ACT Math Practice Test 6

If x is a real number such that x³ = 729, then x²+√x =?

If 6x − 3 = −5x + 7, then x =?

The expression a[(b − c) + d] is equivalent to:

A rectangular lot that measures 125 feet by 185 feet is completely fenced. What is the length, in feet, of the fence?

The oxygen saturation of a lake is found by dividing the amount of dissolved oxygen the lake water currently has per liter by the dissolved oxygen capacity per liter of the water, and then converting that number into a percent. If the lake currently has 6.4 milligrams of dissolved oxygen per liter of water and the dissolved oxygen capacity is 9.5 milligrams per liter, what is the oxygen saturation level of the lake, to the nearest percent?

A student has earned the following scores on four 100-point tests this marking period: 63, 72, 88, and 91. What score must the student earn on the fifth and final 100-point test of the marking period to earn an average test grade of 80 for the five tests?

Mr. Wilk is a high school math teacher whose salary is $33,660 for this school year, which has 180 days. In Mr. Wilk’s school district, substitute teachers are paid $85 per day. If Mr. Wilk takes a day off without pay and a substitute teacher is paid to teach his classes, how much less does the school district pay in salary by paying a substitute teacher instead of Mr. Wilk for that day?

4x³× 3xy²× 2xy² is equivalent to:

Shannon walked 1²⁄₃ miles on Wednesday and 2³⁄₅ miles on Thursday. What was the total distance, in miles, Shannon walked during those 2 days?

If a rectangle measures 20 meters by 48 meters, what is the length, in meters, of the diagonal of the rectangle?

At a bottling plant, 10,000 liters of carbonated water are needed to produce 3,000 bottles of soda. How many liters of carbonated water are needed to produce 750 bottles of soda?

Reggie knows how to make 5 different entrees, 4 different side dishes, and 6 different desserts. How many distinct complete meals, each consisting of an entrée, a side dish, and a dessert, can Reggie make?

If a gumball is randomly chosen from a bag that contains exactly 6 yellow gumballs, 5 green gumballs, and 4 red gumballs, what is the probability that the gumball chosen is NOT green?

The formula for the volume, V, of a sphere with radius r is V = (⁴⁄₃)πr³. If the radius of a baseball is 1¹⁄₃ inches, what is the volume to the nearest cubic inch?