11
66.

What type of correlation does this graph have?

a)

Negative

b)

no association

c)

positive

67.

What type of correlation does this graph have?

a)

positive

b)

negative

c)

none

d)

all of the above

68.

Mrs. Collins made a scatterplot to show the relationship between the number of absences and a student’s final exam score. Based on this scatterplot, a student with 12 absences should get approximately what score on the final exam?

a)

60

b)

92

c)

70

d)

76

69.

Which sentence describes the relationship shown on this scatter plot?

a)

As the temperature decreases, the visitors increase.

b)

As the temperature increases, the number of visitors increases.

c)

As the visitors increase, the temperature decreases.

d)

No correlation

70.

What type of correlation does this scatter plot show?

a)

positive

b)

negative

c)

no correlation

d)

nonlinear association

71.

Mrs. Collins made a scatterplot to show the relationship between the number of absences and a student’s final exam score. Based on this scatterplot, a student with 6 absences should get approximately what score on the final exam?

a)

85

b)

92

c)

60

d)

76

72.

The scatter plot shows the relationship between the number of chapters and the total number of pages for several books. Use the trend line to predict how many pages would be in a book with 19 chapters.

a)

150 pages

b)

170 pages

c)

190 pages

d)

210 pages

73.

Based on the graph, if Joe earned $400, how many hours did he work?

a)

25 hours

b)

35 hours

c)

45 hours

d)

15 hours

74.
The following scatter plot shows Pam's training as she prepares to run a 6 mile race at the end of the month.  Which of the following would be a reasonable approximation for the length of time it would take for her to run 6 miles? 
a)
A. 50 min
b)
B. 80 min
c)
C. 45 min
d)
D. 60 min
75.

Based on the scatterplot, which of the following conclusions about the relationship between her height and weight is true?

a)

There is a negative relationship between height and weight

b)

There is a positive relationship between height and weight

c)

There is a constant relationship between height and weight

d)

There is no relationship between height and weight

76.
Which equation best represents the data?
a)
A.  y= -3/5x + 2
b)
B  y = 5/3x -2 
c)
C  y = -3/5x - 2
d)
D  y= 5/3x + 2
77.
Which equation best represents the data?
a)
A  y = x + 2
b)
B  y = -x + 2
c)
C  y = x - 2
d)
D  y = -x - 2 
78.
As the age of the car increases, its value decreases. Which scatterplot represents this relationship?
a)
A
b)
B
c)
C
d)
D
79.

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

a)

Yes

b)

No

80.

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

a)

Yes

b)

No

81.
How many females were surveyed?
a)
10
b)
16
c)
26
d)
14
82.
What type of rock to females like most?
a)
Punk
b)
Soft
c)
Classic
d)
Metal
83.
How many people were surveyed?
a)
54
b)
34
c)
88
d)
17
84.
According to the table, what is the relative frequency of Students ages 14 - 17 who skip breakfast?
a)
About 27%
b)
About 35%
c)
About 15%
d)
About 30%
85.
According to the table, what is the relative frequency of students ages 10 - 13 who eat breakfast?
a)
About 33%
b)
About 50%
c)
About 40%
d)
About 44%
86.

If f(x) = 2x + 1 and g(x) = 4x - 4, what is f(0) x g(0)?

a)

-5

b)

-4

c)

4

d)

8

87.

A group of people are surveyed about the number of books they read each month, and the results are graphed in the pie chart. If the sample accurately represents the 420,000 people in the city of Omaha, how many people in Omaha can we expect to read 3 or more books per month?

a)

84,000

b)

105,000

c)

189,000

d)

218,000

88.

A printer can print at a rate of 5 pages per minute. How many hours will it take to print 300 pages?

a)

0.5 hours

b)

1 hour

c)

1.5 hours

d)

3 hours

89.

If f(x) is a linear function that passes through the points (4, 3) and (-4, -9), what is the y-intercept of f(x)?

a)

(0, 2)

b)

(2, 0)

c)

(0, -3)

d)

(-3, 0)

90.

A random sample of the students in two different universities were surveyed for their sleep habits. The results are shown in the table above. Which of the following statements is supported by the information in the table?

a)

The hours of sleep per night varies more among students at University A than students at University B.

b)

More students attend University B than University A.

c)

More than half of the students at University B get 7 hours of sleep per night.

d)

Half of the students at University A get 6 hours of sleep per night.

