Transcript CRCT Review

CRCT Review
Ms. Jennifer Heins
Geometry
Algebra
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Data Analysis
Number Sense
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Algebra #1
• Which of the following statements describes a
correct method for solving the equation below?
20 + 2w = 50
A. Add 20 to both sides of the equation and then divide
both sides by 2
B. Subtract 20 from both sides of the equation, and
then divide both sides by 2
C. Divide both sides of the equation by 2, and then
add 20 to both sides.
D. Divide both sides of the equation by 2, and
then subtract -20 from both sides.
Algebra #2
• Ashley studied one hour less than twice as
many hours as Melissa studied. Let m
stand for the number of hours Melissa
studied. Which of the following
expressions represents the number of
hours Ashley studied?
A. ½m – 1
C. 1 – 2m
B. 1 – ½m
D. 2m - 1
Algebra #3
• Simplify:
(12x – 4) – (8x + 4)
A. 4x
B. 4x – 8
C. 20x – 8
D. 20x
Algebra #4
• The cost per person to rent an event
space varies indirectly with the number of
people who participate. If the cost per
person is $72 when 3 people participate,
what is the cost per person if 8 people
participate?
A. $9
C. $27
B. $24
D. $72
Algebra #5
• If x = -3, find 3x² - 5x
A. 12
B. -6
C. 42
D. 3
Algebra #6
• Today, Emily has driven 180 miles in 4
hours. Tomorrow, she wants to drive 275
miles. Approximately how many hours
should Emily plan to drive tomorrow if she
drives at the same rate?
A. 2
C. 6
B. 5 ½
D. 7
Algebra #7
• Solve the equation for x:
5x – 1.2 = 6.8
A. 1.6
B. 16
C. 1.12
D. 8
Algebra #8
• Solve for x:
2(x + 5) = -14
A. x = 2
B. x = 7
C. x = -2
D. x = -12
Algebra #9
• The table shows how many
scoops of hot chocolate mix are
needed in order to make different
numbers of cups of hot
chocolate.
Number of
Cups of Hot
Chocolate (c)
Number of
Scoops of Mix
Needed
(s)
2
4
4
8
6
12
8
16
• For the data in the table,
which of the following
equations can be used to
calculate s, the number of
scoops of hot chocolate
mix needed to make c
cups of hot chocolate?
A. s = 2 + c
B. s = 2c
C. s = c/2
D. s = 2/c
Algebra #10
• The cost of renting a boat is $10. There is
also a charge of $2 for each person. Which
expression represents the total cost for
renting the boat for p persons?
A. 10 + 2p
B. 10 – 2p
C. 2 + 10p
D. 2 – 10p
Algebra #11
• Aaron has 5 fewer than 3 times the number of
baseball cards that Sam has. Aaron has 31
baseball cards. The equation below represents the
situation.
3x – 5 = 31
What does x represent in this equation?
A. the number of cards Sam has
B. the number of cards Aaron has
C. how many more cards Aaron has than Sam
D. how many cards Sam and Aaron
have together.
Algebra #12
• Look at the function
table.
• What happens to y
when x increases by
2?
A. y decreases by 3
B. y decreases by 6
C. y increases by 3
D. y increases by 6
X
Y
-1
-8
0
-5
1
-2
2
1
Algebra #13
• The number of hours, h, it takes to wash c
cars at a school fundraiser is inversely
proportional to the number of students, s,
who come to help at the car wash. Which
expression represents this relationship?
A. h = c × s
B. h = c × s
s
C. h =
c
c
D. h =
s
2
Algebra #14
• Which statement about the graph is true?
A. y stays the same as x
decreases.
B. y decreases as x
decreases
C. y increases as x increases
D. y decreases as x increases
Algebra #15
• The distance a spring is stretched directly
varies with the amount of force applied. A
force of 15 pounds stretches a spring 7
inches. How many pounds of force are
needed to stretch the spring 21 inches?
A. 5 pounds
B. 30 pounds
C. 45 pounds
D. 60 pounds
Geometry #1
• Kurt made this
construction with a
compass and a straight
edge.
• Which construction did
Kurt make?
A. copying a line segment
B. bisecting a line segment
C. drawing a line parallel to
a given line through a
point not on the line
D. drawing a line
perpendicular to a given
line through a point not
on the line
Geometry #2
• In this figure, A’B’C’D’
is a transformation of
ABCD.
• What type of
transformation is
A’B’C’D’?
A. dilation
B. rotation
C. reflection
D. translation
Geometry #3
• If the cylinder is sliced in half vertically as
shown by the dotted line what shape is the
cross section that is formed?
A. circle
B. cone
C. rectangle
D. sphere
• Max drew a triangle on
Geometry
#4
the coordinate plane.
He want to translate the • Which of the following
represents the
triangle 3 units right and
coordinates of the
5 units down.
triangle after the
translation?
A. (1,0), (4, -4), (0, -4)
B. (1, 10), (4, 6), (0, 6)
C. (-5, 0), (-2, -4), (-6, -4)
D. (-2, 5), (1, 1), (-3, 1)
MOE is similar to SAW.
