ACT Math Prep 1

Front

What is the probability of drawing a number less than 9 from the numbers 1 to 15?

Back

The probability is 8/15, since there are 8 numbers (1 to 8) that are less than 9.

Front

What is the simplified form of the expression -4x^3 - 12x^3 + 9x^2?

Back

The simplified form is -16x^3 + 9x^2.

Front

If 1/4 of 180 students earned an A and 1/3 earned a B, how many earned a C?

Back

75 students earned a C.

Front

How can the number of fish in Skipper's Pond be modeled?

Back

The number of fish can be modeled by the equation f(x) = 3(2^x), where x is the number of years after 2000.

Front

What is the value of f(6) in the equation f(x) = 3(2^x)?

Back

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

Front

What is the total number of students who earned an A if 1/4 of 180 students earned an A?

Back

45 students earned an A.

Front

What is the total number of students who earned a B if 1/3 of 180 students earned a B?

Back

60 students earned a B.

Front

If 1/4 of the students earned an A and 1/3 earned a B, what fraction of students earned a C?

Back

The fraction of students who earned a C is 5/12.

Front

What is the formula for calculating probability?

Back

Probability = (Number of favorable outcomes) / (Total number of outcomes).

Front

What is the sum of the coefficients in the expression -4x^3 - 12x^3 + 9x^2?

Back

The sum of the coefficients is -4 - 12 + 9 = -7.