ACT Math Practice

Front

What is the slope of a line parallel to the line represented by the equation 9x + 4y = 7?

Back

The slope is -(9/7). Parallel lines have the same slope.

Front

How do you calculate the sale price after a markdown?

Back

To calculate the sale price, multiply the original price by (1 - markdown percentage). For example, for a $100 item with a 30% markdown: Sale Price = 100 * (1 - 0.30) = $70.

Front

What is the formula for the perimeter of a rectangle?

Back

The perimeter P of a rectangle is given by 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 equation is 2(2w + w) = 30, solving gives w = 5 cm and length = 10 cm.

Front

What is the formula for the area of a rectangle?

Back

The area A of a rectangle is given by A = length × width.

Front

How do you find the midpoint of a line segment with endpoints (x1, y1) and (x2, y2)?

Back

The midpoint M is given by M = ((x1 + x2)/2, (y1 + y2)/2).

Front

What is the measure of an angle in a triangle if the other two angles are known?

Back

The measure of the third angle can be found using the formula: Angle3 = 180° - (Angle1 + Angle2).

Front

What is the relationship between the angles formed by parallel lines and a transversal?

Back

When a transversal crosses parallel lines, corresponding angles are equal, and alternate interior angles are equal.

Front

How do you calculate a percentage discount on an item?

Back

To calculate the discount amount, multiply the original price by the discount percentage. Subtract this amount from the original price to find the sale price.

Front

What is the formula for the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope m is calculated as m = (y2 - y1) / (x2 - x1).