Geometry #5
Which must be true?
MO
OE
A.
=
SA
SW
MO
ME
B.
=
SA
AW
C. MEO  SWA
D. MEO  ASW
Geometry #6
• To construct a line segment which is
congruent to a segment that is given, you
need to use
A. a compass and straightedge
B. a protractor and straightedge
C. a compass and a protractor
D. tracing paper
Geometry #7
• If the circle below is rotated about the line
through its diameter, what solid figure
would be formed?
A. cylinder
C. sphere
B. cone
D. cube
Geometry #8
• What figure does a horizontal cross
section of the cylinder below create?
A. rectangle
B. circle
C. sphere
D. oval
Geometry #9
• Mrs. Micelli placed a picture of an equilateral
triangle on an overhead projector in her math
class. The overhead projector dilated the
triangle’s image on the screen by a scale
factor of 3.5. If the length of each side of the
actual triangle is 5 cm, what is the length of
each side of the dilated triangle on the screen?
A. 175 cm
C. 8.5 cm
B. 17.5 cm
D. 3 cm
Geometry #10
FGH was dilated to form JKL. Which number best
represents the scale factor used to change FGH into JKL?
1
A.
3
2
B.
3
3
C.
2
D. 3
Geometry #11
The graph shows that rectangle P’Q’R’S’ is
a dilation of rectangle PQRS centered on
the origin. What is the scale factor used to
create rectangle P’Q’R’S’?
A.
B.
C.
D.
2
5
3
5
5
3
5
2
Geometry #12
• In the diagram below, line DE is the
perpendicular bisector of line segment AB.
• Which statement
is NOT true?
A. ACE is a right angle.
B. C is the midpoint of
line segment AB
C. AE = EB
D. AE = AC
Geometry #13
• John wants to construct line segment PQ,
a copy of line segment RS. What should
he do first?
A. Draw a point P above line segment RS.
B. Draw a line through point R.
C. Draw a line through point S.
D. Draw a ray.
Geometry #14
• FREE POINT!!!!
Geometry #15
• What is being constructed in the diagram?
A. a line through point Q
perpendicular to line segment RS.
B. a line through point Q parallel
to line segment RS
C. a line through point R parallel
to line segment QR
D. A line through point S
perpendicular to line segment QR
Number Sense #1
Mrs. Blackwell has been on a diet for the last six weeks and
goes to a support group every Monday night to weigh in &
make plans for the next week. The changes in her weight for
each of the six weeks are listed below, with negative numbers
denoting a loss in weight and positive numbers denoting a gain
in weight from the previous week. Place the data in order from
the smallest number to the largest number.
A. -3
1
2
3
lb, -3 lb, 3 lb, -3.23 lb, -3.52 lb, 3.71 lb
2
3
4
1
2
3
B. -3.23 lb, -3.52 lb, 3.71 lb, -3 lb, -3 lb, 3 lb,
2
3
4
C. -3
2
1
3
lb, -3.23 lb, -3 lb, -3.52 lb, 3.71 lb, 3 lb,
3
2
4
2
1
3
D. -3 lb, -3.52 lb, -3 lb, -3.23 lb, 3.71 lb, 3 lb,
3
2
4
Number Sense #2
• What is the value of the expression
below?
7 + -3
A. -10
C. 4
B. -4
D. 10
Number Sense #3
• Use the number line to complete the sentence.
y
The value of
will be ________.
z
A. negative because both y and z are negative
B. positive because both y and z are negative
C. negative because z is farther from 0 than y
D. positive because y is closer to 0 than z
Number Sense #4
A dolphin is 30 ft below the surface of the
water. She rises 23 feet, sinks 17 ft, and
finally rises another 27 ft. If there are no
other changes, the dolphin is _______.
A. 3 ft above the surface of the water
B. 3 ft below the surface of the water
C. 63 ft above the surface of the water
D. 63 ft below the surface of the water
Number Sense #5
• Simplify.
3 + 4  18  9
2
A. 4
B. 14
C. 17
D. 26
Number Sense #6
• Which of these sets of numbers is ordered from
least to greatest?
1 1
A. , - , 0.4, -0.5, 3
4 3
1
1
B. 0.4, - , 3, -0.5,
3
4
1 1
C. -0.5, - , , 0.4, 3
3 4
1
1
D. -0.5, - , 0.4, , 3
3
4
Number Sense #7
8 – (-10)
A. 2
B. -2
C. 18
D. -18
Number Sense #8
8
2
- × =
9
3
16
A. 27
16
B.
27
1
C. -1
3
1
D. 1
3
Number Sense #9
• One cold winter morning, the temperature
was -3°F. Jacob was not able to start his
car until the temperature had risen 8
degrees. What was the temperature when
he finally started his car?
A. 5°F
C. 11°F
B. -5°F
D. -11°F
Number Sense #10
• Which expression has the greatest value?
