Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Graph a scatter plot using the given data. x | 3 | 6 | 5 | 2 | 7 | 4 | 8 | 1 | y | 4.5 | 6.5 | 6.5 | 3.5 | 6.5 | 4.5 | 8 | 4 | | | | | | | | | |
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2.
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Lionel observes that traffic is getting worse and it’s taking him longer
to get to work. He records once a week the following data for several weeks. Graph a scatter plot
using the given data. | Week | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | | Time (min) | 8.2 | 8.9 | 8.6 | 8.3 | 9 | 9.7 | 8.4 | 10.1 | | | | | | | | | |
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3.
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Describe the correlation illustrated by the scatter plot.  a. | cannot determine | c. | no correlation | b. | negative correlation | d. | positive
correlation |
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4.
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Data was collected on the average winter temperature and the number of days with
snow of a random group of cities in the United States. Identify the correlation you would expect to
see between the average winter temperature and the number of days with snow.
a. | constant correlation | c. | positive correlation | b. | no correlation | d. | negative
correlation |
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5.
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Choose the scatter plot that best represents the relationship between the number
of students who passed the final exam and the number of students who failed the class. Explain your
answer.
a. | 
This scatter plot shows a positive
correlation between the number of students who passed the final exam and the number of students who
failed the class. | c. | 
This scatter plot shows a negative
correlation between the number of students who passed the final exam and the number of students who
failed the class. | b. | 
This scatter plot shows
no correlation between the number of students who passed the final exam and the number of students
who failed the class. | d. | 
This scatter plot shows no correlation between the number of students who passed the
final exam and the number of students who failed the class. |
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6.
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The scatter plot shows the relationship between the weekly total sales ($) and
the number of different rug designs a rug store has. Based on this relationship, predict what the
total sales will be when the store has 110 different rug designs.  a. | $31,000 | c. | $38,000 | b. | $0 | d. | $35,000 |
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7.
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Which situation best describes a positive correlation?
a. | The amount of gasoline in a car and how far the car has traveled | b. | The temperature on
Tuesdays | c. | The size of a sundae and the amount of calories it contains | d. | The size of a
snowball and how long it has been melting |
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8.
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Tell whether the ordered pair (5, –3) is a solution of the system  .
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9.
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Solve the system  by graphing.
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10.
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The Fun Guys game rental store charges an annual fee of $5 plus $5.50 per game
rented. The Game Bank charges an annual fee of $17 plus $2.50 per game. For how many game rentals
will the cost be the same at both stores? What is that cost?
a. | 3 games; $22 | c. | 4 games; $27 | b. | 2 games; $16 | d. | 6 games; $38 |
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11.
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If the pattern in the table continues, in what month will the number of sales of
CDs and movie tickets be the same? What number will that be? Total Number Sold | | Month | 1 | 2 | 3 | 4 | | CDs | 700 | 685 | 670 | 655 | | Movie tickets | 100 | 145 | 190 | 235 | | | | | |
a. | Month 10; 550 | c. | Month 9; 580 | b. | Month 11; 550 | d. | Month 8; 580 |
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12.
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Solve  by using substitution. Express your answer as
an ordered pair. a. | (  ,  ) | c. | ( , 1) | b. | ( , –3) | d. | ( ,  ) |
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13.
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Solve  by using substitution. Express your answer as
an ordered pair. a. | (8, –4) | c. | (–2, 4) | b. | (4, –8) | d. | (4, 8) |
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14.
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Janice is going on vacation and needs to leave her dog at a kennel.
Nguyen’s Kennel charges $15 per day plus $20 for a processing fee. The Pup Palace Kennel
charges $12 per day, and has a $35 processing fee. After how many days is the Pup Palace Kennel
cheaper than Nguyen’s Kennel?
a. | The Pup Palace Kennel is always cheaper than Nguyen’s
Kennel. | b. | The Pup Palace Kennel is never cheaper than Nguyen’s
Kennel. | c. | The Pup Palace Kennel is cheaper than Nguyen’s Kennel after 15
days. | d. | The Pup Palace Kennel is cheaper than Nguyen’s Kennel after 5
days. |
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15.
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Solve  by using substitution.
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16.
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Solve  by using elimination. Express your answer as
an ordered pair. a. | (–2, –3) | c. | (0, –2) | b. | (–2, 0) | d. | (–8,
–6) |
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17.
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Solve  by using elimination. Express your answer as
an ordered pair. a. | (5, 0) | c. | (5, 22.5) | b. | (5, 17.5) | d. | (5, 0) |
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18.
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Solve  by using elimination. Express your answer as
an ordered pair. a. | (3, 4) | c. | (3, 2) | b. | (4, 3) | d. | ( ,  ) |
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19.
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At the local pet store, zebra fish cost $2.10 each and neon tetras cost $1.85
each. If Marsha bought 13 fish for a total cost of $25.80, not including tax, how many of each type
of fish did she buy?
a. | 7 zebra fish, 6 neon tetras | c. | 6 zebra fish, 7 neon
tetras | b. | 8 zebra fish, 5 neon tetras | d. | 5 zebra fish, 8 neon tetras |
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20.
