Grade 8 Practice (2022)

• 5

• 15

• 25

• 45

This problem is to be solved without the use of a calculator.

Which statement about non-zero real numbers is true?

• The sum of two rational numbers is not always rational.

• The product of two irrational numbers is always rational.

• The product of a rational number and an irrational number is always irrational.

• The sum of a rational number and an irrational number is sometimes irrational.

Tags

CCSS.HSN.RN.B.3

A city has approximately 1,000,000 residents. The city has approximately 1 library for every 5,000 residents. Which expression represents the approximate number of libraries in the city?

Tags

CCSS.8.EE.A.3

Tags

CCSS.8.EE.A.4

Eva and Rafael are each tutors. The graph below shows the amount (y), in dollars, Eva charges based on the number of hours she tutors. The equation y = 35x represents the amount (y), in dollars, Rafael charges when he tutors for x hours. His equation will be graphed on the same coordinate grid as Eva's graph. Based on this information, which statement is true?

• Eva charges $5 more per hour than Rafael, and she has a higher initial fee, so their graphs will never intersect.

• Eva and Rafael each charge the same amount per hour, but Rafael also charges an initial fee, so their graphs are parallel.

• Eva charges $5 more per hour than Rafael, and neither charges an initial fee, so the only place their graphs will intersect is at (0, 0).

• Eva and Rafael each charge the same amount per hour and do not charge an initial fee, so the only place their graphs will intersect is at (0, 0).

Tags

CCSS.8.EE.B.5

Tags

CCSS.8.EE.B.6

A system of two linear equations has no solution. Which statement about the two lines representing the system of equations is true?

• The two lines must have the same slope and the same y-intercept.

• The two lines must have different slopes but the same y-intercept.

• The two lines must have the same slope but different y-intercepts.

• The two lines must have different slopes and different y-intercepts.

Tags

CCSS.8.EE.C.8A

Tags

CCSS.8.EE.C.8B

Ms. Martin and Mrs. Tyler each have a car. They each park at a coin-operated parking meter.

Ms. Martin and Mrs. Tyler each insert the same number of coins into their meters. They are able to park their cars for the same amount of time before their meters expire. For what amount of time are Ms. Martin and Mrs. Tyler able to park their cars?

• 75 minutes

• 85 minutes

• 90 minutes

• 110 minutes

Tags

CCSS.8.EE.C.7B

Beth and Phil each have gift cards for a local coffee shop. Beth has $50 on her gift card, and Phil has $30 on his gift card. Every time they go to the coffee shop, each buys his or her favorite drink. The table and graph model the amount of money remaining on each person's gift card. What are the prices of Beth's favorite drink and Phil's favorite drink?

• Beth's favorite drink: $2.75

  Phil's favorite drink: $3.75

• Beth's favorite drink: $2.75

  Phil's favorite drink: $3.25

• Beth's favorite drink: $2.81

  Phil's favorite drink: $3.25

• Beth's favorite drink: $2.81

  Phil's favorite drink: $3.75