91.

The table above shows the number of fire any colonies found in Greenville from 1992 to 2995. Which of the following graphs best represents the number of fire ant colonies in Greenville during this time period?

a)
b)
c)
d)
92.

Logan bought 36 pieces of bubble gum, which was 40% of the store's stock. How much bubble gum is remaining in the store?

a)

54

b)

72

c)

80

d)

90

93.

A company polls a group of 1,067 people randomly selected to represent New York City. The company determines that 10% of the sample group does not like cheese, while the remaining 90% does like cheese. The poll is true with a 3% margin of error. If there are 8.5 million people in New York City, what is the best estimate for the number of people who do not like cheese?

a)

850,000 people

b)

Between 425,000 and 1,275,000 people

c)

Between 595,000 and 1,105,000 people

d)

Between 722,500 and 977,500 people

94.

A research assistant randomly selected 75 undergraduate students from the list of all students enrolled in the psychology-degree program at a large university. She asked each of the 75 students, "How many minutes per day do you typically spend reading?" The mean reading time in the sample was 89 minutes, and the margin or error for this estimate was 4.28 minutes.


Another research assistant intends to replicate the survey and will most attempt to get a smaller margin of error. Which of the following samples will most likely result in a smaller margin of error for the estimated mean time students in the psychology-degree program read per day?

a)

40 randomly selected undergraduate psychology-degree program students

b)

40 randomly selected undergraduate students from all degree programs at the college

c)

300 randomly selected undergraduate psychology-degree program students

d)

300 randomly selected undergraduate students from all degree programs at the college

95.

The first metacarpal bone is located in the wrist. The scatterplot below shows the relationship between the length of the first metacarpal bone and height for 9 people. The line of best fit is also shown.


How many of the nine people have an actual height that differs by more than 3 centimeters from the height predicted by the line of best fit?

a)

2

b)

4

c)

6

d)

9

96.

A system of three equations is graphed. How many solutions does the system have?

(At how many points do all three graphs intersect)

a)

1

b)

2

c)

3

d)

4

97.

The table below classifies 103 elements as metal, metalloid, or nonmetal and as solid, liquid, or gas at standard temperature and pressure.


What fraction of all solids and liquids in the table are metalloids?

a)

7/92

b)

2/30

c)

1/2

d)

0

98.

A company's manager estimated that the cost C, in dollars of producing "n" items is C = 7n + 350. The company sells each item for $12. The company makes a profit when total income from selling a quantity of items is greater than the total cost of producing that quantity of items. Which of the following inequalities gives all possible values of "n" for which the manager estimates that the company will make a profit?

a)

n < 70

b)

n < 84

c)

n > 70

d)

n > 84

99.

A researcher wanted to know if there is an association between exercise and sleep for the population of 16-year-olds in the United States. She obtained survey responses from a random sample of 2000 United States 16-year-olds and found convincing evidence of a positive association between exercise and sleep. Which of the following conclusions is well supported by the data?

a)

There is a positive association between exercise and sleep for 16-year-olds in the United States.

b)

There is a positive association between exercise and sleep for 16-year-olds in the world.

c)

Using exercise and sleep as defined by the study, an increase in sleep is caused by an increase of exercise for 16-year-olds in the United States.

d)

Using exercise and sleep as defined by the study, an increase in sleep is caused by an increase of exercise for 16-year-olds in the world.

100.

When a scientist dives in salt water to a depth of 9 feet below the surface, the pressure due to the atmosphere and surrounding water is 18.7 pounds per square inch. As the scientist descends, the pressure increases linearly. At a depth of 14 feet, the pressure is 20.9 pounds per square inch. If the pressure increases at a constant rate as the scientist’s depth below the surface increases, which of the following linear models best describes the pressure p in pounds per square inch at a depth of d feet below the surface?

a)

p = 0.44d + 0.77

b)

p = 0.44d + 14.74

c)

p = 2.2d - 1.1

d)

p = 2.2d - 9.9

101.

The scatterplot above shows counts of Florida manatees, a type of sea mammal, from 1991 to 2011. Based on the line of best fit to the data shown, which of the following values is closest to the average yearly increase in the number of manatees?

a)

0.75

b)

75

c)

150

d)

750

102.

