MSP Review Packet
Ch 1 & 2
1.
9(k
6)
Name ___________________________________________ pd __
20 for k  11
2. Which algebraic expression represents “3 less
than the sum of 5 and r ”?
F
(5 • r)
G
3
(5  r)
3,
Write a word phrase for the algebraic expression:
4.
Maddie earns $8 per hour. Write an algebraic expression
to evaluate how much money Maddie will earn if she
works for 15, 20, 25, or 30 hours. Complete the table.
5.
Compare. Write , , or .
6.
Write the integers in order from least to greatest.
a)
46, 16, 21, 9, 0, 12
b)
7.
a)
| 9| ___ | 6|
3
b)
H (5  r)
3
J (5
3
r)
|16| ___ | 18|
28, 12, 31, 7, 22, 3
Simplify each expression;
a)
| 14|  |3|
b)
| 200|  | 20|
8.
During a possession in a football game, the Vikings gained 22 yards, lost 15 yards, gained 3
yards, gained 20 yards and lost 5 yards. At the end of the possession, how many yards had they lost or
gained?
a) gained 43 yards
b) lost 43 yards
c) lost 25 yards
d) gained 25 yards
9.
The temperature fell from 44°F to 56°F in 24 hours in Browning, Montana, on
January 23–24, 1916. By how many degrees did the temperature change?
10.
Simplify the following. Circle your answer.
a) 50( 4 1)
b)
20 ÷ -4
c)
16(5
15)
d) -16 – (-3) 2 + 10 ÷-5
11. Solve the following. Circle your answer.
a) 10  x 5.
b) 7g  33
-14
30
23
c)
12.
Simplify the fraction:
14.
Order these numbers from least to greatest: 0.15, 0.23, 0.2, –
15.
Multiply:
16. Divide:
17.
13. Write 0.20 as a simplified fraction.
a)
b)
a)
b)
Evaluate:
a)
13.8  x for x  2.31.
b)
… for m (solve)
m  6.6  17
18. Solve the following. Circle your answer.
a)
11 − 3x = −10
Ch. 5 and RP Supplement:
b)
c)
−7.8 = 4.4 + 2r
19)
Find two ratios that are equivalent to each given ratio.
a)
20)
b)
Tell whether the ratios form a proportion.
a)
b)
21) A clothing store ordered 10 dozen sweatshirts, 60 of which were size XL. The next month, the store ordered
15 dozen sweatshirts with an equivalent number being size XL. How many XL sweatshirts were ordered in
the second month?
22) A molecule of phosphoric acid contains 3 atoms of hydrogen to every 4 atoms of oxygen. Could a
compound containing 16 atoms of oxygen and 12 atoms of hydrogen be phosphoric acid? Explain.
23)
Find the unit rate. Round to the nearest hundredth.
a. A 64-ounce bottle of apple juice costs $1.35.
b. 12 slices of pizza cost $9.00.
24)
A stalactite has grown 11 centimeters in 900 years. What is the average speed of the stalactite’s growth, to
the nearest thousandth?
25)
Convert each measure:
a. 500 yards to feet
c.
b. 7 quarts to gallons
Miles walked in 1 hour at an average rate of 5.5 feet per second
26)
The ruby-throated hummingbird is about 4 inches long and is noted for its annual nonstop migration of 500
miles across the Gulf of Mexico, and for the rapid flapping of its wings. Some hummingbirds flap their
wings 55 times per second. If the ruby-throated hummingbird is only 4 inches long and migrates 500 miles,
how many of the hummingbird’s body lengths are equal to the distance of its migration?
27)
Determine if the ratios are proportional:
a.
b.
28)
An assembly line can make 55 dolls in 45 minutes. If the assembly line runs for 189 minutes, how many
dolls can it make?
29)
Allison is stuffing 1,000 envelopes for her friend's company. It has taken her 6 minutes to stuff 80
envelopes. If she continues at the same rate, how long will it take her to stuff the rest of the envelopes?
Tell whether each equation represents a proportional relationship. If so, identify the
constant of proportionality.
