Math ACT Practice

Front

What is the Pythagorean Theorem?

Back

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). Formula: c² = a² + b².

Tags

CCSS.8.G.B.8

Front

Define a linear equation.

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.HSF.LE.A.2

CCSS.8.F.B.4

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run (change in y over change in x). It is often represented by the letter m.

Tags

CCSS.8.EE.B.5

Front

Explain the concept of a function.

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output. It can be represented as f(x).

Tags

CCSS.8.F.A.1

Front

What is the difference between mean, median, and mode?

Back

Mean is the average of a set of numbers, median is the middle value when the numbers are arranged in order, and mode is the number that appears most frequently.

Tags

CCSS.6.SP.B.5C

Front

How do you solve a quadratic equation?

Back

A quadratic equation can be solved using factoring, completing the square, or the quadratic formula: x = (-b ± √(b² - 4ac)) / (2a).

Tags

CCSS.HSA-REI.B.4B

Front

What is the area of a circle?

Back

The area of a circle is calculated using the formula A = πr², where r is the radius of the circle.

Tags

CCSS.7.G.B.4

Front

Define the term 'exponent'.

Back

An exponent is a number that indicates how many times to multiply the base by itself. For example, in 2³, 2 is the base and 3 is the exponent, meaning 2 × 2 × 2.

Tags

CCSS.6.EE.A.1

Front

What is the difference between a permutation and a combination?

Back

A permutation is an arrangement of items where order matters, while a combination is a selection of items where order does not matter.

Front

Explain what a rational number is.

Back

A rational number is any number that can be expressed as the quotient or fraction p/q of two integers, where p is the numerator and q is the denominator (q ≠ 0).

Tags

CCSS.HSN.RN.B.3