free printable act math practice test with explinations

Therefore, AC is a diameter of the small circle. The point of tangency and the centers of tangent circles lie on the same line, so segment AC must pass through the center of the small circle. It is given that the small circle passes through the center of the large circle, so point C is on the small circle. It is given that the circles are tangent at point A, so point A is on the small circle. Tangent point A is on the large circle, so segment AC is a radius.

$free printable act math practice test with explinations$

The given diameter of the large circle is 20 inches, so the length of its radius is 10. The radius of a circle is half the diameter. To find the ratio of the areas, first use the given diameter of the large circle and the properties of tangent circles to find the radius of each circle. The formula for the area of a circle is A= πr 2, where r is the radius. To decrease a value by p%, multiply it by (1 ─ A discounted price that is p% less than an original price is equivalent to the original price decreased by p%.This may also result from multiplying (instead of dividing) the sale price by (1 ─ (Choice D) $3.36 may result from mistaking $16.80 to be the original price (instead of the sale price). (Choice C) $2.80 may result from the misconception that to calculate a p% decrease, it is necessary to multiply by (1 + It may result from the misconception that to calculate a p% decrease, it is necessary to multiply by p instead of (Choice B) $0.84 is equivalent to the sale price divided by 20 (instead of 0.80). It may result from the misconception that to calculate a p% decrease, it is necessary to multiply by (100 − p) (Choice A) $0.21 is equivalent to the sale price divided by 80 (instead of 0.80). Therefore, the original price was $4.20 more than the sale price. Now subtract the sale price from the original price to find the difference. The original price of the dog food was $21. Now solve the equation for x, the original price. Let the original price be x and write an equation to relate the original price ( x), the given percent decrease ( p = 20), and the given sale price ($16.80). To decrease an amount by p %, multiply it by (1 ─ It is given that the sale price of the dog food is 20% off the original price, so the sale price ($16.80) is the result of a 20% decrease of the original price. The question asks how much more the original price is than the sale price, so find the difference of the original price and the sale price.įirst calculate the original price from the given information and then subtract to find the difference. AP United States Government and Politics Study Guide.AP® HISTORY & SOCIAL SCIENCE Menu Toggle.

Free printable act math practice test with explinations