ACT Practice Last 20

Three vertices of a rectangle in the standard (x, y) coordinate plane have the coordinates (−2, 3), (4, 3) and (4, 2). What are the coordinates of the fourth vertex?

Anne made apple jelly and applesauce out of a bushel

of apples. If the number of jars of jelly, j, is 3 less

than twice the number of jars of applesauce, a, which

expression shows the relationship of jars of jelly, j, to

the jars of applesauce, a?

What is the smallest possible value for a where

y = sin 2a reaches its maximum?

Let x = 3y − 4z + 7. What happens to the value of x

if the value of y decreases by 2 and the value of z is

increased by 1?

• It

  increased by 3

• It

  increased by 5

• It

  increased by 1

• It

  increased by 10

• It is unchanged.

Which of the following represents the values of x that

are solutions for the inequality (x − 1)(4 − x) < 0?

In the figure below, triangle PQR is an isosceles right

triangle. What is the ratio of the hypotenuse to the length

of PQ?