A researcher places two colonies of bacteria into two petri dishes that each have area 10 square centimeters. After the initial placement of the bacteria the researcher measures and records the area covered by the bacteria in each dish every ten minutes. The data for each dish were fit by a smooth curve, as shown above, where each curve represents the area of a dish covered by bacteria as a function of time, in hours. Which of the following is a correct statement about the data above?

a)

At time t = 0, both dishes are 100% covered by bacteria.

b)

At time t = 0, bacteria covers 10% of Dish 1 and 20% of Dish 2.

c)

At time t= 0, Dish 2 is covered with 50% more bacteria than Dish 1.

d)

For the first hour, the area covered in Dish 2 is increasing at a higher average rate than the area covered in Dish 1.

103.

A typical image taken of the surface of Mars by a camera is 11.2 gigabits in size. A tracking station on Earth can receive data from the spacecraft at a data rate of 3 megabits per second for a maximum of 11 hours each day. If 1 gigabit equals 1,024 megabits, what is the maximum number of typical images that the tracking station could receive from the camera each day?

a)

3

b)

10

c)

56

d)

144

104.

Which of the following statements is equivalent to the statement -4 < x ≤ 2

a)

x > -2 and x ≤ 1

b)

x < -2 and x ≥ 1

c)

x ≥ -2 and x < 1

d)

x ≤ -2 and x > 1

105.

It costs Emma P dollars to make each of her custom bracelets, which she sells for m dollars a piece. She makes a profit of $60 if she makes and sells 5 of these bracelets, but she only makes a profit of $10 if she makes 5 bracelets but only sells 4 of them. How much does it cost Emma to make each bracelet?

a)

$36

b)

$38

c)

$48

d)

$50

106.

T = 0.25q + 87

Manon's statistics professor puts a bonus question on every test, which adds 0.25 points to a student's overall grade at the end of the term. The above equation gives Manon's current overall grade, T, after taking into account q extra credit questions answered correctly. What does the 87 mean in this equation?

a)

Manon must get an 87 or above to pass.

b)

Manon's average is an 87 before adding the extra credit.

c)

After adding in her extra credit, Manon's average is an 87.

d)

Manon's professor gave 87 opportunities for extra credit this term.

107.

Zhan Lei Spent $20.00 during his last outing at the bowling alley. This included a one time show rental fee of $3.50. He spent the rest of the money on bowling a number of games. If it took Zhang Lei 45 minutes to bowl each game and he spent 2 hours and 15 minutes bowling, how much did it cost per game?

a)

$3.00

b)

$5.50

c)

$6.67

d)

