Probability and Numerical Representation
Mr. T will draw table (question 11).
A store manager surveyed a random sample of customers to determine their favorite type of nut. The results of the survey are shown in the table.
Based on the results in the table, which statement about the favorite type of nuts of a randomly selected customer is true?
A. The customer is 1/4 as likely to prefer pecans as to prefer almonds.
B. The customer is 4 times as likely to prefer cashews as to prefer pistachios.
C. The customer is more likely to prefer cashews or pecans than to prefer almonds.
D. The customer is less likely to prefer pecans or pistachios than to prefer cashews.
A. The customer is 1/4 as likely to prefer pecans as to prefer almonds.
Which inequality is true when x = 4?
A. 3 – 2x < –5
B. 1 – 4x > –14
C. –5 – 3x < 10
D. –4 + 5x > 18
C. –5 – 3x < 10
Mr. Teran will draw an example (question 2).
Which measurement is closest to the area of the shaded portion of the figure in square feet?
A. 314 ft2
B. 78.5 ft2
C. 266 ft2
D. 30.5 ft2
D. 30.5 ft2
Mr T draw graph (question 14)
The bar graph shows the results of a survey of 50 seventh graders about their favorite ice cream topping.
Based on the graph, what percentage of seventh graders prefer sprinkles or chocolate chips as an ice cream topping?
A. 20%
B. 64%
C. 18%
D. 36%
D. 36%
A recycling bin contained 40 pounds of plastic in October and 50 pounds of plastic in November. By what percentage did the amount of plastic increase from October to November?
A. 10%
B. 25%
C. 20%
D. 80%
B. 25%
Mr T draw table question 20.
A child at a day care can choose one type of writing tool and one type of paper for an art project. The chart shows the types of writing tools and paper that are available.
Which list shows all the combinations of one type of writing tool and one type of paper that can be used for the art project?
A. Crayon, construction Crayon, newsprint
B. Crayon, newsprint Marker, newsprint Pencil, newsprint
C. Crayon, construction Crayon, newsprint Marker, construction Marker, newsprint
D. Crayon, construction Crayon, newsprint Marker, construction Marker, newsprint Pencil, construction Pencil, newsprint
D. Crayon, construction Crayon, newsprint Marker, construction Marker, newsprint Pencil, construction Pencil, newsprint
An animal rescue group recorded the number of adoptions that occurred each week for three weeks:
• There were x adoptions during the first week.
• There were 10 more adoptions during the second week than during the first week.
• There were twice as many adoptions during the third week as during the first week.
There were a total of at least 50 adoptions from the animal rescue group during the three weeks. Which inequality represents all possible values of x, the number of adoptions from the animal rescue group during the first week?
A. 4x + 10 ≤ 50
B. 4x + 10 ≥ 50
C. 3x + 10 ≤ 50
D. 3x + 10 ≥ 50
B. 4x + 10 ≥ 50
A triangle has angle measures of (x + 3)°, (5x – 8)°, and (2x + 1)°. What is the measure of the smallest angle of the triangle in degrees?
A. 47°
B. 26°
C. 107°
D. 23°
B. 26°
Mr T draw table question 16.
Mr. Russo prepared a monthly budget. The table shows the percentage of income that Mr. Russo budgets for each expense.
If Mr. Russo spends $450 on food, what is his total monthly budget?
A. $3,000
B. $6,750
C. $2,550
D. $4,500
A. $3,000
Mr t draw question 37.
What is the volume of the triangular prism in cubic inches?
A. 1,080 in.3
B. 2,025 in.3
C. 1,620 in.3
D. 3,240 in.3
C. 1,620 in.3
Mr T draw question 22
A six-sided number cube numbered 1 through 6 was tossed 150 times. The results are shown in the table.
What is the experimental probability that the next toss will result in an odd number?
A. 68/150
B. 75/150
C. 77/150
D. 73/150
C. 77/150
What is the solution to the equation 0.5x – 1.25 = 3.5?
x = 9.5
Mr. Teran will draw example (question 6)
What is the area of the composite figure in square centimeters?