30.
y  0.04x
31. 3y  2x  5
32. 4y  2x
33. 8y  4x  12
Tell whether each set of data represents a proportional relationship. If so, identify
the constant of proportionality and then write the equation.
34.
35.
x
y
2
5
x 10 20 30
y 2
4
6
4
6
10 15
36.
37.
Time (Days)
Distance (k)
1
640
1.3
870
1.6
1,095
School days
Days Roy was out sick
18 36 54
2.5 6
7
Tell whether each graph represents a proportional relationship.
38.
39.
40. What does graph of a proportional relationship look like? _____________________
41.
Eric and Andrea are planning a snowboarding trip up to Snoqualmie Pass. “Ride the Waves”
(RTW) Company charges a one time fee of $80 plus $10 per person. “The Abominable
Snowman” Company charges only $15 per person.
a) For each company write an equation for the relationship between the number of people and the
cost. Use “x” and “y” as your variables and define your variables to indicate which represents cost
and which represents number of people. X should be the independent variable.
b)
X represents:
y: represents:
RTW:
TAS:
Graph the two equations on the coordinate graph. Label the axes.
c) The two teens invited 22 of their friends (a total of 24 people), to go snowboarding. Which
company has the best deal for their trip? Explain and/or show how you found your answer. Label
all work and answers.
d) Do either of the companies have a pricing structure that is proportionate? Explain and/or show
how you know.
Ch. 8:
21)
Find the area of the figure:
22)
The Daughertys bought a piece of land that is 64 ft by 127 ft. They plan on building a two-story house that
is 38 ft by 66 ft. How much land will remain after they build the house?
23)
Find the area of the material required to cover the kite pictured here.
24)
Find the length of each side of a triangle if the perimeter is 73 in. The length of the second side is twice the
length of the first side and the length of the third side is five more than the length of the first side.
25) Find the circumference and area of the circle to the nearest tenth. Use 3.14 for π.
25 in
26)
A small pizza has a diameter of 10 inches, and a medium has a diameter of 12 inches. How much more
pizza do you get with the medium pizza?
27)
Find the volume of the figure to the nearest tenth.
28)
Atmo’s Theater’s large-sized popcorn container is a cylinder with a diameter of 9 in. and is 6 in. tall. The
medium-sized container has a diameter of 6 in. and is 8 in. tall. Find the difference in the volumes.
29)
The Feathered Serpent Pyramid is located in Teotihuacan, Mexico. Its base is a square that measures 65 m
on each side. The pyramid is 19.4 m high. What is the volume of the Feathered Serpent Pyramid?
30)
The radius of a cone is 19.4 cm and its height is 24 cm. Find the volume of the cone to the nearest tenth.
31)
What is the surface area of a rectangular prism that is 5 feet by 6 feet by 10 feet?
32)
How much cardboard material is required to make a cylindrical oatmeal container that has a diameter of
12.5 cm and a height of 24 cm, assuming there is no overlap? The container will have a plastic lid.
Ch. 12
49) Determine whether the equation is linear: y = 22x
65.
50)
Find the equation for the line. (graph is to the right)
x
Find the slope of the line that passes
through
the points ( 3, 4) and (5, 1).
51)
52) Find the slope of the line that passes through the
points (6, 3) and (1, 7).
53)
Make a table, then graph the equation
1
𝑦 = − 𝑥+3
2
x
y
54)
Graph the equation y = x
1.
55)
Graph the equation y =
56)
Make tables and one graph. (You may have to rearrange the equation using your algebra skills.)
x + 2.
4x + y = -1
y
y–4=x
x
y
Graph for 56
57)
Graph for 57
Make a table for each equation, then graph on one graph.
𝑦−2=
1
3
𝑥
𝑦=
x
x
y
y
−2
3
𝑥−1
Chapter 11 - (Part I)
1.
Simplify the following expressions by combining like terms:
a) 3 + 2x + 6y – 9 + 4x – 8y
b)
-10x + 27 – 6x + 10y + 5x –4
2.
Simplify each expression using the order of operations:
a)
33 – 4(22 + 4 • -3)
b)
-2(6 • 2 – 10)2 + 8 – 32
3.