$7.34

108.
Simplify:
(2x2+4x+7)-(x2+3x+4)
a)
x2+x+3
b)
x+x+3
c)
2x+x+3
d)
x2-x+3
109.
Simplify:
24x 26
a)
210
b)
224
c)
1023
d)
2
110.
40
a)
4
b)
1
c)
0
d)
16
111.
Identify a,b, and c based on the quadratic formula.
2x2-3x+24=0
a)
a=2, b=-3, c=24
b)
a=2, b=3, c=24
c)
a=2, b=-3,c=-24
d)
a=2, b=3, c=-24
112.
​x+y​​=0
3x−2y​​​=10​​
Which of the following ordered pairs (x,y) satisfies the system of equations above (CI)
a)
(3, -2)
b)
(2, -2)
c)
(-2, 2)
d)
(-2, -2)
113.
Tyra subscribes to an online gaming service that charges a monthly fee of $5.00 and $0.25 per hour for time spent playing premium games. Which of the following functions gives Tyra's cost, in dollars, for a month in which she spends x hours playing premium games? 
a)
C(x) = 5.25x
b)
C(x) = 5x + 0.25
c)
C(x) = 5 + 0.25x
d)
C(x) = 5 + 25x
114.
Which ordered pair (x,y) satisfies the system of equations shown below?
2x - y = 6
x + 2y = -2 
a)
(-6, 2)
b)
(-2, 2) 
c)
(2, -2) 
d)
(4, 2) 
115.
A soda company is filling bottles of soda from a tank that contains 500 gallons of soda. At most, how many 20-ounce bottles can be filled from the tank? (1 gallon = 128 ounces) 
a)
25
b)
78
c)
2,560
d)
3,200
116.
A car traveled at an average speed of 80 miles per hour for 3 hours and consumed fuel at a rate of 34 miles per gallon. Approximately how many gallons of fuel did the car use for the entire 3-hour trip? 
a)
3
b)
2
c)
6
d)
7
117.
A high school basketball team won exactly 65 percent of the games it played during last season. Which of the following could be the total number of games the team played last season? 
a)
22
b)
20
c)
18
d)
14
118.
110x + y = 1,210
A coffee shop is running a promotion where a number of free coffee samples are given away each day. The equation above can be used to model the number of free coffee samples, y, that remain to be given away x days after the promotion began. What does it mean that (11,0) is a solution to this equation? 
a)
During the promotion, 11 samples are given away each day. 
b)
It takes 11 days during the promotion to see 1,210 customers. 
c)
It takes 11 days during the promotion until none of the samples are remaining. 
d)
There are 11 samples available at the start of the promotion. 
119.
Boyd grows only tomatoes and raspberries in his garden. Last year, he grew 140 pounds of tomatoes and 60 pounds of raspberries. This year, the production, by weight, of tomatoes declined by 20 percent, and the production, by weight, of raspberries declined by 50 percent. By what percentage did the total yield, by weight, of Boyd's garden decline? 
a)
29%
b)
30%
c)
35%
d)
70%
120.
Janice puts a fence around her rectangular garden. The garden has a length that is 9 feet less than 3 times its width. What is the perimeter of Janice's fence if the area of her garden is 5,670 square feet? 
a)
342 feet 
b)
318 feet 
c)
300 feet 
d)
270 feet 
121.
A babysitter earns $8 an hour for babysitting 2 children and an additional $3 tip when both children are put to bed on time.  If the babysitter gets the children to bed on time, what expression could be used to determine how much the babysitter earned?
a)
8x+3 where x is the number of hours
b)
3x+8 where x is the number of hours
c)
x(8+2) + 3 where x is the number of children
d)
3x+(8+2) where x is the number of children
122.
3(x+y)=y
If (x,y) is a solution to the equation above and y does not equal 0, what is the ratio x/y ?
a)
-4/3
b)
-2/3
c)
1/3
d)
2/3
123.
a)
(-112, -264)
b)
(64,88)
c)
(232/3, 224/3)
d)
(288,536)
124.
In a certain game, a player can solve easy or hard puzzles.  A player earns 30 points for solving an easy puzzle and 60 points for solving a hard puzzle.  Tina solved a total of 50 puzzles playing this game, earning 1,950 points in all.  How many hard puzzles did Tina solve?
a)
10
b)
15
c)
25
d)
35
125.
a)
A
b)
B
c)
C
d)
D
126.
a)
A
b)
B
c)
C
d)
D
127.
If f(x-1)=2x+3 for all values of x, what is the value of f(-3)
a)
-7
b)
-5
c)
-3
d)
-1
128.
a)
A
b)
B
c)
C
d)
D
129.
For what value of h is 
24= (h/10) - 6?
a)
30
b)
200
c)
300
d)
10
130.
What is the value of a if 
(2a + 3)-(4a-8)=7?
a)
1
b)
10
c)
4
d)
2
131.

A pharmacist filled 5 prescriptions in 20 minutes.  At this rate, how many prescriptions would the pharmacist expect to fill in 2 hours?

a)
15
b)
25
c)
30
d)
35
132.
Which of the following is equivalent to 3(x + 5)-6
a)
3x-3
b)
3x-1
c)
3x+9
d)
15x-6
133.
If 6x= 25, what is the value of 3(x+ 1/2)?
a)
53/6
b)
51/2
c)
13
d)
14
134.
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
135.
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.
136.
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)
137.
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
138.
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
139.
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%
140.
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
141.
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
142.
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
143.
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
144.
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
145.
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%
146.
a)
A
b)
B
c)
C
d)
D
147.

The amount of money a software company earns is directly proportional to the number of copies of software sold. The company earns $280 for selling 8 copies. How much money will the company earn from selling 38 copies?

a)

x = $1,330

b)

x = $81,400

c)

x = $1,335

d)

x = $508

148.

2(5a − 3)(6a + 5)

Which of the following is equivalent to the expression above?

a)

60a² − 15

b)

60a² − 30

c)

60a² + 7a − 15

d)

60a² + 14a − 30

149.

If x > 0 and x² − x = 12, what is the value of x ?

a)

x = 3

b)

x = -3

c)

x = 4

d)

x = -3 and x = -4

150.

