Mathematical Reasoning

Solve the linear equation: 2x + 5 = 15

Tags

CCSS.7.EE.B.4A

Find the value of x in the equation: 3(x + 4) = 27

• 6

• 8

• 10

• 5

Tags

CCSS.7.EE.B.4A

Using the Pythagorean theorem, find the length of the hypotenuse in a right triangle with legs of length 3 and 4.

• 6

• 7

• 8

• 5

Tags

CCSS.8.G.B.7

A right triangle has a hypotenuse of length 10 and one leg of length 6. Find the length of the other leg using the Pythagorean theorem.

• 4

• 12

• 8

• 14

Tags

CCSS.8.G.B.7

What is the probability of rolling a 3 on a fair six-sided die?

• What is the probability of rolling a 3 on a fair six-sided die?

• What is the probability of rolling a 3 on a fair six-sided die?

• What is the probability of rolling a 3 on a fair six-sided die?

• 1/6

Tags

CCSS.7.SP.C.7A

If Kavya, Aarav, and Krish each flip a coin once, what is the probability that all three of them get heads?

• 1/8

• 1/4

• 3/8

• 1/2

Find the surface area of a rectangular prism with dimensions 5 cm, 8 cm, and 10 cm.

• 260 cm²

• 320 cm²

• 180 cm²

• 120 cm²

Tags

CCSS.7.G.B.6

Aisha, Mira, and Aarav are playing a game. They have a cylinder with a radius of 4 cm and a height of 10 cm. Can you help them find the surface area of the cylinder?

• 144π cm²

• 112π cm²

• 192π cm²

• 288π cm²

Find the volume of a cube with side length 6 cm.

• 36 cm^3

• 72 cm^3

• 108 cm^3

• 216 cm^3

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

Arjun, Sneha, and Eesha are building rectangular prisms with different dimensions. Arjun's prism has dimensions 4 cm, 5 cm, and 7 cm. Sneha's prism has dimensions 3 cm, 6 cm, and 8 cm. Eesha's prism has dimensions 2 cm, 4 cm, and 9 cm. Which prism has the largest volume?

• Arjun's prism

• Sneha's prism

• Eesha's prism

Tags

CCSS.7.G.B.6