A. 336 cm2
B. 360 cm2
C. 312 cm2
D. 344 cm2
A. 336 cm2
Mr T draw question 32.
The dot plots show the numbers of pets the students in each of two classes have.
Which statement is best supported by the information in the dot plots?
A. The range for Class K is greater than the range for Class M.
B. The mean for Class K is equal to the mean for Class M.
C. The median for Class K is less than the median for Class M.
D. The mode for Class K is equal to the mode for Class M.
C. The median for Class K is less than the median for Class M.
What is the solution set for the inequality
3 ≤ 8 – 1/4x?
A. x ≤ 20
B. x ≤ 5/4
C. x ≥ 20
D. x ≥ 5/4
A. x ≤ 20
Mr T draw question 25.
A summer camp hosts 500 campers. A random survey of 50 campers was conducted to determine which activity was their favorite. The table shows the number of campers who chose each activity.
Based on the survey results, which of these is the best prediction about the favorite activities of the 500 campers?
A. There are 22 more campers who prefer kayaking than prefer rock climbing.
B. There are 8 more campers who prefer swimming than prefer rock climbing.
C. There are 20 more campers who prefer hiking than prefer kayaking.
D. There are 40 more campers who prefer swimming than prefer hiking.
D. There are 40 more campers who prefer swimming than prefer hiking.
Mr. Teran write equation (question 13)
- 7.5
A pyramid has a square base with a side length of 7 centimeters. If the volume of the pyramid is 196 cubic centimeters, what is its height in centimeters?
A. 4 cm
B. 12 cm
C. 8 cm
D. 21 cm
B. 12 cm
Mr T draw q. 35.
An average family uses 300 gallons of water per day at home. The circle graph shows the percentages of some of the types of water use for an average family
How many gallons of water per day are used for shower or leak?
A. 96 gallons
B. 24 gallons
C. 60 gallons
D. 36 gallons
A. 96 gallons
The Garcia family bought 3 tickets to the zoo for $84. What is the unit price per ticket?
A. $87
B. $28
C. $81
D. $21
B. $28
Mr T draw answer choices for question 4.
A clothing store has these items on sale:
• 5 hats
• 10 jackets
• 15 pants
• 20 sweaters
A customer randomly selects one of the sale items.
Complete each statement. Select the correct answer for each box. Each answer may be used more than once. Not all answers will be used.
The probability that the customer will randomly select a sweater or a hat is _____.
The probability that the customer will randomly select a jacket is _______.
.50, .20
A snack mix recipe calls for 10 cups of cereal and 4 cups of pretzel sticks. What is the constant of proportionality that relates the number of cups of cereal, y, to the number of cups of pretzel sticks, x?
A. 0.4
B. 14
C. 2.5
D. 6
C. 2.5
The circumference of a circular disk is approximately 67.23 centimeters. The diameter of the disk is 21.4 centimeters. Which ratio best represents the value of π?
A. 21.4/67.23
B. 67.23/21.4
C. 10.7/67.23
D. 67.23/10.7
B. 67.23/21.4
Mr T draw q. 8.
Mr. Kumar conducted a random survey asking 80 students which elective class they prefer. The results are shown in the bar graph.
Which inference about the data is best supported by this information?
A. More eighth-grade students prefer art as an elective than prefer band or theater.
B. Fewer seventh-grade students prefer band or theater as an elective than prefer art.
C. Half as many seventh-grade students as eighth-grade students prefer theater as an elective.
D. Twice as many seventh-grade students as eighth-grade students prefer band as an elective.
D. Twice as many seventh-grade students as eighth-grade students prefer band as an elective.
Ms. Avery sold tomatoes at a local farmers’ market over a two-week period.
• She sold 4.8 pounds of tomatoes on each of 3 days during the first week.
• She sold 5.6 pounds of tomatoes on each of 4 days during the second week.
How many pounds of tomatoes did Ms. Avery sell during the two-week period?
A. 72.8 lb
B. 10.4 lb
C. 36.8 lb
D. 17.4 lb
C. 36.8 lb