ACT Math Test Prep

What is the formula for the area of a circle?

• A = πr^2, where r is the radius.

• A = 2πr, where r is the radius.

• A = πd^2, where d is the diameter.

• A = r^2, where r is the radius.

Tags

CCSS.7.G.B.4

What is the definition of a rational number?

• A number that can be expressed as the quotient of two integers.

• A number that cannot be expressed as a fraction.

• A number that is always an integer.

• A number that has an infinite number of decimal places.

Solve the system of equations: 2x + y = 5 and 3x - 2y = 8.

• x = 2, y = 1

• x = 18/7, y = -1/7

• x = 3, y = -1

• x = 1, y = 3

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the definition of an asymptote?

• A line that a graph approaches but never touches.

• A point where a graph intersects the x-axis.

• A curve that continuously increases without bound.

• A line that represents the maximum value of a function.

Tags

CCSS.HSF-IF.C.7D

What is the definition of a polynomial?

• An expression consisting of variables and coefficients, using only addition, subtraction, multiplication, and non-negative integer exponents.

• A mathematical statement that equates two expressions using an equal sign.

• A type of equation that includes variables raised to negative powers.

• A formula that represents the relationship between two or more variables.

What is the quadratic formula used to solve ax^2 + bx + c = 0?

• x = (-b ± √(b² - 4ac)) / (2a)

• x = (b ± √(b² + 4ac)) / (2a)

• x = (-b ± √(b² + 4ac)) / (2a)

• x = (b ± √(b² - 4ac)) / (2a)

Tags

CCSS.HSA-REI.B.4B

What is the formula for the volume of a cylinder?

• V = πr²h, where r is the radius and h is the height.

• V = 2πrh, where r is the radius and h is the height.

• V = πr² + h, where r is the radius and h is the height.

• V = 4/3πr³, where r is the radius.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the slope-intercept form of a linear equation?

• y = mx + b, where m is the slope and b is the y-intercept.

• y = ax^2 + bx + c, a quadratic equation.

• y = mx + c, where m is the slope and c is the y-intercept.

• y = b/x + m, an inverse relationship.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

What is the distance formula between two points (x1, y1) and (x2, y2)?

• d = √((x2 - x1)² + (y2 - y1)²)

• d = |x2 - x1| + |y2 - y1|

• d = (x2 - x1) + (y2 - y1)

• d = √((x2 + x1)² + (y2 + y1)²)

Tags

CCSS.HSG.GPE.B.7

What is the definition of a function?

• A relation where each input has exactly one output.

• A set of ordered pairs with no restrictions.

• A collection of inputs and outputs that can be changed at will.

• A mathematical operation that combines two numbers.

Tags

CCSS.8.F.A.1