8th Grade 3rd Round

At a particular restaurant, each pizza roll has 65 calories and each chicken wing has 50 calories. A combination meal with pizza rolls and chicken wings is shown to have 1015 total calories and 5 more pizza rolls than chicken wings. Determine the number of pizza rolls in the combination meal and the number of chicken wings in the combination meal.

• There are 10 pizza rolls and 15 chicken wings in the combination meal.

• There are 11 pizza rolls and 6 chicken wings in the combination meal.

• There are 12 pizza rolls and 7 chicken wings in the combination meal.

• There are 10 pizza rolls and 5 chicken wings in the combination meal.

Tags

CCSS.8.EE.C.8C

Tags

CCSS.6.EE.A.3

Sophia buys 13 bottles of cranberry juice at the corner store for a total cost of $7.02. If each bottle costs the same amount, how much is 24 bottles of juice?

• $13.50

• $14.04

• $12.96

• $10.54

Tags

CCSS.6.NS.B.3

Solve for x.

• no solutions

• x = 0

• x = 5

• x = -5

Tags

CCSS.HSA.REI.A.2

Two friends, Aaliyah and Leah, work summer jobs. The equation y=15.7x represents Aaliyah's earnings in dollars and cents, y, for working x hours. The table represents Leah's earnings in dollars and cents, y, for working x hours. Which of the following statements is true?

• Aaliyah earns $6.20 per hour less than Leah.

• Leah earns $21.90 per hour more than Aaliyah.

• Aaliyah earns $6.20 per hour more than Leah.

• Leah earns $21.90 per hour less than Aaliyah.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

If you place a 36-foot ladder against the top of a building and the bottom of the ladder is 32 feet from the bottom of the building, how tall is the building? Round to the nearest tenth of a foot if necessary.

• 68 ft

• 16.5 ft

• 30 ft.

• 272 ft

Tags

CCSS.8.G.B.8

If 4x + y = 7 is a true equation, what would be the value of −5(4x+y) ?

• 35

• -12

• -20x+5y

• -35

A rental car company charges $43 per day to rent a car and $0.10 for every mile driven. Alyssa wants to rent a car, knowing that:

She plans to drive 275 miles.

She has at most $100 to spend.

Which inequality can be used to determine d, the maximum number of days Alyssa can afford to rent for while staying within her budget?

• 100 ≥ 27.5+43d

• 100 ≥ 43(27.5+d)

• 100 ≤ 27.5+43d

• 100 ≤ 43(27.5+d)

Tags

CCSS.7.EE.B.4B

The length and width of a rectangle are consecutive even integers. The perimeter of the rectangle is 100 centimeters. Find the length of the rectangle.

• 26 cm

• 10 cm

• 21 cm

• 28 cm.

• 30.1 in.

• 32.9 in.

• 36 in.

• 37 in.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3