ACT Math Prep

Front

If xy = 144 and x + y = 30, what is the value of x – y?

Back

18

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

In a construction where points D and G are equidistant from E, what can be said about the angles ∠DEF and ∠GEF?

Back

They are equal.

Tags

CCSS.HSG.CO.C.9

Front

What is the greatest common factor of 42, 126, and 210?

Back

42

Front

A boat travels 9 miles east and 12 miles north. How far is the oil rig from the departure point?

Back

15 miles.

Tags

CCSS.8.G.B.8

Front

What is the formula for the volume of a right circular cone?

Back

V = (1/3)πr²h.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you find the radius of a cone if you know its volume and height?

Back

Use the formula r = √(3V/(πh)).

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the Pythagorean theorem?

Back

In a right triangle, a² + b² = c², where c is the hypotenuse.

Tags

CCSS.8.G.B.8

Front

What is the definition of a factor?

Back

A factor is a number that divides another number without leaving a remainder.

Tags

CCSS.4.OA.B.4

Front

What is the definition of a common factor?

Back

A common factor is a number that divides two or more numbers.

Front

What is the definition of a right circular cone?

Back

A three-dimensional shape with a circular base and a single vertex.

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1