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CRCT Review

- Ms. Jennifer Heins

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

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 B. 1 ½m
- C. 1 2m 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 B. 24
- C. 27 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 B. 5 ½
- C. 6 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.

- 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

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?

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, ABCD is a transformation of

ABCD.

- What type of transformation is ABCD?
- 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

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)

Geometry 5

- Which must be true?

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 B. cone
- C. sphere 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

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

Geometry 10

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?

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

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.

Number Sense 2

- What is the value of the expression below?
- A. -10 B. -4
- C. 4 D. 10

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

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.
- A. 4
- B. 14
- C. 17
- D. 26

Number Sense 6

- Which of these sets of numbers is ordered from

least to greatest?

Number Sense 7

- 8 (-10)
- A. 2
- B. -2
- C. 18
- D. -18

Number Sense 8

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

Number Sense 10

- Which expression has the greatest value?

Number Sense 11

Number Sense 12

Number Sense 13

Number Sense 14

- -2 (-8)
- A. -6
- B. 6
- C. -10
- D. 10

Number Sense 15

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

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

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

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.

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

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

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

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 B. Teams A B
- C. Teams A C 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 90F? - 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