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Title: CRCT Review


1
CRCT Review
  • Ms. Jennifer Heins

2
Geometry
Algebra
1 2 3 4 5
6 7 8 9 10
11 12 13 14 15
1 2 3 4 5
6 7 8 9 10
11 12 13 14 15
Data Analysis
Number Sense
1 2 3 4 5
6 7 8 9 10
11 12 13 14 15
1 2 3 4 5
6 7 8 9 10
11 12 13 14 15
3
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.

4
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 B. 1 ½m
  • C. 1 2m D. 2m - 1

5
Algebra 3
  • Simplify
  • (12x 4) (8x 4)
  • A. 4x
  • B. 4x 8
  • C. 20x 8
  • D. 20x

6
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 B. 24
  • C. 27 D. 72

7
Algebra 5
  • If x -3, find 3x² - 5x
  • A. 12
  • B. -6
  • C. 42
  • D. 3

8
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 B. 5 ½
  • C. 6 D. 7

9
Algebra 7
  • Solve the equation for x
  • 5x 1.2 6.8
  • A. 1.6
  • B. 16
  • C. 1.12
  • D. 8

10
Algebra 8
  • Solve for x
  • 2(x 5) -14
  • A. x 2
  • B. x 7
  • C. x -2
  • D. x -12

11
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.
  • 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

Number of Cups of Hot Chocolate (c) Number of Scoops of Mix Needed (s)
2 4
4 8
6 12
8 16
12
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

13
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.

14
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
15
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?

16
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

17
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

18
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

19
Geometry 2
  • In this figure, ABCD is a transformation of
    ABCD.
  • What type of transformation is ABCD?
  • A. dilation
  • B. rotation
  • C. reflection
  • D. translation

20
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

21
Geometry 4
  • Max drew a triangle on the coordinate plane. He
    want to translate the triangle 3 units right and
    5 units down.
  • Which of the following represents the coordinates
    of the 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)

22
Geometry 5
  • Which must be true?

23
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

24
Geometry 7
  • If the circle below is rotated about the line
    through its diameter, what solid figure would be
    formed?
  • A. cylinder B. cone
  • C. sphere D. cube

25
Geometry 8
  • What figure does a horizontal cross section of
    the cylinder below create?
  • A. rectangle
  • B. circle
  • C. sphere
  • D. oval

26
Geometry 9
  • Mrs. Micelli placed a picture of an equilateral
    triangle on an overhead projector in her math
    class. The overhead projector dilated the
    triangles 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 B. 17.5 cm
  • C. 8.5 cm D. 3 cm

27
Geometry 10
28
Geometry 11
  • The graph shows that rectangle PQRS is a
    dilation of rectangle PQRS centered on the
    origin. What is the scale factor used to create
    rectangle PQRS?

29
Geometry 12
  • In the diagram below, line DE is the
    perpendicular bisector of line segment AB.
  • Which statement
  • is NOT true?
  • B. C is the midpoint of
  • line segment AB
  • C. AE EB
  • D. AE AC

30
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.

31
Geometry 14
  • FREE POINT!!!!

32
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

33
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.

34
Number Sense 2
  • What is the value of the expression below?
  • A. -10 B. -4
  • C. 4 D. 10

35
Number Sense 3
  • Use the number line to complete the sentence.
  • 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

36
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

37
Number Sense 5
  • Simplify.
  • A. 4
  • B. 14
  • C. 17
  • D. 26

38
Number Sense 6
  • Which of these sets of numbers is ordered from
    least to greatest?

39
Number Sense 7
  • 8 (-10)
  • A. 2
  • B. -2
  • C. 18
  • D. -18

40
Number Sense 8
41
Number Sense 9
  • One cold winter morning, the temperature was
    -3F. 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. 5F B. -5F
  • C. 11F D. -11F

42
Number Sense 10
  • Which expression has the greatest value?

43
Number Sense 11
44
Number Sense 12
45
Number Sense 13
46
Number Sense 14
  • -2 (-8)
  • A. -6
  • B. 6
  • C. -10
  • D. 10

47
Number Sense 15
  • Which integer makes this inequality true?
  • -19 lt ? lt -13
  • A. -20
  • B. -15
  • C. -10
  • D. 14

48
Data Analysis 1
  • Below is a list of the ages of your friends
    aunts and uncles.
  • 23, 33, 35, 27, 38, 25, 24, 19
  • What is the median age?
  • A. 25 B. 26
  • C. 27 D. 28

49
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-and-whisker plot the
    teachers made?
  • 31, 27, 12, 23, 45, 24, 48, 19, 34, 17, 29, 22,
    29, 24, 39

50
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

51
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.

52
Data Analysis 5
  • 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
  • Based on Info, Incs results, what fraction of
    the female population are bus riders?

Method Males Females
Bus 24 28
Car 18 30
Walk 10 16
Bicycle 8 6
53
Data Analysis 6
  • The graph shows the ages in months
  • of the boys and girls in Mrs. Duncans
  • 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

54
Data Analysis 7
  • Louisa collected data during her science
    experiment. What is the maximum value for this
    set of data?
  • A. 22 B. 28
  • C. 36 D. 40

55
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

56
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 B. Teams A B
  • C. Teams A C D. Teams B C

57
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

58
Data Analysis 11
  • Which scatterplot shows a negative correlation?

59
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

60
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

61
Data Analysis 14
  • About how many Smoothies would you expect to be
    sold on a day when the temperature is 90F?
  • A. 6
  • B. 12
  • C. 14
  • D. 18

62
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
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