Multiple Choice: Use the order of operations, combing like terms and the distributive property to find the
equivalent expression for 2(10 + 3x) – (4x + 5).
a) -2x + 15
4.
b) 2x + 15
c) 25 – 2x
d) 25 + 2x
Multiple Choice: Use the order of operations, combing like terms and the distributive property to find the
equivalent expression for 10 – 2 • 2-1(-3x + 5 • 2 + 4x)
a) 20 + x
b) 4x – 10
c) 20 – x
d) -x
e) x
5.
Mrs. Hoover was doing the Relay for Life and the total amount she raised was $300. If her pledge plan was A
= 10 + 2m and she had 10 sponsors, how many miles did she walk?
6.
Solve for x using the following equations:
a) 2(5x –3) + 10 = 7
b) (30 + 8x) – 4(3x + 10) = 30
2x)
7.
Solve the following inequalities and graph the solution:
a) 6x – 12 ≥ 24
b) x + 7 < -3
c) 5 ≤ 8x – 28
c) -2(10 – 5x) = -5(5 +
Chapter 11 – Multi-Step Equations & Inequalities (Part II)
1. Combine like terms:
22y 8y 2 + 13y 2 7y
2.
4y
3. Combine like terms:
3b + 5c 4b + 2.3a
13a + 4(1.35b
Combine like terms:
3r s + 5 + 5r + 11s + 7
s
2.5c)
4. Solve
y
+ 15 = 39.
8
5.
Solve
6. Solve
3
5
b+
b
4
12
7.
Solve
2
= 3.
3
6r
1
1
+ 3x = 1 .
4
4
x+4
5
1 4x
1
+
= .
3
5
2
8. Margie Anne spent a total of $6.00 for ingredients for a fruit salad. She bought 5 apples for
$0.50 each, 3 oranges for $0.40 each and 4 bananas for $0.35 each. How many more
pieces of fruit did Margie Anne buy if the average price was $0.40 per piece of fruit?
9. Solve 2(x
11. Solve
5) +
(d + 5)
6x
= 4x
5
4 = 2(d
2.
10.
Solve
7
2a 3a
1
+
=
+ .
8 12
4
3
6).
12. A telephone company offers two different types of billing. The first choice is to pay $10.00
per month plus $0.09 per minute for calls. The second choice is $16.00 per month plus
$0.07 per minute. How many minutes would you have to talk in order to make the higher
initial rate equal to the lower rate?
13. Solve
6x > 87.
14.
What inequality is shown on this graph?
15. Adrina has $7.00 in change. If she has 13 quarters, what is the maximum number of dimes
that she can have?
16. Solve
18. Solve 58 ≤ c
4x + 15 < 6x + 31.
43.
19. Solve 17 +
1
n≤
7
6.
Chapter 10 – Probability
1. In a sample space of 165 separate, equally likely events, what is the probability of each
event?
2. Using a single roll of a fair number cube, what is the probability of rolling a number equal to
3 or more?
3. Use the probability table below to determine the value of P(not C or D).
A
Outcome
Probability
B
C
D
0.32 0.12 0.24 0.32
4. A bag contains unknown quantities of green, yellow, blue, and red marbles. A marble is
randomly drawn from the bag and then replaced. The results of 315 experiments are
shown in the table below. What is the probability of choosing a yellow marble? Express
your answer as a decimal to the nearest hundredth.
Color
Draws
green yellow
50
45
blue
red
32
188
5.Jamie spun a spinner with four unequal sections. The results of 250 spins are shown below.
What is the probability of getting a 3 on the next spin?
Outcome
1
2
3
4
Number
of spins
75
50
75
50
6. Three fair coins are tossed. Find the probability: P(heads, tails, heads).
7. A box contains 278 red candies, 46 green candies, and 45 yellow candies. If you draw one
candy at random, what is the probability, to the nearest percent, that it is yellow?
8. You have a jar with 9 pennies, 10 nickels, 5 dimes, and 6 quarters. If two coins are chosen
at random, without replacement, what is the probability of choosing first a nickel and then a
dime?
9. If you toss a fair coin 8 times and land 8 heads in a row, what is the probability that the next
toss will land heads?
