ACT Math Practice

Front

What is the probability of an event?

Back

The probability of an event is a measure of the likelihood that the event will occur, expressed as a number between 0 and 1, where 0 indicates impossibility and 1 indicates certainty.

Front

How do you calculate the probability of drawing a red marble from a bag?

Back

To calculate the probability of drawing a red marble, use the formula: P(red) = (Number of red marbles) / (Total number of marbles).

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. It is always non-negative.

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Back

First, calculate the absolute values: |6-4| = 2 and |3-8| = 5. Then, simplify: 2 - 5 = -3.

Front

What is the formula to find a percentage of a number?

Back

To find a percentage of a number, multiply the number by the percentage (in decimal form). For example, to find 3% of 4.14 x 10^4, calculate: 0.03 * 4.14 x 10^4.

Front

How do you express the sum of angles in sine and cosine?

Back

The sum of angles in sine and cosine can be expressed using the formulas: sin(a + b) = sin(a)cos(b) + cos(a)sin(b) and cos(a + b) = cos(a)cos(b) - sin(a)sin(b).

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Back

3% of 4.14 x 10^4 is 1,242.

Front

How do you combine like terms in algebra?

Back

To combine like terms, add or subtract the coefficients of terms that have the same variable raised to the same power.

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Back

Front

What is the sine of an angle?

Back

The sine of an angle in a right triangle is the ratio of the length of the opposite side to the length of the hypotenuse.