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The sum of the digits of a two-digit number is 8. If the number is multiplied by
4, the result is 104. Write and solve a system of equations. Find the number.
a. | 
The number is 35. | c. | 
The number is 18. | b. | 
The number is
17. | d. | 
The number is 26. |
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21.
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Solve  .a. | ( ,  ) | b. | This system has
infinitely many solutions. | c. | ( ,  ) | d. | This system has no solutions. |
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22.
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Solve  . a. | This system has exactly one solution. | b. | This system has infinitely many
solutions. | c. | This system has no solution. | d. | (1, 1) and (0,
0) |
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23.
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Classify  . Give the number of solutions. a. | This system is inconsistent. It has no solutions. | b. | This system is
consistent. It has infinitely many solutions. | c. | This system is consistent. It has one
solution. | d. | This system is inconsistent. It has infinitely many
solutions. |
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24.
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Elena and her husband Marc both drive to work. Elena’s car has a current
mileage (total distance driven) of 9,000 and she drives 18,000 miles more each year. Marc’s car
has a current mileage of 60,000 and he drives 7,000 miles more each year. Will the mileages for the
two cars ever be equal? Explain.
a. | No; The equations have different slopes, so the lines do not
intersect. | b. | No; The equations have equal slopes but different y-intercepts, so the lines do not
intersect. | c. | Yes; The equations have different y-intercepts, so the lines
intersect. | d. | Yes; The equations have different slopes, so the lines
intersect. |
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25.
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Classify  . a. | Inconsistent and independent system | b. | Consistent and dependent
system | c. | Inconsistent and dependent system | d. | Consistent and independent
system |
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26.
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Tell whether (8, 5) is a solution of  . a. | No, (8, 5) is not a solution of  . | b. | Yes, (8, 5) is a
solution of  . |
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27.
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Tell whether (5, 6) is a solution of  . a. | No, (5, 6) is not a solution of  . | b. | Yes, (5, 6) is a
solution of  . |
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28.
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Graph the solutions of the linear inequality  .
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29.
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Tony has $18 to buy apples and bananas for a fruit salad. Apples cost $2 per
pound and bananas cost $1 per pound. Write and graph an inequality to describe the situation. Then
give two possible combinations of pounds of apples and bananas that Tony can buy.
a. | 2a + b ³ 18; 2 pounds of apples and 18
pounds of bananas or 4 pounds of apples and 16 pounds of bananas.
 | b. | 2a + b £ 18; 2 pounds of apples and 12
pounds of bananas or 4 pounds of apples and 2 pounds of bananas.
 | c. | 2a + b £ 18; 2 pounds of apples and 18
pounds of bananas or 4 pounds of apples and 16 pounds of bananas.
 | d. | 2a + b ³ 18; 2 pounds of apples and 12
pounds of bananas or 4 pounds of apples and 2 pounds of bananas.
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30.
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Write an inequality to represent the graph.  a. | y < 2x + 3 | c. | y
> 2x + 3 | b. | y £
2x + 3 | d. | y
< 3x + 2 |
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31.
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Graph the inequality  .
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32.
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Tell whether (2, 7) is a solution of  . a. | No, (2, 7) is not a solution of the system. | b. | Yes, (2, 7) is a
solution of the system. |
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33.
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Graph the system of linear inequalities  . Give two
ordered pairs that are solutions and two that are not solutions. a. | (0, 0) and ( 4,  5) are solutions.
(2, 2)
and (10, 1) are not solutions.
 | c. | (2, 2) and (0, 10) are
solutions.
(0, 0) and ( 5,  1) are not
solutions.
 | b. | (5,  6)
and (0, 0) are solutions.
(1, 1) and (2, 0) are not solutions.
 | d. | (1,  2) and ( 6, 0) are solutions.
(1, 5) and (0, 0) are
not solutions.
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34.
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Graph the system of linear inequalities  .
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35.
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Find the degree of the monomial  .
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36.
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Find the degree of the polynomial  .
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37.
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Write the polynomial 3x2 – 8x –
12x5 – 5x3 + 2x4 – 6 in
standard form. Then give the leading coefficient.
a. | 
The leading coefficient is
–12. | b. | 
The leading coefficient is
–6. | c. | 
The leading coefficient is
–12. | d. | 
The leading coefficient is
–6. |
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38.
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a. | The polynomial is a seventh degree monomial. | b. | The polynomial is a
linear monomial. | c. | The polynomial is a seventh degree binomial. | d. | The polynomial is a
quadratic binomial. |
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39.
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A toy rocket is launched from a platform 34 feet above the ground at a speed of
90 feet per second. The height of the rocket in feet is given by the polynomial  ,
where t is the time in seconds. How high will the rocket be after 3 seconds? a. | 160 feet | c. | 2608 feet | b. | 126 feet | d. | 256 feet |
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40.
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41.
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42.
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43.
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Add. 
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44.
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Add. 
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45.
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Add. 
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46.
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Subtract. 
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47.
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Subtract. 
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48.
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Subtract. 
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49.
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Subtract. 
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50.
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A company distributes its product by train and by truck. The cost of
distributing by train can be modeled as  , and the cost of distributing by trucks can be
modeled as  , where x is the number of tons of
product distributed. Write a polynomial that represents the difference between the cost of
distributing by train and the cost of distributing by trucks.
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