ACT MATH

Front

What is an irrational number?

Back

An irrational number is a number that cannot be expressed as a fraction of two integers. Its decimal representation is non-repeating and non-terminating.

Front

How many irrational numbers are there between any two distinct real numbers?

Back

There are infinitely many irrational numbers between any two distinct real numbers.

Front

What is the greatest common factor (GCF)?

Back

The GCF of two or more integers is the largest positive integer that divides each of the integers without leaving a remainder.

Front

How do you find the GCF of 42, 126, and 210?

Back

To find the GCF, list the prime factors of each number: 42 = 2 × 3 × 7, 126 = 2 × 3^2 × 7, 210 = 2 × 3 × 5 × 7. The GCF is 2 × 3 × 7 = 42.

Front

What is the formula for the perimeter of a rectangle?

Back

The perimeter P of a rectangle is given by the formula P = 2(length + width).

Front

If a rectangle has a perimeter of 30 cm and is twice as long as it is wide, what are the dimensions?

Back

Let width = w, then length = 2w. The perimeter equation is 2(2w + w) = 30, solving gives w = 5 cm and length = 10 cm.

Front

What is the area of a rectangle?

Back

The area A of a rectangle is calculated using the formula A = length × width.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).

Front

How do you find the slope of a line given its equation in standard form?

Back

To find the slope from the equation Ax + By = C, rearrange to slope-intercept form (y = mx + b) where m is the slope.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.