A car averages 27 miles per gallon. If gas costs $4.04 per gallon, which of the following is closest to how much the gas would cost for this car to travel 2,727 typical miles?

a)

$44.44

b)

$109.08

c)

$118.80

d)

$408.04

e)

$444.40

151.

When x = 3 and y = 5, by how much does the value of

3x2 – 2y exceed the value of 2x2 – 3y ?

a)

4

b)

14

c)

16

d)

20

e)

50

152.

The length, in inches, of a box is 3 inches less than twice its width, in inches. Which of the following gives the length, l inches, in terms of the width, w inches, of the box?

a)

L = ½ w + 3

b)

L = w + 3

c)

L = w - 3

d)

L = 2w + 3

e)

L = 2w - 3

153.

What is the value of x when 2x + 3 = 3x – 4 ?

a)

-7

b)

. -⅕

c)

1

d)

⅕

e)

7

154.

How many irrational numbers are there between 1 and 5 ?

a)

infinitely Many

b)

3

c)

4

d)

10

e)

1

155.

In the standard (x,y) coordinate plane below, 3 of the vertices of a rectangle are shown. Which of the following is the 4th vertex of the rectangle?

a)

(3,-7)

b)

(4,-8)

c)

(5,-1)

d)

(8,-3)

e)

(9,-3)

156.

The lead of a screw is the distance that the screw advances in a straight line when the screw is turned 1 complete turn. If a screw is 2 inches long and has a lead of inch, how many complete turns would get it all the way into a piece of wood?

a)

5

b)

10

c)

15

d)

20

e)

25

157.

If xy = 144, x + y = 30, and x > y, what is the value of x – y ?

a)

24

b)

18

c)

6

d)

30

158.
a)
A
b)
B
c)
C
d)
D
159.
a)
A
b)
B
c)
C
d)
D
160.
a)
A
b)
B
c)
C
d)
D
161.
a)
A
b)
B
c)
C
d)
D
162.
a)
A
b)
B
c)
C
d)
D
163.
a)
A
b)
B
c)
C
d)
D
164.
a)
A
b)
B
c)
C
d)
D
165.
Answer the following:
a)
250/3
b)
500/3
c)
600
d)
480
166.
Answer the following:
a)
60ks/c
b)
ks/60c
c)
ks/c
d)
60c/ks
167.
Answer the following:
a)
A
b)
B
c)
C
d)
D
168.
Answer the following:
a)
5
b)
20
c)
{-5, 20}
d)
{5, 20}
169.
If x = -5, the value of -3 - 4x - x² is
a)
-48
b)
-8
c)
2
d)
13
170.
A lunch menu has 3 types of sandwiches, 4 types of chips, and 5 types of drinks.  How many ways can a person order a sandwich, chips and a drink?
a)
12
b)
25
c)
60
d)
120
171.
A consultant charges $45 for each hour she works on a consultation, plus a flat $30 consulting fee.  How many hours of work are included in a $210 bill for consultation?
a)
2  4/5
b)
4
c)
4  2/3
d)
7
172.
What values are the solutions for x2 + 2x = 8?
a)
-4 and 2
b)
-2 and 0
c)
-2 and 4
d)
6 and 8
173.
The fixed costs of manufacturing basketballs in a factory are $1400 per day.  The variable costs are $5.25 per basketball.  Which of the following expressions can be used to model the cost of manufacturing basketballs in one day?
a)
$1405.25b
b)
1400 + 5.25b
c)
1400b +5.25
d)
1400 - 5.25b
174.
a)

A

b)

B

c)

C

d)

D

175.
a)

A

b)

B

c)

C

d)

D

176.
a)

A

b)

B

c)

C

d)

D

177.
a)

A

b)

B

c)

C

d)

D

178.
a)

A

b)

B

c)

C

d)

D

179.
a)

A

b)

B

c)

C

d)

D

180.
a)

A

b)

B

c)

C

d)

D

181.
a)

A

b)

B

c)

C

d)

D

182.
a)

A

b)

B

c)

C

d)

D

183.
a)

A

b)

B

c)

C

d)

D

184.
a)

A

b)

B

c)

C

d)

D

185.
a)

A

b)

B

c)

C

d)

D

186.
a)

A

b)

B

c)

C

d)

D

187.
a)

A

b)

B

c)

C

d)

D

188.
a)

A

b)

B

c)

C

d)

D

189.
a)

A

b)

B

c)

C

d)

D

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