10. Lee has a bag that contains 8 red chips and 8 blue chips. What is the probability of
drawing two red chips in two draws if the first chip is not replaced into the bag?
11. A spinner has 12 equal divisions numbered 1 to 12. Predict the number of times that a
number divisible by 4 will occur in 150 spins.
12. Recently, a car dealer sold 120 white cars, 50 blue cars, 20 green cars, and 10 black cars.
Out of the next 100 cars sold, how many are likely to be either blue or green?
Ch. 9 – Statistics
3)
Determine whether each sample or question may be biased. Explain.
a. Ali works at a dairy. She chooses 50 containers of milk at random to check the quality of
the milk.
b.
4)
How much money do you think the federal government should spend on protecting our
planet’s irreplaceable and precious resources?
Determine whether the claim is valid. Explain.
The manager of a supermarket wants to know what customers think of the service at the
supermarket.
Sample: Survey cards are available at the cash
registers for customers who wish to fill them out. One
hundred customers respond.
Question: Do you consider the service at the
supermarket to be excellent, good, fair, or poor?
Claim: Half of the supermarket’s customers think the
service is poor.
5)
List the data values in the stem-and-leaf plot.
6)
Use a line plot to organize the data of the distances students travel to school.
7)
Use the given data to make a back-to-back stem-and-leaf plot.
10)
Find the mean, median, mode, and outliers of the set of numbers below.
58, 89, 55, 68, 94, 70, 94, 86, 32, 63, 58, 72
11)
Use the table at the right to answer the following questions.
a.
Which measure best describes the middle of the data?
b.
Which difference in altitude occurs most frequently?
c.
How spread out are the data? Why might this number
not be a good descriptor of the data?
16.
Make a double-bar graph of the given homework data.
17.
The annual hourly delay per driver in the 20 U.S. cities with the most traffic are as follows:
56, 42, 53, 46, 34, 37,42, 34, 53, 21, 45, 50, 34, 42, 41, 38, 42, 34, 38, 31.
Make a histogram with intervals of 5 hours.
18.
Refer to the double-line graph to answer
the following questions.
a. Estimate the value of U.S. agricultural exports
in 1998.
b. Estimate the difference between agricultural
exports and imports in 1995.
19.
Use the histogram to answer the following questions.
a. How many students sold 21 or more magazines?
b. In which bar will the median number of magazines
sold be located?
20.
The circle graph shows the favorite sport of students. There
were 1,500 students surveyed.
a. How many students did not choose basketball as a
favorite sport?
b. A report of the survey claimed that about 500 students
chose football as their favorite sport. Is this claim valid?
Explain.
21.
Use the double line graph to answer the following
questions.
a. In which week(s) was the height of Plant 1
and Plant 2 the same?
b. Plant 1 received a treatment of fertilization
during the 5-week period. Between which two
weeks would you predict the treatment was given?
Explain.
22.
Use the line plot to answer the following questions.
a. Which vehicle depreciated less than 50% from
its original value during the five years?
b. Which vehicle had the greatest depreciation?
24.
Explain why this histogram could be misleading.
ANSWERS:
Ch 1 & 2
1. 25
4.
2. H (5+r)–3
8h
3. 46 plus the quotient of 200 and a number
5. a) >
b) <
6. -46, -21, -12, 0, 9, 16
b) 10
8. 25 yds
8 • 15
120
7. a) 42
8 • 20
160
9. 1000
8 • 25
8 • 30
200
240
11. a) x = 15
b) g = 8
13. 1
14.
10. a) 250
-
5
15. a) 1/6
18. a) x = 7
Ch. 5
b) 27/2
b) x = -25
19a) 2/3, 4/6, 6/9
22) Y, 3/4 = 12/16
cm/year
25a) 1500 ft.
27a) Y
16. a) 150
34. yes, k =
c) 160
c) d = -16
12.
