7th Grade Math EOY Review

A group of friends traveled at a constant rate. They traveled 2/5 of a mile in 1/4 of an hour. Which of the following statements are true about this unit rate? Select all that apply.

• Divide 2/5 by 1/4 to find the unit rate per hour.

• The average speed will be less than 1 mile per hour because the group travels less than a fourth of a mile in 1/4 of an hour.

• The group traveled at an average speed of 1/3/5 miles per hour.

• The average speed will be greater than 1 mile per hour because the group travels more than a fourth of a mile in 1/4 of an hour.

• The group traveled at an average speed of 2/1/ 4 of a miles per hour.

Robert’s class built three solar-powered racecar, A, B, and C. The class raced each car in the parking lot of the school. The line segments shown on the graph below display the distance d, in meters, that each racecar traveled after t seconds.

Which of the following statements about the graph are true? Select all that apply.

• The point (1, 5) tells that racecar A traveled 1 meter in 5 seconds.

• The point (6, 9) tells that racecar B traveled 9 meters in 6 seconds.

• The point (5, 2) tells that racecar C traveled 5 meters in 2 seconds.

• The relationship between the time and distance is a proportional relationship.

• The relationship between the time and distance is not a proportional relationship.

The distance a train travels, d, is proportional to a constant rate of speed, r, at different times, t. Which equation shows the relationship between the speed of the train and the distance traveled?

• r = dt

• r = d + t

• r = d – t

• r = d/t

Tami multiplies two fractions. The first fraction is greater than -1 but less than 0. The second fraction is greater than 0 but less than 1.

Which statement describes the product of the two fractions Tami multiplied?

• The product is less than -1.

• The product is greater than 1.

• The product is greater than 0 and less than 1.

• The product is greater than -1 and less than 0.

Which expression below is equivalent to the expression 18a + 12b + 9a + 24b?

• 63ab

• 30ab + 33ab

• 27a + 36b

• 21a + 42b

On Mondays, a coffee shop offers its customers a 25% discount on all coffee purchases. The coffee shop usually charges c dollars for a flavored coffee. The expression below can be used to determine the cost of a flavored coffee on Mondays.

𝑐 − 0.25𝑐

Which expression could also be used to determine the cost of a flavored coffee on Mondays?

• 0.25c

• 0.75c

• 1.25c

• 1.75c

An amusement park ticket normally sells for $32.50. An employee receives 20% off the price of a ticket.

Which statement correctly describes how to find the employee’s discounted ticket price?

• Convert 20% to a decimal value, and then multiply the normal ticket price by the decimal value calculated.

• Subtract 20% from 100%, convert the difference to a decimal value, and then multiply the normal ticket price by the decimal value calculated.

• Add 20% to 100%, convert the sum to a decimal value, and then multiply the normal ticket price by a decimal value.

• Convert 20% to a decimal value, and then subtract the decimal value from the normal ticket price.

Abram rode in a cab for 8/3/4miles. The taxi driver charged $2.50 for the first 1/2 mile and $1.25 for each additional 1/2 mile. Select all the statements that correctly describe a step that can be used to find how much Abraham paid for his cab ride.

• Add 8/3/4 and $2.50.

• Add 2.50 and 1/2.

• Subtract 2.50 from 8/3/4.

• Subtract 1/2 from8/3/4.

• Divide 8/3/4 by 1/2.

Diane is treating her father to dinner at a restaurant. The bill for the dinner before tax is $58.20, and the sales tax rate is 5%. Diane also gives the waitress a 15% tip, based on the pre-tax amount.

Part A

What is the amount of the tip that Diane gives the waitress?

Part B

What is the total cost of the dinner including tax and tip?

• Part A $7.29 Part B $75.88

• Part A $8.73 Part B $69.84

• Part A $9.39 Part B $85.37

• Part A $10.215Part B $92.37

Sarah is buying a necklace which is listed online as costing p dollars. When she goes to check out, she discovers the necklace is on sale for 15% off the listed price. Which expression below will help Sarah calculate the cost of the necklace with the discount?

• 1.85p

• 1.15p

• 0.85p

• 0.15p