PSAT Math Practice

What is the Pythagorean theorem?

• In a right triangle, @@a^2 + b^2 = c^2@@, where @@c@@ is the hypotenuse.

• The sum of the angles in a triangle is 180 degrees.

• The area of a circle is given by @@rac{1}{2} imes ext{base} imes ext{height}@@.

• In any triangle, the longest side is always opposite the largest angle.

What is the definition of a linear equation?

• A linear equation is an equation that makes a straight line when graphed, typically in the form @@y = mx + b@@.

• A linear equation is an equation that represents a curve on a graph.

• A linear equation is an equation that has no solutions.

• A linear equation is an equation that can only be solved using calculus.

What is the solution to the equation @@3x - 7 = 11@@?

• 5

• 6

• 7

• 8

What is the volume formula for a cylinder?

• Volume = @@rac{1}{3} imes ext{Base Area} imes ext{Height}@@

• Volume = @@rac{4}{3} imes ext{Base Area} imes ext{Height}@@

• Volume = @@ ext{Base Area} imes ext{Height}@@

• Volume = @@ ext{Area} imes h@@

What is the formula for the slope of a line given two points (x1, y1) and (x2, y2)?

• Slope (m) = @@\frac{y2 - y1}{x2 - x1}@@

• Slope (m) = @@\frac{y1 - y2}{x1 - x2}@@

• Slope (m) = @@\frac{y2 + y1}{x2 + x1}@@

• Slope (m) = @@\frac{y2 - y1}{x1 - x2}@@

What is the formula for the area of a triangle?

• Area = @@rac{1}{2} imes base imes height@@

• Area = base imes height

• Area = @@rac{1}{3} imes base imes height@@

• Area = base + height

What is the definition of a function in mathematics?

• A function is a relation that assigns exactly one output for each input.

• A function is a set of ordered pairs with no restrictions.

• A function is a mathematical operation that combines two numbers.

• A function is a graph that represents a linear equation.

How do you calculate the interquartile range (IQR) of a data set?

• IQR = Q2 - Q1

• IQR = Q3 + Q1

• IQR = Q3 - Q1

• IQR = Q3 / Q1

What is the solution to the system of equations @@2x + 3y = 6@@ and @@4x - y = 5@@?

• (2, 0)

• (1, 1)

• (0, 2)

• (3, -1)

What is the definition of a variable in algebra?

• A variable is a symbol used to represent an unknown value.

• A variable is a fixed number that does not change.

• A variable is a type of equation used in algebra.

• A variable is a constant that represents a specific value.