-
7
15
4
4
, - 0.23, 0.15, 0.2,
10
5
17. a) 16.11
b) m = 10.4
20a) Y
20b) N
21) 90 XL sweatshirts
23a) ≈ 47.41oz/$ or ≈ $.021/oz 23b) ≈ 1.3 slices/$ or ≈ $.75/slice
7
3
or 1 gallons
4
4
25b)
25c) 3.75 miles
28) 231 dolls
32. yes,
5
5
, y= x
2
2
d) -12
c) r = -6.1
19b) 2/9, 6/27
27b) N
31. no
b) 15
16
b) -5
k
36. No
1
2
26)
37. No
40. Straight line, includes points (0,0) and (1, unit rate).
7,920,000 body lengths
30. yes, k  0.04
29) 69 min. more
33. No
24) . 012̅
35. yes, k =
38. Yes
1
1
, y= x
5
5
39. No
41. a) Cost is y, # people is x
RTW: y = 80 + 10x
TAS : y = 15x
b)
c) RTW costs less if more than 16
people go. They cost the same for
16. For less than 16 TAS is cheaper.
d) TAS is proportionate:
Constant of proportionality is 15/1,
the unit cost per person
y –intercept 0
no fee/up front cost
Ch. 8 21) 25m2
22) 5,620 ft2
26) ≈ 34.6 in2 or 11π in2
23) 9 ft2
It is linear.
Ch. 12 49)
53)
32) 339.1π cm2 or 1064.6 cm2
31) 280 ft2
50)
29) 27,321.6̅ m2
28) 49.5π in3 or 155.43 in3
27) 21,362.4 cm3
30) 3010.9π cm3 or ≈ 9459 cm3
25) C=78.5 in, A=490.6 in2
24) 17 in., 34 in., & 22 in
y  2x  1
51) slope  
5
8
52) slope  2
1
𝑦 = − 𝑥+3
2
x
-4
-2
0
2
4
y
5
4
3
2
1
54)
55)
(ignore shading)
56)
4x + y = -1
x
-2
-1
0
1
2
y
7
3
-1
-5
-9
y–4=x
x
-2
-1
0
1
2
y
2
3
4
5
6
𝑦−2=
57)
4. –x
𝑥
-3
0
3
6
9
y
1
2
3
4
5
−2
3
𝑥−1
x
-6
-3
0
3
6
y
3
1
-1
-3
-5
1b. -11x + 10y + 23
5. 10 miles
3
x
𝑦=
Ch 11 – Part I
1a. 6x – 2y – 6
1
2a. 59
6a. x = 0.3
2b. -9
6b. x = -10
3. 2x + 15
6c. x = -0.25
7a. x ≥ 6
7b. x < -10
7c. x ≥ 4.125
Ch 11 – PART II
1. 5y 2 + 11y
5. x 
1
2
10. a 
13
14
2. 4r  9s  12
6. b  2
7.
11. d  21
x
1
30
12. 300 minutes
16. x  8
15. 37
3. 10.7a  1.6b  5c
18. c  101
4. y  432
8. 3 pieces
9. x  10
13. x  14.5
14.
19.
x  2
n  161
Ch 10
1.
7.
1
165
12%
2.
2
3
8.
3. 0.44
5
87
9.
4. 0.14
1
2
10.
5. 30% or 0.30
7
30
11.
37.5
6. 12.5% or 0.125
12.
35 cars
Ch 9 – Statistics
3a) not biased
3b) biased
4) not valid
6))
5) 20, 21, 25, 27, 32, 32, 39, 45, 46, 47, 49, 51, 53
7)
11a) media = 20,602 ft
10)
Mean= 69.9
Median= 69
Mode = 58 & 94
Outlier = 32
11b) none
11c) range = 22,985 ft not good due to outlier (Australia)
Daily Homework
US Cities
12
11
16) 10
9
8
7
6
5
4
3
2
1
17)
Girls
Boys
7
6
5
4
3
2
1
15
1
18a) 52-53
2
4
18b) 26
21a) Weeks 1 & 5
22a) sedan
3
20
25 30 35 40 45
Annual Hourly Delay
50
55
5
19a) 11
19b) 21-30
20 a) 1035
20b) yes (495 did)
21b) between 1 & 2 steepest line showing greater growth
22b) sports car
24) y scale starts at 15, not 0, making the difference between the bars appear to be greater than they really
are.