Benchmark Review Part 1

Ratios and Proportional Relationships

Expressions and Equations

Geometry

Statistics and Probability

Random

100

John paid $80 for 5 tickets at an amusement park. Each of the tickets cost the same price.

Which equation represents the cost, C, for n tickets?

A. C=0.625n

B. C=5n

C. C=16n

D. C=80n

C. C=16n

100

What is the value of 1/3(x-20) if x = 50

x=10

100

What is the complement of 28 degrees?

62 degrees

100

Leonard asked a random selection of 84 students in his school to name their favorite fruit. 16 chose strawberries, 26 chose oranges, 24 chose watermelons, and 18 chose apples. If there were 420 total students in Leonard's school, how many students would likely choose watermelon as their favorite based on Leonard's survey results?

A. 90 students

B. 130 students

C. 120 students

D. 80 students

C. 120 students

100

What two numbers could be used to express the probability of an event occurring?

A. 1/4

B. - 4/5

C. 4/5

D. 5/4

E. 1 1/4

A and C

200

At a local clothing store, the price of an $80 winter coat was reduced by 25% when spring arrived. Once it was summer time, the price was decreased by another 25%.

What is the sale price of the winter coat after the second discount?

A. $30

B. $40

C. $45

D. $60

C. $45

200

Which equation correctly describes the linear relationship shown by the table?

A. y=4x

B. y=8x

C. y=0.08x

D. y=0.32x

C. y=0.08x

200

Angles DEF and EFG are complementary angles. The measure of angle DEF can be represented by the expression (3x+15) degrees, and the measure of angle EFG can be represented by the expression (8x-2) degrees.

What is the measure, in degrees, of angle EFG?

A. 25 degrees

B. 36 degrees

C. 45 degrees

D. 54 degrees

200

Balance Beam: 1 and 3

Floor: 2 and 4

Vault: 1 and 2

200

A six-sided die numbered 1 to 6 is rolled twice.

What is the probability that the first roll lands on an even number and the second roll lands on a number greater than 2?

1/3

300

Thelma is a real estate agent negotiating the sale of a property with a listed price of $180,000. The buyer and seller of the property have agreed to a sale price that is 15% lower than the listed price.

If Thelma earns a 6% commission based on the negotiated sale price, how much will she earn for this sale?

A. $1,620

B. $4,500

C. $9,180

D. $12,420

C. $9,180

300

Jackson earns $250 per week working at a restaurant. He also earns $6 for each table he serves. This week, he wants to earn more than $400.

If t is the number of tables Jackson serves, which inequality represents this situation and what quantities are true for t?

A. 250t + 6 < 400, where t < 15

B. 250t + 6 > 400, where t> 15

C. 6t + 250 < 400, where t< 25

D. 6t + 250 > 400, where t> 25

D. 6t + 250 > 400, where t>25

300

What is the measurement of angle XYW?

23 degrees

300

Desirae has a bag with 8 colored marbles. There are 3 blue marbles, 2 green marbles, 2 yellow marbles, and 1 purple marble. Desirae picks a marble out of the bag without looking, records its color, and puts the marble back into the bag.

If she repeats this process 120 times, how many times should Desirae expect to pull out a blue marble?

45 times

300

Clark has a bag that contains 20 colored tokens. There are 11 red tokens, 5 yellow tokens, and 4 green tokens.

If Clark picks a token out of the bag without looking, what is the chance it will contain a green token?

A. Certain

B. Impossible

C. Likely

D. Unlikely

400

Five friends ate lunch together. They each paid the same amount.

If the total cost of all five meals was $51.94 which included a 6% sales tax, what was the cost of one meal before tax was added?

$9.76 or $9.80

400

b-3(2a-4b)-6a+5

Select the two expressions that are equivalent to the expression above.

A. b-6a+12b-6a+5

B. b-6a-12b-6a+5

C. -11b-12a+5

D. 11b-12a+5

E. 13b-12a+5

A and E

400

Using 3.14 for pi, which two statements below are true for a circle with a diameter of 6 inches?

A. The circumference is about 9.42 inches.

B. The circumference is about 18.84 inches.

C. The circumference is about 28.26 inches.

D. The area is about 28.26 square inches.

E. The area is about 113.10 square inches.

B and D

400

In a US History class, each student is to write a report on one of the 44 United States presidents. Students will select the president they are assigned by "blindly" drawing a president's name from a bag. The bag contains all 44 presidents, and a president's name will not be replaced in the bag once it has been drawn.

What is the probability that the first president drawn is Abraham Lincoln and the second president drawn is Richard Nixon?

1/1892

400

Which statement is best supported by the box-and-whisker plots?

A. The range of the 7th grade scores is greater than the range of the 6th grade scores.

B. The median of the 6th grade scores is greater than the median of the 7th grade scores.

C. The mean of the 7th grade scores is less than the mean of the 6th grade scores.

D. The number of 6th graders who took the test is greater than the number of 7th graders who took the test.

C. The mean of the 7th grade scores is less than the mean of the 6th grade scores.

500

Matthew is paid $8.50 for each acre he mows on his grandparent's estate. He mows 50% of an acre in 3/5 of an hour.

At this rate, how much will Matthew be paid for two hours of mowing? Round to the nearest cent.

$14.17

500

James earns $12 per hour for working at an appliance store. He also earns a weekly bonus of $36 if he makes a total of 7 or more sales during a given week.

Last week, James made 7 sales and earned a total of $300 for x hours of working at the appliance store.

Based on this situation, how many hours did James work?

A. 8 hours

B. 22 hours

C. 25 hours

D. 28 hours

B. 22 hours

500

If the octagonal pyramid shown above is cut by a plane that is parallel to the base of the pyramid,

what is the shape of the intersection of the plane and the pyramid?

A. Heptagon

B. Pentagon

C. Rectangle

D. Octagon

500

Sarah rolled a fair number cube 20 times. The results are shown in the table.

Based on the data, what is the probability of rolling a 3 or a 5?

1/5

500

The editor of the school yearbook wants to estimate the number of students who will purchase a yearbook. Which sample is most likely to be representative of the student population?

A. The first ten students who enter the school building.

B. Twenty-five eighth-grade students selected at random.

C. All the students who participate in the journalism club.

D. Every third student on an alphabetized list of all of the school's students.