A. - 6
B. -19
C. 15
D. - -28
Number Sense #11
11
5
+ (-1 )
16
8
15
A. 16
15
B.
16
5
C. -2
16
15
D. 2
16
Number Sense #12
3
A stock started the day at a price of 18 .
8
7
During the day the price fell by 2 . What
16
was the closing price of the stock?
15
A. 15
16
1
B. 16
2
5
C. 16
6
13
D. 20
16
Number Sense #13
4  5
÷ - 
9  6
7
A.
18
7
B. 18
8
C.
15
8
D. 15
Number Sense #14
-2 – (-8)
A. -6
B. 6
C. -10
D. 10
Number Sense #15
• Which integer makes this inequality true?
-19 < ? < -13
A. -20
B. -15
C. -10
D. 14
Data Analysis #1
• Below is a list of the ages of your friend’s
aunts and uncles.
23, 33, 35, 27, 38, 25, 24, 19
What is the median age?
A. 25
C. 27
B. 26
D. 28
Data Analysis #2
• At lunch, the Grade 7 teacher were talking about the high
price of gasoline. They compared the gas mileage of their
vehicles by making the data set below, and graphing it as a
box-and-whisker plot. Which graph shows the box-andwhisker plot the teachers made?
31, 27, 12, 23, 45, 24, 48, 19, 34, 17, 29, 22, 29, 24, 39
Data Analysis #3
• Which measure has the greatest value for
the data listed?
18 24 18 23 19 24 23 18
A. mode
B. mean
C. range
D. median
•
Data Analysis #4
A Republican politician running for mayor wants to take a poll to determine if
he is the favored candidate in the upcoming election. The mayoral candidate is
scheduled to give a speech not at all related to the election at an upcoming
town celebration. For convenience sake, his staff polls all of the people in
attendance at the speech asking who they are planning to vote for in the
upcoming mayoral election. The staff reports to the candidate that, based on
the recent poll, he is favored by voters. Are the results of this poll most likely
accurate or are they most likely misleading?
• A. The results of the survey are accurate as long as at least 100 people
were polled
• B. The results of the poll are most likely misleading because the
sample of people surveyed were voluntarily attending a speech given
by the candidate and do not necessarily represent the population of the
town.
• C. The results of the poll are most likely accurate because people are
generally honest in declaring who they are going to vote for in
elections.
• D. The results of the poll are misleading because recent
advertisements are encouraging people to vote, creating a more
opinionated population than usual.
• Info, Inc. conducted a
survey to determine
transportation methods.
Results from the sample
surveyed of the
population are shown in
the table below.
Transportation Methods
Method
Males
Females
Bus
24
28
Car
18
30
Walk
10
16
Bicycle
8
6
Data Analysis #5
Based on Info, Inc’s
results, what fraction
of the female
population are bus
riders?
7
A.
13
2
B.
5
7
C.
20
1
D.
5
Data Analysis #6
The graph shows the ages in months
of the boys and girls in Mrs. Duncan’s
nursery class.
• Which conclusion can be
justified by the data shown
in the bar graph?
A. There are more girls than
boys who are 26 to 27 months old in the class
B. The students in the class are at least 2 years old
C. Most students in the class are older than 30 months
D. There are more girls than boys in the class
Data Analysis #7
• Louisa collected data during her science
experiment. What is the maximum value
for this set of data?
A. 22
C. 36
B. 28
D. 40
Data Analysis #8
• What does the middle line in the box of a
box-and-whisker plot represent?
A. minimum value
B. lower quartile
C. upper quartile
D. median
Data Analysis #9
• This box-and-whisker plot represents the basketball scores
of three high school teams during a season. Which teams
have the same range?
A. Teams A, B, & C
C. Teams A & C
B. Teams A & B
D. Teams B & C
Data Analysis #10
• What is the interquartile range of the data?
18.5, 22, 16, 25.5, 28
A. 6
B. 7
C. 9.5
D. 12
Data Analysis #11
• Which scatterplot shows a negative
correlation?
Data Analysis #12
Which statement is true
about the scatter plot?
A. There is a positive
correlation
B. There is a negative
correlation
C. There is no correlation
D. There are many
correlations
Data Analysis #13
• Which conclusion is true
about the data in the
scatter plot?
A. There is no relationship
between the variables
B. As the temperature gets
warmer, the sales of
smoothies increase
C. As the temperature gets
cooler, the sales of
Smoothies increase
D. The more Smoothies
sold, the cooler the
temperature
Data Analysis #14
• About how many
Smoothies would you
expect to be sold on a
day when the
temperature is 90°F?
A. 6
B. 12
C. 14
D. 18
Data Analysis #15
• Frank decided to use the mode of 5 as the best
way to describe this data set:
5, 32, 5, 27, 41, 5, 26, 38, 27, 32
Which statement is true?
A. Frank was correct to use the mode.
B. The mean of 23.8 is the best measure of the
data
C. The range of 36 is the best measure of the data
D. Either the mean of 23.8 or the median of 27
would be better to describe the data than the
mode