ACT Math Review II

How do you convert a linear equation from standard form to slope-intercept form?

• Rearrange the equation to solve for y, isolating it on one side.

• Multiply both sides by a constant to eliminate fractions.

• Add the same value to both sides of the equation.

• Change the coefficients to their reciprocals.

How do you calculate the height of a cone if you know its volume and radius?

• h = 3V/(πr²)

• h = (1/3)πr²V

• h = V/(πr)

• h = 3V/(r²)

How do you find the measure of an angle when given the measures of other angles in a triangle?

• Add the measures of the known angles and divide by 2 to find the unknown angle.

• Subtract the sum of the known angles from 180 degrees to find the unknown angle.

• Multiply the measures of the known angles to find the unknown angle.

• Use the Pythagorean theorem to find the unknown angle.

What is the Pythagorean theorem?

• In a right triangle, a² + b² = c², where c is the hypotenuse.

• The sum of the angles in a triangle is 180 degrees.

• The area of a circle is πr².

• The perimeter of a rectangle is 2(l + w).

How do you calculate the volume of a cone?

• V = (1/3)πr²h

• V = πr²h

• V = (2/3)πr²h

• V = (1/2)πr²h

What is the formula for the area of a triangle?

• A = (1/2)bh

• A = b + h

• A = bh^2

• A = (1/3)bh

What is the definition of a right triangle?

• A triangle that has one angle measuring 90 degrees.

• A triangle with all sides of equal length.

• A triangle that has no angles measuring more than 60 degrees.

• A triangle that has two angles measuring 45 degrees.

What is the definition of slope in a linear equation?

• The slope is a measure of the steepness of a line, calculated as the rise over run (change in y over change in x).

• The slope is the point where the line intersects the y-axis.

• The slope is the distance between two points on the line.

• The slope is the angle formed by the line with the x-axis.

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

• y = mx + b

• y = bx + m

• y = mx - b

• y = m + bx

What is the definition of complementary angles?

• Two angles whose measures add up to 90 degrees.

• Two angles that are equal in measure.

• Two angles that add up to 180 degrees.

• Two angles that are adjacent to each other.