Mac ACT Prep 2

Front

What is the formula to calculate the height of a ramp given its length and the distance covered along the ground?

Back

Use the Pythagorean theorem: h = √(l² - d²), where h is height, l is length of the ramp, and d is distance along the ground.

Front

How do you calculate the time taken for a computer to perform a certain number of calculations?

Back

Time (seconds) = Total calculations / Calculations per second.

Front

What is the formula for calculating the area of a rectangle?

Back

Area = length × width.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

Convert the equation to slope-intercept form (y = mx + b) to identify the slope (m).

Front

What does the slope of a line represent in a graph?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis (x=0); it represents the value of y when x is zero.

Front

How do you convert scientific notation to standard form?

Back

Multiply the coefficient by 10 raised to the power of the exponent.

Front

What is the relationship between the sides of a right triangle?

Back

In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides (Pythagorean theorem).

Front

What is the area of a triangle?

Back

Area = 1/2 × base × height.