ACT Math Prep 1

Front

What is the absolute value of a number?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction. For example, |6| = 6 and |-6| = 6.

Front

Calculate |6 - 4| - |3 - 8|.

Back

The calculation is |2| - |-5| = 2 - 5 = -3.

Front

What is an exponential function?

Back

An exponential function is a mathematical function of the form f(x) = a * b^x, where 'a' is a constant, 'b' is a positive real number, and 'x' is the exponent.

Front

Using the model f(x) = 3(2^x), how many fish were in Skipper's Pond at the beginning of the year 2006 (x=6)?

Back

f(6) = 3(2^6) = 3 * 64 = 192.

Front

What is the process of combining like terms in algebra?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power.

Front

Simplify the expression -4x^3 - 12x^3 + 9x^2.

Back

Combine like terms: -4x^3 - 12x^3 = -16x^3, so the expression simplifies to -16x^3 + 9x^2.

Front

What is a fraction?

Back

A fraction represents a part of a whole and is expressed as a/b, where 'a' is the numerator and 'b' is the denominator.

Front

If 1/4 of 180 students earned an A, how many students is that?

Back

1/4 of 180 = 180 * (1/4) = 45 students.

Front

If 1/3 of 180 students earned a B, how many students is that?

Back

1/3 of 180 = 180 * (1/3) = 60 students.

Front

How do you find the remaining students who earned a C?

Back

Total students = 180; Students with A = 45; Students with B = 60. Remaining = 180 - (45 + 60) = 75 students.